Reflection of plane waves from an plastic layered medium: Resonance approach and numerical modeling

Citation
Ms. Fokina et Vn. Fokin, Reflection of plane waves from an plastic layered medium: Resonance approach and numerical modeling, ACOUST PHYS, 46(5), 2000, pp. 605-612
Citations number
20
Categorie Soggetti
Apllied Physucs/Condensed Matter/Materiales Science","Optics & Acoustics
Journal title
ACOUSTICAL PHYSICS
ISSN journal
10637710 → ACNP
Volume
46
Issue
5
Year of publication
2000
Pages
605 - 612
Database
ISI
SICI code
1063-7710(200009/10)46:5<605:ROPWFA>2.0.ZU;2-X
Abstract
The resonance formalism developed earlier by H. Uberall for st model of a l iquid layer overlying a liquid halfspace is extended to a model of an elast ic layer overlying an elastic halfspace. Using the Thomson-Haskell matrix t echnique, an exact analytical expression is obtained for the complex reflec tion coefficient. Characteristic equations are derived, and their roots, wh ich determine the positions of the resonances of the reflection coefficient for longitudinal and transverse waves, are obtained analytically. In the r esonance approach, the exact expression for the reflection coefficient is r eplaced by an approximate one that describes the behavior of the reflection coefficient near the resonances. The comparison of the exact and approxima te values of the reflection coefficient shows good agreement between the re sults near the frequency and angular resonances. (C) 2000 MAIK "Nauka/Inter periodica".