Multiple scattering by a collection of randomly located obstacles Part V: Low order contributions to the coherent fields
(2023) In Technical Report LUTEDX/(TEAT-7277)/1-45/(2023)- Abstract
- The aim of this paper is to find appropriate approximate expressions of the
coherent electromagnetic field scattered by a particulate slab. The exact solution of the coherent electric field to the multiple scattering problem in the slab
is determined by the solution of a set of integral equations. By iterating the
integral equations, an approximate solution is obtained, which approximates
the solution of the scattering problem very well for tenuous media. The first
iterate is well documented in the literature and consists of the single scattering
contribution to the reflected and transmitted fields. The second term involves
double scattering contributions and is more complex. However, the result has
an... (More) - The aim of this paper is to find appropriate approximate expressions of the
coherent electromagnetic field scattered by a particulate slab. The exact solution of the coherent electric field to the multiple scattering problem in the slab
is determined by the solution of a set of integral equations. By iterating the
integral equations, an approximate solution is obtained, which approximates
the solution of the scattering problem very well for tenuous media. The first
iterate is well documented in the literature and consists of the single scattering
contribution to the reflected and transmitted fields. The second term involves
double scattering contributions and is more complex. However, the result has
an analytic solution, which makes it possible to trace different contributions
to the final solution. Several numerical illustrations are presented, which show
the accuracy and use of the approximate solutions. (Less) - Abstract (Swedish)
- The aim of this paper is to find appropriate approximate expressions of the coherent electromagnetic field scattered by a particulate slab.
The exact solution of the coherent electric field to the multiple scattering problem in the slab is determined by the solution of a set of integral equations. By iterating the integral equations, an approximate solution is obtained, which approximates the solution of the scattering problem very well for tenuous media. The first iterate is well documented in the literature and consists of the single scattering contribution to the reflected and transmitted fields. The second term involves double scattering contributions and is more complex. However, the result has an analytic solution, which makes it... (More) - The aim of this paper is to find appropriate approximate expressions of the coherent electromagnetic field scattered by a particulate slab.
The exact solution of the coherent electric field to the multiple scattering problem in the slab is determined by the solution of a set of integral equations. By iterating the integral equations, an approximate solution is obtained, which approximates the solution of the scattering problem very well for tenuous media. The first iterate is well documented in the literature and consists of the single scattering contribution to the reflected and transmitted fields. The second term involves double scattering contributions and is more complex. However, the result has an analytic solution, which makes it possible to trace different contributions to the final solution. Several numerical illustrations are presented, which show the accuracy and use of the approximate solutions. (Less)
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- author
- Kristensson, Gerhard LU
- organization
- publishing date
- 2023
- type
- Book/Report
- publication status
- published
- subject
- in
- Technical Report LUTEDX/(TEAT-7277)/1-45/(2023)
- pages
- 45 pages
- report number
- TEAT-7277
- language
- English
- LU publication?
- yes
- id
- 1ca71634-b779-4793-aa85-ee8fd2c4c323
- date added to LUP
- 2023-05-29 17:24:22
- date last changed
- 2023-05-30 14:19:29
@techreport{1ca71634-b779-4793-aa85-ee8fd2c4c323,
abstract = {{The aim of this paper is to find appropriate approximate expressions of the<br/>coherent electromagnetic field scattered by a particulate slab. The exact solution of the coherent electric field to the multiple scattering problem in the slab<br/>is determined by the solution of a set of integral equations. By iterating the<br/>integral equations, an approximate solution is obtained, which approximates<br/>the solution of the scattering problem very well for tenuous media. The first<br/>iterate is well documented in the literature and consists of the single scattering<br/>contribution to the reflected and transmitted fields. The second term involves<br/>double scattering contributions and is more complex. However, the result has<br/>an analytic solution, which makes it possible to trace different contributions<br/>to the final solution. Several numerical illustrations are presented, which show<br/>the accuracy and use of the approximate solutions.}},
author = {{Kristensson, Gerhard}},
language = {{eng}},
number = {{TEAT-7277}},
series = {{Technical Report LUTEDX/(TEAT-7277)/1-45/(2023)}},
title = {{Multiple scattering by a collection of randomly located obstacles Part V: Low order contributions to the coherent fields}},
url = {{https://lup.lub.lu.se/search/files/147781199/TEAT_7277.pdf}},
year = {{2023}},
}