Abstract

Study of autocorrelations of the fluctuations in a gaussian beam propagating through a random medium of gaussian inhomogeneity is extended in this paper to considerations of the spatially transverse autocorrelations of the log-amplitude or phase fluctuations at two off-axis positions over the cross section of the collimated and focused beams. Two-dimensional autocorrelation distributions with respect to one fixed off-axis point are obtained over the beam cross section at and near the focal position of a focused beam. The cross correlations of log-amplitude and phase fluctuations for the collimated and focused gaussian beams propagating through a random medium have also been evaluated as functions of the wave parameter, the normalized focal length, and the source-aperture size. A comparison is made among the cross-correlation coefficients for plane, spherical, and gaussian beams.

© 1969 Optical Society of America

Autocorrelation of Gaussian-Beam Fluctuation Caused by a Random Medium

Yasuaki Kinoshita, Toshimitsu Asakura, and Michio Suzuki
J. Opt. Soc. Am. 58(8) 1040-1047 (1968)

Fluctuation Distribution of Gaussian Beam Propagating Through a Random Medium

Yasuaki Kinoshita, Toshimitsu Asakura, and Michio Suzuki
J. Opt. Soc. Am. 58(6) 798-807 (1968)

Log-Amplitude Mean for Laser-Beam Propagation in the Atmosphere*

F. G. Gebhardt and S. A. Collins
J. Opt. Soc. Am. 59(9) 1139-1148 (1969)

Mode Conversion due to Fluctuations in a Lens-like Medium

Masaaki Imai, Shoichi Kikuchi, Tadashi Matsumoto, and Yasuaki Kinoshita
J. Opt. Soc. Am. 59(8) 904-913 (1969)

Log-Amplitude Fluctuations of Laser Beam in a Turbulent Atmosphere

T. L. Ho
J. Opt. Soc. Am. 59(4) 385-390 (1969)