Influence of thermal lens effect on second harmonic process in semi-monolithic cavity scheme

Zhang Xiao-Li; Wang Qing-Wei; Yao Wen-Xiu; Shi Shao-Ping; Zheng Li-Ang; Tian Long; Wang Ya-Jun; Chen Li-Rong; Li Wei; Zheng Yao-Hui

doi:10.7498/aps.71.20220575

Abstract

Second harmonic generation (SHG) is an effective way to generate short wavelength laser with high power. The SHG is accompanied with the absorptions of fundamental waves and harmonic waves, which converts a fraction of the two waves deposit energy into heat, causing a temperature gradient along the radial direction of the periodically poled potassium titanyl phosphate (PPKTP) crystal. The inhomogeneous temperature distribution causes thermal lensing in the crystal. The thermal lensing effect will deform the spatial mode of the SHG cavity and result in the mode-mismatching of the fundamental wave to the SHG cavity, and therefore the conversion efficiency of SHG process is reduced. Moreover, with the increase of injected fundamental wave power, the influence caused by thermal lens becomes more and more serious. In order to obtain a high-efficiency frequency conversion, it is necessary to take the measure to minimize the effect caused by thermal lensing. In this paper, we report on a high efficiency generation of green laser at 532 nm by external cavity SHG process with a semi-monolithic standing cavity. The influences of thermal lens effect on the optimal conversion efficiency in different semi-monolithic cavities are theoretically analyzed. The variations of conversion efficiency with the pump power in “plane-concave” semi-monolithic cavity based on parallel crystal and also in “concave-concave” semi-monolithic cavity based on concave crystal are quantitatively analyzed. In experiments, two types of cavity structures are built to measure the variation of frequency doubling conversion efficiency with pump power. For the “plane-concave” semi-monolithic cavity, the maximum green laser power of 747 mW is obtained and the corresponding conversion efficiency reaches 93.4%±3%, with 800 mW infrared laser injected. For the “concave-concave” semi-monolithic cavity, the maximum green laser power of 529 mW is obtained and the corresponding conversion efficiency is 88.2% ± 3%, with 600 mW infrared laser injected. The results show that the thermal lens affects the optimal conversion efficiency more seriously in “concave-concave” semi-monolithic cavity than in “plane-concave” semi-monolithic cavity. Furthermore, the influence of thermal lens effect turns higher and higher with the increase of the loss in the cavity. It is obvious that the “plane-concave” semi-monolithic cavity is more suitable for the SHG process and has many potential applications in quantum optics and cold atom physics and provides a guidance for future research on high-efficiency SHG process.

Keywords:

Authors and contacts

1.
State Key Laboratory of Quantum Optics and Quantum Optics Devices, Institute of Opto-Electronics, Shanxi University, Taiyuan 030006, China
2.
Collaborative Innovation Center of Extreme Optics, Shanxi University, Taiyuan 030006, China

Corresponding author: Tian Long, tianlong@sxu.edu.cn

Funds: Project supported by the National Key R&D Program of China (Grant No. 2020YFC2200402), the National Natural Science Foundation of China (Grants Nos. 62027821, 11874250, 62035015, 12174234), the Key R&D Program of Shanxi, China (Grant Nos. 201903D111001, 202102150101003), and the Program for Sanjin Scholar of Shanxi Province, China.

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References

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[46]	Mousavi L, Sabaeian M, Nadgaran H 2013 Opt. Commun. 300 69 Google Scholar
[47]	Rezaee M M, Sabaeian M, Motazedian A, Jalil-Abadi F S, Askari H, Khazrk I 2015 Appl. Opt. 54 4781 Google Scholar
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Cited By

图 1 理想情况下模式匹配效率随着基频光输入功率的变化

Figure 1. Mode-matching efficiency as a function of the input power.

DownLoad: Full-Size Img PowerPoint

图 2 理想情况下转换效率随着输入功率的变化

Figure 2. Conversion efficiency as a function of input power.

DownLoad: Full-Size Img PowerPoint

图 3 实验装置示意图. OI1—3为光隔离器, EOM为电光调制器, $ \lambda {\text{/2}} $为半波片, PBS1—3为偏振分束器, HR为高反镜, L1—4为模式匹配透镜, LPF1和LPF2为低通滤波器, PID为比例积分微分器, HVA1和HVA2为高压放大器, Mixer1和Mixer2为混频器, DBS1和DBS2为双色分束器, PD1和PD2为光电探测器, SHG1和SHG2为倍频腔, PM1和PM2为功率测量装置

Figure 3. Schematic of experimental setup. OI1–3, optical isolator; EOM, electro-optic modulator; $ \lambda {\text{/2}} $, half-wave-plate; PBS1–3, polarization beam splitter; HR, high-reflection mirror; L1–4, Lens; LPF1 and LPF2, low-pass filters; PID, proportional-integral-differentiator; HVA1 and HVA2, high-voltage amplifiers; Mixer1 and Mixer2, mixer; DBS1 and DBS2, dichroic beam splitters; PD1 and PD2, photodetectors; SHG1 and SHG2, second harmonic generations; PM1 and PM2, power measurements.

