【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.更多还原

【Abstract】 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 M~2-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 M~2-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.更多还原