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部分相干双曲正弦-高斯光束的传输和聚焦特性
引用本文:李长伟,康小平,何仲.部分相干双曲正弦-高斯光束的传输和聚焦特性[J].红外与激光工程,2015,44(2):486-490.
作者姓名:李长伟  康小平  何仲
作者单位:1.琼州学院理工学院,海南三亚572022
基金项目:琼州学院2013年度科研项目
摘    要:为了研究部分相干双曲正弦-高斯(SHG)光束通过像散透镜的传输和聚焦特性,利用部分相干光的传输公式,推导了光束通过像散透镜后光强分布解析的表达式,并据此得到了光束束腰宽度、远场发散角和M2因子的解析表达式,并对光束强度分布和束腰宽度进行了数值计算和分析。结果表明:部分相干ShG光束聚焦的光强分布与像散系数C6,空间相干参数,离心参数a,菲涅耳数Nw和位置(x,y,z)有关。像散导致x和y方向束宽不同。但M2因子与像散无关,并随相干性的增加和离心参数的减小而减小。适当改变像散和空间相干性,在几何焦面和其它位置可实现部分相干ShG光束的空间整形。

关 键 词:传输和聚焦特性    像散透镜    部分相干双曲正弦-高斯(ShG)光束
收稿时间:2014-06-05

Propagation and focusing properties of partially coherent sinh-Gaussian beams
Li Changwei,Kang Xiaoping,He Zhong.Propagation and focusing properties of partially coherent sinh-Gaussian beams[J].Infrared and Laser Engineering,2015,44(2):486-490.
Authors:Li Changwei  Kang Xiaoping  He Zhong
Affiliation:1.College of Science and Engineering,Qiongzhou University,Sanya 572022,China
Abstract:In order to study the propagation and focusing properties of partially coherent sinh-Gaussian (SHG) beams through an astigmatic lens, the analytical expression of the intensity was derived based on the transmission formula of partially coherent beams, and the analytical expression of the beam width, the far-field divergence angle and the M2 factor were deduced, the intensity and the beam width were calculated and analyzed. It is found that the intensity distributions of focused partially coherent ShG beams depend on the astigmatic coefficient C6, spatial coherence parameter, decentered parameter a, Fresnel number Nw and position (x, y, z) in general. The astigmatism results in a difference between the beam widths in the x and y directions, but the M2 factor is independent of the astigmatism and decreases as the coherence increases and the decentered parameter decreases. The spatial beam shaping is achievable at the geometrical focal plane and other positions by properly varying the astigmatism and spatial coherence.
Keywords:propagation and focusing properties  astigmatic lens  partially coherent sinh-Gaussian (ShG) beam
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