基于腔内球差选模产生高阶拉盖尔-高斯模式激光

刘俊杰; 盛泉; 王盟; 张钧翔; 耿兴宁; 石争; 王爱华; 史伟; 姚建铨

doi:10.7498/aps.71.20211514

摘要

本文报道了基于腔内球差在端泵Nd:YVO₄激光器中选择单一高阶拉盖尔-高斯(LG)振荡模式的实验研究. 在激光谐振腔内使用短焦距透镜引入明显的球差, 使具有不同光斑半径的各阶LG模式的光路在空间上发生分离, 从而实现对模式的选择作用, 1.03 W泵浦功率下线偏振1064 nm激光能够在LG_0,±10和LG_0,±33之间以单横模工作. 分析发现适当的横模间球差是抑制边模、选择单一高阶LG模式的必要条件, 而过大的球差又会导致单一LG模式自身遭受明显的损耗, 不利于产生高阶的LG模式输出. 据此进一步优化实验参数, 获得了角向指数m达到±75的高阶LG模式输出.

关键词:

Abstract

The high-order Laguerre-Gaussian (LG) mode output from an end-pumped Nd:YVO₄ laser cavity with strong spherical aberration (SA) induced by short-focal-length lens is studied in this work. A long-focal-length lens L1 is used in the cavity to expand and collimate the beam, so that the beam incident on another short-focal-length lens L2 in the cavity undergoes a strong SA. Since the ring-shaped LG modes with different values of angular index m have different beam radii, the actual focal points of each order of beam are then spatially displaced. A flat output coupler (OC) is located near the focal point of L2, which is composed of a cat-eye retroreflector together with the lens. Such a retroreflector can provide only ideal retroreflection to the incident beam with a focal point exactly on the OC. Given the focal point displacements of the LG beams with different orders, such a mechanism can be used for implementing the transverse mode selection. The mode which has an actual focal point on the OC has a smaller loss than the other defocused modes. With an a-cut Nd:YVO₄ as laser crystal, scalar (linear-polarized) single-mode LG output with radical index p = 0 and angular index m>0 is obtained. The laser mode-order is selectable from LG_{0, ±10} to LG_{0, ±33} under 878.6-nm incident diode pump power of 1.03 W, by simply adjusting the distance between the OC and L2 in a range of 0.5 mm, when using lens L1 with f = 150 mm and lens L2 of f = 33.9 mm. It is found that sufficient SA which makes the optical paths of the neighboring modes well distinguishable is essential for single-mode operation of a wanted order of LG mode. However, too strong an SA can stop the high-order mode beam from oscillating, since the width and radius of the ring-shaped LG mode are an increasing function of indices p and m, which bring a stronger loss to the corresponding mode. Based on this analysis, we turn to a focal-length combination of f₁ = 100 mm and f₂ = 51.8 mm, to reduce the SA to a level suitable for further higher mode operation. A highest-order LG_{0, ±75} is obtained by such an SA mode-selecting technique under fixed pump power of 1.03 W.

Keywords:

作者及机构信息

1.
天津大学精密仪器与光电子工程学院, 天津　300072

2.
天津大学, 光电信息技术教育部重点实验室, 天津　300072

3.
天津津航技术物理研究所, 天津　300308

4.
光电信息控制和安全技术重点实验室, 天津　300308

通信作者: 盛泉, shengquan@tju.edu.cn ; 史伟, shiwei@tju.edu.cn ;

基金项目: 国家自然科学基金(批准号: 61975146)资助的课题

Authors and contacts

1.
School of Precision Instrument and Optoelectronics Engineering, Tianjin University, Tianjin 300072, China

2.
Key Laboratory of Optoelectronic Information Science and Technology (Ministry of Education), Tianjin University, Tianjin 300072, China

3.
Tianjin Jinhang Institute of Technical Physics, Tianjin 300308, China

4.
Science and Technology on Electro-Optical Information Security Control Laboratory, Tianjin 300308, China

Corresponding author: Sheng Quan, shengquan@tju.edu.cn ; Shi Wei, shiwei@tju.edu.cn ;

Funds: Project supported by the National Natural Science Foundation of China (Grant No. 61975146).

