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

Sorabh Chhabra; Jyotirmay Paul; A. N. Ramaprakash; Avinash Surendran

doi:10.1117/12.2575934

13 December 2020 Gaussian phase autocorrelation as an accurate compensator for FFT-based atmospheric phase screen simulations

Sorabh Chhabra, Jyotirmay Paul, A. N. Ramaprakash, Avinash Surendran

Author Affiliations +

Proceedings Volume 11448, Adaptive Optics Systems VII; 114487U (2020) https://doi.org/10.1117/12.2575934
Event: SPIE Astronomical Telescopes + Instrumentation, 2020, Online Only

Conference Poster

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.

Conference Presentation

Citation Download 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

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