Diffraction and holography from a signal processing perspective

Levent Onural; Haldun M. Ozaktas

doi:10.1117/12.677051

9 June 2006 Diffraction and holography from a signal processing perspective

Levent Onural, Haldun M. Ozaktas

Proceedings Volume 6252, Holography 2005: International Conference on Holography, Optical Recording, and Processing of Information; 625219 (2006) https://doi.org/10.1117/12.677051
Event: Holography 2005: International Conference on Holography, Optical Recording, and Processing of Information, 2005, Varna, Bulgaria

Abstract

The fact that plane waves are solutions of the Helmholtz equation in free space allows us to write the exact solution to the diffraction problem as a superposition of plane waves. The solution of other related problems can also be expressed in similar forms. These forms are very well suited for directly importing various signal processing tools to diffraction related problems. Another signal processing-diffraction link is the application of novel sampling theorems and procedures in signal processing to diffraction for the purpose of more convenient and efficient discrete representation and the use of associated computational algorithms. Another noteworthy link between optics and signal processing is the fractional Fourier transform. Revisiting diffraction from a modern signal processing perspective is likely to yield both interesting viewpoints and improved techniques.

Citation Download Citation

Levent Onural and Haldun M. Ozaktas "Diffraction and holography from a signal processing perspective", Proc. SPIE 6252, Holography 2005: International Conference on Holography, Optical Recording, and Processing of Information, 625219 (9 June 2006); https://doi.org/10.1117/12.677051

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