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J Opt Soc Am A Opt Image Sci Vis. 2004 Mar;21(3):367-77. doi: 10.1364/josaa.21.000367.

Complex-wave retrieval from a single off-axis hologram.

Journal of the Optical Society of America. A, Optics, image science, and vision

Michael Liebling, Thierry Blu, Michael Unser

Affiliations

  1. Biomedical Imaging Group, Ecole Polytechnique Fédérale de Lausanne, Bâtiment de Microtechnique 4.127, CH-1015 Lausanne, Switzerland. [email protected]

PMID: 15005401 DOI: 10.1364/josaa.21.000367

Abstract

We present a new digital two-step reconstruction method for off-axis holograms recorded on a CCD camera. First, we retrieve the complex object wave in the acquisition plane from the hologram's samples. In a second step, if required, we propagate the wave front by using a digital Fresnel transform to achieve proper focus. This algorithm is sufficiently general to be applied to sophisticated optical setups that include a microscope objective. We characterize and evaluate the algorithm by using simulated data sets and demonstrate its applicability to real-world experimental conditions by reconstructing optically acquired holograms.

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