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      Direct phase retrieval in double blind Fourier holography.

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          Abstract

          Phase measurement is a long-standing challenge in a wide range of applications, from X-ray imaging to astrophysics and spectroscopy. While in some scenarios the phase is resolved by an interferometric measurement, in others it is reconstructed via numerical optimization, based on some a-priori knowledge about the signal. The latter commonly use iterative algorithms, and thus have to deal with their convergence, stagnation, and robustness to noise. Here we combine these two approaches and present a new scheme, termed double blind Fourier holography, providing an efficient solution to the phase problem in two dimensions, by solving a system of linear equations. We present and experimentally demonstrate our approach for the case of lens-less imaging.

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          Author and article information

          Journal
          Opt Express
          Optics express
          1094-4087
          1094-4087
          Oct 20 2014
          : 22
          : 21
          Article
          301953
          25401527

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