Intensity based self-imaging

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Date

2010

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Publisher

OSA - The Optical Society

Abstract

We propose an iterative method to optimize the phase profile of the initial field so that its intensity profile is observed periodically along the longitudinal (propagation) axis. The new method is inspired from the Gerchberg-Saxton technique, where the Fresnel transform is used, instead of the Fourier transform, for retrieving the phase profile of several light distributions (for example, 15 planes), instead of a Fourier pair of distributions. The additional challenge, with respect to the conventional Gerchberg-Saxton technique, is that the planes where constraints are applied number more than two. It turned out that when the number of periods increased, the spectrum of the obtained initial field converges toward including Montgomery's rings (self-imaging condition). © 2010 Optical Society of America.

Description

This article is not available at CUD collection. The version of scholarly record of this Article is published in Applied Optics (2010), available online at: https://doi.org/10.1364/AO.49.002519.

Keywords

Molecular physics, Optics, Fourier, Fresnel transform, Gerchberg-Saxton, Intensity profiles, Light distribution, Montgomery, Phase profile, Self imaging, Iterative methods

Citation

Hamam, H. (2010). Intensity based self-imaging. Applied Optics, 49(13), 2519–2528. https://doi.org/10.1364/AO.49.002519

URI

http://dx.doi.org/10.1364/AO.49.002519
 http://hdl.handle.net/20.500.12519/133

DOI

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Department of Electrical Engineering