The Modeling of Screening of Electromagnetic Radiation by Means of Screens of Space Dispersion Material, Containing Spheroidal Particles
A mathematical model describing the propagation of monochromatic electromagnetic waves in a medium with spatial dispersion containing spheroidal particles of the along prescribed direction has been developed. The initial classical integro-differential model for electromagnetic fields in a medium with spatial dispersion is transformed, within the third-order infinitesimal, to the differential model, where the integro-differential Maxwell equations are represented as a system of second-order differential equations. In this case electrical and magnetic polarizations of the medium are given in the Laplace operators. This system of equations is analytically solved; a complete system of four forward and four backward counter-propagating electromagnetic waves is formed. The analytical representation of the fields includes a vector determining the propagation direction of plane waves. Wave numbers of the fields also depend on their propagation directions pointing to anisotropic character of the developed mathematical model. It is developed a method for solving the boundary-value problem of penetration of plane monochromatic electromagnetic fields through the screen made from the material with space dispersion and with spheroidal particles. For the coefficient of the shielding effectiveness graphic material is given.