Practical algorithms for simulation and reconstruction of digital in-line holograms.

Here we present practical methods for simulation and reconstruction of in-line digital holograms recorded with plane and spherical waves. The algorithms described here are applicable to holographic imaging of an object exhibiting absorption as well as phase-shifting properties. Optimal parameters, related to distances, sampling rate, and other factors for successful simulation and reconstruction of holograms are evaluated and criteria for the achievable resolution are worked out. Moreover, we show that the numerical procedures for the reconstruction of holograms recorded with plane and spherical waves are identical under certain conditions. Experimental examples of holograms and their reconstructions are also discussed.

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

[2]  J. Goodman.  Introduction to Fourier optics , 1969 .

[3]  Ichirou Yamaguchi,et al.  Algorithm for reconstruction of digital holograms with adjustable magnification. , 2004, Optics letters.

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

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

[6]  J. Kirz,et al.  Biological imaging by soft x-ray diffraction microscopy , 2005, Proceedings of the National Academy of Sciences of the United States of America.

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

[8]  G. Pedrini,et al.  High-fidelity numerical realization of multiple-step Fresnel propagation for the reconstruction of digital holograms. , 2008, Applied optics.

[9]  J A Ratcliffe,et al.  Investigation of molecular motions in supercooled liquids by Mossbauer scattering D C Champeney and F W D Woodhams Some Aspects of Diffraction Theory and their Application to the Ionosphere , 1956 .

[10]  E. Abbe,et al.  VII.—On the Estimation of Aperture in the Microscope. , 1881 .

[11]  F. Hussain,et al.  In-line recording and off-axis viewing technique for holographic particle velocimetry. , 1995, Applied optics.

[12]  Abbe.  The Relation of Aperture and Power in the Microscope , 1882 .

[13]  S. Marchesini,et al.  High-resolution ab initio three-dimensional x-ray diffraction microscopy. , 2005, Journal of the Optical Society of America. A, Optics, image science, and vision.

[14]  Charles Hockin,et al.  On the Estimation of Aperture in the Microscope , 1884 .

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

[16]  Werner Jüptner,et al.  Digital recording and numerical reconstruction of holograms , 2002 .

[17]  W. Bragg.  Microscopy by Reconstructed Wave-fronts , 1950, Nature.

[18]  Thomas J. Naughton,et al.  Reconstruction algorithms applied to in-line Gabor digital holographic microscopy , 2010 .