Decoupling elastic waves and its applications

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

13 Scopus Citations
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Author(s)

Detail(s)

Original languageEnglish
Pages (from-to)4442-4480
Journal / PublicationJournal of Differential Equations
Volume263
Issue number8
Online published2 Jun 2017
Publication statusPublished - 15 Oct 2017
Externally publishedYes

Abstract

In this paper, we consider time-harmonic elastic wave scattering governed by the Lamé system. It is known that the elastic wave field can be decomposed into the shear and compressional parts, namely, the pressure and shear waves that are generally coexisting, but propagating at different speeds. We consider the third or fourth kind impenetrable scatterer and derive two geometric conditions, respectively, related to the mean and Gaussian curvatures of the boundary surface of the scatterer that can ensure the decoupling of the shear and pressure waves. The decoupling results are new to the literature and are of significant interest for their own sake. As an interesting application, we apply the decoupling results to the uniqueness and stability analysis for inverse elastic scattering problems in determining polyhedral scatterers by a minimal number of far-field measurements.

Research Area(s)

  • Decoupling, Elastic scattering, Inverse elastic scattering, Lamé system, Shear and pressure waves, Uniqueness and stability

Citation Format(s)

Decoupling elastic waves and its applications. / Liu, Hongyu; Xiao, Jingni.
In: Journal of Differential Equations, Vol. 263, No. 8, 15.10.2017, p. 4442-4480.

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review