Profile inversion using the renormalized source-type integral equation approach

A novel and exact inversion equation is presented. If approximations are to be made they will occur in the numerical methods used in the solution of this inversion equation. This inversion approach is applicable to transverse electric (TE) and extensible to transverse magnetic (TM) polarization with no explicit frequency limitation. By prestoring the elements of the inversion operator, the method does not require the solution to the full forward problem repeatedly. It also allows, in some cases, the rigorous study of the degree of nonuniqueness involved in the inversion, a point of great importance in the design problem