Time domain Green functions technique for a point source over a dissipative stratified half-space with a phase velocity mismatch at the surface
type: Item
instance of: scholarly article
title: Time domain Green functions technique for a point source over a dissipative stratified half-space with a phase velocity mismatch at the surface
zbMATH Open document ID: 0813.73014
DOI: 10.1016/0165-2125(93)90004-Y
author: Sailing He
author: Yidong Hu
author: Staffan Ström
published in: Wave Motion
publication date: 1995-06-12T00:00:00Z
review text: The author considers the model of wave propagation (in domaion where sources are absent) described by the equation \(c^{-2}(z) \partial ^ 2 U/\partial t^ 2 -\Delta U + b(z) \partial U/ \partial t = 0\), where \(c(z) = c_ 0 = \text{const}\), \(b(z) = 0\) for \(z < 0\), and boundary conditions take the form \(U(x,y,+0,t) = qU(x,y,-0,t)\), \(U_ z (x,y,+0,t) = pU_ z (x,y,-0,t)\). The Green function technique based on wave splitting is used to solve both the direct and inverse (for reconstruction of \(c(z)\) and \(b(z))\) problems.
reviewed by: S.L.Edelstein
Mathematics Subject Classification ID: 74J10
Mathematics Subject Classification ID: 74J25
Mathematics Subject Classification ID: 74L05
Mathematics Subject Classification ID: 78A40
zbMATH DE Number: 405060
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 405060