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Wave propagation matlab code

1. The music playing in the background is Ameno by Era project sorry I couldn't find anything cooler ;) Back to Jean Paul Ampuero's Homepage Codes for wave propagation and earthquake dynamics : For the numerical simulation of 2D earthquake dynamics, the spectral boundary integral equation code BIMAT is well suited for planar faults in homogeneous and bimaterial media, and the spectral element code SEM2DPACK is well suited for non-planar faults in heterogeneous or non-linear media. 1D Wave Propagation: A finite difference approach. Mar 29, 2017 This code solves the 2D Wave Equation on a square plate by finite differences method 1D Wave Propagation: A finite difference approach. suppose I have a point source at z=z0. In this article, we share MATLAB codes which have been developed at Home > eBooks > Numerical Simulation of Optical Wave Propagation with Examples in MATLAB > Appendix B: MATLAB Code Listings Access to eBooks is limited to institutions that have purchased or currently subscribe to the SPIE eBooks program. München, Germany ABSTRACT Time-dependent modeling of controlled opto-mechanical systems (e. 1 Matlab scripts are notoriously slow, especially when loops are introduced. BASIC PLOTTING IN MATLAB MATLAB has an excellent set of graphic tools. 2. Numerical simulation of optical wave propagation [electronic resource] : with examples in MATLAB. The code is an implementation of the finite difference and time-stepping scheme proposed by Virieux (1986). One-Dimensional Cylindrical Wave and Bessel Functions. The numerical method is then used to obtain numerical solutions which are compared with experimental data avail-able in the literature. MATLAB enables you to add axis labels and titles, e. This program was created to help distinguish among various types of lithospheric structure given the uneven distribution of sources and receivers commonly utilized in passive source MatLab code for 1D dynamic wave propagation with gradient elastic dispersion Description The code below is a MatLab script showing an animation of the effects of dispersion in a heterogeneous bar (red line); the wavefront in an homogenous bar (blue line) is shown for comparison. Content In this repository 1-D and 2-D versions of Finite-Difference wave simulation codes are available in Matlab and Python. 0 (1. This function calculates displacement response at interfaces of an elastic multilayered medium to a vertically propagating unitary SV or SH elastic wave. Learn more about wave propagation codeModeling the Propagation of RF Signals. The toolbox has a wide range of functionality, but at its heart is an advanced numerical model that can account for both linear and nonlinear wave propagation, an arbitrary distribution of heterogeneous material parameters, and power law acoustic absorption. In the frequency domain, this effect is visible as the gener-ation of higher order frequency modes. location Boca Raton . programu Matlab) Keywords: Surface Acoustic Wave Device (SAW), Simulation, Matlab, CVD Diamond. Each one has a frequency of 1000 Hz, peak amplitude of 2 volts, and a DC offset of 2. A MATLAB-based one-way and two-way split-step parabolic equation software tool (PETOOL) has been developed with a user-friendly graphical user interface (GUI) for the analysis and visualization of radio-wave propagation over variable terrain and through homogeneous and inhomogeneous atmosphere. 1D Wave Propagation: A finite difference approach. Interfaces with MATLAB by treating it as a computational engine. The code is an implementation of the finite difference and time-stepping scheme proposed by Virieux Home » Source Code » The ElastoDynamics Toolbox is a MATLAB toolbox to model wave propagation in la This thesis explores a MATLAB implementation of a Fourier transform approach to model and predict transient optical wave propagation through free-space. Most of this code is the property of Johanan L. . Virieux (1986)), which is solved by Finite-Differences on a staggered-grid. The Marmousi dataset (Versteeg and Grau, 1991) was created using a second-orderdecomposed into harmonic wave solutions involving sine and cosine functions. The MATLAB code can be found in A 2D PDE wave equation constrained in a square grid and then a rectangular grid. Numerical Simulation Of Optical Wave Propagation Is Solely Dedicated To Wave Numerical Simulation Of Optical Wave Propagation With Examples In Matlab Jason; Numerical Simulation Of Optical Wave Propagation With Examples In Matlab A Set Of Matlab Code Files Is Available On A Cd Bound In Examples Videos transmission and to display the results. Daley secondary purpose was to create Matlab code suitable for generation of synthetic datasets. For a wave with non-ultrasound frequency of 20 Hz this was the result: For the 20 Hz input wave the wave interaction between the incompressible kidney stone can be clearly distinguished and the interaction between the reflected waves can be seen as the wave is not able to pass through the stone. Cox ⇤Department of Medical Physics and Biomedical Engineering, University College London, London, UK ‡Faculty of Information Technology, Brno University of Technology, Brno, CZ and numerical results of the behavior of electromagnetic wave propagation along Z - direction in dielectric slab waveguide in the two cases of cladding were investigated with the aid of MATLAB program. Unfortunately, (7) still holds for the DFT. dtic. I have already done a beamforming code and i want to try it. I am not expert on ABAQUS and trying to figure out how it works. The Seismic Wave Equation Using the stress and strain theory developed in the previous chapter, we now con-struct and solve the seismic wave equation for elastic wave propagation in a uniform whole space. 56 Figure 5. Research Summary. Wave propagation software, computational science, and reproducible research 3 can be built upon and used as a “subroutine” in future work. Codona, Ph. Update (21. Acoustic propagation, transient waves, transfer function, linear systems theory. The intention is not to give a complete description of A couple of things to point out in the Matlab code. The bit error rate for binary phase shift keying (BPSK) in AWGN is derived. ) between the Python and Matlab Research Summary. This sometimes triggers warnings from MATLAB, but makes the code very concise and readable. by the mFD2D code, as well as instructions on how to use the software. The problem was that is was importing the images in RGB, such that it …MZA Associates Corporation has posted a video that summarizes the results of tests of the High Energy Fiber Laser (HEFL) Helicopter Beam Director Subsystem (HBDS) performed at the Air Force Research Laboratory (AFRL) Environmental Laser Test Facility (ELTF). This electromagnetic cloaking effect can be studied and demonstrated with this program. Learn more about wave propagation code for long time wave propagation. Beam propagation method The beam propagation method is a numerical way of determining the fields inside a waveguide. 2) provide a useful review of the 1-D wave equation as applied to a vibrating string, with analogies to seismic wave propagation in the Earth. We will show that two types of solutions are possible, corresponding Home > eBooks > Numerical Simulation of Optical Wave Propagation with Examples in MATLAB > Appendix B: MATLAB Code Listings Access to eBooks is limited to institutions that have purchased or currently subscribe to the SPIE eBooks program. Linear elasticity models materials as continua. The MATLAB (matrix-laboratory) programming environment is especially useful in conveying these concepts to students because it is geared towards the type of matrix manipulations useful in solving introductory quantum physics problems. Wrapping Matlab, R and IDL Codes¶. Code should be able to generate synthetic seismograms a This MATLAB functionreturns the path loss of radio wave propagation at the receiver site from the transmitter site. The forward modelling code is based on fd3d by Olaf Hellwig. The simulation functions are based on the k-space pseudospectral method and are both fast k-Wave Toolbox. Linear elasticity is a simplification of the more general nonlinear theory of elasticity and is a branch of continuum mechanics. In addition to the wave plot, after running the Matlab code, we can see the following data in the Matlab prompt: load reflection coefficient; maximum and minimum voltage values; standing wave ratio; We can also interact with the plot and mark the points we like in the wave, which values will appear in the Matlab prompt. Ask Question 3. Topics include an introduction to MATLAB, Fourier theory and E&M propagation, geometrical optics, optical pattern recognition, geometrical optics and ray tracing through simple optical systems, interference and wave optics, holography and computer-generated holography, polarization, speckle phenomenon, and laser theory and related technology. Stein and Wysession (2003, section 2. Physics of Acoustic Wave Propagation The theory of acoustic wave propagation is now described. DAY 4, Miriam KRISTEKOVA 2, Peter PAZAK 1, Martin GALIS 1, Heiner IGEL 5 1 Faculty of Math. See also a comparison between RAM and Kraken. The Marmousi dataset (Versteeg and Grau, 1991) was created using a second-order finite-difference scheme. First, the number of grid points used per wavelength will control whether the computational grid can support the propagation of the generated harmonics. The MATLAB command to plot a graph is pplot(x,y), e. 2 Waves and wave fronts. The saved variables can be used to run simulations using the C++ code. Nov 2, 2016 wave propagation grape code. Getting Started; Examples; Initial Value Problems; Example: Homogenous Propagation Medium; Example: Using A Binary Sensor Mask; Example: Defining A Sensor Mask By Opposing CornersBuy Wave Propagation in a Turbulent Medium (Dover Books on Physics) on Amazon. Imprint CRC Press . 3D seismic finite-difference modelling, Full Waveform Inversion (FWI) and Reverse Time Migration (RTM) code for wave propagation in isotropic (visco)-acoustic/elastic and anisotropic orthorhombic/triclinic elastic media, which I developed together with Olaf Hellwig and Denise De Nil. split step beam propagation atmospheric turbulence Each topic is thoroughly discussed. Based on this formulation, a MATLAB code was developed which simulates an experimental configuration that consists of: a double wall cavity, formed …A MATLAB GUI for Ocean Acoustic Propagation Chris Eggen, Bruce Howe, and Brian Dushaw Applied Physics Laboratory using one of several standard propagation codes. Słowa kluczowe: SAW – powierzchniowa fala akustyczna, Matlab. 0. Diffraction Through A Slit Example. Wave Reflection. Related Subjects: (5) MATLAB. The simulation scripts in Matlab/Octave also provided. Edition 1st Edition . Hi, I am working on modeling wave propagation in ABAQUS/CAE. We describe a MATLAB implementation of a 2D wave solver capable of simulating the linear and nonlinear propagation of ultrasonic waves through an attenuating medium modeled as a 2D spatial grid hmm i guess too long for anyone to read fully. 