Advanced

Multiple scattering by a collection of randomly located obstacles Part I: Theory - coherent fields

Kristensson, Gerhard LU (2014) In Technical Report LUTEDX/(TEAT-7235)/1-51/(2014) TEAT-7235.
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 finite or semi-infinite slab containing discrete, randomly distributed scatterers. Typical applications of the results are found at a wide range of frequencies (radar up to optics), such as attenuation of electromagnetic propagation in rain, fog, and clouds, etc. 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... (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 finite or semi-infinite slab containing discrete, randomly distributed scatterers. Typical applications of the results are found at a wide range of frequencies (radar up to optics), such as attenuation of electromagnetic propagation in rain, fog, and clouds, etc. 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 an integral equation in the unknown expansion coefficients. Of special interest is the slab geometry, which implies an integral equation 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
Book/Report
publication status
published
subject
in
Technical Report LUTEDX/(TEAT-7235)/1-51/(2014)
volume
TEAT-7235
pages
51 pages
publisher
The Department of Electrical and Information Technology
language
English
LU publication?
yes
id
47690761-dfca-4c2d-ac1b-22e7658598d0 (old id 4820648)
date added to LUP
2014-12-02 13:05:41
date last changed
2017-09-18 13:07:40
@techreport{47690761-dfca-4c2d-ac1b-22e7658598d0,
  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 finite or semi-infinite slab containing discrete, randomly distributed scatterers. Typical applications of the results are found at a wide range of frequencies (radar up to optics), such as attenuation of electromagnetic propagation in rain, fog, and clouds, etc. 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 an integral equation in the unknown expansion coefficients. Of special interest is the slab geometry, which implies an integral equation in the depth variable. Explicit solutions for tenuous media and low frequency approximations can be obtained for spherical obstacles.},
  author       = {Kristensson, Gerhard},
  institution  = {The Department of Electrical and Information Technology},
  language     = {eng},
  pages        = {51},
  series       = {Technical Report LUTEDX/(TEAT-7235)/1-51/(2014)},
  title        = {Multiple scattering by a collection of randomly located obstacles Part I: Theory - coherent fields},
  volume       = {TEAT-7235},
  year         = {2014},
}