title: Direct exit-wave reconstruction from a single defocused image.
abstract: We propose a direct, non-iterative method for the exact recovery of the complex wave in the exit-surface plane of a coherently illuminated object from a single defocused image. The method is applicable for a wide range of illumination conditions. The defocus range is subject to certain conditions, which if satisfied allow the complex exit-surface wave to be directly recovered by solving a set of linear equations. These linear equations, whose coefficients depend on the incident illumination, are obtained by analyzing the autocorrelation function of an auxiliary wave which is related to the exit-surface wave in a simple way. This autocorrelation is constructed by taking the inverse Fourier transform of the defocused image. We present an experimental proof of concept by recovering the exit-surface wave of a microfiber illuminated by a plane wave formed using a HeNe laser.
authors.affiliation: School of Physics, University of Melbourne, Parkville, Victoria, Australia.
authors.forename: A J
authors.initials: AJ
authors.lastname: Morgan
authors.forename: A V
authors.initials: AV
authors.lastname: Martin
authors.forename: A J
authors.initials: AJ
authors.lastname: D'Alfonso
authors.forename: C T
authors.initials: CT
authors.lastname: Putkunz
authors.forename: L J
authors.initials: LJ
authors.lastname: Allen
mesh_terms: D003952:Diagnostic Imaging / Q000379:methods*; D005583:Fourier Analysis; D007091:Image Processing, Computer-Assisted / Q000379:methods*; D008029:Lighting; D019906:Nuclear Magnetic Resonance, Biomolecular