Mathematical Derivation of Modified Edge Representation for Reduction of Surface Radiation Integral

Ken-ichi SAKINA  Suomin CUI  Makoto ANDO  

Publication
IEICE TRANSACTIONS on Electronics   Vol.E84-C   No.1   pp.74-83
Publication Date: 2001/01/01
Online ISSN: 
DOI: 
Print ISSN: 0916-8516
Type of Manuscript: PAPER
Category: Electromagnetic Theory
Keyword: 
PO surface integral,  modified edge representation,  reduction of a surface integral,  Stokes' theorem,  

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Summary: 
Modified Edge Representation (MER) empirically proposed by one of the authors is the line integral representation for computing surface radiation integrals of diffraction. It has remarkable accuracy in surface to line integral reduction even for sources very close to the scatterer. It also overcomes false and true singularities in equivalent edge currents. This paper gives the mathematical derivation of MER by using Stokes' theorem; MER is not only asymptotic but also global approximation. It proves remarkable applicability of MER, that is, to smooth curved surface, closely located sources and arbitrary currents which are irrelevant to Maxwell equations.