2019/11/20 by Mikhail Charnotskii, Charnotskii, Mikhail
Earth and Planetary Sciences · Environmental Science · Physics and Astronomy · #Adaptive optics and wavefront sensing #Aeolian processes and effects #FOS: Electrical engineering #FOS: Physical sciences #Image and Video Processing (eess.IV) #Optics (physics.optics) #Remote Sensing and LiDAR Applications #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.1911.09185
openalex publication_date 2019/11/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We introduce a new method for generation of the phase screen samples with arbitrary spatial spectrum: Sparse Spectrum with uniform wave vectors (SU). Similar to the known Sparse Spectrum (SS) technique, it uses trigonometric series with random discrete support on the wave vector plane, but, unlike the SS technique, the random wave vectors are uniformly distributed on the individual segments of the wave vector plane partition. We compare the accuracy and computational effectiveness of the SU technique with ubiquitous subharmonics complemented DFT method, SS method, and recently published, randomized DFT technique [J. Opt. Soc. Am. B 36, 3249 (2019)]. SSU and SS algorithms generate unbiased samples, for screens with bounded phase variance, and show the superior computational effectiveness for one megapixel and larger screens.