title: Phase reconstruction from undersampled intensity patterns.
abstract: We demonstrate the uniqueness and convergence of phase recovery from high-spatial-frequency and undersampled intensity data. Furthermore, this is accomplished without the ambiguities that arise in phase unwrapping and without the need to employ a priori information. The method incorporates the technique of line integration of the phase gradient to find the first approximation to the phase and the algorithm of synthetic interferograms to find the unknown phase with high accuracy. The method may be used with any experimental method that at a certain data processing step obtains generalized sine and cosine intensity functions.
authors.affiliation: Centro de Investigaciones en Optica Apartado, Leon, Guanajuato, Mexico. gpaez@foton.cio.mx
authors.forename: G
authors.initials: G
authors.lastname: Paez
authors.forename: M
authors.initials: M
authors.lastname: Strojnik
mesh_terms: D000465:Algorithms; D007368:Interferometry; D008962:Models, Theoretical; D055095:Optics and Photonics