文章全文 : translate this paragraph

参考文献

[1]	Miles J P 2017 Opt. Express 25 11265 Google Scholar
[2]	Forbes A 2019 Laser Photonics Rev. 13 1900140 Google Scholar
[3]	Omatsu T, Miyamoto K, Lee A J 2017 J. Opt. 19 123002 Google Scholar
[4]	王延娜, 赵迪, 方爱平, 蒋臣威, 高韶燕, 李福利 2015 物理学报 64 224214 Google Scholar Wang Y N, Zhao D, Fang A P, Jiang C W, Gao S Y, Li F L 2015 Acta Phys. Sin. 64 224214 Google Scholar
[5]	张光宇, 刘琳婧, 张成龙 2017 光子学报 46 0101001 Zhang G Y, Liu L J, Zhang C L 2017 Acta Phot. Sin. 46 0101001
[6]	Bisson J F, Senatsky Y, Ueda K I 2005 Laser Phys. Lett. 2 327 Google Scholar
[7]	Zhao Y, Liu Q, Zhou W, Shen D 2016 Opt. Express 24 15596 Google Scholar
[8]	徐云, 余俊杰, 韩侠辉, 李桂运, 夏克贵, 周常河, 李建郎 2016 中国激光 43 14 Xu Y, Yu J J, Han X H, Li G Y, Xia K G, Zhou C H, Li J L 2016 Chin. J. Las. 43 14
[9]	Ma Y, Lee A J, Pask H M, Miyamoto K, Omatsu T 2020 Opt. Express 28 24095 Google Scholar
[10]	Ito A, Kozawa Y, Sato S 2010 J. Opt. Soc. Am. A 27 2072
[11]	Lee A J, Omatsu T, Pask H M 2013 Opt. Express 21 12401 Google Scholar
[12]	Chen Y F, Lan Y P, Wang S C 2001 Appl. Phys. B 72 167 Google Scholar
[13]	Luo S Y, Cai Z P, Sheng C X, Li L, Chen Q 2020 Opt. Laser Technol. 127 106185 Google Scholar
[14]	Kogelnik H, Li T 1966 Appl. Opt. 5 1550
[15]	Belanger P, Pare C 1991 Opt. Lett. 16 1057 Google Scholar
[16]	Yonezawa K, Kozawa Y, Sato S 2006 Opt. Lett. 31 2151 Google Scholar
[17]	郁道银, 谈恒英 2016 工程光学 (北京: 机械工业出版社) Yu D Y, Tan H Y 2016 Engineering Optics (Vol. 4) (Beijing: China Machine Press) (in Chinese)
[18]	姚强强, 王启晗, 冯池, 陈思, 金光勇, 董渊 2018 物理学报 67 174204 Google Scholar Yao Q Q, Wang Q H, Feng C, Chen S, Jin G Y, Dong Y 2018 Acta Phys. Sin. 67 174204 Google Scholar
[19]	Senatsky Y, Bisson J F, Shelobolin A, Shirakawa A, Ueda K 2009 Laser Phys. 19 911 Google Scholar
[20]	Thirugnanasambandam M P, Senatsky Y 2010 Laser Phys. Lett. 7 637 Google Scholar
[21]	Senatsky Y, Bission J F, Li J, Shirakawa A, Thirugnanasambandam M, Ueda K 2012 Opt. Rev. 19 201 Google Scholar
[22]	Wang M, Ma Y, Sheng Q, He X, Liu J, Shi W, Yao J, Omatsu T 2021 Opt. Express 29 27783 Google Scholar

施引文献

图 1 高阶拉盖尔-高斯模式激光器光路示意图

Fig. 1. Schematic of the high-order Laguerre-Gaussian mode laser.

下载: 全尺寸图片幻灯片

图 2 不同角向指数m的LG_{0, ±m}光束理论相对尺寸

Fig. 2. Calculated relative beam sizes of the LG_{0, ±m} mode laser.

下载: 全尺寸图片幻灯片

图 3 输出镜M2处于不同位置时激光输出的典型近场和远场光斑(入射泵浦功率1.03 W)

Fig. 3. Typical near- and Far-field beam patterns of the laser output when the output coupler M2 was located at different positions (incident pump power 1.03 W).

下载: 全尺寸图片幻灯片

图 4 激光器处于不同运转模式时的激光输出功率(泵浦功率1.03 W)

Fig. 4. Laser output power when the laser operating in different modes (pump power 1.03 W).

下载: 全尺寸图片幻灯片

图 5 不同环形光斑半径时球差引起的焦点偏移计算值

Fig. 5. Calculated focal point displacement induced by SA considering the radius of the ring LG beams.

下载: 全尺寸图片幻灯片

图 6 不同角向指数m对应的透镜L2处LG_{0, m}模式的光斑半径以及环宽度（对基模TEM₀₀光斑半径w归一）

Fig. 6. Calculated beam radii and the ring widths of the LG_{0, m} mode with different angular indices m at the lens L2 (normalized to the beam radius w of fundamental mode TEM₀₀).

