Xw. Shi et Cg. Liang, A GENERALIZED GELFAND-LAVITAN EQUATION FOR PURELY CONDUCTING LAYERED MEDIA WITH APPLICATIONS, Microwave and optical technology letters, 6(10), 1993, pp. 585-587
The conductivity profile inversion for purely conducting media is stud
ied. Presently, some approximation inversion formulations are given fo
r this problem. In this Letter, a generalized Gel'fand-Lavitan equatio
n is given for exact inversion. Like the famous GL equation, the gener
alized GL equation is exactly solvable when the reflection coefficient
is a rational function. Reconstruction examples are also given. (C) 1
993 John Wiley & Sons, Inc.