Phase shift steps extraction and phase shift error correction in partially coherent illuminated phase-shifting digital holography

An algorithm is proposed for extraction of the unknown phase shift steps and correction of the phase shift error in partially coherent illuminated phase-shifting digital holography. The mean contrast of noise (MCN) of the reconstructed amplitude image is developed to evaluate the noise level resulting from phase shift error. Actual phase shift steps are first extracted by minimizing the MCN. Then the extracted actual phase shift steps are used to retrieve the original object wave without phase shift error. The validity of the proposed method is verified by simulations, and then implemented in partially coherent illuminated phase-shifting digital holography where a spatial light modulator with unknown phase modulation characteristic is used as the phase shifter. The results demonstrated that the actual phase shift steps can be extracted and the phase shift error is corrected effectively.

[1]  F. bai,et al.  Modified Fourier-transform method for phase-shift calibration , 2011 .

[2]  Giancarlo Pedrini,et al.  Short-coherence digital microscopy by use of a lensless holographic imaging system. , 2002, Applied optics.

[3]  Masahiro Akiba,et al.  Real-Time, Micrometer Depth-Resolved Imaging by Low-Coherence Reflectometry and a Two-Dimensional Heterodyne Detection Technique , 2000 .

[4]  G Indebetouw,et al.  Imaging through scattering media with depth resolution by use of low-coherence gating in spatiotemporal digital holography. , 2000, Optics letters.

[5]  Francisco Palacios,et al.  3D image reconstruction of transparent microscopic objects using digital holography , 2005 .

[6]  Q. Ren,et al.  Evaluation of spectrometric parameters in spectral-domain optical coherence tomography. , 2011, Applied optics.

[7]  Michael Lurie.  Effects of Partial Coherence on Holography with Diffuse Illumination , 1966 .

[8]  A. Fercher,et al.  Performance of fourier domain vs. time domain optical coherence tomography. , 2003, Optics express.

[9]  Wooyoung Jang,et al.  Complex wavefront shaping for optimal depth-selective focusing in optical coherence tomography. , 2013, Optics express.

[10]  P Seitz,et al.  Video-rate optical low-coherence reflectometry based on a linear smart detector array. , 2000, Optics letters.

[11]  Tomi Pitkäaho,et al.  Partially coherent digital in-line holographic microscopy in characterization of a microscopic target. , 2014, Applied optics.

[12]  Paul Taylor,et al.  Multiphase fringe analysis with unknown phase shifts , 1994 .

[13]  Jun-Won An,et al.  A Hybrid Algorithm to Reduce the Computation Time of Genetic Algorithm for Designing Binary Phase Holograms , 2003 .

[14]  T. Yatagai,et al.  Generalized phase-shifting interferometry , 1991 .

[15]  Guy Indebetouw,et al.  Space–time digital holography: A three-dimensional microscopic imaging scheme with an arbitrary degree of spatial coherence , 1999 .

[16]  R. Kowarschik,et al.  Combination of the resolution enhancing image inversion microscopy with digital holography , 2013 .

[17]  Yi-Yan Xie,et al.  Zero difference algorithm for phase shift extraction in blind phase-shifting holography. , 2014, Optics letters.

[18]  A. Boccara,et al.  High-resolution full-field optical coherence tomography with a Linnik microscope. , 2002, Applied optics.

[19]  Hao Chen,et al.  Quantitative evaluation of spatial phase light modulator characteristics in Fresnel incoherent correlation holography , 2012, Photonics Asia.

[21]  B. Gutmann,et al.  Phase-shifter calibration and error detection in phase-shifting applications: a new method. , 1998, Applied optics.

[22]  S. W. Kim,et al.  Numerical correction of reference phases in phase-shifting interferometry by iterative least-squares fitting. , 1994, Applied optics.

[24]  Nobuo Nishida,et al.  Phase-shifting digital holography with a low-coherence light source for reconstruction of a digital relief object hidden behind a light-scattering medium. , 2006, Applied optics.

[25]  Andrea Carolina Monaldi,et al.  Digital holographic microscopy for detection of Trypanosoma cruzi parasites in fresh blood mounts , 2012 .

[26]  Joseph A. Izatt,et al.  Full-field swept-source phase microscopy , 2006 .

[27]  Ichirou Yamaguchi,et al.  Phase-shifting digital holography , 1997 .

[28]  X Chen,et al.  Phase-shifting interferometry with uncalibrated phase shifts. , 2000, Applied optics.

[29]  M. Akiba,et al.  Full-field optical coherence tomography by two-dimensional heterodyne detection with a pair of CCD cameras. , 2003, Optics letters.