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Propagation of transient electromagnetic waves in time-varying media - Direct and inverse scattering problems

Publiceringsår: 1994
Språk: Engelska
Sidor: 26
Publikation/Tidskrift/Serie: Technical Report LUTEDX/(TEAT-7030)/1-26/(1994)
Dokumenttyp: Rapport
Ytterligare information: Published version: Inverse Problems, 11(1), 29-49, 1995.


Wave propagation of transient electromagnetic waves in time-varying media
is considered. The medium, which is assumed to be inhomogeneous and dispersive,
lacks invariance under time translations. The spatial variation of
the medium is assumed to be in the depth coordinate, i.e., it is stratified.
The constitutive relations of the medium is a time integral of a generalized
susceptibility kernel and the field. The generalized susceptibility kernel depends
on one spatial and two time coordinates. The concept of wave splitting
is introduced. The direct and inverse scattering problems are solved by the
use of an imbedding or a Green functions approach. The direct and the inverse
scattering problems are solved for a homogeneous semi-infinite medium.
Explicit algorithms are developed. In this inverse scattering problem, a function
depending on two time coordinates is reconstructed. Several numerical
computations illustrate the performance of the algorithms.



  • Technology and Engineering



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