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Published December 13, 2020 | Published
Book Section - Chapter Open

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


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.

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.

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August 20, 2023
August 20, 2023