"The source problem" - Transient waves propagating from internal sources in non-stationary media
(1995) In Technical Report LUTEDX/(TEAT-7044)/1-29/(1995)- 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)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/530320
- author
- Åberg, Ingegerd and Karlsson, Anders LU
- organization
- publishing date
- 1995
- type
- Book/Report
- publication status
- published
- subject
- in
- Technical Report LUTEDX/(TEAT-7044)/1-29/(1995)
- pages
- 29 pages
- publisher
- [Publisher information missing]
- report number
- TEAT-7044
- language
- English
- LU publication?
- yes
- additional info
- Published version: Wave Motion, Vol. 26, No. 1, pp. 43-68, 1997.
- id
- 26edf52a-51a1-45a4-acab-511fa4ed25d9 (old id 530320)
- date added to LUP
- 2016-04-04 14:36:21
- date last changed
- 2018-11-21 21:21:15
@techreport{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}}, institution = {{[Publisher information missing]}}, language = {{eng}}, number = {{TEAT-7044}}, series = {{Technical Report LUTEDX/(TEAT-7044)/1-29/(1995)}}, title = {{"The source problem" - Transient waves propagating from internal sources in non-stationary media}}, url = {{https://lup.lub.lu.se/search/files/6398959/624874.pdf}}, year = {{1995}}, }