Uniqueness in Determining a Ball with a Single Incoming Wave

Uniqueness in Determining a Ball with a Single Incoming Wave

Year:    2017

Author:    Juan Liu, Jie Zhang

Communications in Mathematical Research , Vol. 33 (2017), Iss. 2 : pp. 143–148

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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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

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

Communications in Mathematical Research , Vol. 33 (2017), Iss. 2 : pp. 143–148

Published online:    2017-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    6

Keywords:    inverse obstacle scattering uniqueness ball impedance boundary condition Helmholtz equation

Author Details

Juan Liu

Jie Zhang