下载: 全尺寸图片幻灯片

图 7 LG_{0, ±75}高阶横模输出的近场(a)和远场(b)激光光斑(泵浦功率1.03 W)

Fig. 7. (a) Near-field and (b) far-field beam patterns of the LG_{0, ±75} high-order transverse mode output (pump power 1.03 W).

下载: 全尺寸图片幻灯片

[1]	Miles J P 2017 Opt. Express 25 11265 Google Scholar
[2]	Forbes A 2019 Laser Photonics Rev. 13 1900140 Google Scholar
[3]	Omatsu T, Miyamoto K, Lee A J 2017 J. Opt. 19 123002 Google Scholar
[4]	王延娜, 赵迪, 方爱平, 蒋臣威, 高韶燕, 李福利 2015 物理学报 64 224214 Google Scholar Wang Y N, Zhao D, Fang A P, Jiang C W, Gao S Y, Li F L 2015 Acta Phys. Sin. 64 224214 Google Scholar
[5]	张光宇, 刘琳婧, 张成龙 2017 光子学报 46 0101001 Zhang G Y, Liu L J, Zhang C L 2017 Acta Phot. Sin. 46 0101001
[6]	Bisson J F, Senatsky Y, Ueda K I 2005 Laser Phys. Lett. 2 327 Google Scholar
[7]	Zhao Y, Liu Q, Zhou W, Shen D 2016 Opt. Express 24 15596 Google Scholar
[8]	徐云, 余俊杰, 韩侠辉, 李桂运, 夏克贵, 周常河, 李建郎 2016 中国激光 43 14 Xu Y, Yu J J, Han X H, Li G Y, Xia K G, Zhou C H, Li J L 2016 Chin. J. Las. 43 14
[9]	Ma Y, Lee A J, Pask H M, Miyamoto K, Omatsu T 2020 Opt. Express 28 24095 Google Scholar
[10]	Ito A, Kozawa Y, Sato S 2010 J. Opt. Soc. Am. A 27 2072
[11]	Lee A J, Omatsu T, Pask H M 2013 Opt. Express 21 12401 Google Scholar
[12]	Chen Y F, Lan Y P, Wang S C 2001 Appl. Phys. B 72 167 Google Scholar
[13]	Luo S Y, Cai Z P, Sheng C X, Li L, Chen Q 2020 Opt. Laser Technol. 127 106185 Google Scholar
[14]	Kogelnik H, Li T 1966 Appl. Opt. 5 1550
[15]	Belanger P, Pare C 1991 Opt. Lett. 16 1057 Google Scholar
[16]	Yonezawa K, Kozawa Y, Sato S 2006 Opt. Lett. 31 2151 Google Scholar
[17]	郁道银, 谈恒英 2016 工程光学 (北京: 机械工业出版社) Yu D Y, Tan H Y 2016 Engineering Optics (Vol. 4) (Beijing: China Machine Press) (in Chinese)
[18]	姚强强, 王启晗, 冯池, 陈思, 金光勇, 董渊 2018 物理学报 67 174204 Google Scholar Yao Q Q, Wang Q H, Feng C, Chen S, Jin G Y, Dong Y 2018 Acta Phys. Sin. 67 174204 Google Scholar
[19]	Senatsky Y, Bisson J F, Shelobolin A, Shirakawa A, Ueda K 2009 Laser Phys. 19 911 Google Scholar
[20]	Thirugnanasambandam M P, Senatsky Y 2010 Laser Phys. Lett. 7 637 Google Scholar
[21]	Senatsky Y, Bission J F, Li J, Shirakawa A, Thirugnanasambandam M, Ueda K 2012 Opt. Rev. 19 201 Google Scholar
[22]	Wang M, Ma Y, Sheng Q, He X, Liu J, Shi W, Yao J, Omatsu T 2021 Opt. Express 29 27783 Google Scholar

