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Comparison of four techniques for turbulent phase screens simulation

Mikhail Charnotskii

2020Journal of the Optical Society of America A40 citationsDOI

Abstract

In the study, we introduce a new technique, sparse spectrum with uniform wave vectors (SU), for generation of phase screen samples. In a manner similar to the known sparse spectrum (SS) technique, it uses a trigonometric series with random discrete spectral support. However, in contrast to the SS technique, random wave vectors are uniformly distributed on individual segments of the wave vector plane partition in the SU technique. We compare the accuracy and computational effectiveness of the SU technique with the subharmonics complemented discrete Fourier transform (DFT) technique, SS technique, and randomized DFT technique [ J. Opt. Soc. Am. B36, 3249 (2019)JOBPDE0740-322410.1364/JOSAB.36.003249]. The SU and SS techniques generate unbiased samples and indicate superior computational effectiveness for 1 MP and larger screens.

Topics & Concepts

AlgorithmFast Fourier transformComputer scienceDiscrete Fourier transform (general)Fourier transformPhase (matter)Trigonometric functionsOpticsMathematicsFourier analysisPhysicsMathematical analysisFractional Fourier transformGeometryQuantum mechanicsAdaptive optics and wavefront sensingOptical measurement and interference techniquesDigital Holography and Microscopy
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