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

fYear

1993

fDate

June 28 1993-July 2 1993

Firstpage

528

Abstract

Nonlinear differential equations for the reflection coefficients of an inhomogeneous lossy medium illuminated by both TE (transverse electric)-polarized and TM (transverse magnetic)-polarized electromagnetic plane waves are derived by 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 investigated in closed forms. Further investigations show that under the lossless condition the results presented here will reduce to those of H. D. Ladouceur and A. K. Jordan (1985) and D. L. Jaggard and Y. Kim (1985).<>

Keywords

electrical conductivity; electromagnetic wave reflection; electromagnetic wave scattering; equivalent circuits; inverse problems; nonlinear differential equations; permittivity; renormalisation; conductivity profile; electromagnetic plane waves; equivalent microwave network; inhomogeneous lossy medium; inverse scattering solutions; nonlinear differential equation; nonlinear renormalization; permittivity profile discontinuity; reflection coefficients; Boundary conditions; Differential equations; Microwave theory and techniques; Nonlinear equations; Permittivity; Reflection; Scattering parameters; Tellurium; Transmission line theory;

fLanguage

English

Publisher

ieee

Conference_Titel

Antennas and Propagation Society International Symposium, 1993. AP-S. Digest

Conference_Location

Ann Arbor, MI, USA

Print_ISBN

0-7803-1246-5

Type

conf

DOI

10.1109/APS.1993.385291

Filename

385291