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"The source problem"---transient waves propagating frominternal sources in non-stationary media.

Åberg, Ingegerd and Karlsson, Anders LU (1997) In Wave Motion 26(1). p.43-68
Abstract
Direct scattering of propagating transient waves originating from internal sources in non-stationary, inhomogeneous, dispersive, stratified media is investigated. The starting point is a general, inhomogeneous, linear, first order 2 X 2 system of equations. Particular solutions are obtained, as integrals of fundamental waves from point sources distributed throughout the medium. First, resolvent kernels are used to construct time-dependent fundamental wave functions at the location of the point source. Wave propagators, closely related to the Green functions, at all times advance these time-dependent waves into the surrounding medium. The propagator equations and the propagation of propagator kernel discontinuities along the characteristics... (More)
Direct scattering of propagating transient waves originating from internal sources in non-stationary, inhomogeneous, dispersive, stratified media is investigated. The starting point is a general, inhomogeneous, linear, first order 2 X 2 system of equations. Particular solutions are obtained, as integrals of fundamental waves from point sources distributed throughout the medium. First, resolvent kernels are used to construct time-dependent fundamental wave functions at the location of the point source. Wave propagators, closely related to the Green functions, at all times advance these time-dependent waves into the surrounding medium. The propagator equations and the propagation of propagator kernel discontinuities along the characteristics of these equations are essential in the distributional proof, which is outlined. As an illustration, three special problems are studied; the inhomogeneous, second order wave equation, and source problems in homogeneous and time-invariant media. (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Wave Motion
volume
26
issue
1
pages
43 - 68
publisher
Elsevier
ISSN
0165-2125
DOI
10.1016/S0165-2125(97)81254-1
language
English
LU publication?
yes
id
26f80b78-9e8a-4ecb-b05c-6c0b99b26121 (old id 35459)
date added to LUP
2007-06-19 14:37:41
date last changed
2016-04-16 05:32:59
@article{26f80b78-9e8a-4ecb-b05c-6c0b99b26121,
  abstract     = {Direct scattering of propagating transient waves originating from internal sources in non-stationary, inhomogeneous, dispersive, stratified media is investigated. The starting point is a general, inhomogeneous, linear, first order 2 X 2 system of equations. Particular solutions are obtained, as integrals of fundamental waves from point sources distributed throughout the medium. First, resolvent kernels are used to construct time-dependent fundamental wave functions at the location of the point source. Wave propagators, closely related to the Green functions, at all times advance these time-dependent waves into the surrounding medium. The propagator equations and the propagation of propagator kernel discontinuities along the characteristics of these equations are essential in the distributional proof, which is outlined. As an illustration, three special problems are studied; the inhomogeneous, second order wave equation, and source problems in homogeneous and time-invariant media.},
  author       = {Åberg, Ingegerd and Karlsson, Anders},
  issn         = {0165-2125},
  language     = {eng},
  number       = {1},
  pages        = {43--68},
  publisher    = {Elsevier},
  series       = {Wave Motion},
  title        = {"The source problem"---transient waves propagating frominternal sources in non-stationary media.},
  url          = {http://dx.doi.org/10.1016/S0165-2125(97)81254-1},
  volume       = {26},
  year         = {1997},
}