Expressions for the spherical-wave-structure function based on a bump spectrum model for the index of refraction

Christina E. Richardson; Larry C. Andrews

doi:10.1117/12.46546

1 July 1991 Expressions for the spherical-wave-structure function based on a bump spectrum model for the index of refraction

Christina E. Richardson, Larry C. Andrews

Author Affiliations +

Proceedings Volume 1487, Propagation Engineering: Fourth in a Series; (1991) https://doi.org/10.1117/12.46546
Event: Orlando '91, 1991, Orlando, FL, United States

Abstract

New spectra models have recently been developed for the spatial power spectra of temperature and refractive index fluctuations in the atmospheric boundary layer showing the characteristic 'bump' just prior to the dissipation ranges. Theoretical work involving these new models has led to new expressions for the phase structure function associated with a plane optical wave, although most experimental work has involved spherical waves. Following techniques similar to those used for the plane wave analysis, new expressions valid in geometrical and diffraction regimes are developed here for the phase structure function of a spherical optical wave propagating through clear-air atmospheric turbulence. Useful asymptotic formulas for small separation distances and the inertial subrange are derived from these general expressions.

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Christina E. Richardson and Larry C. Andrews "Expressions for the spherical-wave-structure function based on a bump spectrum model for the index of refraction", Proc. SPIE 1487, Propagation Engineering: Fourth in a Series, (1 July 1991); https://doi.org/10.1117/12.46546

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