We establish the propagation model of orbital angular momentum (OAM) modes carried by hollow vortex Gaussian (hvG) beams propagating in anisotropic atmospheric turbulence. Effects of light source parameters and atmospheric conditions on the OAM mode propagation performance are investigated in detail. The findings indicate the hvG beam with a smaller OAM quantum number, a larger beam order, or a longer source wavelength has more robust resistance to atmospheric turbulence interference. The waist width of the light source has different influences on the OAM mode propagation at different propagation distances. Atmospheric turbulences with larger values of anisotropy, inner-scale factor, non-Kolmogorov power spectrum index, and altitude are favorable for the OAM mode propagation. These research results are conducive to optimizing the design of light sources and space wireless communication systems with hvG beams.

中文翻译：

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中空涡旋高斯光束在各向异性大气湍流中的轨道角动量模态的传播。

我们建立了在各向异性大气湍流中传播的空心涡流高斯（hvG）光束所携带的轨道角动量（OAM）模式的传播模型。详细研究了光源参数和大气条件对OAM模式传播性能的影响。研究结果表明，具有较小OAM量子数，较大束级或较长源波长的hvG光束具有较强的抗大气湍流干扰能力。光源的腰宽对不同传播距离下的OAM模式传播有不同的影响。具有较大各向异性值，内部比例因子，非Kolmogorov功率谱指数和高度的大气湍流有利于OAM模式传播。