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Transient waves in non-stationary media

Publiceringsår: 1994
Språk: Engelska
Publikation/Tidskrift/Serie: Technical Report LUTEDX/(TEAT-7037)/1-27/(1994)
Dokumenttyp: Rapport
Förlag: [Publisher information missing]


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



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


  • Electromagnetic theory-lup-obsolete

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