Nonlinear differential equation for the reflection coefficient of a pure conducting medium and its novel inverse scattering solution

Author

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

Author_Institution

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

Volume

32

Issue

3

fYear

1994

fDate

5/1/1994 12:00:00 AM

Firstpage

709

Lastpage

712

Abstract

A nonlinear differential equation for the reflection coefficient of a pure conducting medium is derived by using a microwave networking technique, which can be approximately solved by a nonlinear renormalization method. From the renormalization solution of the reflection coefficient, a novel inverse scattering formula to the conductivity profile is further investigated in the closed form. Reconstruction examples show that the novel formula is more accurate than the results in D.B. Ge et al. (1991) and T.J. Cui et al. (1992)

Keywords

backscatter; geophysical techniques; inverse problems; nonlinear differential equations; radar cross-sections; remote sensing; remote sensing by radar; backscatter; closed form; electrical conductivity profile; geophysical measurement technique; inverse scattering formula; inverse scattering solution; land surface; microwave networking; nonlinear differential equation; nonlinear renormalization method; pure conducting medium; radar remote sensing; radar scattering; radiowave reflection; reflection coefficient; renormalization solution; Conductivity; Differential equations; Ear; Inverse problems; Microwave theory and techniques; Nonlinear equations; Optical reflection; Riccati equations; Scattering; Transmission lines;

fLanguage

English

Journal_Title

Geoscience and Remote Sensing, IEEE Transactions on

Publisher

ieee

ISSN

0196-2892

Type

jour

DOI

10.1109/36.297990

Filename

297990