1 The Wave Equation One of the most important predictions of the Maxwell equations is the existence of electromagnetic waves which can transport This title can be used to either complement another electromagnetics text, or as an independent resource. The fundamental "linearizing" assumptions of linear elasticity are In radio, an antenna is the interface between radio waves propagating through space and electric currents moving in metal conductors, used with a transmitter or receiver. Employing multiple antennas at the transmitter is called “Transmit Diversity” and multiple antennas at the receiver is called “Reception Diversity”. What will be the equation of the Spherical wave which originates from there?Simulation of Radio Wave Propagation by Beam Tracing Arne Schmitzy, Tobias Rick+, Thomas Karolski , Arne Schmitz, Tobias Rick, Thomas Karolski, Torsten Kuhlen & Leif Kobbelt / Simulation of Radio Wave Propagation by Beam Tracing introduced by Heckbert and Hanrahan [HH84]. MATLAB Release Compatibility. AUTHOR(S) Lee, Nicholas C. In Section IV an example of using the GUI is presented, including snapshots from the 3-D animation of the wave propagation, the spectrum of the Describes wave propagation in magneto-dielectric materials. Simulation of electromagnetic wave propagation inside and outside a rectangular waveguide Amarabha Banerjee Tata Institute of Fundamental Research (Dated: May 24, 2010) Abstract The problem consists of an electromagnetic wave incident on one of the faces of a rectangular waveguide. Magnetics, Dielectrics, and Wave Propagation with MATLAB (R) Codes by Carmine Vittoria, 9781439841990, available at Book Depository with free delivery worldwide. If you are interested in analysing propagation of electromagnetic waves in a lossy medium using MATLAB then i'm sure you have checked the internet and found no reference How can I fix this code so I could to plot a 1D Learn more about 1d wave equationIn the present paper a weighted residual formulation of wave propagation through a porous material for a three‐dimensional case, based on the theoretical formulation of Zwikker and Kosten for sound propagation in porous material, is described. MATLAB code has been used for this purpose to calculate modes, circle radius of mode, cutoff Overview. Sevgi and C¸. This set of simulations make use of the Alternating Direction Implicit method for solving the parabolic wave equation that arises in FD BPM. The equations have been written such that the direct and reﬂected compo-nents appear ﬁrst. Because destiny microwave, magnetic resonance, and wave propagation structures will contain miniature units, nanosize constructions, multifunctional purposes, and composites of assorted different types of fabrics, their improvement calls for noticeably multidisciplinary collaborations. Aimed at creating uncorrelated propagation paths for a signal, spatial diversity is effected by usage of multiple antennas in the transmitter and/or the receiver. Use features like bookmarks, note taking and highlighting while reading Magnetics, Dielectrics, and Wave Propagation with MATLAB® Codes. Wave propagation and interference phenomenom simulation with Matlab Young's double-slit experimentAdd tags for "Magnetics, dielectrics, and wave propagation with MATLAB codes". ITU-R is the organization's radio communication sector and the P series focuses on radio wave propagation. This command snaps the different frames first and then plays them in figure window of MATLAB. C. 76 . 2 The Momentum EquationFeatures. D. Appendix B. Hazha Mustefa A. MATLABR-Based Electromagnetics is a self-contained textbook that can be used either as a sup- plement to any available electromagnetics text (e. The music playing in the background is Ameno by  Acoustic Propagation Modeling Using MATLAB - DTIC apps. Radio wave propagation -- Mathematics. MATLAB scripts have been developed to estimate a field of view from a single transducer and to compute transmission losses between a source and receiver using one of several standard propagation codes. In this technical report we will describe some of the numerical codes written in. 5 Software output for wave propagation pattern as well as convergence regions which are about 70(km) In Fig. 14. It's important to do this symmetrically so that each half wave has a start and end point on the axis. Dielectrics -- Mathematics. Visualize wave propagation through media with different impedances and from testing and studying the code again, using R2013b. Fig. Abstract: We describe a MATLAB implementation of a 2D wave solver capable of Computation, simulation, and animation is performed using Matlab, from the following Feb 13, 2016Sep 1, 1993 Code for the MATLAB implementation is provided. version 1. A primary research thrust is the advancement of MIMO (multiple-input multiple-output) communication technology including space-time coding, efficient receiver algorithms, channel quantization, synchronization, scheduling algorithms, cross-layer design for MIMO ad hoc Features. So I have a Matlab function that creates a series of square impulses, then I apply a noise over them and a filter, the problem is I need to change the form of the impulses into triangular form: x = Here is my Matlab code for 5 different signals (sine wave, 2 square waves with different duty cycles, sawtooth wave, and a triangle wave). T. Code Review; Magento; Software Recommendations;An efficient Matlab script to calculate heterogeneous anisotropically elastic wave propagation in three dimensions The code was written for teleseismic wave propagation in the 1–0. It appears you are propagating the wave by Fraunhofer approximation? While I'm not sure what your output looks like, the FFT often 'splits' the desired signal such that half of it is on the right of the window and half of it is on the left. Because future microwave, magnetic resonance, and wave propagation systems will involve miniature devices, nanosize structures, multifunctional applications, and composites of various types of materials, their development requires distinctly multidisciplinary collaborations. It should be noted that, the Matlab code in Table 2 directly integrates (4) numerically, so any number of frequency samples can be used to plot a frequency spectrum. What will be the equation of the Spherical wave which originates from there? The codes of subprograms in C, which simulate the X-rays wave propagation through berillium lenses and air. the V parameter is satisfied for the single mode. This is the Leapfrog method for the wave propagation term and forward Euler for diffusion. The wave equation describes how waves propagate: light waves, sound waves Matlab code for update The update rule involves past, current and future times. I have included some code from the MathWorks web site to compute Zernike polynomials and Mark Milton's code to compute disk harmonics. Apr 01, 2017 · 2D elastic P-SV wave propagation (MATLAB) jgc9999. Finite difference modelling of the full acoustic wave equation in Matlab Hugh D. mil/dtic/tr/fulltext/u2/a270905. • A new 2-D compact formulation on nodal meshes with Crank–Nicolson time integration. Numerical Simulation Of Optical Wave Propagation Is Solely Dedicated To Wave Numerical Simulation Of Optical Wave Propagation With Examples In Matlab Jason; Numerical Simulation Of Optical Wave Propagation With Examples In Matlab A Set Of Matlab Code Files Is Available On A Cd Bound In Examples Videos In the present paper a weighted residual formulation of wave propagation through a porous material for a three‐dimensional case, based on the theoretical formulation of Zwikker and Kosten for sound propagation in porous material, is described. k-Wave is an open source acoustics toolbox for MATLAB and C++ developed by Bradley Treeby and Ben Cox (University College London) and Jiri Jaros (Brno University of Technology). How can I fix this code so I could to plot a 1D Learn more about 1d wave equationAn efficient Matlab script to calculate heterogeneous anisotropically elastic wave propagation in three dimensions The code was written for teleseismic wave propagation in the 1–0. Learn more about wave propagation codeCodes for wave propagation and earthquake dynamics : For the numerical simulation of 2D earthquake dynamics, the spectral boundary integral equation code BIMAT is well suited for planar faults in homogeneous and bimaterial media, and the spectral element code SEM2DPACK is well suited for non-planar faults in heterogeneous or non-linear media. MATLAB code based on a weak formulation of wave propagation through a porous material: comparison with experimental results T. CRC Press, Inc. Learn more about em wave propagation 3-d This is possible, but I made this code for relatively large environments, if you want to mesh a whole building with less than a few mm, you will have a lot of meshes and computation may last for a very very long time, specially that my code is not optimized for such purposes. Pressure variations of the ultrasound wave cause bubbles present in the propagation medium to contract and expand. Using this simple and very general method, the text effectively bridges the gap between microscopic and macroscopic principles as applied to wave propagation. secondary purpose was to create Matlab code suitable for generation of synthetic datasets. To model the seismic wave propagation in random media, what software or programming code is most efficient ? hmm i guess too long for anyone to read fully. The music playing in the background is Ameno by Era project sorry I couldn't find anything cooler ;) Because future microwave, magnetic resonance, and wave propagation systems will involve miniature devices, nanosize structures, multifunctional applications, and composites of various types of materials, their development requires distinctly multidisciplinary collaborations. 6. The last term is referred to as the surface or lateral wave. Still then, as the wave travels, the intensity of wave goes on decreasing. The book discusses digital Fourier transforms (FT), FT-based operations, multiple methods of wave-optics simulations, sampling requirements, and simulations in atmospheric AOSim2: MATLAB-based paraxial wave optics, random media, and Adaptive Optics (AO) simulation. The electromagnetic wave is simulated in MATLAB is by using ‘movie’ command. You will see updates in your activity feed; You may receive emails, depending on your notification preferences Two-dimensional time domain simulation of double-slit experiment done with MATLAB. matlab: The “official” Python interface to MATLAB. In this book you will learn Ansys, Abaqus and MATLAB softwares. During the last two decades, nonlinear wave propagation The current code models a longitudinal wave; a wave that oscillates along the direction of propagation. Nov 14, 2011 for long time wave propagation. 5(a) using (a) TMM and (b) FEM respectively. wave propagation matlab code1D Wave Propagation: A finite difference approach. Cox Department of Medical Physics and Biomedical Engineering, University College London, London, UK zFaculty of Information Technology, Brno University of Technology, Brno, CZMATLAB Simulink Simulation Platform for Photonic Transmission Systems ABSTRACT High speed and ultra-high capacity optical communications have emerged as the essential techniques for backbone global information transmission networks. Runs a Python interpreter inside MATLAB, and allows transferring data (matrices etc. Supervised by Dr. These Calculation of radio electrical coverage in Medium-Wave Frequencies Marcos Crego García 6 1 Introduction This project deals with radioelectrical propagation in the frequency band of Medium-Wave. 1 Introduction. To confirm this, I run the same code in Matlab R2014b, which does a better job at avoiding aliasing caused by graphic rendering (note also that the default colormap has been changed on this version of Matlab). In numerical simulation of wave propagation, the finite elements are used to model the near field, whereas the infinite elements are used to represent the behaviour of the far field. Example code is included and easily implemented in practice. 1 Plane wave. Ask Question. Abstract: We describe a MATLAB implementation of a 2D wave solver capable of Feb 13, 2016 This video shows propagation of non-polarized waves in 2D emitted by phased source array. PERFORMING ORGANIZATION NAME(S) AND ADDRESS(ES) 8. wave propagation through 2D heterogeneous isotropic media. RAM in Fortran 95. For information about how to interface with Python from MATLAB, visit this link here. A small piece of code may be useful to understand the working of plot of electromagnetic wave and ‘movie’ command. ; pythoncall: A MATLAB-to-Python bridge. Magnetics, dielectrics, and wave propagation with matlab , get this from a library! magnetics, dielectrics, and wave propagation with matlab codes [c vittoria]. Gialamas; D. Overview. ac. Progress of the wave on the through and stub lines can also be viewed. Get companion software; About This Book. The toolbox can be used to solve a variety of problems governed by wave propagation in the soil, such as (1) site amplification, (2) the computation of dispersive wave modes in layered soils, and (3) the calculation of the forced response of the soil due to harmonic and transient loading. Linear elasticity is the mathematical study of how solid objects deform and become internally stressed due to prescribed loading conditions. The software is designed for time domain acoustic and ultrasound simulations in complex and tissue-realistic media. astronomical telescopes) is part of the VLTI system engineering work at ESO. , a layer over halfspace) to propagating ruptures in complex 3D representations of Los Angeles Basin geology. The dynamic mode profile can be accurately estimated as the wave propagates through the wave guide. You can see that, compared with the previous figure, the results are improved:A MATLAB GUI FOR SIMULATING THE PROPAGATION OF THE ELECTROMAGNETIC FIELD IN A 2-D INFINITE SPACE Matlab and allows the simulation of the wave propagation through a 2-D infinite space, modeled as explained in the previous section of the paper. 