Closed-form solutions for one-dimensional inhomogeneous anisotropic medium in a special case. II. Inverse scattering problem

Author

Cui, Tie Jun ; Liang, Chang Hong ; Wiesbeck, Werner

Author_Institution

Dept. of Electromagn. Field Eng., Xidian Univ., Xi´´an, China

Volume

45

Issue

6

fYear

1997

fDate

6/1/1997 12:00:00 AM

Firstpage

942

Lastpage

948

Abstract

For pt. I see ibid., vol.45, no.5, p.936, 1997. An analytical method is presented for the inverse scattering problem of a one-dimensional (1-D) inhomogeneous anisotropic medium in a special case. Using the closed-form formulations for the reflection coefficients derived in the first part of this paper, reconstruction formulas are obtained for the wave impedance profiles, permittivity profiles or permeability profiles of the anisotropic medium, all of which are given in closed form. In the meantime, a partial inverse scattering method for the electric parameters at the interface of the medium with free space is also investigated by using a Wedtzel-Kramers-Brillouin (WKB) approximation. Numerical examples show the validity of the methods

Keywords

approximation theory; electric impedance; electromagnetic wave reflection; electromagnetic wave scattering; inverse problems; permeability; permittivity; Wedtzel-Kramers-Brillouin approximation; closed-form solutions; electric parameters; free space; interface; inverse scattering problem; one-dimensional inhomogeneous anisotropic medium; partial inverse scattering method; permeability profiles; permittivity profiles; reconstruction formulas; reflection coefficients; wave impedance profiles; Anisotropic magnetoresistance; Electromagnetic fields; Electromagnetic scattering; Equations; Impedance; Inverse problems; Nonuniform electric fields; Permeability; Permittivity; Reflection;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/8.585741

Filename

585741