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Proceedings Paper

Iterative Fourier transform algorithm: different approaches to diffractive optical element design
Author(s): Marek Skeren; Ivan Richter; Pavel Fiala
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Paper Abstract

This contribution focuses on the study and comparison of different design approaches for designing phase-only diffractive optical elements (PDOEs) for different possible applications in laser beam shaping. Especially, new results and approaches, concerning the iterative Fourier transform algorithm, are analyzed, implemented, and compared. Namely, various approaches within the iterative Fourier transform algorithm (IFTA) are analyzed for the case of phase-only diffractive optical elements with quantizied phase levels (either binary or multilevel structures). First, the general scheme of the IFTA iterative approach with partial quantization is briefly presented and discussed. Then, the special assortment of the general IFTA scheme is given with respect to quantization constraint strategies. Based on such a special classification, the three practically interesting approaches are chosen, further-analyzed, and compared to eachother. The performance of these algorithms is compared in detail in terms of the signal-to-noise ratio characteristic developments with respect to the numberof iterations, for various input diffusive-type objects chose. Also, the performance is documented on the complex spectra developments for typical computer reconstruction results. The advantages and drawbacks of all approaches are discussed, and a brief guide on the choice of a particular approach for typical design tasks is given. Finally, the two ways of amplitude elimination within the design procedure are considered, namely the direct elimination and partial elimination of the amplitude of the complex hologram function.

Paper Details

Date Published: 24 October 2002
PDF: 14 pages
Proc. SPIE 4770, Laser Beam Shaping III, (24 October 2002); doi: 10.1117/12.451643
Show Author Affiliations
Marek Skeren, Czech Technical Univ. of Prague (Czech Republic)
Ivan Richter, Czech Technical Univ. of Prague (Czech Republic)
Pavel Fiala, Czech Technical Univ. of Prague (Czech Republic)

Published in SPIE Proceedings Vol. 4770:
Laser Beam Shaping III
Fred M. Dickey; Scott C. Holswade; David L. Shealy, Editor(s)

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