Optical propagation in non-Kolmogorov atmospheric turbulence

Bruce E. Stribling; Byron M. Welsh; Michael C. Roggemann

doi:10.1117/12.211927

15 June 1995 Optical propagation in non-Kolmogorov atmospheric turbulence

Bruce E. Stribling, Byron M. Welsh, Michael C. Roggemann

Proceedings Volume 2471, Atmospheric Propagation and Remote Sensing IV; (1995) https://doi.org/10.1117/12.211927
Event: SPIE's 1995 Symposium on OE/Aerospace Sensing and Dual Use Photonics, 1995, Orlando, FL, United States

Abstract

Several observations of atmospheric turbulence statistics have been reported which do not obey Kolmogorov's power spectral density model. These observations have prompted the study of optical propagation through turbulence described by non-classical power spectra. This paper presents an analysis of optical propagation through turbulence which causes fluctuations in the index of refraction. The index fluctuations are assumed to have spatial power spectra that obey arbitrary power laws. The spherical and plane wave structure functions are derived using Mellin transform techniques. The wave structure function is used to compute the Strehl ratio of a focused plane wave propagating in turbulence as the power law for the spectrum of the index of refraction fluctuations is varied from -3 to -4. The relative contributions of the log amplitude and phase structure functions to the wave structure function are computed. At power laws close to -3, the magnitude of the log amplitude and phase perturbations are determined by the system Fresnel ratio. At power laws approaching -4, phase effects dominate in the form of random tilts.

Citation Download Citation

Bruce E. Stribling, Byron M. Welsh, and Michael C. Roggemann "Optical propagation in non-Kolmogorov atmospheric turbulence", Proc. SPIE 2471, Atmospheric Propagation and Remote Sensing IV, (15 June 1995); https://doi.org/10.1117/12.211927

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