Profile reconstruction of periodic interface

Abstract

The reconstruction problem for periodic (arbitrary profiled within a period) boundary between two homogeneous media is considered. Our approach to the solution of the inverse problem is based on the Tikhonov regularization technique, which requires successive selection of the boundaries on the basis of multiple solutions of the direct problem of wave diffraction by the candidate boundaries. The analytical numerical C method has been chosen as a simple but rather efficient tool for the direct problem solving. The scheme for numerical tests of algorithms and criteria for reconstruction accuracy have been suggested and verified. Results of numerical experiments that prove the validity of the approach are presented.

Enlarging applicability domain of the C method with piecewise linear parameterization: gratings of deep and smooth profiles

“…5 Another approach is based on a regularization procedure, which decreases the condition number of the boundary condition matching equation and extends a little the range of solvable depth-to-period ratio. 6 For the integral method, parameterization using arc length along the grating profile is developed so that it can deal with deep gratings. 7,8 Some practical applications demand numerical simulation of deep and smooth gratings.…”