Reconstruction and synthesis of reflecting diffraction gratings

The computational algorithm presented by Wombell and DeSanto (1991), the basic idea of which turns out to be reasonably universal with respect to numerically solvable inverse boundary value problems, can give rise to a large body of simple algorithms that are efficient both in the long wavelength and resonance frequency regions. A number of these potential applications are analyzed. A reflecting grating with an arbitrary profile (a classical object in wave scattering theory) is chosen as a model structure.