Wave Scattering and Diffraction from a Finite Periodic Surface: Diffraction Order and Diffraction Beam

Junichi NAKAYAMA  Hayato TSUJI  

Publication
IEICE TRANSACTIONS on Electronics   Vol.E85-C   No.10   pp.1808-1813
Publication Date: 2002/10/01
Online ISSN: 
DOI: 
Print ISSN: 0916-8516
Type of Manuscript: PAPER
Category: Electromagnetic Theory
Keyword: 
wave scattering,  finite periodic surface,  diffraction beam,  sampling theorem,  

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Summary: 
This paper deals with a mathematical formulation of the scattering from a periodic surface with finite extent. In a previous paper the scattered wave was shown to be represented by an extended Floquet form by use of the periodic nature of the surface. This paper gives a new interpretation of the extended Floquet form, which is understood as a sum of diffraction beams with diffraction orders. Then, the power flow of each diffraction beam and the relative power of diffraction are introduced. Next, on the basis of a physical assumption such that the wave scattering takes place only from the corrugated part of the surface, the amplitude functions are represented by the sampling theorem with unknown sample sequence. From the Dirichlet boundary condition, an equation for the sample sequence is derived and solved numerically to calculate the scattering cross section and optical theorem. Discussions are given on a hypothesis such that the relative power of diffracted beam becomes almost independent of the width of surface corrugation.