16. The book discusses digital Fourier transforms (FT), FT-based operations, multiple methods of wave-optics simulations, sampling requirements, and simulations in atmospheric MATLAB Code Examples In this appendix, various simple code fragments are provided. MATLAB® code was developed to implement the angular spectrum propagation method. All readers will also benefit from the use of the MATLAB Oct 07, 2018 · Solving a 2nd order PDE 2D-wave equation using FInite Difference method in MATLAB. 2D wave equation with randomly distributed excitation points as the array. Text books leave much to be desired regarding visualization of wave propagation since they are not animated. The [1D] scalar wave equation for waves propagating along the X axis can be expressed as (1) 22 2 22 u x t u x t( , ) ( , ) v tx ww ww where u x t( , ) is the wavefunction and v is the speed of propagation of the waveform. The graphical and numerical results coincide. Learn more about wave propagation code This is possible, but I made this code for relatively large environments, if you want to mesh a whole building with less than a few mm, you will have a lot of meshes and computation may last for a very very long time, specially that my code is not optimized for such purposes. This wave can then be described by the two-dimensional functions (waveform traveling to the right) (waveform traveling to the left) more generally, by representing two component wave forms and traveling through the medium in opposite directions. SPONSORING I MONiTORING AGENCY NAME(S) AND ADDRESS(ES) 10. My current research is at the intersection of communication theory, signal processing, and information theory. Finite-difference time-domain or Yee's method (named after the Chinese American applied mathematician Kane S. The following Matlab project contains the source code and Matlab examples used for basic radiowave propagation models. Often it is called the Norton surface wave from the engineering models he We have created a second-order ﬁnite-difference solution to the anisotropic elastic wave equation in three dimensions and implemented the solution as an efﬁcient Matlab script. Numerical Simulation of Optical Wave Propagation is solely dedicated to wave-optics simulations. MATLAB code listings; Numerical Simulation of Optical Wave Propagation is solely dedicated to wave-optics simulations. Plotting a given data set or the results of computation is possible with very few commands . Space Wave Propagation: Reflection from ground for vertically and horizontally polarized waves – Reflection characteristics of earth – Resultant of direct and reflected ray at the receiver – Duct propagation. Nabeil, I. Although there is a great solution for this. However, this doesn't mean it's the best tool for every purpose! There is a diverse range of other acoustics-related software available, both commercially and open-source. The GUI called MAP is described and several test cases are presented. Matlab [10], Sage A 2D nonlinear wave propagation solver written in open-source MATLAB code. eBooks are not available via an individual subscription. Omed Gh. This program was created to help distinguish among various types of lithospheric structure given the uneven distribution of sources and receivers commonly utilized in passive source BeamLab’s Beam Propagation Toolbox implements the so-called Beam Propagation Method (BPM) in your familiar MATLAB ® environment. The codes of subprograms in C, which simulate the X-rays wave propagation through berillium lenses and air. 11. Any multi-mixed-path surface wave propagation A propagating wave of given frequency (in Hz) is incident on an interface between two acoustic media, with varying propagation velocities. Yee, born 1934) is a numerical analysis technique used for modeling computational electrodynamics (finding approximate solutions to the associated system of differential equations). In both cases the result is an encapsulation of a set of knowledge that has well deﬁned inputs and outputs and is believed to be proved correct, and that applies in many situations. Abstract: We describe a MATLAB implementation of a 2D wave solver capable of simulating the linear and nonlinear propagation of ultrasonic waves through an attenuating medium modeled as a 2D spatial grid, the acoustic properties of which can be arbitrarily assigned at each node. The book discusses digital Fourier transforms (FT), FT-based operations, multiple methods of wave-optics simulations, sampling requirements, and simulations in atmospheric turbulence. Two-Dimensional Solutions in Cartesian Comparing geometrical and wave optical algorithms of a novel propagation code applied to the VLTI Rainer Wilhelm ¶ European Southern Observatory (ESO), Garching b. Acoustic propagation, Transient waves, Transfer function, Linear systems theory aq/aq cc:9116 06/03/99 MATLABR-Based Electromagnetics is a self-contained textbook that can be used either as a sup- plement to any available electromagnetics text (e. Pages 472 pages . Introduction The propagation of a mechanical vibration on the surface of a solid (a surface acoustic wave or SAW) was described in the 19th century by Lord Rayleigh. Create scripts with code, output, and formatted text in a single executable The main problem in the above code is the the light is not confined in the core region. • Command window: provide interaction to enter data, programs and commands are executed and to display a results. The following Matlab project contains the source code and Matlab examples used for visualizing wave propagation. Learn more about wave propagation code. hmm i guess too long for anyone to read fully. m and layeryehTE. By Carmine Vittoria. Acoustic propagation, Transient waves, Transfer function, Linear systems theory aq/aq cc:9116 06/03/99 The output looks pretty much the same as in the other answers, but I generate the wave from a discrete list of points at which the amplitude is calculated. com FREE SHIPPING on qualified ordersAll, I am late to this particular party, but I too was having lots of errors when attempting to run this code in matlab. Create scripts with code, output, and formatted text in a single executable document. Visualize wave propagation through media with different impedances and from testing and studying the code again, using R2013b. The MCMCSTAT Matlab package contains a set of Matlab functions for some Bayesian analyses of mathematical models by Markov chain Monte Carlo simulation. MATLAB Simulink Simulation Platform for Photonic Transmission Systems ABSTRACT High speed and ultra-high capacity optical communications have emerged as the essential techniques for backbone global information transmission networks. This Magnetics, dielectrics, and wave propagation with MATLAB codes / Summary: Describes wave propagation in magneto-dielectric materials. This is reﬂected in the MATLAB m-ﬁles that calculate the ﬁelds (provided in the appendix). PERFORMING Naval Postgraduate School ORGANIZATION REPORT NUMBER Monterey, CA 93943-5000 9. Effects and applications of nonlinearity in medical ultrasound are explained and illus-trated thoroughly in Duck’s review article on the subject [4]. , Physics and Informatics, Comenius University, Bratislava, SlovakiammTrace: Ray-Tracing based Millimeter Wave Propagation Simulation. The incident angle is measured from the vertical, running from 0 to 90 degrees. 7. Ground Wave Propagation: Attenuation characteristics for ground wave propagation – Calculation of field strength at a distance. Wentworth, Auburn University Appendix. 2-D Propagation code similar to parabolic wave codes but with complete boundary conditions for irregular surfaces. Learn more about em wave propagation 3-dwave propagation grape code. This MATLAB functionreturns the path loss of radio wave propagation at the receiver site from the transmitter site. It reduces pseudo code of the evaluation algorithm is thus: 1 The following Matlab project contains the source code and Matlab examples used for wave propagation. The coding style reflects something of a compromise between efficiency on the one hand, and brevity and intelligibility on the other. Wave Propagation is a natural phenomenon that is important in many physical systems. Learn more about em wave propagation 3-d wave propagation grape code. Based on the Rayleigh-Sommerfeld diffraction integral and the scalar Wave Propagation Method (WPM), the Vector Wave Propagation Method (VWPM) is introduced in the thesis. wave propagation grape code. This program is necessary to calculate of X-rays wave focusing by X-ray microscope. 0 (429 KB) by Salaheddin Hosseinzadeh. See: http://people. We describe a MATLAB implementation of a 2D wave solver capable of simulating the linear and nonlinear propagation of ultrasonic waves through an attenuating medium modeled as a 2D spatial grid Modelling Elastic Wave Propagation Using the k-Wave MATLAB Toolbox Bradley E. 1 INTRODUCTION The phase and amplitude of light propagating from cylindrical surface varies in space (with time) in an entirely diﬀerent fashion compared to You are now following this Submission. , [1]–[17] in the Bibliography) or as an inde- pendent resource. Codes for Acoustic Propagation . Some classical imaging problems such as diffraction from a rectangular aperture, Talbot imaging, focal Matlab program ray. It models an initial drop of water at several different positions and the resulting ripples in a body of water. The MATLAB code can be found in Appendix A under wave. This ZIP file contains function that provide simulation of the following models: - Free space loss calculation - Reflection quantization in generic surfaces for vertical and horizontal polarizations - Plane Earth loss calculations, and - Calculation of the Divergence factor in Because destiny microwave, magnetic resonance, and wave propagation structures will contain miniature units, nanosize constructions, multifunctional purposes, and composites of assorted different types of fabrics, their improvement calls for noticeably multidisciplinary collaborations. A primary research thrust is the advancement of MIMO (multiple-input multiple-output) communication technology including space-time coding, efficient receiver algorithms, channel quantization, synchronization, scheduling algorithms, cross-layer design for MIMO ad hoc dielectrics, and wave propagation with matlab codes. Uniform plane waves in lossless media, monochromatic waves, wave impedance, polarization, waves in lossy media, waves in weakly lossy dielectrics, propagation in good conductors, propagation in oblique directions, complex waves, propagation in negative-index media, Doppler effect. This is a page to download code for calculating acoustic modes used for simulating acoustic propagation over long ranges in deep water. the 2 components of elastic wave propagation at kt= 270, nt= 300 modeled withMagnetics, Dielectrics, and Wave Propagation with MATLAB Codes. How can I fix this code so I could to plot a 1D Learn more about 1d wave equation Appendix B. Electromagnetic waves -- Mathematical models. SPONSORING I …An efficient Matlab script to calculate heterogeneous anisotropically elastic wave propagation in three dimensions The code was written for teleseismic wave propagation in the 1–0. Magnetics, dielectrics, and wave propagation with MATLAB codes / Summary: Describes wave propagation in magneto-dielectric materials. allows, we shall also look at some of the more abstract aspects of wave propagation having to do with causality and signal propagation. Magnetics, Dielectrics, and Wave Propagation with MATLAB® Codes - CRC Press Book Because future microwave, magnetic resonance, and wave propagation systems will involve miniature devices, nanosize structures, multifunctional applications, and composites of various types of materials, their development requires distinctly multidisciplinary Plotting wave equation. Manolas; D. Nov 14, 2011 for long time wave propagation. 1 Plane Waves in Uniform Linear Isotropic Non-conducting Media 1. 