"The source problem"---transient waves propagating frominternal sources in non-stationary media.
(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)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/35459
- author
- Åberg, Ingegerd and Karlsson, Anders LU
- organization
- publishing date
- 1997
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Wave Motion
- volume
- 26
- issue
- 1
- pages
- 43 - 68
- publisher
- Elsevier
- external identifiers
-
- scopus:0040832866
- 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
- 2016-04-01 17:13:08
- date last changed
- 2022-01-29 01:11:46
@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}},
doi = {{10.1016/S0165-2125(97)81254-1}},
volume = {{26}},
year = {{1997}},
}