Paper
28 February 2012 Off-axis digital holography: image reconstruction in case of Nyquist frequency excess
Konstantin A. Grebenyuk, Anton A. Grebenyuk, Vladimir P. Ryabukho
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Abstract
When recording holograms with a digital image sensor, the sampling theorem is to be fulfilled. This requirement limits possible values of the angle between the object and reference waves. However there is a theoretical possibility of reconstruction of finite-sized object image, even when spatial frequencies of hologram structure are above the Nyquist limit. In this paper such a possibility is experimentally verified and investigated by example of lensless Fourier transform digital holography. It is shown, that excess of the Nyquist frequency by spatial frequencies of the hologram structure does not necessarily lead to object image disappearance. However, it leads to gradual degradation of the object image.
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Konstantin A. Grebenyuk, Anton A. Grebenyuk, and Vladimir P. Ryabukho "Off-axis digital holography: image reconstruction in case of Nyquist frequency excess", Proc. SPIE 8337, Saratov Fall Meeting 2011: Optical Technologies in Biophysics and Medicine XIII, 833708 (28 February 2012); https://doi.org/10.1117/12.924087
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KEYWORDS
3D image reconstruction

Digital holography

Holograms

Spatial frequencies

Sensors

Diffraction

Fourier transforms

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