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Scattering of Electromagnetic Plane Waves by a Grating with Several Strips Arbitrarily Oriented in One Period
Michinari SHIMODA Tokuya ITAKURA
Publication
IEICE TRANSACTIONS on Electronics
Vol.E76C
No.2
pp.326337 Publication Date: 1993/02/25 Online ISSN:
DOI: Print ISSN: 09168516 Type of Manuscript: PAPER Category: Electromagnetic Theory Keyword: scattering problem, strip grating, mutual field, fictitious boundary, WienerHopf equation,
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Summary:
The problem of twodimensional scattering of electromagnetic waves by a grating with several strips arbitrarily oriented in one period is analyzed by means of the WienerHopf technique together with the formulation using the concept of the mutual field. A formulation for the analysis of multiple scattering from the grating is based on the representation of the scattered field by a grating composed of one strip in one period. The WienerHopf equations and a representation of the scattered wave are obtained. The characteristic of the sampling function is used to expand the unknown function associated with the field on the strip into a series, and then the WienerHopf equations are reduced to a set of simultaneous equations. For evaluation of the convergence and the errors in the numerical results, the relative error with respect to the extrapolated value and the square error for satisfaction of the boundary condition are computed. From numerical comparison of the present method with other various methods, it is found that the present method provides us accurate results. Some numerical examples of the reflection coefficients are presented for the reflection grating and transmission gratings.


