Classical sampling theorem in digital holography
Konstantin A. Grebenyuk
Abstract
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Konstantin A. Grebenyuk
Abstract
Open-access reader
It is proposed to change the present paradigm of the sampling theorem, accepted in papers on digital holography, from 'when recording digital hologram, Nyquist criterion should be fulfilled' to 'when recording on-axis digital hologram, low-pass sampling theorem should be fulfilled, and when recording off-axis one, band-pass sampling theorem should be fulfilled'. Experimental and theoretical basis for this proposal is presented.
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It is proposed to change the present paradigm of the sampling theorem, accepted in papers on digital holography, from 'when recording digital hologram, Nyquist criterion should be fulfilled' to 'when recording on-axis digital hologram, low-pass sampling theorem should be fulfilled, and when recording off-axis one, band-pass sampling theorem should be fulfilled'. Experimental and theoretical basis for this proposal is presented.
Key concepts: Nyquist–Shannon sampling theorem, Sampling (signal processing), Holography, Digital holography, Computer science, Basis (linear algebra), Mathematics, Optics