Title :
Application of the multilevel single-linkage method to one-dimensional electromagnetic inverse scattering problem
Author :
Nakhkash, Mansor ; Huang, Yi ; Fang, Michael T C
Author_Institution :
Dept. of Electr. Eng. & Electron., Liverpool Univ., UK
fDate :
11/1/1999 12:00:00 AM
Abstract :
An inverse scattering method for the reconstruction of the permittivity and conductivity profiles of a multilayered medium and for that of the impedance profile of a nonuniform transmission line is proposed. The inversion is based on the global minimization of an objective function by the multilevel single-linkage method. The objective function is defined as the mean-square error between the measured data and the data obtained from the solution of the forward problem. An exact formulation for the gradient of the objective function in closed form is derived. The necessary condition for the unique solution of the inverse problem of a nonuniform transmission line is discussed. Reconstruction examples using both experimental and noisy synthetic data are presented
Keywords :
electric impedance; electromagnetic wave scattering; inhomogeneous media; inverse problems; mean square error methods; permittivity; signal reconstruction; transmission line theory; transmission lines; 1D inverse EM scattering problem; closed form expression; conductivity profile reconstruction; exact formulation; experimental data; forward problem solution; global minimization; impedance profile; mean-square error; measured data; multilayered medium; multilevel single-linkage method; necessary condition; noisy synthetic data; nonuniform transmission line; objective function gradient; permittivity profile reconstruction; reflection coefficient; Conductivity; Distributed parameter circuits; Electromagnetic scattering; Impedance; Inverse problems; Nonhomogeneous media; Optimization methods; Permittivity measurement; Pollution measurement; Transmission line measurements;
Journal_Title :
Antennas and Propagation, IEEE Transactions on
