MODIFIED COMBINED FIELD INTEGRAL EQUATIONS FOR ELECTROMAGNETIC SCATTERING

The boundary integral formulation of exterior boundary value problems for the Maxwell system may not be equivalent to the original uniquely solvable problem if the wave number corresponds to an eigenvalue of an associated interior eigenvalue problem. To avoid these spurious modes one may use a combi...

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Bibliographic Details
Published in:SIAM journal on numerical analysis 2009-01, Vol.47 (2), p.1149-1167
Main Authors: STEINBACH, O., WINDISCH, M.
Format: Article
Language:English
Subjects:
Acoustics
Boundaries
Boundary element method
Boundary value problems
Computational mathematics
Curl
Differential equations
Eigenvalues
Electromagnetic scattering
Electromagnetism
Equivalence
Integral equations
Integrals
Mathematical analysis
Mathematical functions
Maxwell equations
Radiation
Solvability
Wavelengths
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Summary:The boundary integral formulation of exterior boundary value problems for the Maxwell system may not be equivalent to the original uniquely solvable problem if the wave number corresponds to an eigenvalue of an associated interior eigenvalue problem. To avoid these spurious modes one may use a combined boundary integral approach. To analyze the resulting boundary integral equations in the energy function spaces suitable regularizations have to be introduced. Here we formulate and analyze a modified boundary integral equation which is based on the use of standard boundary integral operators only. A first numerical example shows the applicability of the proposed approach.
ISSN:0036-1429
1095-7170
DOI:10.1137/070698063