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Direct and inverse scattering in the time domain for a dissipative wave equation. Part 4: Use of phase velocity mismatches to simplify inversions

Author

Summary, in English

For pt.III see J. Math. Phys., vol.28, p.260 (1987). The one-dimensional inverse scattering problem is considered for lossy inhomogeneous media for the case in which the phase velocities at the two boundaries of the scatterer do not match that of the host medium. The model problem involves electromagnetic wave propagation in a medium of unknown thickness with spatially varying permittivity and conductivity. An inversion algorithm which is capable of simultaneously reconstructing both the permittivity and conductivity is derived and tested numerically. It is shown that the discontinuity in phase velocity simplifies the data requirements for the inverse problem in that only one scattering experiment needs to be performed, rather than two. The input data for the inversion algorithm consist of a finite time trace of the reflected field or, alternatively, portions of the reflected and transmitted fields.

Publishing year

1989

Language

English

Pages

375-388

Publication/Series

Inverse Problems

Volume

5

Issue

3

Document type

Journal article

Publisher

IOP Publishing

Topic

  • Electrical Engineering, Electronic Engineering, Information Engineering

Status

Published

ISBN/ISSN/Other

  • ISSN: 0266-5611