On a Scattering Field Expression by Dielectric Diffraction Gratings Using Shadow Theory

Hideaki WAKABAYASHI  Masamitsu ASAI  Keiji MATSUMOTO  Jiro YAMAKITA  

Publication
C - Abstracts of IEICE TRANSACTIONS on Electronics (Japanese Edition)   Vol.J93-C   No.3   pp.81-90
Publication Date: 2010/03/01
Online ISSN: 1881-0217
DOI: 
Print ISSN: 1345-2827
Type of Manuscript: PAPER
Category: 
Keyword: 
periodic structure,  dielectric grating,  shadow theory,  scattering factor,  matrix eigenvalue problem,  

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Summary: 
In this paper, the "Shadow theory" is applied to the analyses of dielectric diffraction gratings to demonstrate the availability of the theory in such types of structures. A formulation based on the matrix eigenvalue is proposed to get a representation of diffraction amplitude at a low grazing limit of incidence. It is illustrated that the scattering factors (SF) defined in the theory correspond to the Green functions in the spectral domain from the electric or magnetic current sources.