The direct scattering problem for penetrable obstacles included in a cavity

The direct scattering problem for penetrable obstacles included in a cavity

We consider the problem of interior scattering from a point source for a bounded domain D containing two penetrable scatterers Ω 1 and Ω 2 in R 2 . The integral representation for a solution is reconstructed in the form of special combined potentials. The density functions included in the potentials...

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Veröffentlicht in:Indian journal of pure and applied mathematics 2021-06, Vol.52 (2), p.313-322
Hauptverfasser: Zhu, Xianghe, Peng, Chaoquan, Guo, Jun
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Fredholm equations
Integral equations
Mathematics
Mathematics and Statistics
Numerical Analysis
Original Research
Scattering
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Zusammenfassung:We consider the problem of interior scattering from a point source for a bounded domain D containing two penetrable scatterers Ω 1 and Ω 2 in R 2 . The integral representation for a solution is reconstructed in the form of special combined potentials. The density functions included in the potentials satisfy the uniquely solvable Riesz-Fredholm integral equation. Then we obtain the existence and uniqueness of the solution for the direct scattering problem.
ISSN:0019-5588
0975-7465
DOI:10.1007/s13226-021-00141-5