球面折射系统对高斯光束的变换和传输模拟  

Transformation and simulation of Gaussian beams through spherical refractive surfaces

作　　者：秦华[1] 张爽[1] 李文瑞[1] 魏功祥[1] 刘云燕[1] 

机构地区：[1]山东理工大学理学院,山东淄博255000

出　　处：《大学物理》2017年第2期11-17,54,共8页College Physics

基　　金：国家自然科学基金项目(11404191);山东自然科学基金(ZR2013FM007)资助

摘　　要：为研究高斯光束在厚透镜中的传输特性,由几何光学处理傍轴光线的方法,理论上推导了高斯光束的物像束腰位置以及物像束腰半径间的关系,并由高斯光束传输光线就是单叶双曲面直母线的假设,光线追迹模拟了高斯光束在透镜系统的传输过程.模拟结果表明,当物高斯光束束腰位置与透镜系统物方焦点的距离远大于高斯光束的共焦参数时,用几何光学傍轴光线方法所得到的高斯光束束腰位置和半径的理论结果与光线追迹得到的高斯光束束腰位置和半径模拟结果一致,否则,光线追迹模拟结果不正确.In order to study Gaussian beam propagation in the spherical refractive surfaces,the relationship between the location and radius of the object beam waist and ones of the image beam waist are deduced theoretically by using the paraxial ray tracing in geometrical optics. By hypothesis that Gaussian beam ray is the rectilinear generatrices of hyperboloid of one sheet,we simulate the Gaussian beam propagation through lens systems with the raytracing method. Simulation results show that when the distance between the Gaussian beam waist and the object focus of a lens system is much larger than the confocal parameter of the Gaussian beam,the simulation results for the waist location and the waist radius are consistent with the theoretical results obtained from the paraxial approximation,otherwise,the simulation results will be inconsistent with theoretical results.

关 键 词：高斯光束 球面折射系统 光线追迹 传输模拟 

分 类 号：O439[机械工程—光学工程]