Uniqueness in Determining a Ball with a Single Incoming Wave

Authors

  • Juan Liu Department of Mathematics, Jinan University, Guangzhou, 510632
  • Jie Zhang Department of Mathematics, Jinan University, Guangzhou, 510632

DOI:

https://doi.org/10.13447/j.1674-5647.2017.02.06

Keywords:

inverse obstacle scattering, uniqueness, ball, impedance boundary condition, Helmholtz equation

Abstract

We prove that a ball with the impedance boundary condition is uniquely determined by the far-field pattern corresponding to an incident plane wave at one given wavenumber and one given incident direction. In the uniqueness proof, the impedance parameter in the impedance boundary condition is unknown.

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Published

2019-12-16

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Issue

Vol. 33 No. 2 (2017)

Section

Articles

How to Cite

Uniqueness in Determining a Ball with a Single Incoming Wave. (2019). Communications in Mathematical Research, 33(2), 143-148. https://doi.org/10.13447/j.1674-5647.2017.02.06