Noninterferometric phase retrieval using a fractional Fourier system

Abstract

The signal extraction methods based on intensity measurements in two close fractional Fourier domains is examined using the phase space formalism. The fractional order separation has a lowerbound and upperbound which depends on the signal at hand and the noise in the optical system used for measurement. Based on a theoretical analysis it is shown for a given optical system, a judicious choice of fractional order separation requires some a priori knowledge of the signal bandwidth. We also present some experimental results in support of the analysis.

Keywords: Phase retrieval, Phase measurement, Fractional Fourier transforms

Copyright 2008 OSA. This paper was published in Journal of the Optical Society of America A and is made available as an electronic reprint with the permission of OSA. The paper can be found at the following URL on the OSA website: http://www.opticsinfobase.org/abstract.cfm?id=148463. Systematic or multiple reproduction or distribution to multiple locations via electronic or other means is prohibited and is subject to penalties under law.