Transmission characteristics of perfect optical vortex beam in slant path atmospheric turbulence
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摘要: 完美涡旋（POV）光束具有光束半径与拓扑荷数无关的特点，与其他涡旋光束相比具有更加稳定的空间强度分布特性。利用多相位屏法和傅里叶变换法，分析了POV光束在大气湍流中的斜程传输特性。采用光束漂移和孔径平均闪烁指数作为大气湍流影响光束质量的评价参数，对比了POV光束与高斯涡旋光束在相同传输条件下的光束质量。结果表明：相比于高斯涡旋光束，POV光束的光束稳定性更好。当拓扑荷数增大或天顶角减小时，POV光束抵抗大气湍流的能力增强。在不改变POV光束拓扑荷数的前提下增大其光束半径，也能提高POV光束对大气湍流的抵抗能力。Abstract: Compared with other vortex beams, the perfect optical vortex (POV) beam has a more stable spatial intensity distribution because the beam radius is independent of the topological charge. In this paper, the transmission characteristics of the POV beam in slant path atmospheric turbulence are studied by means of multi-phase screen method and Fourier transform method. The influence of atmospheric turbulence on beam quality is analyzed by using beam drift and aperture average scintillation index. Then the beam quality of the POV beam and Gaussian vortex beam under the same transmission conditions is compared. The results show that POV beam has better beam stability than Gaussian vortex beam. When the topological load increases or the zenith angle decreases, the ability of POV beam to resist atmospheric turbulence increases. The resistance of POV beam to atmospheric turbulence can be improved by increasing the beam radius without changing the topological charge of the POV beam.
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图 2 大气湍流影响下不同传输距离POV光束的二维光强和相位分布
Figure 2. Two-dimensional intensity and phase distribution of POV beams with different transmission distances under atmospheric turbulence
图 3 不同传输距离POV光束的一维光强分布
Figure 3. One-dimensional intensity distribution of POV beams at different transmission distances
图 4 不同拓扑荷数光束漂移量的变化规律以及完美涡旋与高斯涡旋光束漂移量对比
Figure 4. Variation of beam drift of different topological charges and the comparison of beam drift of perfect vortex and Gaussian vortex
图 5 不同天顶角，POV光束漂移量随传输距离的变化
Figure 5. POV beam drift varies with transmission distance for different zenith angles
图 6 光束漂移量随POV光束环半径的变化曲线
Figure 6. Curve of beam drift with the radius of POV beam ring
图 7 不同拓扑荷数光束孔径平均闪烁指数的变化规律以及POV与高斯涡旋闪烁指数对比
Figure 7. Variation of the mean scintillation index of the aperture of a beam with different topological charges and the comparison between POV and Gaussian vortex scintillation index
图 8 不同天顶角POV光束孔径平均闪烁指数随传输距离的变化
Figure 8. Variation of mean scintillation index of POV beam aperture with different zenith angles and transmission distance
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