2D Electromagnetic Wave Scattering Problem for Cylindrical Cloak Incorporating PEMC-Layer

Abstract:

The 2D scattering problem is studied for the case of a two-dimensional cylindrical invisibility cloak, incorporating a tiny layer of perfect electromagnetic conductor (PEMC). The solution of the corresponding Helmholtz equation with variable coefficients is seeked as cylindrical functions Fourier series. The coefficients of these series are determined by solving the system of four linear algebraic equations with respect to four unknown coefficients with badly-conditioned matrix. The Singular Value Decomposition (SVD) method is applied for solving the system. Based on this idea the efficient numerical method is developed for solving the cloaking problem under study. The properties of this algorithm are studied and some results of numerical experiments are discussed.

• Periodical: Key Engineering Materials (Volume 685)
• Pages: 75-79
• DOI: https://doi.org/10.4028/www.scientific.net/KEM.685.75
• Online since: February 2016
• Authors: Gennady Alekseev, Olga Dyakonova, Alexey Lobanov, Andrey Yu. Fershalov
• Keywords: Invisibility Cloaking, PEMC – Layer, Scattering Problem, Singular Value Decomposition

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