4 Wave propagation pattern as well as convergence regions of about 70(km) Fig. I wrote structure linear elements code with MATLAB and then compare results with ansys. The k-Wave toolbox is a powerful tool for general acoustic modelling. Gialamas D. What will be the equation of the Spherical wave which originates from there? Solution to the 2-D Wave Equation using finite difference method (Matlab). The accuracy of the k-Wave model is dependent on several parameters. It builds on the Monopole Point Source In A Homogeneous Propagation Medium and Simulating Transducer Field Patterns examples. The BPM is a popular simulation technique for evaluating the evolution of optical fields in waveguides, photonic devices, and in free space. A. Structural dynamics, wave propagation, time integration schemes? I have made a matlab code for wave propagation the problem is as follows: You can check some implementations on the web Home > eBooks > Numerical Simulation of Optical Wave Propagation with Examples in MATLAB > Appendix B: MATLAB Code Listings Access to eBooks is limited to institutions that have purchased or currently subscribe to the SPIE eBooks program. The wave propagation is based on the first-order acoustic wave equation in stress-velocity formulation (e. New seismic modelling facilities in Matlab is a very flexible facility that can model acoustic wave propagation in heterogeneous, The same single line of code 3D wave propagation codes for a hierarchy of test problems, ranging from simple point-source problems in canonical earth structures (e. STANDING WAVE DIAGRAM (PART 2: Matlab exercises) behindthesciences In addition to the wave plot, after running the Matlab code, we can see the following data in the Matlab prompt: In our next post for the Microwaves Propagation section, we will analyse the …Finite difference modelling of the full acoustic wave equation in Matlab Hugh D. The following Matlab project contains the source code and Matlab examples used for 1d wave propagation a finite difference approach. In transmission, a radio transmitter supplies an electric current to the antenna's terminals, and the antenna radiates the energy from the current as electromagnetic waves (radio waves). Ask Question 2. With clear and simple coverage on everything from first principles to calculation tools, Magnetics, Dielectrics, and Wave Propagation with MATLAB Codes revisits the fundamentals that govern the phenomenon of magnetic resonance and wave propagation in magneto-dielectric materials. Loading Unsubscribe from jgc9999? P-SV elastic wave propagation with second derivative of …. wave propagation grape code. The training is done using the Backpropagation algorithm with options for Resilient Gradient Descent, Momentum Backpropagation, and Learning Rate Decrease. 2 · November 2000 with 556 ReadsIntro: Plane Wave propagation in Lossy medium analysis using MATLAB. Treeby ⇤†, Jiri Jaros‡, Daniel Rohrbach§, and B. Single-file codes in MATLAB for 2D and 3D acoustic and elastic wave propagation in time domain using finite-differences(FDTD). The code was written for teleseismic wave propagation in the 1–0. In this band of frequencies, between 10 KHz and 30 MHz, the main propagation method is Surface Wave or Ground-Wave Propagation. A review table of the SCEC wave propagation test models is given in Table 1. Interference of two neighboring modes can A Matlab-Based Virtual Propagation Tool: Surface Wave Mixed-path Calculator L. The CFL condition is satisfied. Mathlab y Mathematica & Algoritmos Projects for €30 - €250. AC 2012-3243: MATLAB DEMONSTRATION OF TRANSMISSION LINE PHENOMENA IN ELECTROMAGNETICS Dr. Using finite difference method, a propagating 1D wave is modeled. The trick then is to make a Polygon out of each half wave. The specific package here is implemented in matlab as developed by Matt Dzieciuch. Designed primarily for undergraduate electromagnetics, it can also be used in follow-up courses on antennas, propagation, microwaves, advanced electromagnetic theory, computational This Matlab code with the finite element method based Partial Differential Equation Toolbox calculates and simulates the electromagnetic field, when a scatterer (copper) object is cloaked with transformation optics designed metamaterial. Code should be able to generate synthetic seismograms a Development of a MATLAB code based on a weak formulation of wave propagation through a porous T. In the following, we willRAM Parabolic Equation Code, Matlab Style . Schmidt. A primary research thrust is the advancement of MIMO (multiple-input multiple-output) communication technology including space-time coding, efficient receiver algorithms, channel quantization, synchronization, scheduling algorithms, cross-layer design for MIMO ad hoc STANDING WAVE DIAGRAM (PART 2: Matlab exercises) behindthesciences In addition to the wave plot, after running the Matlab code, we can see the following data in the Matlab prompt: In our next post for the Microwaves Propagation section, we will analyse the …Structural dynamics, wave propagation, time integration schemes? I have made a matlab code for wave propagation the problem is as follows: You can check some implementations on the web MATLAB-based Wave Propagation and Adaptive Optics Simulation - jlcodona/AOSim2. Purpose. Simulink of pulse code modulation or pcm is done by matlab programming A radio propagation model, also known as the Radio Wave Propagation Model or the Radio Frequency Propagation Model, is an empirical mathematical formulation for the characterization of radio wave propagation as a function of frequency, distance and other conditions. Can't understand a simple wave equation matlab code. Jul 05, 2008 · hmm i guess too long for anyone to read fully. What will be the equation of the Spherical wave which originates from there? The accuracy of the k-Wave model is dependent on several parameters. version 20. Magnetics -- Mathematics. The book discusses digital Fourier transforms (FT), FT-based MATLAB Implementation of a Fourier Approach to Optical Wave Propagation 6. As simple formulation and implementation as possible. Magnetics, dielectrics, and wave propagation with matlab , anticipating that many students lack specialized training in magnetism A 2D nonlinear wave propagation solver written in open-source MATLAB code Conference Paper in Proceedings of the IEEE Ultrasonics Symposium 2:1351 - 1354 vol. 77 CHAPTER 3 CYLINDRICAL WAVE PROPAGATION 3. I do remember however, Jul 4, 2012 I'm looking for a code to simulate the elastic wave propagation in an rod or plate or frame, 1D Wave Propagation: A finite difference approach. What explains the unusual pattern of the R1, R2 and R3 phases across the record section? (That is, what are the surface wave propagation paths for R1, R2 and R3 that explain this pattern?). MATLAB-based Wave Propagation and Adaptive Optics Simulation The best part is due to my software design that makes MATLAB code look like operator mathematics. Treebyy, Jiri Jarosz, Daniel Rohrbachx, and B. A primary research thrust is the advancement of MIMO (multiple-input multiple-output) communication technology including space-time coding, efficient receiver algorithms, channel quantization, synchronization, scheduling algorithms, cross-layer design for MIMO ad hoc Magnetics, Dielectrics, and Wave Propagation with MATLAB Codes Anticipating that many students lack specialized training in magnetism and magnetics, Magnetics, Dielectrics, and Wave Propagation with MATLAB Codes avoids application-specific descriptions. Matlab and Mathematica Projects for $250 -$750. 4, wave propagation pattern from PE method is depicted. SPONSORING I …Wave Propagation in Dielectric Slab Waveguide with two Different Cladding Materials. grating optical planar waveguide matlab code base line correction matlab code 644111 matlab code for implementation and application of dispersion based november 6th, Wave Propagation In Dielectric Slab Waveguide With Two . 1 Hz frequency range but is of general utility and can be used at all scales of space and time. uk/trefethe %2nd-order wave eq. Responsibility Jason D. Abstract: We describe a MATLAB implementation of a 2D wave solver capable of Computation, simulation, and animation is performed using Matlab, from the following Feb 13, 2016 This video shows propagation of non-polarized waves in 2D emitted by phased source array. BeamLab’s Beam Propagation Toolbox implements the so-called Beam Propagation Method (BPM) in your familiar MATLAB ® environment. ox. Calculating Acoustic Modes in Matlab . The music playing in the background is Ameno by Sep 1, 1993 Code for the MATLAB implementation is provided. EM wave propagation lossy media 3D matlab code. "A ray-tracing method for modeling indoor wave propagation and penetration," Antennas and Propagation, IEEE Transactions on, vol. pdfSep 1, 1993 Code for the MATLAB implementation is provided. that suggests really expert methods usually are not enough to fulfill requirements. First Published 3 September 2012 . Uluı¸sık Do˘gu¸s University, Turkey Abstract—A new Matlab-Based, user-friendly virtual propagation tool (VPT) that can be used for multi-mixed path surface wave path loss calculations has been designed. The magnitude squared of the electric field as it propagates inside the metamaterial structure with same parameters as in Figure 5. , 2011. There are features available for modeling optical systems, such as domain polarization, which is useful for nonlinear wave propagation. The package has a sequence of 6 models that have both a transient pulse excitation as well as a sine wave excitation. mmTrace is a deterministic image-based ray-tracing simulation framework for mm-wave propagation developed in MATLAB. Section II of this paper explains the Matlab modeling of the wave propagation through an infinite space of 2-D coordinates. Mar 29, 2017 This code solves the 2D Wave Equation on a square plate by finite differences method 1D Wave Propagation: A finite difference approach. EM wave propagation lossy media 3D matlab code. A three-step approach is adopted in this study. The Marmousi dataset (Versteeg and Grau, 1991) was created using a second-orderComparison of Numerical Methods for Seismic Wave Propagation and Source Dynamics - the SPICE Code Validation Peter MOCZO 1,2, Jean Paul AMPUERO 3, Jozef KRISTEK 1,2, Steven M. 1 Introduction In this technical report we will describe some of the numerical codes written in Matlab [10], Sage [12] and Maple [9] while working on multiscale wave propaga-tion problems, [2, 5, 6, 4]. This ZIP file contains function that provide simulation of the following models: - Free space loss calculation - Reflection quantization in generic surfaces for vertical and horizontal polarizations Electromagnetic Wave Polarization. It supports the design of mm-wave specific protocols and, in contrast to common statistical models, deals with multiple transceivers. Matlab [10], Sage A 2D nonlinear wave propagation solver written in open-source MATLAB code. Be the first. I do remember however, Jul 4, 2012 I'm looking for a code to simulate the elastic wave propagation in an rod or plate or frame, 1D Wave Propagation: A finite difference approach. Other hints for using this code and benchmarks can also be found here. All can be viewed as prototypes for physical modeling sound synthesis. Imprint Appendix B. Similar Items. The Wave Optics Module includes a specialized beam envelope method that can be used to simulate optically large devices with far fewer computational resources than traditional methods. Code for the MATLAB implementation is provided. eBook Published 3 September 2010 . m for use on Problem Set 6 with ionospheric profile ; Matlab program for the Hata Urban Propagation Model ; Matlab program for the Lee Urban Propagation model ; Matlab function to compute the Rician power cdf (8. How can I fix this code so I could to plot a 1D Learn more about 1d wave equation AOSim2: MATLAB-based paraxial wave optics, random media, and Adaptive Optics (AO) simulation. Geiger and Pat F. 5 volts. We are currently using the Marmousi dataset to test prestack shot-record depth-migration imaging algorithms based on recursive Kirchhoff numerical simulations of wave propagation, has scarcely been used for magnetized plasmas, due to speciﬁcities of this gyrotropic material. This book would be a great supplement to a undergraduate or graduate course in linear systems, Fourier optics, wave optics, etc. A primary research thrust is the advancement of MIMO (multiple-input multiple-output) communication technology including space-time coding, efficient receiver algorithms, channel quantization, synchronization, scheduling algorithms, cross-layer design for MIMO ad hoc Modelling Elastic Wave Propagation Using the k-Wave MATLAB Toolbox Bradley E. Spectral methods for wave propagation in Matlab. wave propagation matlab code MLP Neural Network with Backpropagation [MATLAB Code] This is an implementation for Multilayer Perceptron (MLP) Feed Forward Fully Connected Neural Network with a Sigmoid activation function. INTRODUCTION Manning (2007) has written a collection of modules in MATLAB that models elastic wave propagation through 2D heterogeneous isotropic media. k-Wave is an open source MATLAB toolbox designed for the time-domain simulation of propagating acoustic waves in 1D, 2D, or 3D [1]. The function of the pressure amplitude is 1/r where r is the distance from the source. The object of this WaveMat. It provides a full vectorial and three-dimensional treatment of electromagnetic ﬁelds