Sammanfattning
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.
| Originalspråk | engelska |
|---|---|
| Förlag | The Department of Electrical and Information Technology |
| Antal sidor | 16 |
| Volym | TEAT-7228 |
| Status | Published - 2014 |
Publikationsserier
| Namn | Technical Report LUTEDX/(TEAT-7228)/1-16/(2014) |
|---|---|
| Volym | TEAT-7228 |
Bibliografisk information
Published version: Journal of Mathematical Analysis and Applications, Vol. 432, No. 1, pp. 324-337, 2015.Ämnesklassifikation (UKÄ)
- Elektroteknik och elektronik