## Matlab涡旋光束在湍流大气中的传输特性模拟研究

Title   Propagation properties of vortex beams in turbulent atmosphere
Abstract
This article has already conducted propagation properties of Laguerre-Gaussian vortex beams in turbulent atmosphere through the theoretical analysis and numerical method. First ,according to the Huygens- Fresnel principle , the axial light intensity distributions of the Laguerre-Gaussian vortex beams limited by a circular aperture in atmospheric turbulence were exported and the propagation characteristics under different intensity of turbulence and wavelength and aperture transmit were simulated used by Matlab. The results indicate the oscillation rises in the near-field; the oscillation dies out and the average intensity declines smooth with the increase of propagation distance in far-field. The value of axial intensity is accordance with the intensity of turbulence，as the turbulence is smaller, it changes smaller, when the turbulence is larger, it changes larger. When the optical cable aperture is larger,the position of the maximum value of the axial intensity is further. The axial intensity is also accordance with the rank and wavelength of the beams, it is higher as the wavelength or the rank of the beam is larger.

Keywords Atmospheric turbulence  Laguerre-Gaussian vortex beams  Light intensity

1 绪论 1
1.1 引言1
1.2当前研究现状1
2 湍流大气4
2.1大气湍流的性质4
2.2大气湍流的研究手段5
2.3 大气湍流对激光传播的影响5
2.3.1光强闪烁5
2.3.2光束漂移7
2.3.3到达角起伏7
2.3.4相位起伏8
2.3.5光束扩展8
3 涡旋光束和光学涡旋 8
3.1涡旋光束介绍8
3.2光学涡旋 10
3.3涡旋光束的参数12
3.3.1涡旋光束的场分布12
3.3.2涡旋光束的光强13
4 大气湍流对受限拉盖尔-高斯光束轴上光强的影响13
4.1理论分析 13
4.2模拟结果 16
4.2.1不同发射孔径对轴上光强的影响 16
4.2.2不同阶数对轴上光强的影响 17
4.2.3 不同波长对轴上光强的影响 19
4.2.4 不同传输距离的轴上光强 20

1  绪论
1.1  引言

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