Localization and mode conversion for elastic waves in randomly layered media. I
type: Item
instance of: scholarly article
title: Localization and mode conversion for elastic waves in randomly layered media. I
zbMATH Open document ID: 0943.74518
DOI: 10.1016/0165-2125(95)00035-6
published in: Wave Motion
publication date: 2000-08-29T00:00:00Z
review text: We present the localization theory for elastic waves in plane-stratified media, a multimode problem complicated by the interconversion of shear and compressional waves, both in propagation and in backscatter. We consider the low frequency limit, and derive the probability density and moments for the fraction of reflected energy which remains in the same mode (shear or compressional) as the incident field. Our main mathematical tool is a limit theorem for stochastic differential equations with a small parameter.
Mathematics Subject Classification ID: 74H50
Mathematics Subject Classification ID: 74J10
Mathematics Subject Classification ID: 74S30
zbMATH DE Number: 1217264
zbMATH Keywords: plane-stratified media
zbMATH Keywords: multimode problem
zbMATH Keywords: low frequency limit
zbMATH Keywords: probability density
zbMATH Keywords: reflected energy
zbMATH Keywords: limit theorem for stochastic differential equations with small parameter
author: Werner E. Kohler
author: George Papanicolaou
author: Benjamin S. White
MaRDI profile type: Publication
full work available at URL: 0165-2125(95)00035-6
OpenAlex ID: W2008254969
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Wikidata QID: Q127089192
description: scientific article; zbMATH DE number 1217264