Journal
OPTICS COMMUNICATIONS
Volume 267, Issue 2, Pages 347-355Publisher
ELSEVIER
DOI: 10.1016/j.optcom.2006.06.060
Keywords
Gerchberg-Saxton algorithm; iterative Fourier transform algorithm; diffractive optics; beam shaping; pulse shaping; phase retrieval; image reconstruction
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A modified Gerchberg-Saxton algorithm, which we call symmetrical iterative Fourier transform algorithm, is presented and employed to a series of super-Gaussian beam shaping problems and arbitrary beam shaping problems. The main features of this algorithm include (1) using an amplitude-symmetric function of the failed result about the Fourier-domain constraint; (2) using both phase and amplitude freedoms in the iteration process, i.e. the noise produced outside the signal window by each iteration is kept. A formula is given to determine a critical constant in the search for the amplitude-symmetric function. The new method results in highly efficient solutions with highly precise beam profiles in the signal window for all the test problems. (c) 2006 Elsevier B.V. All rights reserved.
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