A Fast Computation Technique on the Method of Image Green's Function by a Spectral Domain Periodicity

Yasuhiko TAMURA  

IEICE TRANSACTIONS on Electronics   Vol.E101-C   No.1   pp.56-64
Publication Date: 2018/01/01
Online ISSN: 1745-1353
DOI: 10.1587/transele.E101.C.56
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.