ABSTRACT We study the spiral spectrum of anomalous vortex beams propagating through a turbulent atmosphere. Based on the Huygens–Fresnel integral and the Rytov approximation, the integral expression and then the analytical expression for the spiral spectrum of anomalous vortex beams in the weakly turbulent atmosphere are derived. The capacity of wireless optical links using the anomalous vortex beam is obtained. It is found that the spiral spectrum of the anomalous vortex beam is less affected by turbulence than that of the Laguerre-Gaussian beam. And thus, the information capacity of wireless optical links using the anomalous vortex beam is larger than that using the Laguerre-Gaussian beam. The influence of beam order, wavelength, topological charge, propagation distance, refractive index structure constant and the radius of receiver aperture on spiral spectrum is investigated. These results contribute to reduce the disturbing effects of atmospheric turbulence on the orbital angular momentum of the vortex beam.

中文翻译：

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在弱湍流大气中传播的异常涡旋光束的螺旋谱

摘要 我们研究了在湍流大气中传播的异常涡旋光束的螺旋谱。基于惠更斯-菲涅尔积分和Rytov近似，推导了弱湍流大气中异常涡旋光束螺旋谱的积分表达式和解析表达式。获得了使用异常涡旋光束的无线光链路的容量。发现异常涡旋光束的螺旋谱受湍流的影响比拉盖尔-高斯光束小。因此，使用反常涡旋光束的无线光链路的信息容量大于使用拉盖尔-高斯光束的信息容量。光束阶次、波长、拓扑电荷、传播距离的影响，研究了螺旋光谱上的折射率结构常数和接收器孔径半径。这些结果有助于减少大气湍流对涡旋光束轨道角动量的干扰影响。