Wavefield imaging via iterative retrieval based on phase modulation diversity.

We present a fast and robust non-interferomentric wavefield retrieval approach suitable for imaging of both amplitude and phase distributions of scalar coherent beams. It is based on the diversity of the intensity measurements obtained under controlled astigmatism and it can be easily implemented in standard imaging systems. Its application for imaging in microscopy is experimentally studied. Relevant examples illustrate the approach capabilities for image super-resolution, numerical refocusing, quantitative imaging and phase mapping.

[1]  K. Nugent,et al.  Unique phase recovery for nonperiodic objects. , 2003, Physical review letters.

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

[3]  K. Nugent,et al.  Phase retrieval from images in the presence of first-order vortices. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[4]  J. Rodenburg,et al.  A phase retrieval algorithm for shifting illumination , 2004 .

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

[6]  Jun Q. Lu,et al.  Determination of complex refractive index of polystyrene microspheres from 370 to 1610 nm , 2003, Physics in medicine and biology.

[7]  M. Teague,et al.  Image formation in terms of the transport equation , 1984 .

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

[9]  E. Cuche,et al.  Cell refractive index tomography by digital holographic microscopy. , 2006, Optics letters.

[10]  Zeev Zalevsky,et al.  Synthetic aperture superresolved microscopy in digital lensless Fourier holography by time and angular multiplexing of the object information. , 2010, Applied optics.

[11]  J. Miao,et al.  Extending the methodology of X-ray crystallography to allow imaging of micrometre-sized non-crystalline specimens , 1999, Nature.

[12]  I. Yamaguchi,et al.  Image formation in phase-shifting digital holography and applications to microscopy. , 2001, Applied optics.

[13]  Garth J. Williams,et al.  Astigmatic phase retrieval: an experimental demonstration. , 2009, Optics express.

[14]  I. Yamaguchi,et al.  Phase-shifting digital holography. , 1997, Optics letters.

[15]  L J Allen,et al.  Astigmatic electron diffraction imaging: a novel mode for structure determination. , 2005, Acta crystallographica. Section A, Foundations of crystallography.

[16]  Zeev Zalevsky,et al.  Superresolution digital holographic microscopy for three-dimensional samples. , 2008, Optics express.

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

[18]  K. Nugent,et al.  Quantitative optical phase microscopy. , 1998, Optics letters.

[19]  Monika Ritsch-Marte,et al.  Quantitative SLM-based Differential Interference Contrast imaging. , 2010, Optics express.

[20]  Pavel Cheben,et al.  Characterization of holographically generated beams via phase retrieval based on Wigner distribution projections. , 2011, Optics express.

[21]  Fook Chiong Cheong,et al.  Strategies for three-dimensional particle tracking with holographic video microscopy. , 2010, Optics express.

[22]  C. Fang-Yen,et al.  Optical diffraction tomography for high resolution live cell imaging. , 2009, Optics express.

[23]  I D Nikolov,et al.  Optical plastic refractive measurements in the visible and the near-infrared regions. , 2000, Applied optics.

[24]  J. Rodrigo,et al.  Iterative Phase Retrieval from Wigner Distribution Projections , 2009 .

[25]  Zeev Zalevsky,et al.  Computation considerations and fast algorithms for calculating the diffraction integral , 1997 .

[26]  R G Paxman,et al.  Phase retrieval from experimental far-field speckle data. , 1988, Optics letters.

[27]  Zeev Zalevsky,et al.  Multi-stage phase retrieval algorithm based upon the gyrator transform. , 2010, Optics express.

[28]  M. Teague Deterministic phase retrieval: a Green’s function solution , 1983 .

[29]  J. Rodenburg,et al.  Movable aperture lensless transmission microscopy: a novel phase retrieval algorithm. , 2004, Physical review letters.

[30]  Yasuyuki Ichihashi,et al.  Numerical calculation library for diffraction integrals using the graphic processing unit: the GPU-based wave optics library , 2008 .

[31]  Munther A. Gdeisat,et al.  Fast two-dimensional phase-unwrapping algorithm based on sorting by reliability following a noncontinuous path. , 2002, Applied optics.

[32]  T. Petersen,et al.  Astigmatic intensity equation for electron microscopy based phase retrieval. , 2007, Ultramicroscopy.

[33]  E. Cuche,et al.  Digital holographic microscopy: a noninvasive contrast imaging technique allowing quantitative visualization of living cells with subwavelength axial accuracy. , 2005, Optics letters.

[34]  M Maarten Steinbuch,et al.  AN EXPERIMENTAL DEMONSTRATION OF NPID CONTROL WITH APPLICATION TO OPTICAL STORAGE DRIVES , 2005 .

[35]  U. Schnars Direct phase determination in hologram interferometry with use of digitally recorded holograms , 1994 .

[36]  G. Pedrini,et al.  Phase retrieval of arbitrary complex-valued fields through aperture-plane modulation , 2007 .