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.
© 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.
Published - 114487U.pdf