部分相干厄米高斯光束在斜程大气湍流中的扩展

基于广义惠更斯-菲涅耳原理，推导出部分相干厄米高斯（H-G）光束通过斜程大气湍流传输的均方根束宽和角扩展的解析表达式，并用以研究了传输路径和光束阶数对部分相干H-G光束传输的影响。引入相对束宽和相对角扩展来定量描述光束抗拒大气湍流的能力。结果表明:在相同条件下，部分相干H-G光束斜程传输受大气湍流的影响要小于水平传输，与水平传输相比斜程传输更有利于部分相干光束在大气湍流中的传输，光束阶数越大部分相干H-G光束受大气湍流的影响越小。

Spreading of partially coherent Hermite-Gaussian beams in slant atmospheric turbulence

Based on the extended Huygens-Fresnel principle, the analytical expressions for the root mean square width and angular spread of partially coherent Hermite-Gaussian (H-G) beams propagating through slant atmospheric turbulence are derived, and are used to study the influence of propagation path and beam orders on the propagation of partially coherent H-G beams in atmospheric turbulence along a slant path. The relative width and relative angular spread are introduced to quantitatively describe the resistance of a beam to atmospheric turbulence. It is shown that under the same conditions the influence of atmospheric turbulence along a slant path on the partially coherent H-G beam propagation is smaller than that along a horizontal path. Therefore, the slant path is more beneficial to the beam propagation through atmospheric turbulence in comparison with the horizontal propagation. The larger the beam orders m, n are, the less the partially coherent H-G beams are affected by turbulence.