Improved sparse spectrum model for the turbulent phase

Mikhail Charnotskii

doi:10.1117/12.2026735

25 September 2013 Improved sparse spectrum model for the turbulent phase

Mikhail Charnotskii

Proceedings Volume 8874, Laser Communication and Propagation through the Atmosphere and Oceans II; 88740T (2013) https://doi.org/10.1117/12.2026735
Event: SPIE Optical Engineering + Applications, 2013, San Diego, California, United States

Abstract

Recently published Sparse-Spectrum (SS) model of the phase front perturbations by atmospheric turbulence¹ is based on the trigonometric series with discrete random spectral support. SS model offers substantial computational savings, while preserving the wide range of scales typically associated with turbulence perturbations. We present an improved version of the SS model that accurately reproduces the power-law spectral density of the phase fluctuations in the arbitrary wide spectral band. SS model offers an ample flexibility in the choice of the probability distributions of the components wave vectors. The number of spectral components and the degree of probability distributions overlapping are the primary factors affecting the SS phase statistics. We use the Monte-Carlo model to examine the statistics of the SS phase samples for four basic versions of the SS model. We also present the calculations of the practically important long-exposure Strehl numbers. Non-overlapping SS model with log-uniform partition emerges as the most appropriate for the atmospheric turbulence representation. However, it is possible that the other model types can be used for optical propagation through different turbulent flows, such as air flows around domes and turrets, jets engine plumes, etc.

Citation Download Citation

Mikhail Charnotskii "Improved sparse spectrum model for the turbulent phase", Proc. SPIE 8874, Laser Communication and Propagation through the Atmosphere and Oceans II, 88740T (25 September 2013); https://doi.org/10.1117/12.2026735

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