高能激光光束质量<i>β</i>因子的影响因素分析

王艳茹; 王建忠; 冉铮惠; 丁宇洁

doi:10.37188/CO.2020-0137

高能激光光束质量β因子的影响因素分析

doi: 10.37188/CO.2020-0137

中国工程物理研究院计量测试中心，四川绵阳 621900

基金项目: 国防科工局技术基础项目（No. JSJL2017212B002）

详细信息

作者简介:
王艳茹（1983—），女，陕西渭南人，博士，高级工程师，2011年于中国科学院光电技术研究所光学工程专业获得博士学位，目前主要从事光学计量与检测技术方面的研究工作。E-mail：wyr3235@163.com

王建忠（1974—），男，四川大邑人，硕士，高级工程师，分别于四川大学和电子科技大学获学士和硕士学位，主要从事无线电及光学计量测试技术研究。E-mail：WJLZ1999@sina.com

中图分类号: O438
计量
- 文章访问数: 2150
- HTML全文浏览量: 553
- PDF下载量: 227
- 被引次数: 0
出版历程
- 收稿日期: 2020-07-27
- 修回日期: 2020-08-15
- 网络出版日期: 2021-02-05
- 刊出日期: 2021-03-23

Analysis of effects on the beam quality β factor of high power laser

Metrology and Testing Center, China Academy of Engineering Physics, Mianyang 621900, China

Funds: Supported by Basic Project of Science Technology and Industry for National Defense (No. JSJL2017212B002)

More Information

Corresponding author: WJLZ1999@sina.com

摘要

摘要: 采用二维线性调频z变换算法，分析了影响高能激光系统光束质量β因子测量准确性的因素。本文详细分析了采样点数（即衍射极限内的采样点数）和衍射光斑图像的能量损失率对光束质量β因子的影响。在衍射极限角直径2 (λ/D)范围内不同采样点数的模拟结果表明：采样点数越高，光斑衍射图像的分辨率越高，进而光束质量β因子计算越准确。在一倍衍射极限角2.44 (λ/D)范围内应最低不少于10个采样点，即可将β因子的测量误差控制在3%。同时，不同像差对光斑图像能量损失率的敏感程度不同，相同能量损失率下，高阶像差的β因子测量误差要高于低阶像差。特别是球差类的像差对能量损失最为敏感, 约5%的能量损失就可带来15%~30%的β因子计算误差。
- z变换 /
- 光束质量 /
- β因子 /
- 采样点数 /
- 能量损失
Abstract: The influencing factors of beam quality β factor of high-energy laser system is analyzed based on two-dimension chirp z transformation. The effects of the sampling number within the diffraction limit and the beam spot’s energy loss on the beam quality β factor are analyzed. The simulation results based on different sampling numbers indicate that a larger sampling number induces higher beam spot diffraction image resolution which is beneficial for more accurate calculation of a beam quality β factor. When the sampling number of the diffraction limit angle is no less than ten, the measurement error can be limited within 3%. Meanwhile, different wavefront aberrations have different sensitivities against beam spot energy loss. The beam quality β factor of high order wavefront aberration is larger than that of low order aberration with equal energy loss. Especially, the spherical aberration is most sensitive to energy loss, and about 5% energy loss can induce 15% to 30% calculation error of the β factor.
- chirp z transformation /
- beam quality /
- β factor /
- sampling number /
- energy loss

HTML全文

图 1 基于不同采样点数的衍射光斑图像

Figure 1. The obtained diffraction beam figures based on different sampling numbers

下载: 全尺寸图片幻灯片

图 2 理想光束质量β因子随采样点数的变化规律

Figure 2. Beam quality β factor varies with sampling number of the ideal beam

下载: 全尺寸图片幻灯片

图 3 球差类像差对应的光束质量β因子随采样点数的变化规律

Figure 3. Variations of beam quality β with sampling number corresponding to the spherical, second-spherical and third-spherical wavefront aberrations

下载: 全尺寸图片幻灯片

图 4 球差像差A11对应的桶中功率（PIB）随采样点数的变化

Figure 4. Variations of power in bucket (PIB) with sampling number for the spherical wavefront aberration

下载: 全尺寸图片幻灯片

图 5 几种典型像差类型的PIB曲线和光束质量β因子值

Figure 5. PIB curves and beam quality β of several typical wavefront aberrations

下载: 全尺寸图片幻灯片

图 6 （a）离焦、（b）像散、（c）彗差和（d）初级球差对应的光束质量β因子测量误差与能量损失比的关系曲线

Figure 6. Relationship of measurement error curves of β factor with different energy losses corresponding to (a) the power, (b) the astigmatism, (c) the coma and (d) the spherical aberrations respectively

下载: 全尺寸图片幻灯片

图 7 不同像差的能量损失比与光束质量β因子的测量误差的关系

Figure 7. Relationship between measurement errors of β factor and energy loss ratios of different aberrations

下载: 全尺寸图片幻灯片

参考文献(15)

