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Modeling dynamic atmospheric turbulence using temporal spectra and Karhunen-Loève decomposition

: Anzuola, Esdras; Gladysz, Szymon


Optical engineering 56 (2017), No.7, Art. 071508
ISSN: 0091-3286
ISSN: 0036-1860
ISSN: 1560-2303
Journal Article
Fraunhofer IOSB ()
atmospheric turbulence; imaging through turbulent media; dynamic turbulence

We introduce a method for creating temporally evolving wavefront distortions that uses Karhunen–Loève (K-L) decomposition and the associated temporal power spectra. We model the single- and multilayer cases for horizontal and vertical paths, for which spherical and plane-wave geometries must be assumed, respectively. Simulation results confirming correct representation of the spatial and temporal statistics are presented. We demonstrate that the method is able to produce dynamic wavefronts that follow the behavior predicted by the theory while introducing key advantages in terms of storage in computer memory.