Advanced

Coherent scattering by a collection of randomly located obstacles --- an alternative integral equation formulation

Kristensson, Gerhard LU (2015) In Journal of Quantitative Spectroscopy & Radiative Transfer 164. p.97-108
Abstract
Scattering of electromagnetic waves by discrete, randomly distributed objects is addressed. In general, the non-intersecting scattering objects can be of arbitrary form, material and shape. The main aim of this paper is to calculate the coherent reflection and transmission characteristics of a slab containing discrete, randomly distributed scatterers. The integral representation of the solution of the deterministic problem constitutes the underlying framework of the stochastic problem. Conditional averaging and the employment of the Quasi Crystalline Approximation lead to a system of integral equations in the unknown expansion coefficients. Of special interest is the slab geometry, which implies a system of integral equations in the depth... (More)
Scattering of electromagnetic waves by discrete, randomly distributed objects is addressed. In general, the non-intersecting scattering objects can be of arbitrary form, material and shape. The main aim of this paper is to calculate the coherent reflection and transmission characteristics of a slab containing discrete, randomly distributed scatterers. The integral representation of the solution of the deterministic problem constitutes the underlying framework of the stochastic problem. Conditional averaging and the employment of the Quasi Crystalline Approximation lead to a system of integral equations in the unknown expansion coefficients. Of special interest is the slab geometry, which implies a system of integral equations in the depth variable. Explicit solutions for tenuous media and low frequency approximations can be obtained for spherical obstacles. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Journal of Quantitative Spectroscopy & Radiative Transfer
volume
164
pages
97 - 108
publisher
Elsevier
external identifiers
  • wos:000359502400009
  • scopus:84934929581
ISSN
0022-4073
DOI
10.1016/j.jqsrt.2015.06.004
language
English
LU publication?
yes
id
02472451-062b-4a15-8e4c-960a612e8430 (old id 5464008)
date added to LUP
2015-06-05 11:57:01
date last changed
2017-09-03 04:10:33
@article{02472451-062b-4a15-8e4c-960a612e8430,
  abstract     = {Scattering of electromagnetic waves by discrete, randomly distributed objects is addressed. In general, the non-intersecting scattering objects can be of arbitrary form, material and shape. The main aim of this paper is to calculate the coherent reflection and transmission characteristics of a slab containing discrete, randomly distributed scatterers. The integral representation of the solution of the deterministic problem constitutes the underlying framework of the stochastic problem. Conditional averaging and the employment of the Quasi Crystalline Approximation lead to a system of integral equations in the unknown expansion coefficients. Of special interest is the slab geometry, which implies a system of integral equations in the depth variable. Explicit solutions for tenuous media and low frequency approximations can be obtained for spherical obstacles.},
  author       = {Kristensson, Gerhard},
  issn         = {0022-4073},
  language     = {eng},
  pages        = {97--108},
  publisher    = {Elsevier},
  series       = {Journal of Quantitative Spectroscopy & Radiative Transfer},
  title        = {Coherent scattering by a collection of randomly located obstacles --- an alternative integral equation formulation},
  url          = {http://dx.doi.org/10.1016/j.jqsrt.2015.06.004},
  volume       = {164},
  year         = {2015},
}