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A Fast Computation Technique on the Method of Image Green's Function by a Spectral Domain Periodicity
IEICE TRANSACTIONS on Electronics
Publication Date: 2018/01/01
Online ISSN: 1745-1353
Type of Manuscript: PAPER
Category: Electromagnetic Theory
fast computation technique, method of image Green's function, periodic image Green's function, perfectly conductive periodic surface, scattering and diffraction,
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This paper newly proposes a fast computation technique on the method of image Green's function for p-characteristic calculations, when a plane wave with the transverse wavenumber p is incident on a periodic rough surface having perfect conductivity. In the computation of p-characteristics, based on a spectral domain periodicity of the periodic image Green's function, the image integral equation for a given incidence p maintains the same form for other particular incidences except for the excitation term. By means of a quadrature method, such image integral equations lead to matrix equations. Once the first given matrix equation is performed by a solution procedure as calculations of its matrix elements and its inverse matrix, the other matrix equations for other particular incidences no longer need such a solution procedure. Thus, the total CPU time for the computation of p-characteristics is largely reduced in complex shaped surface cases, huge roughness cases or large period cases.