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The direct scattering problem for penetrable obstacles included in a cavity

Author

Listed:
  • Xianghe Zhu

    (Renmin University of China
    Wuchang Shouyi University)

  • Chaoquan Peng

    (South-Central University For Nationalities)

  • Jun Guo

    (South-Central University For Nationalities)

Abstract

We consider the problem of interior scattering from a point source for a bounded domain D containing two penetrable scatterers $$\Omega _1$$ Ω 1 and $$\Omega _2$$ Ω 2 in $$R^2$$ 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.

Suggested Citation

  • Xianghe Zhu & Chaoquan Peng & Jun Guo, 2021. "The direct scattering problem for penetrable obstacles included in a cavity," Indian Journal of Pure and Applied Mathematics, Springer, vol. 52(2), pages 313-322, June.
    • Handle: RePEc:spr:indpam:v:52:y:2021:i:2:d:10.1007_s13226-021-00141-5
    DOI: 10.1007/s13226-021-00141-5
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