over the full range of spatial frequen-cies. This ZIP file contains function that provide simulation of the following models: - Free space loss calculation - Reflection quantization in generic surfaces for vertical and horizontal polarizations - Plane Earth loss calculations, and - Calculation of the Divergence factor in 2D wave equation with randomly distributed excitation points as the array. The toolbox has a wide range The MATLAB functions are provided, but students should be familiar with basic MATLAB and with function syntax. The following Matlab project contains the source code and Matlab examples used for finite differences beam propagation method in 3 d. Features. Publisher's Summary Numerical Simulation of Optical Wave Propagation is solely dedicated to wave-optics simulations. A one dimensional FDTD matlab code is constructed and used to evaluate some benchmark problems. The calculation is based on numerical solution of equation for a complex phase of the wave. Project: Elastic wave propagation in 2-D using a staggered grid method The goal is to write a Matlab code that implements a rst order time, second order space accurate, staggered grid, nite di erence approach to solving the elastic wave equation for a perfectly elastic, isotropic medium in a velocitystress formulation. The code was written for teleseismic wave propagation The codes of subprograms in C, which simulate the X-rays wave propagation through berillium lenses and air. m for tracing rays in an arbitrary refractive index profile atmosphere ; Matlab program ray. Matlab and Mathematica & Algorithm Projects for €30 - €250. k-Wave A MATLAB toolbox for the time 3D time-domain simulation of wave propagation. A supplemental set of MATLAB code files are available for download. Magnetics, Dielectrics, and Wave Propagation with MATLAB® Codes - CRC Press Book Because future microwave, magnetic resonance, and wave propagation systems will involve miniature devices, nanosize structures, multifunctional applications, and composites of various types of materials, their development requires distinctly multidisciplinary This video shows propagation of non-polarized waves in 2D emitted by phased source array. Critical Angle and Surface Wave. A versatile PML formulation, valid for full dielectric tensors, is summarized and interpreted as wave propagation in an artiﬁcial medium. I have a 2D Shell steel plate (1 centimeter by 1 centimeter) and try to obtain wave speed at any points of plate. You clicked a link that corresponds to this MATLAB command: Run the command by entering it in the MATLAB Command Window. I wrote a short matlab script file that is suppose to run Fresnel's propagation (diffraction), such that given a certain input field U0, it will tell you how the field looks after distance z0. The MATLAB code can be found in Matlab provides various tools to develop efficient algorithm are: • Matlab editor: it provides editing and debugging features as set breakpoint and step through individual line of codes. This code might be useful to you if you are already familiar with Matlab and want to do MCMC analysis using it. 2016): (On reply to the comments with the request for the code) It was long time ago. In the present paper a weighted residual formulation of wave propagation through a porous material for a three‐dimensional case, based on the theoretical formulation of Zwikker and Kosten for sound propagation in porous material, is described. First, in lines 22-23 the current string heights are copied to the past and that future to the current. This example illustrates the diffraction of a plane acoustic wave through a slit. Incidence of p Wave: Parallel-Polarized. P. ContentsA numerical tour of wave propagation Pengliang Yang summarized in this tutorial have been implemented in Madagascar with Matlab, C and CUDA programming, which will bene t readers’ further study. I put the material properties in and used ABAQUS/Explicit analysis. Then, Sod’s shock tube test case is implemented into the numerical code to show the correctness of the code in both ow directions. m . wave. Fawaz Ahmad Hameed Wave Propagation , Dielectric Slab Waveguide , Cladding Materials. We are currently using the Marmousi dataset to test prestack shot-record depth-migration imaging algorithms based on recursive Kirchhoff The output looks pretty much the same as in the other answers, but I generate the wave from a discrete list of points at which the amplitude is calculated. in 2D via FFT The MATLAB demonstration shows an animation of the wave launched on the input section of line. I want to do EM (ELECTROMAGNETIC) wave propagation by Be sure to read the fftshift help entry in MATLAB. This text considers the magnetic state of a magnetic ion, for example, at the atomic scale, and provides a mathematical link to wave The code was written for teleseismic wave propagation in the 1–0. Pub. Magnetics, Dielectrics, and Wave Propagation with MATLAB Codes. MATLAB code listings; References; Index. How can i create a pulse wave with frequency of 3MHz, transmit it via an 128 element line array and how can i create a custom phantom (with scatterers and reflectors-can be lines or circles-) so i can get receive echoes and then try to beamform them. 5 is also the same pattern resulting from designed software package. MATLAB Implementation of a Fourier Approach to Optical Wave Propagation 6. 3D Ray Tracing For Indoor Radio Propagation. Two-Dimensional Problems and Waveguides. Stuart M. Section III summarizes the main features of the developed GUI. Anticipating that many students lack specialized training in magnetism and magnetics, A supplemental set of MATLAB code files are available for download. Carmine Vittoria, Northeastern University. 3. With this method, the mode profile of an unusual waveguides such as y-couplers can be determined with ease. In radio, an antenna is the interface between radio waves propagating through space and electric currents moving in metal conductors, used with a transmitter or receiver. Coming up with a matlab code that can model seismic wave propagation in different media with underlying approach using finite-difference method. Incidence of s Wave: Perpendicular-Polarized. The code is designed to solve coupled ODE's of the form \ M\mathbf{w}(t) + S\mathbf{w}(t) = \mathbf{f}(t) \ where the spatial differenatiation in \S\ is done via Spectral methods. Introduction. Numerical Simulation Of Optical Wave Propagation Is Solely Dedicated To Wave Numerical Simulation Of Optical Wave Propagation With Examples In Matlab Jason; Numerical Simulation Of Optical Wave Propagation With Examples In Matlab A Set Of Matlab Code Files Is Available On A Cd Bound In Examples Videos wave and the period of oscillation of the phase) but travel approximately parallel to the Earth’s surface. MATLAB m-Files 17 wave ﬁeld compared to “reﬂection coefﬁcient” as calculated by complete formulation for a horizontal dipole over homogeneous earth as observed at 1-m height, broadside 1000 m down range Propagation of Electromagnetic Fields Over Flat EarthFeatures. Another important effect caused by ultrasound wave propagation is the so-called cavitation which denotes the behavior of gas bubbles within an acoustic field. This is an important theory in its own right because explorationists often assume that wave propagation in rocks can be approximated by acoustic theory so that they can simplify their data processing algorithms. This activity requires basic understanding of seismic refraction surveys and with the definitions of direct and refracted (head) waves. 907-919, 1998. This text considers the magnetic state of a magnetic ion, for example, at the atomic scale, and provides a mathematical link to wave propagation at the macroscopic scale. The GUI called MATLAB accesses database information, writes input files for …MATLAB-based Wave Propagation and Adaptive Optics Simulation - jlcodona/AOSim2. Consequently, as 1/0 is not defined, the pressure at the Several pieces of code related to rainbow effect in metamaterials have been deposited in the publicly accessible website GeogebraTube. The calculation technique has been implemented in MATLAB and sample cases are presented for the circular and square piston, as well as a Gaussian- and Bessel-weighted spatial excitation. It is found that the numerical solutions are in a good agreement Fig. This tutorial is written for beginners as an introduction to basic wave propagation using nite di erence method, from acoustic and elastic wave modeling, to reverse time migration and full waveform inversion. the code. Solution of 2D wave equation using spectral method (fft) in Matlab. You can see that, compared with the previous figure, the results are improved: Application of wave propagation simulation: Stealthness - "Objects invisible in the eyes of radars" Programming with Matlab: index Using custom subplots Using LaTeX inside plots, titles, legends, … and custom functions for writing labels with Latex Magnetics, Dielectrics, and Wave Propagation with MATLAB® Codes - Kindle edition by Carmine Vittoria. maths. A new application of mimetic fourth-order finite differences coupled to leap-frog time integration to wave propagation phenomena. Often it is called the Norton surface wave from the engineering models he Interference Simulation using Matlab Prepared by Juana Hussein A. 46, pp. Powers 1 September 1993 Approved for public release; distribution unlimited. I need to correct a bug I have in a MATLAB routine that performs phase unwrapping of 2D images in MATLAB. Questions: 1. Download it once and read it on your Kindle device, PC, phones or tablets. This becomes more clear by writing the equation as a first order system \begin{align} u_t &= v \\ v_t &= -k v + c^2 \nabla^2 u \end{align}Features. The following Matlab project contains the source code and Matlab examples used for 2 d propagation code for bounded media. Magnetics, Dielectrics, and Wave Propagation with MATLAB Codes. However, I am trying to model a transverse wave, where the wave oscillates perpendicular to the direction of propagation. but I made this code for relatively large environments, if you want to mesh a whole Can't understand a simple wave equation matlab code. Tsahalis 2000-10-01 00:00:00 In the present paper a weighted residual formulation of wave propagation through a porous material for a three‐dimensional case, based on the theoretical formulation of Zwikker and I have already done a beamforming code and i want to try it. Arbitrary Direction of Propagation. Full text of "a 3D FDTD code for the propagation of EM waves in a media" See other formats Simulation of electromagnetic wave propagation inside and outside a rectangular waveguide Amarabha Banerjee Tata Institute of Fundamental Research (Dated: May 24, 2010) Abstract The problem consists of an electromagnetic wave incident on one of the faces of a rectangular waveguide. . The modes of propagation have been analyzed and all parameters have been given. For electromagnetic waves, the wave function represents the electric field or magnetic field; for sound waves, the wave This video shows propagation of non-polarized waves in 2D emitted by phased source array. In surface wave analysis we deal mainly with superposition of different surface wave modes. 78) Get 10% DISCOUNT when you register and take any of our MATLAB-programming training courses before 15th of MARCH 2018-Cheap and affordable courses for students The wave originates in the source on the right. I want to use MATLAB fft2 function for electromagnetic wave propagation. Abdullah 2008 – 2009 2 Contents Chapter One: Introduction. Tsahalis Introduction Studies of the noise field around and inside commercial aircraft have been conducted in order to reduce cabin noise inside the aircraft. 3D ultrasonic wave propagation in ABAQUS NPS EC-93-014NAVAL POSTGRADUATE SCHOOL Monterey, California AD-A270 905 *?R A D* Y)T ACOUSTIC PROPAGATION MODELING USING MATLAB John P. These are notes on using Collins' RAM PE Code for long range acoustic calculations. g. The following Matlab project contains the source code and Matlab examples used for wave propagation. This program allows the user to generate synthetic seismograms for three-dimensional anisotropic earth structure. Different modes of propagation of surface waves can exist at the same frequency, having different distributions of the particle displacements, different energy and also having different propagation velocities . Most of the theoretical delineations summarized in this tutorial have been implemented in Madagascar with Matlab, k-Wave is an open source, third party, MATLAB toolbox designed for the time-domain simulation of propagating acoustic waves in 1D, 2D, or 3D. Manolas and D


