Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  solve the thin-slit diffraction problem for two-dimensional lattice waves. More precisely, for the discrete Helmholtz equation on the semi-infinite square lattice with data prescribed on the left boundary (the aperture),  use lattice Green's functions and a discrete Sommerfeld outgoing radiation condition to derive the exact solution everywhere in the lattice. The solution is a discrete convolution that can be evaluated in closed form for the wave number k = 2. For other wave numbers,  give a recursive algorithm for computing the convolution kernel.
['Harish S. Bhat', 'Braxton Osting']
I am writing a research paper on a idea DIFFRACTION ON THE TWO-DIMENSIONAL SQUARE LATTICE ∗
[{"from": "human", "value": "I am writing a research paper on a idea DIFFRACTION ON THE TWO-DIMENSIONAL SQUARE LATTICE \u2217"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  solve the thin-slit diffraction problem for two-dimensional lattice waves. More precisely, for the discrete Helmholtz equation on the semi-infinite square lattice with data prescribed on the left boundary (the aperture),  use lattice Green's functions and a discrete Sommerfeld outgoing radiation condition to derive the exact solution everywhere in the lattice. The solution is a discrete convolution that can be evaluated in closed form for the wave number k = 2. For other wave numbers,  give a recursive algorithm for computing the convolution kernel."}]