Improved-resolution digital holography using the generalized sampling theorem for locally band-limited fields

Journal of the Optical Society of America. A, Optics, Image Science, and Vision
Adrian Stern, Bahram Javidi

Abstract

We describe the recording conditions that, together with the appropriate numerical reconstruction process, permit high-lateral-resolution reconstruction of in-line digital holograms. By high resolution, we mean a resolution that is beyond the Nyquist frequency, which is achieved by common methods. The proposed method is based on a previously reported generalized sampling theory that presents the conditions to precisely reconstruct fields that in certain cases may be sampled with a sampling rate lower than the Nyquist rate. We examine the hologram-recording process in the Wigner space. On the basis of this analysis, we demonstrate a simple high-resolution numerical reconstruction method.

References

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Aug 3, 2002·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Peter B Catrysse, Brian A Wandell
Mar 10, 2004·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Adrian Stern, Bahram Javidi
Dec 8, 2007·Optics Letters·B Javidi, E Tajahuerce
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Citations

Jan 9, 2007·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Levent Onural
Apr 4, 2014·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Damien P Kelly
Nov 28, 2008·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Martin JandaLevent Onural
May 20, 2015·Journal of Biomedical Optics·Morteza KhaleghiJohn J Rosowski
Dec 14, 2006·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Adrian Stern, Bahram Javidi
Jan 8, 2013·Applied Optics·Damien P Kelly, Daniel Claus
Aug 6, 2010·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Corinne FournierThierry Fournel
Nov 12, 2020·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Wenhui ZhangGuofan Jin

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