厄米-高斯光束在吸收介质中的传输特性  

Propagation Properties of Hermite-Gaussian Beams Propagating in Absorbing Media

作　　者：但有全[1] 祝颂军[1] 张彬[1] 

机构地区：[1]四川大学电子信息学院

出　　处：《四川大学学报（自然科学版）》2005年第4期749-754,共6页Journal of Sichuan University(Natural Science Edition)

基　　金：国家自然科学基金(60108004)

摘　　要：从复数波数定义和广义惠更斯-菲涅耳积分出发,推导出厄米-高斯(HG)光束在介质中通过傍轴ABCD光学系统后的一般传输公式.在此基础上,结合强度二阶矩方法,给出了相应的一般束宽变换公式以及通过一段吸收介质后的M2因子,并作了数值计算和分析.研究结果表明,除零阶和一阶外,HG光束的M2因子与介质中的传输距离、介质的吸收系数以及HG光束阶数有关.Based on the definition of complex wave number and the generalized Huygens-Fresnel diffraction integral, the closed-form propagation equation of Hermite-Gaussian（HG） beams passing through a paraxial optical ABCD system without aperture, in which the linear gain and absorption media are included, is derived.The beam-width propagation formula and the M2-factor of HG beams through absorption media are obtained on the basis of the second-order moment method. Numerical calculations are performed and the results are analyzed. It can been shown that the M2-factor of HG beams passing through absorption media depends on the propagation distance in media, absorption coefficient of the media and the beam order m.

关 键 词：厄米-高斯光束 复数波数 强度二阶矩 光束宽度 M^2因子 吸收系数 

分 类 号：O435[机械工程—光学工程] TN241[理学—光学]