DownLoad: Full-Size Img PowerPoint

图 4 转换效率随输入功率变化的理论和实验结果, 其中误差棒为多次测量误差的平均

Figure 4. Theoretical and experimental conversion efficiencies as a function of input power. The error bars take the average of multiple measurements.

DownLoad: Full-Size Img PowerPoint

[1]	Franken P A, Hill A E, Peters C W, Weinreich G 1961 Phys. Rev. Lett. 7 118 Google Scholar
[2]	Chen X Y, Nadiarynkh O, Plotnikov S, Campagnola P J 2012 Nat. Protoc. 7 654 Google Scholar
[3]	Cicchi R, Pavone F S 2017 Methods Mol. Biol. 1627 409 Google Scholar
[4]	Natal R A, Vassallo J, Paiva G R, Pelegati V B, Barbosa G O, Mendonca G R, Bondarik C, Derchain S F, Carvalho H F, Lima C S, Cesar C L, Sarian L O 2018 Tumor Biol. 40 1 Google Scholar
[5]	Gan X T, Zhao C Y, Hu S Q, Wang T, Song Y, Li J, Zhao Q H, Jie W Q, Zhao J L 2018 Light Sci. Appl. 7 17126 Google Scholar
[6]	Zhao K, Zhang Q, Chini M, Wu Y, Wang X W, Chang Z H 2012 Opt. Lett. 37 3891 Google Scholar
[7]	Rong H, Jones R, Liu A, Cohen O, Hak D, Fang A, Paniccia M 2005 Nature 433 725 Google Scholar
[8]	Gao Y S, Fan Y B, Wang Y J, Yang W H, Song Q H, Xiao S M 2018 Nano Lett. 18 8054 Google Scholar
[9]	张岩, 蔚娟, 杨鹏飞, 张俊香 2022 物理学报 71 044203 Google Scholar Zhang Y, Yu J, Yang P F, Zhang J X 2022 Acta Phys. Sin. 71 044203 Google Scholar
[10]	Sun X C, Wang Y J, Tian L, Shi S P, Zheng Y H, Peng K C 2019 Opt. Lett. 44 1789 Google Scholar
[11]	张超, 冯晋霞, 李渊骥, 张宽收 2021 量子光学学报 27 8 Google Scholar Zhang C, Feng J X, Li Y J, Zhang K S 2021 J. Quantum Optics 27 8 Google Scholar
[12]	Sun X C, Wang Y J, Tian L, Zheng Y H, Peng K C 2019 Chin. Opt. Lett. 17 072701 Google Scholar
[13]	马亚云, 冯晋霞, 万振菊, 高英豪, 张宽收 2017 物理学报 66 244205 Google Scholar Ma Y Y, Feng J X, Wan Z J, Gao Y H, Zhang K S 2017 Acta Phys. Sin. 66 244205 Google Scholar
[14]	Ast S, Ast M, Mehmet M, Schnabel R 2016 Opt. Lett. 41 5094 Google Scholar
[15]	万振菊, 冯晋霞, 成健, 张宽收 2018 物理学报 67 024203 Google Scholar Wan Z J, Feng J X, Cheng J, Zhang K S 2018 Acta Phys. Sin. 67 024203 Google Scholar
[16]	Eberle T, Handchen V, Schnabel R 2013 Opt. Express 21 11546 Google Scholar
[17]	常彦红, 刘阿鹏 2019 量子光学学报 25 297 Google Scholar Chang Y H, Liu A P 2019 J. Quantum Optics 25 297 Google Scholar
[18]	Bao X H, Qian Y, Yang J, Zhang H, Chen Z B, Yang T, Pan J W 2008 Phys. Rev. Lett. 101 190501 Google Scholar
[19]	Yang J, Bao X H, Zhang H, Chen S, Peng C Z, Chen Z B, Pan J W 2009 Phys. Rev. A 80 1042321 Google Scholar
[20]	Mabuchi H, Polzik E S, Kimble H J 1994 J. Opt. Soc. Am. B 11 2023 Google Scholar
[21]	Shiv L, Sorensen J L, Polzik E S, Mizell G 1995 Opt. Lett. 20 2270 Google Scholar
[22]	Maslov V A, Mikhailov V A, Shaunin O P, Shcherbakov I A 1997 Quantum Electron. 27 356 Google Scholar
