"The source problem" - Transient waves propagating from internal sources in non-stationary media
Author
Summary, in English
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.
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.
Publishing year
1995
Language
English
Publication/Series
Technical Report LUTEDX/(TEAT-7044)/1-29/(1995)
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Document type
Report
Publisher
[Publisher information missing]
Topic
- Other Electrical Engineering, Electronic Engineering, Information Engineering
- Electrical Engineering, Electronic Engineering, Information Engineering
Status
Published
Report number
TEAT-7044
Research group
- Electromagnetic theory