Uniqueness in Determining a Ball with a Single Incoming Wave
Commun. Math. Res., 33 (2017), pp. 143-148.
Published online: 2019-11
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@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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