Volume 33, Issue 2
Uniqueness in Determining a Ball with a Single Incoming Wave

Juan Liu & Jie Zhang

Commun. Math. Res., 33 (2017), pp. 143-148.

Published online: 2019-11

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  • 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.

  • Keywords

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

  • AMS Subject Headings

78A46, 35J25

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

liujuan@jnu.edu.cn (Juan Liu)

  • BibTex
  • RIS
  • TXT
@Article{CMR-33-143, author = {Liu , Juan and Zhang , Jie}, title = {Uniqueness in Determining a Ball with a Single Incoming Wave}, journal = {Communications in Mathematical Research }, year = {2019}, volume = {33}, number = {2}, pages = {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.

}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2017.02.06}, url = {http://global-sci.org/intro/article_detail/cmr/13394.html} }
TY - JOUR T1 - Uniqueness in Determining a Ball with a Single Incoming Wave AU - Liu , Juan AU - Zhang , Jie JO - Communications in Mathematical Research VL - 2 SP - 143 EP - 148 PY - 2019 DA - 2019/11 SN - 33 DO - http://doi.org/10.13447/j.1674-5647.2017.02.06 UR - https://global-sci.org/intro/article_detail/cmr/13394.html KW - inverse obstacle scattering, uniqueness, ball, impedance boundary condition, Helmholtz equation AB -

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.

Juan Liu & Jie Zhang. (2019). Uniqueness in Determining a Ball with a Single Incoming Wave. Communications in Mathematical Research . 33 (2). 143-148. doi:10.13447/j.1674-5647.2017.02.06
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