An expansion theorem for two-dimensional elastic waves and its application

Kun Chu Chen; Ching Lung Lin

doi:10.1002/mma.753

An expansion theorem for two-dimensional elastic waves and its application

Kun Chu Chen, Ching Lung Lin

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We prove an Atkinson-Wilcox-type expansion for two-dimensional elastic waves in this paper. The approach developed on the two-dimensional Helmholtz equation will be applied in the proof. When the elastic fields are involved, the situation becomes much harder due to two wave solutions propagating at different phase velocities. In the last section, we give an application about the reconstruction of an obstacle from the scattering amplitude.

Original language	English
Pages (from-to)	1849-1860
Number of pages	12
Journal	Mathematical Methods in the Applied Sciences
Volume	29
Issue number	15
DOIs	https://doi.org/10.1002/mma.753
Publication status	Published - 2006 Oct 1

All Science Journal Classification (ASJC) codes

Mathematics(all)
Engineering(all)

Access to Document

10.1002/mma.753

Fingerprint Dive into the research topics of 'An expansion theorem for two-dimensional elastic waves and its application'. Together they form a unique fingerprint.

Cite this

@article{2835e6475f4f4b2787083ac2907d4e59,

title = "An expansion theorem for two-dimensional elastic waves and its application",

abstract = "We prove an Atkinson-Wilcox-type expansion for two-dimensional elastic waves in this paper. The approach developed on the two-dimensional Helmholtz equation will be applied in the proof. When the elastic fields are involved, the situation becomes much harder due to two wave solutions propagating at different phase velocities. In the last section, we give an application about the reconstruction of an obstacle from the scattering amplitude.",

author = "Chen, {Kun Chu} and Lin, {Ching Lung}",

year = "2006",

month = oct,

day = "1",

doi = "10.1002/mma.753",

language = "English",

volume = "29",

pages = "1849--1860",

journal = "Mathematical Methods in the Applied Sciences",

issn = "0170-4214",

publisher = "John Wiley and Sons Ltd",

number = "15",

}

TY - JOUR

T1 - An expansion theorem for two-dimensional elastic waves and its application

AU - Chen, Kun Chu

AU - Lin, Ching Lung

PY - 2006/10/1

Y1 - 2006/10/1

N2 - We prove an Atkinson-Wilcox-type expansion for two-dimensional elastic waves in this paper. The approach developed on the two-dimensional Helmholtz equation will be applied in the proof. When the elastic fields are involved, the situation becomes much harder due to two wave solutions propagating at different phase velocities. In the last section, we give an application about the reconstruction of an obstacle from the scattering amplitude.

AB - We prove an Atkinson-Wilcox-type expansion for two-dimensional elastic waves in this paper. The approach developed on the two-dimensional Helmholtz equation will be applied in the proof. When the elastic fields are involved, the situation becomes much harder due to two wave solutions propagating at different phase velocities. In the last section, we give an application about the reconstruction of an obstacle from the scattering amplitude.

UR - http://www.scopus.com/inward/record.url?scp=33748857787&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33748857787&partnerID=8YFLogxK

U2 - 10.1002/mma.753

DO - 10.1002/mma.753

M3 - Article

AN - SCOPUS:33748857787

VL - 29

SP - 1849

EP - 1860

JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

SN - 0170-4214

IS - 15

ER -