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# 9.3: Fluctuations

“Fluctuations” refers to the random or noisy time evolution of a microscopic subsystem imbedded an actively evolving environment. Randomness is a property of all chemical systems to some degree, but we will focus on an environment that is at or near thermal equilibrium. Systems at thermal equilibrium are macroscopically time-invariant; however, they are microscopically dynamic, with molecules exploring the range of microstates that are thermally accessible. Local variations in energy result in changes in molecular position, orientation, and structure, and are responsible for the activation events that allow chemical equilibria to be established.

If we wish to describe an internal variable $$A$$ for a system at thermal equilibrium, we can obtain the statistics of $$A$$ by performing ensemble averages described above. The resulting averages would be time-invariant. However, if we observe a member of the ensemble as a function of time, $$A_i(t)$$, the behavior is generally is observed to fluctuate randomly. The fluctuations in $$A_i(t)$$ vary about a mean value $$\langle A \rangle$$, sampling thermally accessible values which are described by an equilibrium probability distribution function $$P(A)$$. $$P(A)$$ describes the potential of mean force, the free energy projected as a function of $$A$$:

$F ( A ) = - k _ {B} T \ln P ( A ) \label{8.19}$

Given enough time, we expect that one molecule in a homogeneous medium will be able to sample all available configurations of the system. Moreover, a histogram of the values sampled by one molecule is expected to be equal to $$P(A)$$. Such a system is referred to as ergodic. Specifically, in an ergodic system, it is possible describe the macroscopic properties either by averaging over all possible values for a given member of the ensemble, or by performing an average over the realizations of $$A$$ for the entire ensemble at one point in time. That is, the statistics for $$A$$ can be expressed as a time-average or an ensemble average. For an equilibrium system, the ensemble average is

$\langle A \rangle = \operatorname {Tr} \left( \rho _ {e q} A \right) = \sum _ {n} \frac {e^{- \beta E _ {n}}} {Z} \langle n | A | n \rangle \label{8.20}$

and the time average is $\overline {A} = \lim _ {T \rightarrow \infty} \frac {1} {T} \int _ {0}^{T} d t \, A _ {i} (t) \label{8.21}$

These quantities are equal for an ergodic system:

$\langle A \rangle = \overline {A}$

Equilibrium systems are ergodic. From Equation \ref{8.21}, we see that the term ergodic also carries a dynamical connotation. A system is ergodic if one member of the ensemble has evolved long enough to sample the equilibrium probability distribution. Experimental observations on shorter time scales view a nonequilibrium system.

9.3: Fluctuations is shared under a CC BY-NC-SA 4.0 license and was authored, remixed, and/or curated by Andrei Tokmakoff via source content that was edited to conform to the style and standards of the LibreTexts platform; a detailed edit history is available upon request.

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# Object detection using AWS, Python, and GluonCV

## 2019/12/07

This post briefly describes how I built an object detection model using AWS SageMaker and GluonCV to detect Blue Cross Blue Shield logos. Full code and notebooks can be found in the GitHub repo.

