NDLI: Integral equation formulation for iterative calculation of scattering from lossy rough surfaces

Content Provider	IEEE Xplore Digital Library
Author	West, J.C.
Copyright Year	1980
Abstract	The dependence of the convergence properties of iterative solution algorithms on the specific integral equation formulation that is discretized to describe the electromagnetic scattering from one-dimensional (1-D) rough, high loss surfaces is examined. A magnetic field integral equation (MFIE) formulated using impedance boundary conditions typically used to describe vertically polarized (VV) scattering from large-conductivity, single-valued open surfaces yields well-conditioned interaction matrices that lead to quick convergence. The corresponding electric field integral equation (EFIE) typically used for horizontal polarization (HH) (found from duality) results in much poorer conditioning, with correspondingly slower convergence. An impedance-boundary condition magnetic field integral equation (MFIE) valid at horizontal polarization is formulated that leads to convergence nearly as rapid that observed with the vertical polarization MFIE. Numerical integration of some off-diagonal terms is required to prevent a strong singularity in the HH MFIE from introducing errors in the calculated far-field scattering. A simple example also shows that the EFIE and MFIE for the same polarization can be linearly combined to improve the convergence characteristics with lossy closed-body problems, analogous to the combined field integral equation (CFIE) perfectly conducting case.
Sponsorship	IEEE Geoscience and Remote Sensing Society IEEE URSI
Starting Page	1609
Ending Page	1615
Page Count	7
File Size	118761
File Format	PDF
ISSN	01962892
Volume Number	38
Issue Number	4
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2000-07-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Integral equations Convergence Polarization Electromagnetic scattering Rough surfaces Surface roughness Magnetic fields Surface impedance Iterative algorithms Boundary conditions
Content Type	Text
Resource Type	Article
Subject	Earth and Planetary Sciences Electrical and Electronic Engineering

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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