Abstract
Iterative procedure is implemented to derive rigorous solution to the problem of plane electromagnetic wave scattering by couple of perfect electromagnetic conducting (PEMC) elliptic cylinders due co and cross polarized scattered fields among cylinders. The translation addition theorem for Mathieu functions is enforced to compute the higher order scattered fields by single PEMC elliptic cylinder in terms of the other elliptic cylinder coordination system to impose the boundary conditions. The kth co and cross polarized scattered field coefficient expressions are extracted by iteration procedure without using matrix inversion.
Highlights
INTRODUCTIONThere are many practical solutions that rely on the scattering by infinite elliptic cylinders such as studying the scattering by irregular cylinder simulated by elliptic cylinders, verifying the numerical and approximate technique solution results
There are many practical solutions that rely on the scattering by infinite elliptic cylinders such as studying the scattering by irregular cylinder simulated by elliptic cylinders, verifying the numerical and approximate technique solution results.Translation addition theorem for Mathieu functions is forced to solve analytically the problem of scattering by a system of perfect electromagnetic conducting (PEMC) elliptic cylinders in order to apply the boundary conditions
Translation addition theorem for Mathieu functions is forced to solve analytically the problem of scattering by a system of PEMC elliptic cylinders in order to apply the boundary conditions
Summary
There are many practical solutions that rely on the scattering by infinite elliptic cylinders such as studying the scattering by irregular cylinder simulated by elliptic cylinders, verifying the numerical and approximate technique solution results. Translation addition theorem for Mathieu functions is forced to solve analytically the problem of scattering by a system of PEMC elliptic cylinders in order to apply the boundary conditions. An iterative procedure is presented to the scattering by couple of PEMC elliptic cylinders. The procedure needs to solve the scattered co/cross polarized fields by each PEMC cylinder as it acts as incoming field on the other cylinder. The second order scattered fields may be obtained by exciting every cylinder by the initial co/ cross polarized scattered fields. We implement in the current paper an iterative procedure for couple of conducting elliptic cylinders to develop the solution for scattering by PEMC elliptic cylinders [3]. Expressions are obtained, without using matrix inversion, for higher order co/cross polarized scattered field coefficients
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