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Electromagnetic scattering from buried inhomogeneities - a general three-dimensional formalism

Kristensson, Gerhard LU (1980) In Applied Physics Reviews 51(7). p.3486-3500
Abstract
We will in the present paper derive a general three-dimensional formalism for electromagnetic scattering from buried inhomogeneities. We will exploit the transition matrix formalism, originally given by Waterman, to electromagnetic scattering in the presence of an infinite surface and a buried bounded inhomogeneity. The analysis explicitly assumes that the sources are located above the ground, but this restriction can easily be relaxed and a parallel derivation can be made for sources located in the ground or inside the buried obstacle. No explicit symmetry assumptions are made for the bounded inhomogeneity or the interface between the halfspaces, except that the interface be bounded by two parallel planes. The scattered field above the... (More)
We will in the present paper derive a general three-dimensional formalism for electromagnetic scattering from buried inhomogeneities. We will exploit the transition matrix formalism, originally given by Waterman, to electromagnetic scattering in the presence of an infinite surface and a buried bounded inhomogeneity. The analysis explicitly assumes that the sources are located above the ground, but this restriction can easily be relaxed and a parallel derivation can be made for sources located in the ground or inside the buried obstacle. No explicit symmetry assumptions are made for the bounded inhomogeneity or the interface between the halfspaces, except that the interface be bounded by two parallel planes. The scattered field above the ground is calculated in terms of an expansion where the expansion coefficients are solutions of a matrix equation. The expression for the scattered field is separated into a directly scattered term, as if no scatterers were present, and the so called anomalous field, reflecting the presence of the inhomogeneity. We give some numerical examples for a flat interface and an inhomogeneity consisting of one or two buried spheres or a perfectly conducting spheroid. (Less)
Please use this url to cite or link to this publication:
author
publishing date
type
Contribution to journal
publication status
published
subject
in
Applied Physics Reviews
volume
51
issue
7
pages
3486 - 3500
publisher
American Institute of Physics (AIP)
external identifiers
  • scopus:0019033573
ISSN
1931-9401
DOI
10.1063/1.328201
language
English
LU publication?
no
id
8aa389e7-92b1-4dc1-be7b-8ef0f7e3af65 (old id 1041181)
date added to LUP
2016-04-04 07:37:43
date last changed
2021-09-12 03:08:24
@article{8aa389e7-92b1-4dc1-be7b-8ef0f7e3af65,
  abstract     = {{We will in the present paper derive a general three-dimensional formalism for electromagnetic scattering from buried inhomogeneities. We will exploit the transition matrix formalism, originally given by Waterman, to electromagnetic scattering in the presence of an infinite surface and a buried bounded inhomogeneity. The analysis explicitly assumes that the sources are located above the ground, but this restriction can easily be relaxed and a parallel derivation can be made for sources located in the ground or inside the buried obstacle. No explicit symmetry assumptions are made for the bounded inhomogeneity or the interface between the halfspaces, except that the interface be bounded by two parallel planes. The scattered field above the ground is calculated in terms of an expansion where the expansion coefficients are solutions of a matrix equation. The expression for the scattered field is separated into a directly scattered term, as if no scatterers were present, and the so called anomalous field, reflecting the presence of the inhomogeneity. We give some numerical examples for a flat interface and an inhomogeneity consisting of one or two buried spheres or a perfectly conducting spheroid.}},
  author       = {{Kristensson, Gerhard}},
  issn         = {{1931-9401}},
  language     = {{eng}},
  number       = {{7}},
  pages        = {{3486--3500}},
  publisher    = {{American Institute of Physics (AIP)}},
  series       = {{Applied Physics Reviews}},
  title        = {{Electromagnetic scattering from buried inhomogeneities - a general three-dimensional formalism}},
  url          = {{http://dx.doi.org/10.1063/1.328201}},
  doi          = {{10.1063/1.328201}},
  volume       = {{51}},
  year         = {{1980}},
}