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Gaussian phase autocorrelation as an accurate compensator for FFT-based atmospheric phase screen simulations

Chhabra, Sorabh and Paul, Jyotirmay and Ramaprakash, A. N. and Surendran, Avinash (2020) Gaussian phase autocorrelation as an accurate compensator for FFT-based atmospheric phase screen simulations. In: Adaptive Optics Systems VII. Proceedings of SPIE. No.11448. Society of Photo-Optical Instrumentation Engineers (SPIE) , Bellingham, WA, Art. No. 114487U. ISBN 9781510636835. https://resolver.caltech.edu/CaltechAUTHORS:20201222-092847125

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Abstract

Accurately simulating the atmospheric turbulence behaviour is always challenging. The well-known FFT based method falls short in correctly predicting both the low and high frequency behaviours. Sub-harmonic compensation aids in low-frequency correction but does not solve the problem for all screen size to outer scale parameter ratios (G/L₀). FFT-based simulation gives accurate result only for relatively large screen size to outer scale parameter ratio (G/L₀). In this work, we have introduced a Gaussian phase autocorrelation matrix to compensate for any sort of residual errors after applying for a modified subharmonics compensation. With this, we have solved problems such as under sampling at the high-frequency range, unequal sampling/weights for subharmonics addition at low-frequency range and the patch normalization factor. Our approach reduces the maximum error in phase structure-function in the simulation with respect to theoretical prediction to within 1.8%, G/L₀ = 1/1000.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
https://doi.org/10.1117/12.2575934DOIArticle
ORCID:
AuthorORCID
Ramaprakash, A. N.0000-0001-5707-4965
Additional Information:© 2020 Society of Photo-Optical Instrumentation Engineers (SPIE). We would like to thank Sedmak to support us over private communication and provide in-depth knowledge of the atmospheric power spectrum. We also thank Xiang for sharing his MATLAB code which calculates the phase structure function quickly for a large number of phase screens.
Subject Keywords:Phase Screen, Fast Fourier Transform, Subharminic, Autocorrelation, Phase structure function
Series Name:Proceedings of SPIE
Issue or Number:11448
Record Number:CaltechAUTHORS:20201222-092847125
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20201222-092847125
Official Citation:Sorabh Chhabra, Jyotirmay Paul, A. N. Ramaprakash, and Avinash Surendran "Gaussian phase autocorrelation as an accurate compensator for FFT-based atmospheric phase screen simulations", Proc. SPIE 11448, Adaptive Optics Systems VII, 114487U (13 December 2020); https://doi.org/10.1117/12.2575934
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:107252
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:22 Dec 2020 17:41
Last Modified:22 Dec 2020 17:41

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