[23]	Hirohashi J, Pasiskevicius V, Wang S, Laurell F 2007 J. Appl. Phys. 101 033105 Google Scholar
[24]	Ghavami Sabouri S, Chaitanya Kumar S, Khorsandi A, Ebrahim-Zadeh M 2014 IEEE J. Sel. Top. Quant. Electron. 20 7500210 Google Scholar
[25]	Yang W H, Wang Y J, Zheng Y H, Lu H D 2015 Opt. Express 23 19624 Google Scholar
[26]	Innocenzi M E, Yura H T, Fincher C L, Fields R A 1990 Appl. Phys. Lett. 56 1831 Google Scholar
[27]	Hansson G, Karlsson H, Wang S H, Laurell F 2000 Appl. Opt. 39 5058 Google Scholar
[28]	Le Targat R, Zondy J J, Lemonde P 2005 Opt. Commun. 247 471 Google Scholar
[29]	Wen X, Han Y S, Bai J D, He J, Wang Y H, Yang B D, Wang J M 2014 Opt. Express 22 32293 Google Scholar
[30]	Wang Q W, Tian L, Yao W X, Wang Y J, Zheng Y H 2019 Opt. Express 27 28534 Google Scholar
[31]	田龙, 王庆伟, 姚文秀, 李庆回, 王雅君, 郑耀辉 2020 物理学报 69 044201 Google Scholar Tian L, Wang Q W, Yao W X, Li Q H, Wang Y J, Zheng Y H 2020 Acta Phys. Sin. 69 044201 Google Scholar
[32]	Meier T, Willke B, Danzmann K 2010 Opt. Lett. 35 3742 Google Scholar
[33]	Li G, Li S K, Wang X C, Zhang P F, Zhang T C 2017 Appl. Opt. 56 55 Google Scholar
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[35]	Ast S, Nia R M, Schönbeck A, Lastzka N, Steinlechner J, Eberle T, Moritz M, Steinlechner S, Schnabel R 2011 Opt. Lett. 36 3467 Google Scholar
[36]	Yao W X, Wang Q W, Tian L, Li R X, Shi S P, Wang J R, Wang Y J, Zheng Y H 2021 Laser Phys. Lett. 18 015001 Google Scholar
[37]	Wang S, Pasiskevicius V, Laurell F 2004 J. Appl. Phys. 96 2023 Google Scholar
[38]	Roth M, Angert N, Tseitlin M, Alexandrovski A 2001 Opt. Mater. 16 131 Google Scholar
[39]	Kozlovsky W J, Nabors C D, Byer R L 1988 IEEE J. Quantum Electron. 24 913 Google Scholar
[40]	Boyd G D, Kleinman D A 1968 J. Appl. Phys. 39 3597 Google Scholar
[41]	Li Z X, Ma W G, Yang W H, Wang Y J, Zheng Y H 2016 Opt. Lett. 41 3331 Google Scholar
[42]	Chen C Y, Shi S P, Zheng Y H 2017 Rev. Sci. Instrum. 88 103101 Google Scholar
[43]	张宏宇, 王锦荣, 李庆回, 吉宇杰, 贺子洋, 杨荣草, 田龙 2019 量子光学学报 25 456 Google Scholar Zhang H Y, Wang J R, Li Q H, Ji Y J, He Z Y, Yang R C, Tian L 2019 J. Quantum Optics 25 456 Google Scholar
[44]	Wu L A, Kimble H J 1985 J. Opt. Soc. Am. B 2 697 Google Scholar
[45]	Sabaeian M, Jalil-Abadi F S, Rezaee M M, Motazedian A 2014 Opt. Express 22 25615 Google Scholar
[46]	Mousavi L, Sabaeian M, Nadgaran H 2013 Opt. Commun. 300 69 Google Scholar
[47]	Rezaee M M, Sabaeian M, Motazedian A, Jalil-Abadi F S, Askari H, Khazrk I 2015 Appl. Opt. 54 4781 Google Scholar
[48]	Sabaeian M, Jalil-Abadi F S, Rezaee M M, Motazedian A, Shahzadeh M 2015 Appl. Opt. 54 869 Google Scholar
[49]	Wang Y J, Li Z X, Zheng Y H, Su J 2017 IEEE J. Quantum Electron. 53 7000307 Google Scholar

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