Resolution enhancement in digital holography by self-extrapolation of holograms.

It is generally believed that the resolution in digital holography is limited by the size of the captured holographic record. Here, we present a method to circumvent this limit by self-extrapolating experimental holograms beyond the area that is actually captured. This is done by first padding the surroundings of the hologram and then conducting an iterative reconstruction procedure. The wavefront beyond the experimentally detected area is thus retrieved and the hologram reconstruction shows enhanced resolution. To demonstrate the power of this concept, we apply it to simulated as well as experimental holograms.

[1]  Christoph Koch,et al.  Off-axis and in line electron holography: experimental comparison , 2010 .

[2]  T. Latychevskaia,et al.  Simultaneous reconstruction of phase and amplitude contrast from a single holographic record. , 2009, Optics express.

[3]  D. Gabor.  A New Microscopic Principle , 1948, Nature.

[4]  Peter Klages,et al.  Digital in-line holographic microscopy. , 2006, Applied optics.

[5]  Peter Klages,et al.  Digital in-line holographic microscopy. , 2006 .

[6]  T. Latychevskaia,et al.  When holography meets coherent diffraction imaging. , 2011, Optics express.

[7]  D. Gabor.  Microscopy by reconstructed wave-fronts , 1949, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[8]  W Xu,et al.  Digital in-line holography for biological applications , 2001, Proceedings of the National Academy of Sciences of the United States of America.

[9]  J R Fienup,et al.  Phase retrieval algorithms: a comparison. , 1982, Applied optics.

[10]  R. Gerchberg.  A practical algorithm for the determination of phase from image and diffraction plane pictures , 1972 .

[11]  T. Latychevskaia,et al.  Solution to the twin image problem in holography. , 2006, Physical review letters.