Phase-shifting digital holographic microscopy with an iterative blind reconstruction algorithm.

In phase-shifting digital holographic microscopy (PS-DHM), the reconstructed phase map is obtained after processing several holograms of the same scene with a phase shift between them. Most of the reconstruction algorithms in PS-DHM require an accurate and known phase shift between the recorded holograms. This requirement limits the applicability of the method. To ease the use of PS-DHM, this paper presents an iterative-blind phase shift extraction method based on demodulation of the different components of the recorded holograms. The method uses a DHM system operating in a slightly off-axis architecture. The proposed method uses three-frame holograms with arbitrary and unequal phase shifts between them and therefore eases the use of the PS-DHM. We believe both simulated and experimental results demonstrate the goodness and feasibility of the proposed technique.

[1]  J. Wang,et al.  Simultaneous extraction of phase and phase shift from two interferograms using Lissajous figure and ellipse fitting technology with Hilbert–Huang prefiltering , 2016 .

[2]  Pierre Slangen,et al.  Nematic liquid crystals light valve: application to phase shifting speckle interferometry , 2007, SPIE Optical Metrology.

[3]  C. Sheppard,et al.  Geometric phase-shifting for low-coherence interference microscopy , 2002 .

[4]  Zeev Zalevsky,et al.  Superresolved common-path phase-shifting digital inline holographic microscopy using a spatial light modulator. , 2012, Optics letters.

[5]  Hongchen Zhai,et al.  Phase-shift extraction algorithm for blind phase-shifting holography based on the quotient of inner products , 2017 .

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

[7]  K. Creath.  V Phase-Measurement Interferometry Techniques , 1988 .

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

[9]  Cruz Meneses-Fabian,et al.  Self-calibrating phase-shifting interferometry of three unequal phase steps by fitting background light to a polynomial of degree K. , 2017, Applied optics.

[10]  Cruz Meneses-Fabian,et al.  Phase-shifting interferometry based on the lateral displacement of the light source. , 2013, Optics express.

[11]  José A. Ferrari,et al.  Optimal phase-shifting algorithm for interferograms with arbitrary steps and phase noise , 2019 .

[12]  Qiaofeng Tan,et al.  Application of the blind signal separation method for phase-shifting interferometry with random phase shifts , 2013, Other Conferences.

[13]  Y. R. Wang,et al.  Generalized phase-shifting interferometry with arbitrary unknown phase shifts: Direct wave-front reconstruction by blind phase shift extraction and its experimental verification , 2007 .

[14]  Pietro Ferraro,et al.  Wave front reconstruction of Fresnel off-axis holograms with compensation of aberrations by means of phase-shifting digital holography , 2002 .

[15]  Jorge Garcia-Sucerquia,et al.  Accurate single-shot quantitative phase imaging of biological specimens with telecentric digital holographic microscopy , 2014, Journal of biomedical optics.

[16]  Pedro Andrés,et al.  Shift-variant digital holographic microscopy: inaccuracies in quantitative phase imaging. , 2013, Optics letters.

[17]  L Z Cai,et al.  Fast blind extraction of arbitrary unknown phase shifts by an iterative tangent approach in generalized phase-shifting interferometry. , 2006, Optics letters.

[18]  Ana Doblas,et al.  Off-axis digital holographic microscopy: practical design parameters for operating at diffraction limit. , 2014, Applied optics.

[19]  Yingjie Yu,et al.  Blind phase shift estimation in phase-shifting interferometry. , 2007, Journal of the Optical Society of America. A, Optics, image science, and vision.