Sheared-beam coherent image reconstruction

Statistics – Applications

Scientific paper

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Scientific paper

The resolution achievable in imaging objects in space from ground-based telescopes is limited by atmospheric turbulence. If enough naturally occurring illumination is available then speckle imaging techniques can be used to recover the original object phase using short exposure images. Analogous techniques exist for recovering the phase of a laser illuminated object from measurements of either the incoherent Fourier modulus or coherent Fourier modulus. In both cases many exposures are required to accumulate sufficient statistics. In the case of coherent illumination lack of a priori information concerning the object makes image reconstruction very difficult. In this paper we discuss one approach to circumventing these difficulties, in which multiple modulated laser beams are broadcast off of an object and the relative phase between the beams is measured at a simple light-bucket receiver. The original object phase is recovered from the phase differences using an iterative reconstructor.

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