INVESTIGATION OF ELECTROMAGNETIC DIFFRACTION BY A DIELECTRIC BODY IN A WAVEGUIDE USING THE METHOD OF VOLUME SINGULAR INTEGRAL EQUATION

The problem of diffraction of an electromagnetic field by a locally nonhomogeneous body in a perfectly conducting waveguide of rectangular cross section is considered. This problem is reduced to solving a volume singular integral equation (VSIE). The examination of this equation is based on the anal...

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Bibliographic Details
Published inSIAM journal on applied mathematics Vol. 70; no. 3; pp. 969 - 983
Main Authors KOBAYASHI, K., SHESTOPALOV, YU, SMIRNOV, YU
Format Journal Article
LanguageEnglish
Published Philadelphia Society for Industrial and Applied Mathematics 01.01.2009
Subjects
Boundary conditions
Boundary value problems
Cross sections
Curl
dielectric body
Dielectric materials
Differential equations
Diffraction
Electric fields
Electromagnetics
Galerkin method
Galerkin methods
Greens function
Integral equations
Matematik
Mathematical analysis
Mathematical functions
Mathematical models
Mathematics
Singular integral equations
Studies
Tensors
Volume singular integral equation
Wave diffraction
waveguide
Waveguides
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Summary:The problem of diffraction of an electromagnetic field by a locally nonhomogeneous body in a perfectly conducting waveguide of rectangular cross section is considered. This problem is reduced to solving a volume singular integral equation (VSIE). The examination of this equation is based on the analysis of the corresponding boundary value problem (BVP) for the system of Maxwell's equations and the equivalence of this BVP and VSIE. The existence and uniqueness for VSIE in the space of square-integrable functions are proved. A numerical Galerkin method for the solution of VSIE is proposed, and its convergence is proved.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
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ISSN:0036-1399
1095-712X
1095-712X
DOI:10.1137/080726306