High speed phase retrieval of in-line holograms by the assistance of corresponding off-axis holograms.

Retrieving correct phase information from an in-line hologram is difficult as the object wave field and the diffractions of the zero order and the conjugate object term overlap. The existing iterative numerical phase retrieval methods are slow, especially in the case of high Fresnel number systems. Conversely, the reconstruction of the object wave field from an off-axis hologram is simple, but due to the applied spatial frequency filtering the achievable resolution is confined. Here, a new, high-speed algorithm is introduced that efficiently incorporates the data of an auxiliary off-axis hologram in the phase retrieval of the corresponding in-line hologram. The efficiency of the introduced combined phase retrieval method is demonstrated by simulated and measured holograms.

[1]  C. T. Koch,et al.  Hybridization approach to in-line and off-axis (electron) holography for superior resolution and phase sensitivity , 2014, Scientific Reports.

[2]  E. Leith,et al.  Reconstructed Wavefronts and Communication Theory , 1962 .

[3]  Manfred H. Jericho,et al.  4-D imaging of fluid flow with digital in-line holographic microscopy , 2008 .

[4]  G. Pedrini,et al.  Whole optical wave field reconstruction from double or multi in-line holograms by phase retrieval algorithm. , 2003, Optics express.

[5]  Jeffrey A Fessler,et al.  Penalized-likelihood image reconstruction for digital holography. , 2004, Journal of the Optical Society of America. A, Optics, image science, and vision.

[6]  D Joyeux,et al.  Twin-image elimination in in-line holography of finite-support complex objects. , 1991, Optics letters.

[7]  S. Raupach Observation of Interference Patterns in Reconstructed Digital Holograms of Atmospheric Ice Crystals , 2009 .

[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]  Derek Tseng,et al.  Compact, light-weight and cost-effective microscope based on lensless incoherent holography for telemedicine applications. , 2010, Lab on a chip.

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

[11]  B Y Gu,et al.  Gerchberg-Saxton and Yang-Gu algorithms for phase retrieval in a nonunitary transform system: a comparison. , 1994, Applied optics.

[12]  Bahram Javidi,et al.  Real-Time 3-D Sensing, Visualization and Recognition of Dynamic Biological Microorganisms , 2006, Proceedings of the IEEE.

[13]  E. Cuche,et al.  Spatial filtering for zero-order and twin-image elimination in digital off-axis holography. , 2000, Applied optics.

[14]  A. Ozcan,et al.  Lensfree on-chip microscopy over a wide field-of-view using pixel super-resolution , 2010, Optics express.

[15]  James R. Fienup,et al.  Improved bounds on object support from autocorrelation support and application to phase retrieval , 1990 .

[16]  M. Piana,et al.  The use of constraints for solving inverse scattering problems: physical optics and the linear sampling method , 2005 .

[17]  Christian Depeursinge,et al.  Total aberrations compensation in digital holographic microscopy with a reference conjugated hologram. , 2006, Optics express.

[18]  Bahram Javidi,et al.  Space-bandwidth conditions for efficient phase-shifting digital holographic microscopy. , 2008, Journal of the Optical Society of America. A, Optics, image science, and vision.

[19]  Tomoyoshi Shimobaba,et al.  Band-limited angular spectrum method for numerical simulation of free-space propagation in far and near fields. , 2009, Optics express.

[20]  Michael Unser,et al.  A practical inverse-problem approach to digital holographic reconstruction. , 2013, Optics express.

[21]  Zeev Zalevsky,et al.  Synthetic aperture superresolution with multiple off-axis holograms. , 2006, Journal of the Optical Society of America. A, Optics, image science, and vision.

[22]  James R. Fienup,et al.  Phase-retrieval stagnation problems and solutions , 1986 .

[23]  László Orzó,et al.  Special multicolor illumination and numerical tilt correction in volumetric digital holographic microscopy. , 2014, Optics express.

[24]  A. M. Kowalczyk,et al.  Phase Retrieval for a Complex-Valued Object Using a Low-Resolution Image , 1990, Signal Recovery and Synthesis III.

[25]  J. Fienup,et al.  Phase retrieval with transverse translation diversity: a nonlinear optimization approach. , 2008, Optics express.

[26]  E. Cuche,et al.  Measurement of the integral refractive index and dynamic cell morphometry of living cells with digital holographic microscopy. , 2005, Optics express.

[27]  Pinhas Girshovitz,et al.  Doubling the field of view in off-axis low-coherence interferometric imaging , 2014, Light: Science & Applications.

[28]  V. Micó,et al.  Common-path phase-shifting digital holographic microscopy: A way to quantitative phase imaging and superresolution , 2008 .

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

[30]  Corinne Fournier,et al.  Twin-image noise reduction by phase retrieval in in-line digital holography , 2005, SPIE Optics + Photonics.

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