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  4. On the characterization of nonradiating sources for the elastic waves in anisotropic inhomogeneous media
 
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On the characterization of nonradiating sources for the elastic waves in anisotropic inhomogeneous media

Journal
SIAM Journal on Applied Mathematics
Journal Volume
81
Journal Issue
4
Pages
1530-1551
Date Issued
2021
Author(s)
Kow P.-Z
JENN-NAN WANG  
DOI
10.1137/20M1386293
URI
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85112410684&doi=10.1137%2f20M1386293&partnerID=40&md5=6c9efc1125651d8246a330604122e422
https://scholars.lib.ntu.edu.tw/handle/123456789/606442
Abstract
In this paper, we would like to characterize nonradiating volume and surface (faulting) sources for the elastic waves in anisotropic inhomogeneous media. Each type of source can be decomposed into a radiating part and a nonradiating part. The radiating part can be uniquely determined by an explicit formula containing the near-feld measurements. On the other hand, the nonradiating part does not induce scattered waves at a certain frequency. In other words, such nonradiating source cannot be detected by measuring the feld at a single frequency in a region outside of the domain where the source is located. ? 2021 Society for Industrial and Applied Mathematics Publications. All rights reserved.
Subjects
Elastic waves
Nonradiating sources
Surface sources
Volume sources
Anisotropy
Explicit formula
Inhomogeneous media
Scattered waves
Single frequency
Type
journal article

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