Title :
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
fDate :
5/1/1994 12:00:00 AM
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;
Journal_Title :
Antennas and Propagation, IEEE Transactions on