[1]	黄梓樾, 邓宇, 季小玲. 球差对高功率激光上行大气传输光束质量的影响. 物理学报, 2021, 70(23): 234202. doi: 10.7498/aps.70.20211226
[2]	雍康乐, 闫家伟, 唐善发, 张蓉竹. 彗差和球差对涡旋光束斜程传输特性的影响. 物理学报, 2020, 69(1): 014201. doi: 10.7498/aps.69.20191254
[3]	王梦宇, 孟令俊, 杨煜, 钟汇凯, 吴涛, 刘彬, 张磊, 伏燕军, 王克逸. 扁长型微瓶腔中的回音壁模式选择及Fano谐振. 物理学报, 2020, 69(23): 234203. doi: 10.7498/aps.69.20200817
[4]	连天虹, 王石语, 寇科, 刘芸. 离轴抽运厄米-高斯模固体激光器. 物理学报, 2020, 69(11): 114202. doi: 10.7498/aps.69.20200086
[5]	杨文海, 刁文婷, 蔡春晓, 宋学瑞, 冯付攀, 郑耀辉, 段崇棣. 1064 nm固体激光器和光纤激光器在制备压缩真空态光场实验中的对比研究. 物理学报, 2019, 68(12): 124201. doi: 10.7498/aps.68.20182304
[6]	姚强强, 王启晗, 冯池, 陈思, 金光勇, 董渊. 数值模拟抽运分布对端泵激光器晶体热透镜球差的影响. 物理学报, 2018, 67(17): 174204. doi: 10.7498/aps.67.20180113
[7]	李小泽, 滕雁, 王建国, 宋志敏, 张黎军, 张余川, 叶虎. 过模结构表面波振荡器模式选择. 物理学报, 2013, 62(8): 084103. doi: 10.7498/aps.62.084103
[8]	何广源, 郭靖, 焦中兴, 王彪. 固体激光器热透镜效应的调控. 物理学报, 2012, 61(9): 094217. doi: 10.7498/aps.61.094217
[9]	宋国峰, 张宇, 郭宝山, 汪卫敏. 表面等离子体调制单模面发射激光器的研究. 物理学报, 2009, 58(10): 7278-7281. doi: 10.7498/aps.58.7278
[10]	李磊, 赵长明, 张鹏, 杨苏辉. 激光二极管抽运频差可调谐双频固体激光器的研究. 物理学报, 2007, 56(5): 2663-2669. doi: 10.7498/aps.56.2663
[11]	张秋琳, 苏红新, 孙江, 郭庆林, 付广生. LD抽运被动调Q固体激光器的脉冲稳定性. 物理学报, 2007, 56(10): 5818-5820. doi: 10.7498/aps.56.5818
[12]	薄勇, 耿爱丛, 毕勇, 孙志培, 杨晓东, 李瑞宁, 崔大复, 许祖彦. 高平均功率调Q准连续Nd:YAG激光器. 物理学报, 2006, 55(3): 1171-1175. doi: 10.7498/aps.55.1171
[13]	刘劲松, 刘海, 王春, 吕健滔, 樊婷, 王晓东. 二维随机激光器的模式选择及阈值与饱和特性. 物理学报, 2006, 55(8): 4123-4131. doi: 10.7498/aps.55.4123
[14]	柳强, 巩马理, 潘圆圆, 李晨. 边缘抽运复合Yb:YAG/YAG薄片激光器设计与功率扩展. 物理学报, 2004, 53(7): 2159-2164. doi: 10.7498/aps.53.2159
[15]	关俊, 李金萍, 程光华, 陈国夫, 侯洵. 端面抽运固体激光器热透镜效应的实验研究. 物理学报, 2004, 53(6): 1804-1809. doi: 10.7498/aps.53.1804
[16]	赵光普, 吕百达. 有球差多色高斯光束衍射引起的光谱开关. 物理学报, 2004, 53(9): 2974-2979. doi: 10.7498/aps.53.2974
[17]	季小玲, 陶向阳, 吕百达. 光束控制系统热效应与球差对激光光束质量的影响. 物理学报, 2004, 53(3): 952-960. doi: 10.7498/aps.53.952
[18]	王石语, 过振, 傅君眉, 蔡德芳, 文建国, 薛海中, 唐映德. 激光二极管抽运固体激光器场分布的热不稳定性研究. 物理学报, 2003, 52(2): 355-361. doi: 10.7498/aps.52.355
[19]	尚连聚. 端面抽运固体激光器的腔模匹配分析. 物理学报, 2003, 52(6): 1408-1411. doi: 10.7498/aps.52.1408
[20]	张潮波, 宋峰, 孟凡臻, 丁欣, 张光寅, 商美茹. 利用输出功率测量激光二极管端面抽运的固体激光器热透镜焦距. 物理学报, 2002, 51(7): 1517-1520. doi: 10.7498/aps.51.1517

计量

文章访问数: 4590
PDF下载量: 145
被引次数: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

搜索

留言板

基于腔内球差选模产生高阶拉盖尔-高斯模式激光