Abstract

A source having a deterministic beam-wave amplitude distribution with a spatially random phase variation is assumed. The source distibution simulates laser reflectance from (or transmission through) a rough surface with arbitrary height deviation and a correlation yielding a Gaussian intensity covariance. The intensity covariance resulting from the assumed source propagating through atmospheric turbulence is calculated using a formalism developed previously. The resultant eight-fold intergral is evaluated in closed form retaining all phase, log-amplitude, and cross phaselog-amplitude structure functions by employing the quadratic approximation for the complex phase. Limiting case conditions of (i) a field from a partially coherent source propagating in vacuo (speckle) and (ii) a coherent beam-wave propagating through turbulence are examined. Speckle contrast calculations replicate published data using less restrictive assumptions than formerly employed, while turbulent atmosphere beam-wave calculations appear more physically reasonable than results of Ishimaru. General-case calculations show that the normalized intensity variance (contrast or fluctuation parameter) increases less rapidly with increasing turbulence as the phase variance of the source increases. A saturation phenomenon is observed at high turbulence levels as the coherence decreases. The inability to sustain high spatial frequency speckle in turbulence is reflected in the calculated intensity covariance function.

© 1979 Optical Society of America

Beam-intensity fluctuations in atmospheric turbulence

J. Carl Leader
J. Opt. Soc. Am. 71(5) 542-558 (1981)

Optical beam propagation for a partially coherent source in the turbulent atmosphere

S. C. H. Wang and M. A. Plonus
J. Opt. Soc. Am. 69(9) 1297-1304 (1979)

Statistics of speckle propagation through the turbulent atmosphere

Myung Hun Lee, J. Fred Holmes, and J. Richard Kerr
J. Opt. Soc. Am. 66(11) 1164-1172 (1976)

Intensity fluctuations due to a spatially partially coherent source in atmospheric turbulence as predicted by Rytov’s method

Y. Baykal and M. A. Plonus
J. Opt. Soc. Am. A 2(12) 2124-2132 (1985)

Beam properties of partially coherent curved beam waves in the turbulent atmosphere

J. Carl Leader
J. Opt. Soc. Am. 70(6) 682-688 (1980)