[1]	苏毅, 万敏. 高能激光系统[M]. 北京: 国防工业出版社, 2004: 1-9. SU Y, WAN M. High Energy Laser System[M]. Beijing: National Defense Industry Press, 2004: 1-9. (in Chinese)
[2]	吕百达, 康小平. 对激光光束质量一些问题的认识[J]. 红外与激光工程,2007,36(1):47-51. doi: 10.3969/j.issn.1007-2276.2007.01.012 LÜ B D, KANG X P. Some aspects of laser beam quality[J]. Infrared and Laser Engineering, 2007, 36(1): 47-51. (in Chinese) doi: 10.3969/j.issn.1007-2276.2007.01.012
[3]	田英华, 叶一东, 向汝建, 等. 光束质量因子测量的不确定度分析[J]. 强激光与粒子束,2008,20(7):1076-1078. TIAN Y H, YE Y D, XIANG R J, et al. Evaluation of uncertainty in beam quality measurement[J]. High Power Laser and Particle Beams, 2008, 20(7): 1076-1078. (in Chinese)
[4]	闫宏宇, 高欣, 宋健, 等. 976 nm宽条形高功率半导体激光器的光束质量M²评价[J]. 发光学报,2019,40(2):196-203. doi: 10.3788/fgxb20194002.0196 YAN H Y, GAO X, SONG J, et al. Evaluation of beam quality M² for 976 nm wide stripe high power semiconductor laser[J]. Chinese Journal of Luminescence, 2019, 40(2): 196-203. (in Chinese) doi: 10.3788/fgxb20194002.0196
[5]	陈诚, 郑加金, 韦玮, 等. 基于CCD测量激光光束质量M²[J]. 发光学报,2017,38(5):643-648. CHEN CH, ZHENG J J, WEI W, et al. Measurement of laser beam quality M² based on CCD[J]. Chinese Journal of Luminescence, 2017, 38(5): 643-648. (in Chinese)
[6]	许坤, 付林杰, 钟发成, 等. 高光束质量垂直腔面发射激光器同相耦合阵列[J]. 发光学报,2018,39(6):844-849. doi: 10.3788/fgxb20183906.0844 XU K, FU L J, ZHONG F CH, et al. High beam quality in-phase coupled vertical cavity surface emitting laser array[J]. Chinese Journal of Luminescence, 2018, 39(6): 844-849. (in Chinese) doi: 10.3788/fgxb20183906.0844
[7]	张震, 周孟莲, 张检民, 等. CCD中的激光光斑阴影现象及机理[J]. 光学精密工程,2013,21(5):1365-1371. doi: 10.3788/OPE.20132105.1365 ZHANG ZH, ZHOU M L, ZHANG J M, et al. Shadows of laser spots in CCD and their mechanism[J]. Optics and Precision Engineering, 2013, 21(5): 1365-1371. (in Chinese) doi: 10.3788/OPE.20132105.1365
[8]	熊刚, 丁天怀, 王鹏. 应用属性距离加权平均滤波提高CCD光斑的亚像素定位精度[J]. 光学精密工程,2012,20(5):1102-1109. doi: 10.3788/OPE.20122005.1102 XIONG G, DING T H, WANG P. Improvement of sub-pixei location accuracy of light-spot on CCD with ADWA filter[J]. Optics and Precision Engineering, 2012, 20(5): 1102-1109. (in Chinese) doi: 10.3788/OPE.20122005.1102
[9]	宋建中, 韩广良, 顾海军. 提高外场脉冲激光光斑测量距离的有效方法[J]. 光学精密工程,2002,10(3):300-303. SONG J ZH, HAN G L, GU H J. Effective methods for raising the measured distance of the pulse laser spots removed target in outfield[J]. Optics and Precision Engineering, 2002, 10(3): 300-303. (in Chinese)
[10]	杨鹏翎, 冯国斌, 王群书, 等. 中红外高能激光光斑探测器[J]. 中国激光,2009,36(8):1979-1985. doi: 10.3788/CJL20093608.1979 YANG P L, FENG G B, WANG Q SH, et al. Min-infrared high energy laser beam sensor[J]. Chinese Journal of Lasers, 2009, 36(8): 1979-1985. (in Chinese) doi: 10.3788/CJL20093608.1979
[11]	李晓艳, 张磊, 张红刚, 等. 基于双CCD探测的外场高精度激光光斑测试技术[J]. 红外与激光工程,2015,44(1):59-64. doi: 10.3969/j.issn.1007-2276.2015.01.010 LI X Y, ZHANG L, ZHANG H G, et al. Technology of high precision test for laser spot based on double CCD detection in the outfield[J]. Infrared and Laser Engineering, 2015, 44(1): 59-64. (in Chinese) doi: 10.3969/j.issn.1007-2276.2015.01.010
[12]	陈少杰, 张亮, 王建宇. 探测器条状噪声对精跟踪系统光斑定位的影响[J]. 中国激光,2017,44(9):0906008. doi: 10.3788/CJL201744.0906008 CHEN SH J, ZHANG L, WANG J Y. Effect of stripe noise of detector on light spot location of fine tracking system[J]. Chinese Journal of Lasers, 2017, 44(9): 0906008. (in Chinese) doi: 10.3788/CJL201744.0906008
[13]	贺元兴, 李新阳. 阈值法对激光远场焦斑质量测量和计算的影响[J]. 中国激光,2012,39(12):1208001. doi: 10.3788/CJL201239.1208001 HE Y X, LI X Y. Influence of threshold method on calculation results of far-field spot quality[J]. Chinese Journal of Lasers, 2012, 39(12): 1208001. (in Chinese) doi: 10.3788/CJL201239.1208001
[14]	刘志强, 宋庆和, 刘超, 等. 基于虚拟光波场的菲涅耳衍射计算及应用研究[J]. 应用光学,2018,39(2):196-199. LIU ZH Q, SONG Q H, LIU CH, et al. Fresnel diffraction calculation with virtual light wave field and its application[J]. Journal of Applied Optics, 2018, 39(2): 196-199. (in Chinese)
[15]	王艳茹, 冉铮惠, 丁宇洁. 二维线性调频z变换用于光束质量β因子计算[J]. 中国光学,2020,13(5):965-974. doi: 10.37188/CO.2020-0079 WANG Y R, RAN ZH H, DING Y J. Beam quality β factor calculation based on two-dimensional chirp z transformation[J]. Chinese Optics, 2020, 13(5): 965-974. (in Chinese) doi: 10.37188/CO.2020-0079