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Multiple scattering by a collection of randomly located obstacles Part III: Theory - slab geometry

Kristensson, Gerhard LU and Wellander, Niklas LU (2017) In Technical Report LUTEDX/(TEAT-7252)/1-67/(2017) TEAT-7252.
Abstract (Swedish)
In this paper, scattering of electromagnetic waves by discrete, randomly distributed objects inside a (finite thickness or semi-infinite) slab is addressed.
In general, the non-intersecting scattering objects can be of arbitrary form, material and shape with a number density of $n_0$ (number of scatterers per volume).
The main aim of this paper is to calculate the coherent reflection and transmission characteristics for this configuration.
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... (More)
In this paper, scattering of electromagnetic waves by discrete, randomly distributed objects inside a (finite thickness or semi-infinite) slab is addressed.
In general, the non-intersecting scattering objects can be of arbitrary form, material and shape with a number density of $n_0$ (number of scatterers per volume).
The main aim of this paper is to calculate the coherent reflection and transmission characteristics for this configuration.
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 a system of integral equations in the unknown expansion coefficients. With a uniform distribution of scatterers the analysis simplifies to 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)
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author
organization
publishing date
type
Book/Report
publication status
published
subject
in
Technical Report LUTEDX/(TEAT-7252)/1-67/(2017)
volume
TEAT-7252
pages
67 pages
publisher
The Department of Electrical and Information Technology
language
English
LU publication?
yes
id
111e6e33-678b-437e-a052-5ea7c7e497b8
date added to LUP
2017-08-30 15:36:46
date last changed
2018-01-10 10:31:29
@techreport{111e6e33-678b-437e-a052-5ea7c7e497b8,
  abstract     = {In this paper, scattering of electromagnetic waves by discrete, randomly distributed objects inside a (finite thickness or semi-infinite) slab is addressed.<br/>In general, the non-intersecting scattering objects can be of arbitrary form, material and shape with a number density of $n_0$ (number of scatterers per volume).<br/>The main aim of this paper is to calculate the coherent reflection and transmission characteristics for this configuration.<br/>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.<br/>Conditional averaging and the employment of the Quasi Crystalline Approximation lead to a system of integral equations in the unknown expansion coefficients. With a uniform distribution of scatterers the analysis simplifies to 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 and Wellander, Niklas},
  institution  = {The Department of Electrical and Information Technology},
  language     = {eng},
  pages        = {67},
  series       = {Technical Report LUTEDX/(TEAT-7252)/1-67/(2017)},
  title        = {Multiple scattering by a collection of randomly located obstacles  Part III: Theory - slab geometry},
  volume       = {TEAT-7252},
  year         = {2017},
}