Evaluation of some integrals relevant to multiple scattering by randomly distributed obstacles
Author
Summary, in English
This paper analyzes and solves an integral and its indefinite Fourier transform of importance in multiple scattering problems of randomly distributed scatterers.
The integrand contains a radiating spherical wave, and the two-dimensional domain of integration excludes a circular region of varying size.
A solution of the integral in terms of radiating spherical waves is demonstrated. The method employs the Erdelyi operators, which leads to a recursion relation. This recursion relation is solved in terms of a finite sum of radiating spherical waves.
The solution of the indefinite Fourier transform of the integral contains the indefinite Fourier transforms of the Legendre polynomials, which are solved by a recursion relation.
The integrand contains a radiating spherical wave, and the two-dimensional domain of integration excludes a circular region of varying size.
A solution of the integral in terms of radiating spherical waves is demonstrated. The method employs the Erdelyi operators, which leads to a recursion relation. This recursion relation is solved in terms of a finite sum of radiating spherical waves.
The solution of the indefinite Fourier transform of the integral contains the indefinite Fourier transforms of the Legendre polynomials, which are solved by a recursion relation.
Publishing year
2014
Language
English
Publication/Series
Technical Report LUTEDX/(TEAT-7228)/1-16/(2014)
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Document type
Report
Publisher
The Department of Electrical and Information Technology
Topic
- Electrical Engineering, Electronic Engineering, Information Engineering
Status
Published
Report number
TEAT-7228
Research group
- Electromagnetic Theory