Multiple scattering of surface waves by cavities in a half-space

Haidang Phan, Younho Cho, Taeho Ju, Jan Drewes Achenbach

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations

Abstract

Scattering of surface waves from multiple two-dimensional cavities at the surface of a homogenous, isotropic, linearly elastic half-space is analyzed in this work. For the case of multiple cavities, the scattered field is shown to be equivalent to the total radiation from the distributions of tractions, calculated from the incident wave, over the surfaces of the cavities. The multiple-scattering model is obtained from known single-scattering calculation for a cavity by the use of the self-consistent method. The second order approximation to the multiple-scattering problem by a random distribution of cavities is then considered and solved analytically. The vertical displacement at some distance from the cavities is calculated and verified by the solution of the same problem obtained by the boundary element method (BEM). The analytical and BEM results are graphically displayed and show good agreement when the depths of the cavities are small compared to the wavelength.

Original languageEnglish (US)
Title of host publication40th Annual Review of Progress in Quantitative Nondestructive Evaluation - Incorporating the 10th International Conference on Barkhausen Noise and Micromagnetic Testing
PublisherAmerican Institute of Physics Inc.
Pages537-541
Number of pages5
Volume1581 33
ISBN (Print)9780735412118
DOIs
StatePublished - Jan 1 2014
Event40th Annual Review of Progress in Quantitative Nondestructive Evaluation, QNDE 2013, Incorporating the 10th International Conference on Barkhausen and Micro-Magnetics, ICBM 2013 - Baltimore, MD, United States
Duration: Jul 21 2013Jul 26 2013

Other

Other40th Annual Review of Progress in Quantitative Nondestructive Evaluation, QNDE 2013, Incorporating the 10th International Conference on Barkhausen and Micro-Magnetics, ICBM 2013
Country/TerritoryUnited States
CityBaltimore, MD
Period7/21/137/26/13

Keywords

  • BEM
  • Half-space
  • Multiple Scattering
  • Self-consistent Method

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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