FVTD Analysis of Metallic Grating

Takeaki NODA  Toshiro KANETANI  Kazunori UCHIDA  

Publication
IEICE TRANSACTIONS on Electronics   Vol.E79-C   No.12   pp.1772-1775
Publication Date: 1996/12/25
Online ISSN: 
DOI: 
Print ISSN: 0916-8516
Type of Manuscript: LETTER
Category: Electromagnetic Theory
Keyword: 
FVTD rnethod,  PML ABC's,  arbitrary shaped boundary,  periodic structure,  image field,  

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Summary: 
This paper is concerned with a point-oriented finite volume time domain (FVTD) method in the Cartesian coordinate system for analyzing electromagnetic wave scattering by arbitrary shaped metallic gratings. The perfectly matched layer (PML) is used for the absorbing boundary conditions (ABC's) in the directions corresponding to transmitted and reflected wave regions. An FVTD version of the Floquet's theorm is described to impose the periodic condition in the direction where conducting rods are located periodically. The boundary conditions for a conductor rod which is not well suited to the Cartesian coordinate system are satisfied in an average fashion by introducing image fields at image points. It is shown that the present method gives accurate numerical results. Numerical calculations are also carried out for thick conducting rods which seem difficult to deal with in an analytical way.