### Collecting and preparing training images

To collect images for training, I searched Google for “bluecross blueshied logo”, “bluecross blueshield letter”, “bluecross blueshield building”, “bluecross blueshield shirt”, “bluecross blueshield event”, “bluecross blueshield shirt”, and “bluecross blueshield bus”. I ended up with 400 images for training and validation.

The raw images were stored in an S3, then I used OpenCV to convert raw images to gray scale. I am not entirely sure how important this step was, but I decided that I was only interesetd in capturing the shape of the logo without respect for color. The gray scale images were put into the S3 bucket.

### Labeling images with bounding box

AWS Ground Truth is a useful service for labeling training data. This article walks through the basic steps to labeling images using Grouth Truth.

### Training

To train the model, I launched a ml.t2.medium SageMaker Notebook instance and connected to a conda_mxnet_p36 kernel. Getting started with MXNet and GluonCV could not have been easier using the fully managed SageMaker notebooks and kernels.

I elected to use the pre-trained weights from a MobileNet SSD network, while replacing the pre-trained output layer with a new output layer that predicts my custom class (BCBS logos). GluonCV includes MobileNet as one of its pre-trained models for object detection, making it very easy to get started with this network. MobileNets are lightweight neural networks for computer vision applications. They have significantly fewer parameters compared to popular models for similar applications, making them more efficient for training and prediction at the cost of minimal reduction in accuracy.

I trained the network using a single GPU instance (ml.p3.2xlarge).

### Evaluation

Different loss functions can be used on a validation set to evaluate object detection models. For this application, I followed the recommendation of GluonCV and monitored the “Smooth L1” loss. This is a simple regression loss that compares the four numbers that make up the ground truth bounding box to the four numbers that make up the predicted bounding box. In my final training job, I obtained a Smooth L1 loss of 0.599 after 19 epochs.

### Deployment

SageMaker makes it easy to deploy models as endpoints with just a few lines of code. In a production setting, this model endpoint could be invoked directly or placed behind an API Gateway.

mxnet_estimator.deploy(
instance_type='ml.m5.xlarge',
initial_instance_count=1,
endpoint_name="bcbs-logo-detection"
)


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## tunnel through the centre

this is supposed to be a very easy one, but i am still putting it up for fun.

suppose a tunnel is dug right through the centre of the earth, from one end to another,( say from north pole to south pole), and then from one end of the tunnel a ball is dropped in it.

what will finally happen to the ball????

keep in mind this is a hypothetical situation, so please post sensibaly.

 PhysOrg.com science news on PhysOrg.com >> Hong Kong launches first electric taxis>> Morocco to harness the wind in energy hunt>> Galaxy's Ring of Fire
 Recognitions: Gold Member it will combust or melt. Assuming we ignore the role of heat, it will hover almost stationary half way down/up/however you care to phrase it.
 Doesn't it just oscillate forever? (with no air resistance)

## tunnel through the centre

IF there is no air resistance it will ossilate forever. It is intresting because it is proven that its period is the same as a satilite orbiting the earth!

Recognitions:
Gold Member
Staff Emeritus
 Quote by ascky Doesn't it just oscillate forever? (with no air resistance)
Yes, it would.

First extra question : How long would it take to travel from one end to the other ?

 Quote by Gokul43201 First extra question : How long would it take to travel from one end to the other ?
I get around 42 minutes

 Recognitions: Gold Member Homework Help Science Advisor 59.75 minutes. The radius of the Earth isn't the semi-major axis. Look at it this way. You start wtih a circular orbit with a semi-major axis that matches the center of the Earth. Start making the orbit more elliptical, but keep apogee at the surface of the Earth. For example. With the center of the Earth still the focus, and an eccentricity of .1, an object would be at 5218.48 at its closest point to the center of the Earth - 6378.14 at its furthest (still at the surface of the Earth). The semi-major axis is reduced to 5798. At .2 - perigee at 4252, apogee at 6378, semi-major axis at 4252 Etc.etc. to eccentricity of .9999 - apogee 6378, perigee 0.03, semi-major axis 3189. The satellite reaches perigee and heads right back to the same point on the surface of the Earth that it started on. Continue increasing eccentricity until, finally, eccentricity is undefined (object headed straight at the center of the Earth). You can use the the extremely high eccentricity of .9999 something and the semi-major axis of 3189 as a pretty good esitmate (the limit). Apogee is the surface of the Earth, perigee is the center of the Earth. The big difference is that with no tangential velocity, the flip side of the orbit (perigee to apogee) is in the same direction as apogee to perigee side of the orbit. In other words, reaching the other side of the Earth (apogee) is the equivalent of completing one 'orbit'. It takes two 'orbits' to reach apogee on the same side of the Earth. There is no way you can have two apogees and no perigee! That also means its period is not the same as an orbiting satellite.
 Recognitions: Gold Member Science Advisor Staff Emeritus Ooh Bob-gee, you lost me there (actually I didn't read the post carefully, after finding your anwer disagree with mine) ! I first got about 85 minutes, then realized that was twice the time...so my number is pretty close to what ascky gets. Now I guess I'll really have to read your post
 Blog Entries: 1 Recognitions: Gold Member BoBG..
 If you assume the earth to be of the same density throughout, the gravity _decreases_, linearly, as you go from the surface to the center. I do not know the proof of this result but I read it somewhere... so you can't treat it as just an ordinary orbit. I'm not sure how to solve it, though, without just using a computer program for an approximation.

 Quote by Gokul43201 Yes, it would. First extra question : How long would it take to travel from one end to the other ?
Solving d2x/dt2 = -k*x , with g=9.81m/s^2 at R_earth=6366km , I've got

42m 10s

 Quote by Bartholomew If you assume the earth to be of the same density throughout, the gravity _decreases_, linearly, as you go from the surface to the center. I do not know the proof of this result but I read it somewhere...
Bartholomew is absolutely right!

Considering g(x) the gravity acceleration at distance 'x' from the center:
g(x) = -G * M_earth/x^2

But , at x < r_earth , the mass outside (x>r) doesn't affect the object, so the "new" mass to be considered is:
M_earth * x^3/r_earth^3

So, the "new" g , if x<r_earth, is:
g(x) = -G * M_earth * x / r_earth^3 , or

finally g(x) = -K*x ,

where K = G*M_earth/r_earth^3 = 9.81/(6366000*s^2)

 Easiest solution is to use the formula for the period of a simple pendulum: $$T = 2\pi\sqrt{\frac{l}{g}}$$ And put l (pendulum length) equal to Earth radius: $$T = 2\pi\sqrt{\frac{6378100}{9.80665}} \approx 5067 seconds = 84 minutes, 27 seconds$$ This is the time taken for the return trip.
 Recognitions: Gold Member Science Advisor Staff Emeritus I don't see any similarity between this problem and that of a pendulum... OTOH, it is like a spring (compare the force of gravity to Hooke's Law)
 The pendulum analogy is perfect given the way this question is normally phrased: "A straight tunnel is driven between two points on the Earth's surface. How long would a train powered by gravity alone, take to traverse the tunnel? Ignore friction and air resistance." Now the reasoning goes like this: 1. The question wouldn't have been asked like that unless the time taken is independent of tunnel length, so if we solve it for one case, we have automatically solved it for all. 2. So that we don't have to worry about decreasing gravity with depth we will consider a very short tunnel, so that it only penetrates a negligible distance below the Earth's surface. 3. So we draw a 'tunnel' one metre long, and work out the accelerating force on the 'train'. This involves a bit of pythagoras, and we see that the force pushing the train towards the centre of the tunnel is proportional to the distance from the tunnel centre (for the very small angles involved). 5. Now, we recognise that this is exactly the same situation as a pendulum bob, with the length of the pendulum equal to the Earth's radius. Bingo! we already know the formula for that! 6. 30 seconds on a calculator later, and we're done!
 Most such tunnels would actually be affected by all sorts of coriolis effects, but I notice that the O.P. specifically used an example that isn't - the tunnel that connects the two poles.

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87/7 is equal to the mixed fraction ______.

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87/7 is equal to the mixed fraction ______.

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87/7 is equal to the mixed fraction 12 3/7


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# Proving that the function $f(x)=\sum_n\frac{1}{10^n}\{10^nx\}$ is everywhere continuous but nowhere differentiable.

Theorem: The function $$f(x)=\sum_{n=1}^{\infty}\frac{1}{10^n}\{10^nx\}$$ is everywhere continuous but nowhere differentiable, where $$\{.\}$$ represents distance from nearest integer.
This theorem has been taken from chapter $$23$$ of Spivak's Calculus book.

By Weirstrauss M test, $$f$$ is uniformly continuous.
In the book, the theorem is proven by showing that the limit $$L=\lim_{m\to \infty}\frac{f(a+h_m)-f(a)}{h_m}=\lim_{m\to \infty}\sum_{n=1}^{\infty}\frac{\{10^n(a+h_m)\}-\{10^na\}}{10^nh_m}$$ does not exist when $$h_m\to 0$$, where $$a\in (0,1]$$. Let $$a=0.a_1a_2\cdots$$

Let $$h_m=10^{-m}$$ if $$a_m\ne 4,9$$ and $$h_m=-10^{-m}$$ if $$a_m=4,9$$.$$\tag{1}$$
No. of terms in summation in the above limit $$L$$ is finite as if $$n\ge m, 10^nh_m$$ is integer and hence numerator of the summations becomes zero. So for $$n\lt m$$, $$\{10^na\}=\text{integer}+0.a_{n+1}a_{n+2}\cdots a_m\cdots$$ and $$10^n \{a+h_m\}=\text{integer}+0.a_{n+1}a_{n+2}\cdots (a_m\pm1)\cdots$$ and this representation into decimals is correct as $$h_m=-10^{-m}$$ if $$m=9$$.
**

Then, Spivak makes a statement that if $$0.a_{n+1}a_{n+2}\cdots a_m\cdots \le 0.5$$, then we also have $$0.a_{n+1}a_{n+2}\cdots (a_m\pm 1)\cdots \le 0.5$$ as $$h_m=-10^{-m}$$ if $$a_m=4$$.

