
Proceedings Paper
Sparse spectrum model for the turbulent phase simulationsFormat | Member Price | Non-Member Price |
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Paper Abstract
Monte-Carlo simulation of phase front perturbations by atmospheric turbulence finds numerous applications for design
and modeling of the adaptive optics systems, laser beams propagation simulations, and evaluating the performance of the
various optical systems operating in the open air environment. Accurate generation of two-dimensional random fields of
turbulent phase is complicated by the enormous diversity of scales that can reach five orders in magnitude in each
coordinate. In addition there is a need for generation of the long “ribbons” of turbulent phase that are used to represent
the time evolution of the wave front. This makes it unfeasible to use the standard discrete Fourier transform-based
technique as a basis for the Monte-Carlo simulation algorithm. We propose a novel concept for turbulent phase – the
Sparse Spectrum (SS) random field. The principle assumption of the SS model is that each realization of the random
field has a discrete random spectral support. Statistics of the random amplitudes and wave vectors of the SS model are
arranged to provide the required spectral and correlation properties of the random field. The SS-based Monte-Carlo
model offers substantial reduction of computer costs for simulation of the wide-band random fields and processes, and is
capable of generating long aperiodic phase “ribbons”. We report the results of model trials that determine the number of
sparse components, and the range of wavenumbers that is necessary to accurately reproduce the random field with a
power-law spectrum.
Paper Details
Date Published: 17 May 2013
PDF: 11 pages
Proc. SPIE 8732, Atmospheric Propagation X, 873208 (17 May 2013); doi: 10.1117/12.2016437
Published in SPIE Proceedings Vol. 8732:
Atmospheric Propagation X
Linda M. Wasiczko Thomas; Earl J. Spillar, Editor(s)
PDF: 11 pages
Proc. SPIE 8732, Atmospheric Propagation X, 873208 (17 May 2013); doi: 10.1117/12.2016437
Show Author Affiliations
Mikhail Charnotskii, Zel Technologies, LLC (United States)
National Oceanic and Atmospheric Administration (United States)
National Oceanic and Atmospheric Administration (United States)
Published in SPIE Proceedings Vol. 8732:
Atmospheric Propagation X
Linda M. Wasiczko Thomas; Earl J. Spillar, Editor(s)
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