1998•Applied OpticsRequires access

Recursive algorithm for phase retrieval in the fractional Fourier transform domain

Wenxiang Cong, Nan‐Xian Chen, Ben–Yuan Gu

Open publisher page 42 citations

Abstract

We first discuss the discrete fractional Fourier transform and present some essential properties. We then propose a recursive algorithm to implement phase retrieval from two intensities in the fractional Fourier transform domain. This approach can significantly simplify computational manipulations and does not need an initial phase estimate compared with conventional iterative algorithms. Simulation results show that this approach can successfully recover the phase from two intensities.

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What this paper is about

We first discuss the discrete fractional Fourier transform and present some essential properties. We then propose a recursive algorithm to implement phase retrieval from two intensities in the fractional Fourier transform domain. This approach can significantly simplify computational manipulations and does not need an initial phase estimate compared with conventional iterative algorithms. Simulation results show that this approach can successfully recover the phase from two intensities.

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OpenAlex reports 42 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

We first discuss the discrete fractional Fourier transform and present some essential properties. We then propose a recursive algorithm to implement phase retrieval from two intensities in the fractional Fourier transform domain. This approach can significantly simplify computational manipulations and does not need an initial phase estimate compared with conventional iterative algorithms. Simulation results show that this approach can successfully recover the phase from two intensities.

Key concepts: Phase retrieval, Algorithm, Fractional Fourier transform, Fourier transform, Discrete Fourier transform (general), Computer science, Discrete-time Fourier transform, Phase (matter)

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