**

And I think that this is not true at all because in the special case $$m=n+1$$, if $$a_m=5$$ then clearly $$0.a_m\le 0.5$$ but $$0.(a_m\pm 1)\le 0.5$$ is not true! and hence condition on $$h_m$$ should be $$h_m=-10^{-m}$$ when $$a_m=5,9$$ and $$h_m=10^{-m}$$ when $$a_m\ne 5,9$$. Is my understanding correct?

Another doubt that I have is:

Is the following alternative way correct?
Let's choose $$h_m=10^{-m}$$ if $$a_m\ne 9$$ and $$h_m=-10^{-m}$$ if $$a_m=9$$. Then it's clear by writing decimal representation that, $$\{10^n(a+h_m)\}-\{10^na\}=\pm 10^{n-m}$$ and then $$L=\lim_{m\to \infty}\frac{f(a+h_m)-f(a)}{h_m}=\lim_{m\to \infty}\sum_{n=1}^{\infty}\frac{\{10^n(a+h_m)\}-\{10^na\}}{10^nh_m}=\lim_{m\to \infty}\sum_{n=1}^{m-1}\frac{\{10^n(a+h_m)\}-\{10^na\}}{10^nh_m}\lim_{m\to \infty}\sum_{n=1}^{m-1}\pm 1=\lim_{m\to \infty}\pm (m-1)$$,
which doesn't exist. Hence proved.

• @OliverDiaz: Even in the book in your link, it's not made clear why $h_m=-10^{-m}$ when $a_m=4$, which I think should have been $a_m=5$. And why do we have to distinguish cases $\lt 1/2$ , $\gt 1/2$? – Koro Sep 16 at 21:46
• Do you agree that with $h_m=-10^{m}$ for $a_m=4,9$ and $h_m=10^{-m}$ things work? All you need is a particular sequence $h_m\rightarrow0$ for which the sum does not converge. notice that there is a choice to make for the decimal expansion of $x$ when $x$ has a a possible finite decimal expansion. – Oliver Diaz Sep 16 at 21:56
• @OliverDiaz: I disagree with $h_m=-10^{-m}$ when $a_m=4$ as it will create problems for $a_m=5$. – Koro Sep 16 at 22:04

This is a comment that is to long for the comment section.

The idea of the construction is to keep preserved fractional parts on the same side of $$\frac{1}{2}$$, that is if $$10^na-[10^na]<\frac{1}{2}$$, then $$10^n(a+h_m)-[10^na]<\frac12$$ and if $$10^na-[10^na]\geq\frac{1}{2}$$, then $$10^n(a+h_m)-[10^na]\geq\frac12$$

Try to convince yourself that

• If $$a_m\notin\{4,9\}$$, then for all $$n=1,\ldots,m-1$$, $$\{10^n(a+10^{-m})\}-\{10^na\}=10^{n-m}\,(-1)^{\mathbb{1}_{a_n<5}(a)}$$ For $$n\geq m$$ $$\{10^n(a+10^{-m})\}=\{0.a_{m+1}a_{m+2}\ldots\}=\{10^na\}$$ so $$\Delta_m:=\frac{1}{10^{-m}}\sum^\infty_{n=1}\frac{\{10^n(a+10^{-m})\}-\{10^na\}}{10^n}\equiv m\mod 2$$

• If $$a_m\in\{4,9\}$$, then for all $$n=1,\ldots,m-1$$, $$\{10^n(a-10^{-m})\}-\{10^na\}=10^{n-m}\,(-1)^{1+\mathbb{1}_{a_n<5}(a)}$$ For $$n\geq m$$ $$\{10^n(a-10^{-m})\}=\{0.a_{m+1}a_{m+2}\ldots\}=\{10^na\}$$ so $$\Delta_m:=-\frac{1}{10^{-m}}\sum^\infty_{n=1}\frac{\{10^n(a-10^{-m})\}-\{10^na\}}{10^n}\equiv m\mod 2$$

If you were to modify the construction and set $$h_m=-10^{-m}$$ if $$a_m\in\{5,9\}$$ and $$h_m=10^{-m}$$ otherwise then, for $$a$$ with $$a_m=4$$ you get

$$\{10^{m-1}(a+10^{m})\}-\{10^{m-1}a\}=1-10^{-m} -2(0.4a_{m+1}\ldots)$$ and so $$\frac{1}{10^m}\sum^\infty_{n=1}\frac{\{10^n(a+10^{-m})\}-\{10^na\}}{10^n}\notin\mathbb{Z}$$

The genius of the construction is to keep all differential increments $$\Delta_m$$ as integers that vary on the parity of $$m$$.

• In "that is if $10^na-[10^na]<\frac{1}{2}$, then $10^n(a+h_m)-[10^na]<\frac12$", did you mean $10^n(a+h_m)-[10^n(a+h_m)]<\frac12$? I suppose $[.]$ is greatest integer function. – Koro Sep 17 at 5:45
• No, I wrote what I meant. The construction maintains which side of of 1/2 the fractional part is. – Oliver Diaz Sep 17 at 14:09
• @Koro: In the construction, the only crucial setp is when $a_m=4$ and $n=m-1$. then $\{10^{m-1}(0.a_1\ldots a_{m-1}(4-1)a_{m+1}\ldots\}-\{10^{m-1}(0.a_1\ldots a_{m-1}4a_{m+1}\ldots\}=-0.1$ – Oliver Diaz Sep 17 at 14:59


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# Solutions to cross product, a x u = b

1. Apr 8, 2013

### xtrap0lation

Studying outer product spaces at the moment and thought I'd quickly recap on the cross product when I stumbled across this problem which has me fairly stumped!

If a,b∈R^3 with a≠0 show that the equation a x u = b has a solution if and only if a.b = 0 and fi nd all the solutions in this case.

-((a x b)/|a|^2) + λ a , where λ is a real parameter.

The first part is trivial, but I have no idea how to get to the solution set. Could anybody shed any light on this matter? I would be very grateful.

2. Apr 8, 2013

### Staff: Mentor

Can you show that a x [solutions] = b (for all λ)? Can you show that the set of solutions is one-dimensional?
It is possible to derive the answer if you work out the individual components of the equation.

3. Apr 10, 2013

### the_wolfman

First take the cross product of the equation with a:
$a \times (a \times u = b)$

The vector triple product gives

$(a \cdot u) a -a^2 u = a \times b$

With a little algebra you can then get

$u =-\frac{ a \times b}{a^2} + \frac{a\cdot u}{a^2} a$


text: This question arises from an application to graphical models in probability theory, but I have abstracted that part out so only algebra remains. Let $\mathbb{R}$ denote standard field of real numbers and $\mathcal{R} = (\mathbb{R}\cup\{\infty\},\min,+)$ the tropical semiring. Let $\mathbb{Z}_n$ denote the cyclic group of order $n$.


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# Brookhaven launches electron-ion collider

21 September 2020

On 18 September, Brookhaven National Laboratory (BNL) officially launched the Electron-Ion Collider (EIC) — a 3.9 km-circumference collider which, once completed, will open new vistas on the properties and dynamics of quarks and gluons. The event saw elected officials from the states of New York and Virginia, in addition to senior academic representatives from BNL and beyond, voice their support for the $1.7-2.7 billion EIC, which will be built at BNL over the next decade and require the lab’s Relativistic Heavy-Ion Collider (RHIC) to be reconfigured to include a new electron storage ring to facilitate electron–ion collisions. This project is a win-win both for scientific development and the New York economy Andrew Cuomo “COVID-19 has shown us how critically important it is to invest in our scientific infrastructure so we’re ready for future crises, and New York is already investing significant resources to make it a hub for scientific innovation and research,” said New York State Governor Andrew Cuomo. “The state’s$100 million investment in [the EIC] is part and parcel with that commitment, and this project is a win-win both for scientific development and the New York economy.”

The design, construction and operation of the EIC will be completed in partnership with the Thomas Jefferson National Accelerator Facility (Jefferson Laboratory). In June, BNL appointed Jim Yeck — who has held leading roles in RHIC, the IceCube neutrino observatory and the European Spallation Source — as the project director for the EIC. Yeck will head a newly created EIC directorate at BNL, working in partnership with Jefferson Laboratory and other collaborators.

“The Electron-Ion Collider, a one of a kind facility in nuclear research, is becoming a reality, and I can tell you that this news was received with great enthusiasm and excitement by the European nuclear and particle-physics communities,” said CERN Director-General Fabiola Gianotti in a video message.


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a magnetic needle free to rotate in a vertical plane, orients itself vertically at a certain place on earth. what are the values of horizontal component of earth's mag field and angle of dip at that place?

At the two magnetic poles, the magnetic needle rests vertically.
Hence, at poles,
As, Horizontal component, H= R cos
And at a place on the magnetic poles, earth's magnetic field is perpendicular to the surface of earth, i.e., vertical.
Therefore, angle of dip ($\delta$) = 900
The angle that a magnetic needle makes with the horizontal plane at any specific location is dip angle.

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As B=Bv=Bsin(dip),

Angle of dip = 900and horizontal component is zero.

The place is pole...

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