Nonlinear differential equation for the reflection coefficient of an inhomogeneous lossy medium and its inverse scattering solutions

Author

Cui, T.J. ; Liang, C.H.

Author_Institution

Dept. Microwave Telecommun. Eng., Xidian Univ., Xi´´an, China

Volume

42

Issue

5

fYear

1994

fDate

5/1/1994 12:00:00 AM

Firstpage

621

Lastpage

626

Abstract

Nonlinear differential equations for the reflection coefficients of an inhomogeneous lossy medium illuminated by both TE-polarized and TM-polarized electromagnetic plane waves are derived using a microwave networking technique, which can be approximately solved by a nonlinear renormalization method. Considering the equivalent microwave network of the permittivity profile discontinuity at the interface of free space with the medium, two novel inverse scattering solutions for the permittivity profile and the conductivity profile are further investigated in closed forms. Closed-form and numerical reconstruction examples show the availability of this scheme

Keywords

electromagnetic wave polarisation; electromagnetic wave reflection; electromagnetic wave scattering; inverse problems; microwave circuits; network analysis; nonlinear differential equations; permittivity; renormalisation; TE-polarized waves; TM-polarized waves; closed-form reconstruction; conductivity profile; electromagnetic plane waves; free space; inhomogeneous lossy medium; inverse scattering solutions; microwave networking technique; nonlinear differential equation; nonlinear renormalization method; numerical reconstruction; permittivity profile discontinuity; reflection coefficient; Conductivity; Dielectric losses; Differential equations; Electromagnetic reflection; Electromagnetic scattering; Inverse problems; Microwave theory and techniques; Nonlinear equations; Permittivity; Transmission lines;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/8.299560

Filename

299560