环状光束通过像散透镜的变换特性  

Transformation properties of annular beams passing through an astigmatic lens

作　　者：张帅[1] 张彬[1] 

机构地区：[1]四川大学电子信息学院,成都610064

出　　处：《强激光与粒子束》2008年第2期197-200,共4页High Power Laser and Particle Beams

基　　金：教育部新世纪优秀人才支持计划基金资助课题(NCET-05-0784)

摘　　要：基于Tovar提出的平顶多高斯光束模型,给出了环状光束模型。利用广义惠更斯-菲涅耳衍射积分理论,对环状光束通过像散透镜后的传输和聚焦特性进行计算和分析,并讨论了透镜像散对环状光束经透镜变换后对光束质量的影响。研究结果表明:环状光束通过像散透镜后变为非旋转对称光束;聚焦光强随着透镜像散系数的增大而逐渐减弱,聚焦光斑的方位仅由像散系数确定;在光束阶数和入射光波波长一定的情况下,环状光束通过像散透镜的变换特性和光束质量不仅与透镜像散系数有关,还与系统菲涅耳数有关,像散系数增大或菲涅耳数减小时,光束质量变差。The model of annular beams is given based on the model of flattened multi-Gaussian beams proposed by Tovar. Using the generalized Huygens-Fresnel diffraction integral, the transformation and focusing properties of annular beams passing through an astigmatic lens are studied and analyzed. Furthermore, the effect of astigmatism on the beam quality of the annular beams passing through an astigmatic lens is also discussed. The results show that the annular beams become non-rotational symmetric after passing through an astigmatic lens. The focusing intensity decreases gradually with the increasing of the astigmatic coefficients. The azimuth angle of focusing spot is determined merely by astigmatic coefficients. For the given beam orders and the wavelength of the annular beams, the transformation properties and the beam quality of the annular beams passing through an as- tigmatic lens depend not only on astigmatic coefficients, but also on the Fresnel number of the systems. With the increase of the astigmatic coefficient, or decrease of the Fresnel number, the beam quality becomes worse.

关 键 词：环状光束 像散 变换特性 光束质量 光束聚焦 

分 类 号：O435[机械工程—光学工程]