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"The source problem" - Transient waves propagating from internal sources in non-stationary media

Åberg, Ingegerd and Karlsson, Anders LU (1995) In Technical Report LUTEDX/(TEAT-7044)/1-29/(1995) TEAT-7044.
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 × 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... (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 × 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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type
Book/Report
publication status
published
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in
Technical Report LUTEDX/(TEAT-7044)/1-29/(1995)
volume
TEAT-7044
pages
29 pages
publisher
[Publisher information missing]
language
English
LU publication?
yes
id
26edf52a-51a1-45a4-acab-511fa4ed25d9 (old id 530320)
date added to LUP
2007-09-06 11:14:53
date last changed
2016-04-16 12:45:34
@misc{26edf52a-51a1-45a4-acab-511fa4ed25d9,
  abstract     = {Direct scattering of propagating transient waves originating from internal<br/><br>
sources in non-stationary, inhomogeneous, dispersive, stratified media, is investigated.<br/><br>
The starting point is a general, inhomogeneous, linear, first order,<br/><br>
2 × 2 system of equations. Particular solutions are obtained, as integrals of<br/><br>
fundamental waves from point sources distributed throughout the medium.<br/><br>
First, resolvent kernels are used to construct time dependent fundamental<br/><br>
wave functions at the location of the point source. Wave propagators, closely<br/><br>
related to the Green functions, at all times advance these time dependent<br/><br>
waves into the surrounding medium. The propagator equations and the propagation<br/><br>
of propagator kernel discontinuities along the characteristics of these<br/><br>
equations are essential in the distributional proof, which is outlined. As an<br/><br>
illustration, three special problems are studied; the inhomogeneous, second<br/><br>
order wave equation, and source problems in homogeneous and time invariant<br/><br>
media.},
  author       = {Åberg, Ingegerd and Karlsson, Anders},
  language     = {eng},
  pages        = {29},
  publisher    = {ARRAY(0x9ee4bc0)},
  series       = {Technical Report LUTEDX/(TEAT-7044)/1-29/(1995)},
  title        = {"The source problem" - Transient waves propagating from internal sources in non-stationary media},
  volume       = {TEAT-7044},
  year         = {1995},
}