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Electromagnetic scattering from an arbitrarily shaped PEC object coated by spherical dielectric material using equivalence principle algorithm. (English) Zbl 1464.78005

Summary: A new method is presented for the analysis of electromagnetic scattering from arbitrarily shaped PEC object coated by homogeneous spherical dielectric material. The analysis of the internal PEC objects is performed using the equivalence principle algorithm (EPA). First, the scattering operator of EPA is evaluated for the PEC object in terms of RWG basis functions where the background is filled by coating material. Then a translation procedure is introduced to translate scattering operator evaluated in terms of RWG basis functions to a new scattering operator in terms of spherical wave harmonics (SWHs). This new scattering operator relates SWH coefficients of the scattered wave by internal PEC to those of the incident wave. By invoking the boundary conditions on the surface of spherical coating using the mode-matching technique, the coefficients of the scattered wave outside the coating material are evaluated. Since the scattering operator is independent from the coating radius, the problem may be solved by only analysis of boundary conditions on the surface of spherical coating for various values of coating radii without needing to repeat the analysis of internal PEC object. Several numerical examples are investigated to evaluate validity and efficiency of the proposed method.

MSC:

78A45 Diffraction, scattering
78M10 Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs

Software:

scattnlay
Full Text: DOI

References:

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