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Linearized electromagnetic inversion of inhomogeneous media with dispersion

Neil V Budko

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A frequency-domain inverse scattering problem for inhomogeneous media with spatially varying dispersion characteristics is considered. The standard classical dispersion law for an isotropic semi-conducting dielectric is presented in a generalized form with frequency and spatial dependencies separated. Subsequent discretization in the dispersion parameters space allows for an efficient multi-source, multi-frequency formulation of the problem. Numerical examples of two-dimensional linearized inversion in the neighbourhood of absorption lines and for media with relaxation are presented.


PACS

02.30.Zz Inverse problems

41.20.-q Applied classical electromagnetism

MSC

78A46 Inverse scattering problems

Subjects

Mathematical physics

Accelerators, beams and electromagnetism

Dates

Issue 6 (December 2002)

Received 13 May 2001, in final form 12 September 2002

Published 10 October 2002



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