Abstract
Analytical formulas are derived for the average intensity, the root-mean-square (rms) angular width, and the M2-factor of Laguerre-Gaussian correlated Schell-model (LGCSM) beam propagating in non-Kolmogorov turbulence. The influence of the beam and turbulence parameters on the LGCSM beam is numerically calculated. It is shown that the quality of the LGCSM beam can be improved by choosing appropriate beam or turbulence parameter values. It is also found that the LGCSM beam has advantage over the Gaussian Schell-model (GSM) beam for reducing the turbulence-induced degradation. Our results will have some theoretical reference value for optical communications.
Highlights
During the past decades, the studies on properties of beams propagating in the turbulence are mainly based on Kolmogorov’s power spectrum of refractive index fluctuations
On the basis of the extended Huygens-Fresnel principle, the crossspectral density function, and the second-order moments of the Wigner distribution function (WDF), we have derived the analytical formulas for the average intensity, the rms angular width, and the M2-factor of LaguerreGaussian correlated Schell-model (LGCSM) beam propagating in non-Kolmogorov turbulence
According to Eqs. (26)-(28), the rms angular width and the M2-factor of LGCSM beam propagating in non-Kolmogorov turbulence can be obtained as
Summary
The studies on properties of beams propagating in the turbulence are mainly based on Kolmogorov’s power spectrum of refractive index fluctuations. Toselli introduced non-Kolmogorov power spectrum of refractive index fluctuations to theoretically address these issues [3]. This theoretical model can give a reasonable physical explanation for unusual atmospheric turbulence behaviors. The intensity distribution of LGCSM beam displays a Gaussian profile at the source plane, while the far-field intensity distribution exhibits a ring-shaped profile. Chen and associates studied statistical properties of LGCSM beam propagating in Kolmogorov turbulent atmosphere [6]. The influences of beam and turbulence parameter values on the normalized intensity, the rms angular width, and the M2-factor of LGCSM beam in the non-Kolmogorov turbulence have been studied in detail. We have compared propagation properties of LGCSM beam with those of GSM beam
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