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research article
Analytical shape derivatives of the MFIE system matrix discretized with RWG functions
An analytical formula for the shape derivative of the magnetic field integral equation (MFIE) method of moments (MoM) system matrix (or impedance matrix) is derived and validated against finite difference formulas. The motivation for computing the shape derivatives stems from adjoint variable methods (AVM). The Galerkin system matrix is constructed by means of Rao-Wilton-Glisson (RWG) basis and testing functions. The shape derivative formula yields an integral representation which is of same singularity order as the integrals appearing in the traditional MFIE system matrix.
Type
research article
Web of Science ID
WOS:000314681200061
Authors
Publication date
2013
Published in
Volume
61
Issue
2
Start page
985
End page
988
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
June 13, 2012
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