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A single layer representation of the scattered field for multiple scattering problems
- Publication Year :
- 2023
-
Abstract
- The scattering of scalar waves by a set of scatterers is considered. It is proven that the scattered field can be represented as the integral of a density over an arbitrary smooth surface enclosing the scatterers. This is a generalization of the series expansion over spherical harmonics and spherical Bessel functions for spherical geometries. It allows an extension of the Fast Multiple Algorithm to non spherical domains.<br />Comment: 15 pages, 10 figures
- Subjects :
- Mathematical Physics
Physics - Computational Physics
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2309.07549
- Document Type :
- Working Paper