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Proceedings Paper

Holographic Coordinate Transformations And Optical Computing
Author(s): Harold Szu
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Paper Abstract

The alignment problem among an object o (7), the OFT lens and a phase hologram exp(iφ(r)) is investigated for holographic coordinate transformations, both theoretically and numerically, using FFT replacing OFT for two interesting examples in human visual systems. The optimum alignment is found to be at a specific saddle point r = r0 of the phase hologram defined by Δφ(r0)= k = 0 and Δ2φ = 0 where the OFT lens axis k = 0 (D.C.) and the object origin r = 0 must be overlayed. The result of such a D.C.-saddle point alignment can be understood in terms of the minimization of high order (cubic and above) contributions of the Fourier phase integral from a general viewpoint of a stationary phase approximation.

Paper Details

Date Published: 13 February 1986
PDF: 5 pages
Proc. SPIE 0634, Optical and Hybrid Computing, (13 February 1986); doi: 10.1117/12.964033
Show Author Affiliations
Harold Szu, Naval Research Laboratory (United States)

Published in SPIE Proceedings Vol. 0634:
Optical and Hybrid Computing
Harold H. Szu, Editor(s)

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