Sampling theorem: the cornerstone of discrete optics

Petre C. Logofatu; Victor Nascov

doi:10.1117/12.934818

1 November 2012 Sampling theorem: the cornerstone of discrete optics

Petre C. Logofatu, Victor Nascov

Proceedings Volume 8411, Advanced Topics in Optoelectronics, Microelectronics, and Nanotechnologies VI; 84110F (2012) https://doi.org/10.1117/12.934818
Event: Advanced Topics in Optoelectronics, Microelectronics, and Nanotechnologies 2012, 2012, Constanta, Romania

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.

Citation Download Citation

Petre C. Logofatu and Victor Nascov "Sampling theorem: the cornerstone of discrete optics", Proc. SPIE 8411, Advanced Topics in Optoelectronics, Microelectronics, and Nanotechnologies VI, 84110F (1 November 2012); https://doi.org/10.1117/12.934818

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