Diffraction grating profile reconstruction: Simple approaches to solving applied problems

R.J. Wombell and J.A.De Santo have presented in their paper (Wombell and De Santo, 1991) the computational scheme which implementation made possible sufficiently good reconstruction of one-dimensional rough-surface profile with small roughness when a single frequency and a single viewing angle are used. The basic idea of the method (quasilinearization of integral relations of potential theory) turns out to be reasonably universal with respect to numerically solvable inverse boundary value problems and can give rise a large body of simple algorithms being efficient both in long wavelength and resonance frequency regions. Certain of these potentialities are analyzed in our paper. Reflecting grating with an arbitrary profile (a classical object in wave scattering theory) has been chosen as a model structure.