Determining scattering support of anisotropic acoustic mediums and obstacles

Hongyu Liu; Hongkai Zhao; Changjian Zou

doi:10.4310/CMS.2015.v13.n4.a7

Determining scattering support of anisotropic acoustic mediums and obstacles

Hongyu Liu
, Hongkai Zhao
, Changjian Zou

Department of Mathematics

Research output: Contribution to journal › Journal article › peer-review

16 Citations (Scopus)

81 Downloads (Pure)

Abstract

We consider the inverse acoustic scattering problem for a complex scatterer, which might be composed of both inhomogeneous anisotropic mediums and impenetrable obstacles. It is shown that the fixed-frequency scattering amplitude uniquely determines the scattering support of a complex scatterer, disregarding its contents.

Original language	English
Pages (from-to)	987-1000
Number of pages	14
Journal	Communications in Mathematical Sciences
Volume	13
Issue number	4
DOIs	https://doi.org/10.4310/CMS.2015.v13.n4.a7
Publication status	Published - Jun 2015

User-Defined Keywords

inverse acoustic scattering
anisotropic medium
obstacle
uniqueness

Access to Document

10.4310/CMS.2015.v13.n4.a7

Full TextAccepted author manuscript, 352 KB

Cite this

@article{a2ab7b714757416d8fe4adbe321b336c,

title = "Determining scattering support of anisotropic acoustic mediums and obstacles",

abstract = "We consider the inverse acoustic scattering problem for a complex scatterer, which might be composed of both inhomogeneous anisotropic mediums and impenetrable obstacles. It is shown that the fixed-frequency scattering amplitude uniquely determines the scattering support of a complex scatterer, disregarding its contents.",

keywords = "inverse acoustic scattering, anisotropic medium, obstacle, uniqueness",

author = "Hongyu Liu and Hongkai Zhao and Changjian Zou",

note = "Publisher Copyright: {\textcopyright} 2015 International Press.",

year = "2015",

month = jun,

doi = "10.4310/CMS.2015.v13.n4.a7",

language = "English",

volume = "13",

pages = "987--1000",

journal = "Communications in Mathematical Sciences",

issn = "1539-6746",

publisher = "International Press, Inc.",

number = "4",

}

TY - JOUR

T1 - Determining scattering support of anisotropic acoustic mediums and obstacles

AU - Liu, Hongyu

AU - Zhao, Hongkai

AU - Zou, Changjian

PY - 2015/6

Y1 - 2015/6

N2 - We consider the inverse acoustic scattering problem for a complex scatterer, which might be composed of both inhomogeneous anisotropic mediums and impenetrable obstacles. It is shown that the fixed-frequency scattering amplitude uniquely determines the scattering support of a complex scatterer, disregarding its contents.

AB - We consider the inverse acoustic scattering problem for a complex scatterer, which might be composed of both inhomogeneous anisotropic mediums and impenetrable obstacles. It is shown that the fixed-frequency scattering amplitude uniquely determines the scattering support of a complex scatterer, disregarding its contents.

KW - inverse acoustic scattering

KW - anisotropic medium

KW - obstacle

KW - uniqueness

UR - https://www.scopus.com/pages/publications/84930027399

U2 - 10.4310/CMS.2015.v13.n4.a7

DO - 10.4310/CMS.2015.v13.n4.a7

M3 - Journal article

AN - SCOPUS:84930027399

SN - 1539-6746

VL - 13

SP - 987

EP - 1000

JO - Communications in Mathematical Sciences

JF - Communications in Mathematical Sciences

IS - 4

ER -

Determining scattering support of anisotropic acoustic mediums and obstacles

Abstract

User-Defined Keywords

Access to Document

Other files and links

Fingerprint

Cite this