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Transient waves in non-stationary media

Author

Summary, in English

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.

Publishing year

1994

Language

English

Publication/Series

Technical Report LUTEDX/(TEAT-7037)/1-27/(1994)

Document type

Report

Publisher

[Publisher information missing]

Topic

  • Other Electrical Engineering, Electronic Engineering, Information Engineering
  • Electrical Engineering, Electronic Engineering, Information Engineering

Status

Published

Research group

  • Electromagnetic theory