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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

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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

High-order Laguerre-Gaussian mode laser generated based on spherical aberration cavity

Liu Jun-Jie, Sheng Quan, Wang Meng, Zhang Jun-Xiang, Geng Xing-Ning, Shi Zheng, Wang Ai-Hua, Shi Wei, Yao Jian-Quan
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  • 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LG0,±10和LG0,±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.
    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 LG0, ±10 to LG0, ±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 LG0, ±75 is obtained by such an SA mode-selecting technique under fixed pump power of 1.03 W.
      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
      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).
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    Forbes A 2019 Laser Photonics Rev. 13 1900140Google Scholar

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    Omatsu T, Miyamoto K, Lee A J 2017 J. Opt. 19 123002Google 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 224214Google Scholar

    Wang Y N, Zhao D, Fang A P, Jiang C W, Gao S Y, Li F L 2015 Acta Phys. Sin. 64 224214Google 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 327Google Scholar

    [7]

    Zhao Y, Liu Q, Zhou W, Shen D 2016 Opt. Express 24 15596Google 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 24095Google 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 12401Google Scholar

    [12]

    Chen Y F, Lan Y P, Wang S C 2001 Appl. Phys. B 72 167Google Scholar

    [13]

    Luo S Y, Cai Z P, Sheng C X, Li L, Chen Q 2020 Opt. Laser Technol. 127 106185Google Scholar

    [14]

    Kogelnik H, Li T 1966 Appl. Opt. 5 1550

    [15]

    Belanger P, Pare C 1991 Opt. Lett. 16 1057Google Scholar

    [16]

    Yonezawa K, Kozawa Y, Sato S 2006 Opt. Lett. 31 2151Google 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 174204Google Scholar

    Yao Q Q, Wang Q H, Feng C, Chen S, Jin G Y, Dong Y 2018 Acta Phys. Sin. 67 174204Google Scholar

    [19]

    Senatsky Y, Bisson J F, Shelobolin A, Shirakawa A, Ueda K 2009 Laser Phys. 19 911Google Scholar

    [20]

    Thirugnanasambandam M P, Senatsky Y 2010 Laser Phys. Lett. 7 637Google Scholar

    [21]

    Senatsky Y, Bission J F, Li J, Shirakawa A, Thirugnanasambandam M, Ueda K 2012 Opt. Rev. 19 201Google Scholar

    [22]

    Wang M, Ma Y, Sheng Q, He X, Liu J, Shi W, Yao J, Omatsu T 2021 Opt. Express 29 27783Google Scholar

  • 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.

    图 2  不同角向指数m的LG0, ±m光束理论相对尺寸

    Fig. 2.  Calculated relative beam sizes of the LG0, ±m mode laser.

    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).

    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).

    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.

    图 6  不同角向指数m对应的透镜L2处LG0, 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 LG0, m mode with different angular indices m at the lens L2 (normalized to the beam radius w of fundamental mode TEM00).

    图 7  LG0, ±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 LG0, ±75 high-order transverse mode output (pump power 1.03 W).

  • [1]

    Miles J P 2017 Opt. Express 25 11265Google Scholar

    [2]

    Forbes A 2019 Laser Photonics Rev. 13 1900140Google Scholar

    [3]

    Omatsu T, Miyamoto K, Lee A J 2017 J. Opt. 19 123002Google 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 224214Google Scholar

    Wang Y N, Zhao D, Fang A P, Jiang C W, Gao S Y, Li F L 2015 Acta Phys. Sin. 64 224214Google 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 327Google Scholar

    [7]

    Zhao Y, Liu Q, Zhou W, Shen D 2016 Opt. Express 24 15596Google 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 24095Google 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 12401Google Scholar

    [12]

    Chen Y F, Lan Y P, Wang S C 2001 Appl. Phys. B 72 167Google Scholar

    [13]

    Luo S Y, Cai Z P, Sheng C X, Li L, Chen Q 2020 Opt. Laser Technol. 127 106185Google Scholar

    [14]

    Kogelnik H, Li T 1966 Appl. Opt. 5 1550

    [15]

    Belanger P, Pare C 1991 Opt. Lett. 16 1057Google Scholar

    [16]

    Yonezawa K, Kozawa Y, Sato S 2006 Opt. Lett. 31 2151Google 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 174204Google Scholar

    Yao Q Q, Wang Q H, Feng C, Chen S, Jin G Y, Dong Y 2018 Acta Phys. Sin. 67 174204Google Scholar

    [19]

    Senatsky Y, Bisson J F, Shelobolin A, Shirakawa A, Ueda K 2009 Laser Phys. 19 911Google Scholar

    [20]

    Thirugnanasambandam M P, Senatsky Y 2010 Laser Phys. Lett. 7 637Google Scholar

    [21]

    Senatsky Y, Bission J F, Li J, Shirakawa A, Thirugnanasambandam M, Ueda K 2012 Opt. Rev. 19 201Google Scholar

    [22]

    Wang M, Ma Y, Sheng Q, He X, Liu J, Shi W, Yao J, Omatsu T 2021 Opt. Express 29 27783Google Scholar

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出版历程
  • 收稿日期:  2021-08-16
  • 修回日期:  2021-09-07
  • 上网日期:  2021-09-15
  • 刊出日期:  2022-01-05

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