For non-Kolmogorov turbulence we develop a differential angle-of-arrival fluctuation coefficient, which is the ratio between the transverse and longitudinal differential angle-of-arrival variances, and a slope structure-correlation coefficient, which is the ratio between the transverse and longitudinal differences of the slope correlation function and the slope structure function, to measure the power-law exponent of a phase power spectrum with a Shack–Hartmann wave-front sensor: The differential arrival-of-angle fluctuation coefficient and the slope structure-correlation coefficient are both related to power-law exponent β and are independent of strength parameter ρ₀ of the turbulence. We compare the methods developed and use them to evaluate β in recently completed horizontal atmospheric experiments for 1000-m laser beam propagation.

© 1999 Optical Society of America

[Optical Society of America ]

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