CHEN Peifeng;QIAN Zhuanglin;LYU Xuan;

• 1:School of Optics and Electronic Information
• 2: Huazhong University of Science and Technology

Abstract：

The transformation of a Gaussian beam by a thin lens is an important component of the laser principles course, as it enhances students' understanding of laser optical system design. However, because the course usually omits the general propagation of arbitrary laser beams through linear optical systems, students often raise questions when they try to extend their knowledge. This paper derives, under the second-order moment definition, the waist diameter, waist position, and far-field divergence angle of a general laser beam after passing through a linear optical system represented by a ray-transfer matrix. In addition, we retrace the beam-parameter transformation with the q-parameter method, demonstrating the consistency of the two approaches and thereby reinforcing students' understanding of laser-beam behavior. The general beam-parameter transformation theory can be expected to find direct application in the design of multi-lens beam-transformation systems.

Key Words： laser principles;laser beam parameters;transformation Law

Abstract:

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Foundation:

Authors: CHEN Peifeng;QIAN Zhuanglin;LYU Xuan;

References：

• [1]SIEGMAN A E. New development in laser resonators[J].SPIE, 1990, 1224:2-14.
• [2]陈培锋,丘军林.由M2参数定义的光束传输变换理论[J].激光技术, 1996, 20(1):46-49.CHENPF,QIUJL.Lightbeampropagationfeaturesde-2finedbypropagationfactorM[J].LaserTechnology,1996,20(1):46-49.(inChinese)
• [3]丁小康,许昌,王志敏,等. 100W长纳秒脉冲光纤耦合输出532nm绿光激光器[J].原子能科学技术, 2023, 57(S1):281-288.DING X K, XU C, WANG Z M, et al. 100W Long-nanosecond-pulsed Fiber Coupling Output 532nm Green Laser[J].Atomic Energy Science and Technology, 2023, 57(S1):281-288.(in Chinese)
• [4]单小琴,李天昊,朱日宏.高功率激光器光束质量测量的衰减缩束实验[J].应用光学, 2023, 44(6):1250-1257.SHAN X Q, LI T H, ZHU R H. Experiment on attenuation and compression in beam quality measurement of high power laser[J]. Journal of Applied Optics, 2023, 44(6):1250-1257.(in Chinese)
• [5]单小琴,李天昊,朱日宏.高功率激光器光束质量测量的衰减缩束仿真研究[J].应用光学, 2024, 45(1):199-205.SHAN X Q, LI T H, ZHU R H. Simulation of attenuation and compression in beam quality measurement of high power laser[J]. Journal of Applied Optics, 2024, 45(1):199-205.(in Chinese)
• [6]张胜江,王明娣,郭敏超,等.高功率激光清洗头的设计与研究[J].应用激光, 2022, 42(2):91-96.ZHANG S J, WANG M D, GUO M C, et al. Design and research of high power laser cleaning head[J]. Applied Laser, 2022, 42(2):91-96.(in Chinese)
• [7]周炳琨,高以智,陈倜嵘,等.激光原理[M]. 6版.北京:国防工业出版社, 2009:70-84.ZHOU B K, GAO Y Z, CHEN T R, et al. Principles of lasers[M]. 6th ed. Beijing:National Defense Industry Press,2009:70-84.(in Chinese)