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Fast Fourier Transform based phase screen simulations give accurate resultsonly when the screen size ($G$) is much larger than the outer scale parameter($L_0$). Otherwise, they fall short in correctly predicting both the low andhigh frequency behaviours of turbulence induced phase distortions. Sub-harmoniccompensation is a commonly used technique that aids in low-frequency correctionbut does not solve the problem for all values of screen size to outer scaleparameter ratios $(G/L_0$). A subharmonics based approach will lead to unequalsampling or weights calculation for subharmonics addition at the low-frequencyrange and patch normalization factor. We have modified the subharmonics basedapproach by introducing a Gaussian phase autocorrelation matrix thatcompensates for these shortfalls. We show that the maximum relative error instructure function with respect to theoretical value is as small as 0.5-3% for$(G/L_0$) ratio of 1/1000 even for screen sizes up to 100 m diameter.

A generalized approach to compensate for low and high frequency errors in FFT based phase screen simulations