Iterative Fourier transform algorithm: different approaches to diffractive optical element design

Marek Skeren; Ivan Richter; Pavel Fiala

doi:10.1117/12.451643

24 October 2002 Iterative Fourier transform algorithm: different approaches to diffractive optical element design

Marek Skeren, Ivan Richter, Pavel Fiala

Proceedings Volume 4770, Laser Beam Shaping III; (2002) https://doi.org/10.1117/12.451643
Event: International Symposium on Optical Science and Technology, 2002, Seattle, WA, United States

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.

Citation Download Citation

Marek Skeren, Ivan Richter, and Pavel Fiala "Iterative Fourier transform algorithm: different approaches to diffractive optical element design", Proc. SPIE 4770, Laser Beam Shaping III, (24 October 2002); https://doi.org/10.1117/12.451643

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