Transient waves in non-stationary media
(1994) In Technical Report LUTEDX/(TEAT-7037)/1-27/(1994)- Abstract
- This paper treats propagation of transient waves in non-stationary media,
which has many applications in e.g. electromagnetics and acoustics. The underlying
hyperbolic equation is a general, homogeneous, linear, first order 2×2
system of equations. The coefficients in this system depend only on one spatial
coordinate and time. Furthermore, memory effects are modeled by integral
kernels, which, in addition to the spatial dependence, are functions of two different
time coordinates. These integrals generalize the convolution integrals,
frequently used as a model for memory effects in the medium. Specifically, the
scattering problem for this system of equations is... (More) - This paper treats propagation of transient waves in non-stationary media,
which has many applications in e.g. electromagnetics and acoustics. The underlying
hyperbolic equation is a general, homogeneous, linear, first order 2×2
system of equations. The coefficients in this system depend only on one spatial
coordinate and time. Furthermore, memory effects are modeled by integral
kernels, which, in addition to the spatial dependence, are functions of two different
time coordinates. These integrals generalize the convolution integrals,
frequently used as a model for memory effects in the medium. Specifically, the
scattering problem for this system of equations is addressed. This problem is
solved by a generalization of the wave splitting concept, originally developed
for wave propagation in media which are invariant under time translations,
and by an imbedding or a Green functions technique. More explicitly, the
imbedding equation for the reflection kernel and the Green functions (propagator
kernels) equations are derived. Special attention is paid to the problem
of non-stationary characteristics. A few numerical examples illustrate this
problem. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/530250
- author
- Åberg, Ingegerd LU ; Kristensson, Gerhard LU and Wall, David LU
- organization
- publishing date
- 1994
- type
- Book/Report
- publication status
- published
- subject
- in
- Technical Report LUTEDX/(TEAT-7037)/1-27/(1994)
- pages
- 27 pages
- publisher
- [Publisher information missing]
- language
- English
- LU publication?
- yes
- additional info
- Published version: J. Math. Phys., 37(5), 2229-2252, 1996.
- id
- 298b488f-f72c-41e7-9d7e-44e1a9e7c39d (old id 530250)
- date added to LUP
- 2016-04-04 13:57:23
- date last changed
- 2018-11-21 21:17:25
@techreport{298b488f-f72c-41e7-9d7e-44e1a9e7c39d,
abstract = {{This paper treats propagation of transient waves in non-stationary media,<br/><br>
which has many applications in e.g. electromagnetics and acoustics. The underlying<br/><br>
hyperbolic equation is a general, homogeneous, linear, first order 2×2<br/><br>
system of equations. The coefficients in this system depend only on one spatial<br/><br>
coordinate and time. Furthermore, memory effects are modeled by integral<br/><br>
kernels, which, in addition to the spatial dependence, are functions of two different<br/><br>
time coordinates. These integrals generalize the convolution integrals,<br/><br>
frequently used as a model for memory effects in the medium. Specifically, the<br/><br>
scattering problem for this system of equations is addressed. This problem is<br/><br>
solved by a generalization of the wave splitting concept, originally developed<br/><br>
for wave propagation in media which are invariant under time translations,<br/><br>
and by an imbedding or a Green functions technique. More explicitly, the<br/><br>
imbedding equation for the reflection kernel and the Green functions (propagator<br/><br>
kernels) equations are derived. Special attention is paid to the problem<br/><br>
of non-stationary characteristics. A few numerical examples illustrate this<br/><br>
problem.}},
author = {{Åberg, Ingegerd and Kristensson, Gerhard and Wall, David}},
institution = {{[Publisher information missing]}},
language = {{eng}},
series = {{Technical Report LUTEDX/(TEAT-7037)/1-27/(1994)}},
title = {{Transient waves in non-stationary media}},
url = {{https://lup.lub.lu.se/search/files/6245582/624856.pdf}},
year = {{1994}},
}