Share Email Print

Proceedings Paper

Inner- and outer-scales of turbulent wavefront phase defined through the lens of multi-scale Levy fractional Brownian motion processes
Format Member Price Non-Member Price
PDF $17.00 $21.00

Paper Abstract

We have previously shown that the Levy fractional Brownian field family accounts for a complete statistical and analytical description of non-Kolmogorov wavefront phase [Opt. Lett. 33(6), 572 (in press, 2008)]. This is a nonstationary process having zero mean and stationary increments; then, replicating the well-known properties of the turbulent phase. Opposite to traditional models relying in the stationary (spectral) approximation of the phase, that ultimately leads to non-physical divergences. Our model avoids these pitfalls and gives exact analytical results to many observable quantities: Strehl ratio, angle-of-arrival variance, seeing and Zernike coefficients, and also, a generalized DIMM theory. Nevertheless, some coefficients are slightly below (~ 5-10%) when compared to other estimates in the occurrence of Kolmogorov turbulence. In the present work we show that this is due to the mono-fractal nature of this model; that is, the absence of inner- and outer-scales. To address this issue we introduce a Gaussian stochastic process whose realizations are multi-fractals: the multi-scale Levy fractional Brownian field.

Paper Details

Date Published: 9 October 2008
PDF: 6 pages
Proc. SPIE 7108, Optics in Atmospheric Propagation and Adaptive Systems XI, 71080O (9 October 2008); doi: 10.1117/12.800155
Show Author Affiliations
Dario G. Perez, Pontificia Univ. Catolica de Valparaiso (Chile)
Luciano Zunino, Ctr. de Investigaciones Ópticas (Argentina)
Univ. Nacional de La Plata (Argentina)

Published in SPIE Proceedings Vol. 7108:
Optics in Atmospheric Propagation and Adaptive Systems XI
Anton Kohnle; Karin Stein; John D. Gonglewski, Editor(s)

© SPIE. Terms of Use
Back to Top
Sign in to read the full article
Create a free SPIE account to get access to
premium articles and original research
Forgot your username?