Intensity fluctuations of partially coherent cos Gaussian and cosh Gaussian beams in atmospheric turbulence

Abstract

On-axis and off-axis scintillation indices of partially coherent collimated cos Gaussian and cosh Gaussian beams are evaluated on their propagation in a weakly turbulent atmosphere. In the coherent limits, our results are in quite good agreement with those for the existing Rytov scintillation index of coherent cos Gaussian and cosh Gaussian beams, especially for very small and very large sized beams and at weaker turbulence levels. The on-axis scintillation index becomes lower as the degree of source coherence decreases for both cos Gaussian and cosh Gaussian beams. Comparing to the partially coherent Gaussian beam on-axis scintillations, partially coherent cos Gaussian beam scintillations are generally lower and partially coherent cosh Gaussian beam scintillations are higher. Scintillations of Gaussian beams are very close to the scintillations of equal-power cos Gaussian and are quite similar to the scintillations of equal-power cosh Gaussian beams. Off-axis evaluations yield that the scintillations of both cos Gaussian and cosh Gaussian beams increase as the diagonal distance from the origin increases, being valid for all degrees of partial coherence.

Propagation of Stochastic Electromagentic Fields in Atmospheric Turbulence

“…c) statistics of various beams in turbulence [7][8], [10], [14], [19], [23], [29], [42] We have done several deep studies about evolution of various the second-order and the fourth-order statistical properties of optical beams. In [7][8] and [42] the scintillation index of J-Bessel, I-Bessel, cosGaussian and cosh-Gaussian was calculated for the atmospheric boundary layer based on a numerical technique, specifically developed for this purpose.…”

“…In [7][8] and [42] the scintillation index of J-Bessel, I-Bessel, cosGaussian and cosh-Gaussian was calculated for the atmospheric boundary layer based on a numerical technique, specifically developed for this purpose. We have shown the advantages of using these classes of beams for mitigation of scintillation, compared with typical lowest-order Gaussian beam.…”

Correlation between intensity fluctuations of light generated by scattering of Young’s diffractive electromagnetic waves by a quasi-homogeneous, anisotropic medium

“…Meanwhile, substantial work has been concentrated on the intensity correlations of a variety of random beams when they propagate through atmospheric turbulence [11][12][13][14][15], laser resonators [16], rotating ground-glass plates [17] and optical polarization devices [18]. These reports indicate that the CIF scattered from a random medium or rough surface exhibits interesting properties.…”

Field correlations for off‐axis Gaussian laser beams in atmospheric turbulence

“…The propagation in atmospheric turbulence of different incidences, such as the off‐axis, flat‐topped, annular, sinusoidal Gaussian, and the others, is investigated in detail. Research results in this respect cover the second order moments [ Fusco and Conan , ; Ji et al ., ; Dou et al ., ; Li et al ., ; Baykal and Eyyuboğlu , ; Ji et al ., ; Chen and Ji , ; Ghafary and Alavinejad , ; Baykal , ] and the fourth order moments [ Baykal , et al ., , ; Eyyuboğlu et al ., ; Baykal et al ., ; Arpali et al ., ; Eyyuboğlu and Baykal , ]. The results obtained in these studies indicate that the incident field profiles can appreciably change the characteristics of the received beams when they propagate in the turbulent atmosphere.…”