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Proceedings Paper

Sampling theorem: the cornerstone of discrete optics
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Paper Abstract

The sampling theorem can be described as a economic way of representing a limited bandwidth function. A sample of points is chosen and an interpolation function of these points is used to represent the function. The great importance of this fact is that paves the way to discrete computation. The sample points act as a sort of “highlight” points of the original function, and computation involving the entire function may be restricted to calculation using only the sample points. Moreover we were able to find some refining of the classical outline of the sampling theorem that improves its precision bringing also some physical insight into the core of the theorem. Of course also these consideration are not restricted to optics, they can be construed as general properties of the signal theory. But we were optically minded at all times and most of the applications are in optics.

Paper Details

Date Published: 1 November 2012
PDF: 8 pages
Proc. SPIE 8411, Advanced Topics in Optoelectronics, Microelectronics, and Nanotechnologies VI, 84110F (1 November 2012); doi: 10.1117/12.934818
Show Author Affiliations
Petre C. Logofatu, National Institute for Lasers, Plasma and Radiation Physics (Romania)
Victor Nascov, National Institute for Lasers, Plasma and Radiation Physics (Romania)


Published in SPIE Proceedings Vol. 8411:
Advanced Topics in Optoelectronics, Microelectronics, and Nanotechnologies VI
Paul Schiopu; Razvan Tamas, Editor(s)

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