Effect of anisotropy on the M2-factor and angular spreading of partially coherent Hermite-Gaussian beam propagating in anisotropic oceanic turbulence

Based on the extended Huygens-Fresnel principle and second-order moments of the Wigner distribution function (WDF), the analytical expressions for the normalized propagation factor (M-2-factor) and normalized angular spreading of partially coherent Hermite-Gaussian (PCHG) beam through anisotropic oceanic turbulence have been derived. Our numerical results show that anisotropic factors have larger effect on the oceanic turbulent intensity T than that of isotropic factors. In addition, the normalized M-2-factor and normalized angular spreading of PCHG beam propagating in anisotropic oceanic turbulence apparently increases with the propagation distance, and that of PCHG beam increases slower with smaller anisotropic factor mu(x), mu(y) or larger beam order m. Besides, we also found that initial beam parameters lambda, sigma(0), w(0) and oceanic turbulence parameters epsilon, w, X-T and nu have different influence on normalized M-2-factor and normalized angular spreading of a PCHG beam propagating in anisotropic oceanic turbulence, which can improve the performance of optical communication in anisotropic oceanic turbulence where a PCHG beam is used.