高斯光束准直倍率的研究及再讨论  

Research and Rediscussion on Collimation Factor of Gaussian Beam

作　　者：田明旺 王一帆[1] 张书练[1] 谈宜东[1] Tian Mingwang;Wang Yifan;Zhang Shulian;Tan Yidong(State Key Laboratory of Precision Measurement Technology and Instruments,Department of Precision Instrument,Tsinghua University,Beijing 100084,China)

机构地区：[1]清华大学精密仪器系精密测试技术与仪器国家重点实验室,北京100084

出　　处：《光学学报》2021年第9期153-157,共5页Acta Optica Sinica

基　　金：国家自然科学基金优秀青年基金(51722506);基金委国际合作交流基金(51961130387);英国皇家学会“牛顿高级学者”项目基金(191072)。

摘　　要：基于高斯光束q参数变换理论严格推导出倒置望远系统对高斯光束的准直倍率,结果表明,在不考虑透镜遮挡条件下,倒置望远系统对高斯光束的准直倍率仅与几何压缩比有关,与高斯光束的束腰半径及物距无关。进一步研究发现,在适当的近似前提下,本文推导结果可与激光原理教材中的相关推导获得统一。对本文算法进行仿真,结果显示,在满足激光原理教材讨论的条件下,本文得到的准直倍率与其所得结果相一致。本文所得高斯光束经倒置望远系统的准直倍率可以为相关科研与工程实践活动中的准直操作部分提供更准确的参考。Based on the theory of q-parameter,the collimating factor of the Gaussian beam transformed by the inverted telescope system has been strictly deduced.Assuming the aperture of lens is larger than beam size,the collimation factor of the system is determined by the geometric compression only,instead of waist radius or object distance.Further research found that under the appropriate approximation premise,the derivation results in this paper can be unified with the relevant derivations in the domestic laser principle textbook.The proposed algorithm is simulated,and the results show that the collimation factor obtained in this paper is consistent with the results obtained under the conditions discussed in the laser principle textbook.The collimation factor of the Gaussian beam through the inverted telephoto system obtained in this paper can provide a more accurate reference for the collimation operation part of related scientific research and engineering practice activities.

关 键 词：激光光学 高斯光束 准直倍率 

分 类 号：O439[机械工程—光学工程]