KEYWORDS: Turbulence, Atmospheric propagation, Beam propagation method, Anisotropy, Wigner distribution functions, Global system for mobile communications, Laser beam propagation, Near field, Atmospheric turbulence, Refractive index
In view of the previous work, the effective radius of curvature (ERC) and Rayleigh range zR of a general-type partially coherent beam propagating are studied in anisotropic oceanic turbulence. Based on the extended Huygens–Fresnel integral, we derive the formulae of the second-order moments of Wigner distribution function (WDF) in anisotropic oceanic turbulence. The calculation results reveal that turbulent anisotropy has a sharp impact on both the ERC and Rayleigh range for a general-type beam. In the near field, the effect of anisotropic oceanic turbulence on the ERC is distinct. With the increase of propagation distance, these influence on the ERC gradually weaken, and can be ignored in the far field. In addition, zR is always larger than that of the conventional Gaussian-Shell model beam in anisotropic oceanic turbulence. And these results will be useful in optical underwater communication.
Based on the extended Huygens-Fresnel integral formula and unified theory of coherence and polarization, we obtained the cross-spectral density matrix elements for a radially polarized partially coherent twist (RPPCT) beam in a uniaxial crystal. Moreover, compared with free space, we explore numerically the evolution properties of a RPPCT beam in a uniaxial crystal. The calculation results show that the evolution properties of a RPPCT beam in crystals are substantially different from its properties in free space. These properties in crystals are mainly determined by the twist factor and the ratio of extraordinary index to ordinary refractive index. In a uniaxial crystal, the distribution of the intensity of a RPPCT beam all exhibits non-circular symmetry, and these distributions change with twist factor and the ratio of extraordinary index to ordinary refractive index. The twist factor affects their rotation orientation angles, and the ratio of extraordinary index to ordinary refractive index impacts their twisted levels. This novel characteristics can be used for free-space optical communications, particle manipulation and nonlinear optics, where partially coherent beam with controlled profile and twist factor are required.
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