Statistical and imaging comparisons of FFT-based phase screens and fractal-based phase screens

V. S. R. Gudimetla; D. Abercrombie; R. Holmes

doi:10.1117/12.2632776

4 October 2022 Statistical and imaging comparisons of FFT-based phase screens and fractal-based phase screens

V. S. R. Gudimetla, D. Abercrombie, R. Holmes

Proceedings Volume 12239, Unconventional Imaging and Adaptive Optics 2022; 122390M (2022) https://doi.org/10.1117/12.2632776
Event: SPIE Optical Engineering + Applications, 2022, San Diego, California, United States

Abstract

Fractal-based phase screens are compared to subharmonic-augmented FFT-based phase screens using both analytic and numerical statistical methods. Properties such as homogeneity and stationarity are investigated. It is shown analytically that augmented FFT-based screens are homogeneous and strict-sense stationary. Analytic means are also used to show that fractal-based phase screens are not stationary based on the definition of fractal Brownian surfaces. Corresponding numerical results show that the structure functions in both cases appear to be stationary or nearly so. It is shown that both types of phase screens must have “creasing” that has been observed in the power spectrum, due to edge effects. FFT-based screens without subharmonic augmentation, on the other hand, are shown to avoid such creasing. Sample results are also presented for imaging reconstructions with both types of screens.

Conference Presentation

Citation Download Citation

V. S. R. Gudimetla, D. Abercrombie, and R. Holmes "Statistical and imaging comparisons of FFT-based phase screens and fractal-based phase screens", Proc. SPIE 12239, Unconventional Imaging and Adaptive Optics 2022, 122390M (4 October 2022); https://doi.org/10.1117/12.2632776

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