## Abstract

Recent progress in coherent and incoherent optical inverse-scattering problems is reviewed with emphasis on the construction of grating-groove profiles from known or desired diffraction efficiencies and the detection of phase gratings hidden by diffusers using optical correlation techniques. Retrieval and synthesis problems and the role of coherence are described. The coherent grating-profile reconstruction is revisited in terms of the full mathematical description of our previous procedure. The crucial role of prior phase information for uniqueness of the reconstruction is elucidated. The theoretical prediction and experimental verification of a provoking coherence effect are presented: The signature of a hidden phase grating can be seen in the far-zone coherence function but not in the far-zone intensity for a certain range of ratios of the diffuser correlation length to the grating period.

© 1986 Optical Society of America

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