Wave Scattering from a Periodic Surface with Finite Extent: A Periodic Approach

Junichi NAKAYAMA
Toyofumi MORIYAMA
Jiro YAMAKITA

Publication
IEICE TRANSACTIONS on Electronics   Vol.E84-C    No.8    pp.1111-1113
Publication Date: 2001/08/01
Online ISSN: 
DOI: 
Print ISSN: 0916-8516
Type of Manuscript: LETTER
Category: Electromagnetic Theory
Keyword: 
wave scattering and diffraction,  finite periodic surface,  periodic grating,  

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Summary: 
As a method of analyzing the wave scattering from a finite periodic surface, this paper introduces a periodic approach. The approach first considers the wave diffraction by a periodic surface that is a superposition of surface profiles generated by displacing the finite periodic surface by every integer multiple of the period . It is pointed out that the Floquet solution for such a periodic case becomes an integral representation of the scattered field from the finite periodic surface when the period goes to infinity. A mathematical relation estimating the scattering amplitude for the finite periodic surface from the diffraction amplitude for the periodic surface is proposed. From some numerical examples, it is concluded that the scattering cross section for the finite periodic surface can be well estimated from the diffraction amplitude for a sufficiently large .