模式能量梯度上升的光束入腔指向方法

邢成文; 徐天尧; 马超群; 栾苏琪; 李跃; 孟范超; 孟令强; 吕刚; 印雄飞; 贾建军

doi:10.37188/CO.2025-0053

模式能量梯度上升的光束入腔指向方法

doi: 10.37188/CO.2025-0053

cstr: 32171.14.CO.2025-0053

邢成文^{1, 3,},
徐天尧¹,
马超群¹,
栾苏琪¹,
李跃¹,
孟范超^{1, 2},
孟令强¹,
吕刚²,
印雄飞^1, ,,
贾建军^{1, 2, 4, ,}

1.
国科大杭州高等研究院物理与光电工程学院, 浙江杭州, 310024
2.
中国科学院上海技术物理研究所空间主动光电技术重点实验室, 上海 200083
3.
中国科学院上海光学精密机械研究所, 上海 201800
4.
中国科学院大学, 北京 100049

基金项目: 国家重点研发计划（No. 2024YFC2206900，No. 2021YFC2201804）

详细信息

作者简介:
邢成文（1996—），男，安徽阜阳人，博士研究生，主要研究领域为光电技术。E-mail：xingchengwen21@mails.ucas.ac.cn

贾建军（1972—），男，山西永济人，教授，主要研究领域为空间光电技术。E-mail：jjjun10@mail.sitp.ac.cn

中图分类号: O43
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- 文章访问数: 7
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- 被引次数: 0
出版历程
- 网络出版日期: 2025-04-29

Cavity alignment method based on gradient ascent

XING Cheng-wen^{1, 3
,},
XU Tian-yao¹,
MA Chao-qun¹,
LUAN Su-qi¹,
LI Yue¹,
MENG Fan-chao^{1, 2},
MENG Ling-qiang¹,
LV Gang²,
YIN Xiong-fei^{1
, ,},
JIA Jian-jun^{1, 2, 4
, ,}

1.
School of Physics and Optoelectrical Engineering, Hangzhou Institute for Advanced Study, University of Chinese Academy of Sciences, Hangzhou 310024, Zhejiang, China
2.
Key Laboratory of Space Active Opto-Electronics Technology, Shanghai Institute of Technical Physics, Chinese Academy of Sciences, Shanghai 200083, China
3.
Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800, China
4.
University of Chinese Academy of Sciences, Beijing 100049, China

Funds: Supported by National Key R & D Program of China (No. 2024YFC2206900, No. 2021YFC2201804)

More Information

Corresponding author: yinxiongfei@ucas.ac.cn; jjjun10@mail.sitp.ac.cn

摘要

摘要:
为了解决光束与法布里珀罗腔的入腔失调问题，本文基于谐振模式能量梯度上升自适应调整双反射镜步进，实现所需谐振模式的入腔光束指向。首先，利用双反射镜步进与入腔光束失调的关系，提出分离式入腔光束平移与角度调整方法。其次，利用EfficientNET神经网络对谐振模式图片进行分类，实现不同激光模式的图像识别。最后，利用腔后模式能量梯度调整双反射镜步进，低成本、高效率实现目标谐振模式的入腔耦合。本文的入腔光束指向调整方法为超稳激光器以及引力波探测中法布里珀罗腔的入腔耦合提供了新思路。
- 入腔耦合 /
- 光束指向控制 /
- 法布里珀罗腔 /
- 双快速反射镜 /
- 梯度上升
Abstract:
Addressing the issue of beam alignment with Fabry-Pérot cavities, this paper employs an adaptive step adjustment method of dual mirrors based on the gradient ascent of resonant mode energy, achieving mode coupling of the cavity and incident beam. By cavity mode image recognition and incident beam pointing adjustment, fundamental and higher-order modes can be excited. By utilizing the relationship between the angles of the dual mirrors and the beam pointing, it enables separate adjustment of the incident position and angle of the beam entering the cavity. Classification of different mode images using the EfficientNet neural network facilitates the recognition of fundamental and higher-order modes. Based on the energy gradient of the cavity mode, this approach adaptively adjusts the step values of the dual mirrors, enabling low-cost and efficient coupling of both fundamental and higher-order modes into the cavity. The beam pointing adjustment method proposed will offer a novel option for coupling lasers with Fabry-Pérot cavities.
- cavity coupling /
- beam pointing /
- Fabry-Pérot cavities /
- dual steering mirrors /
- gradient ascent

HTML全文

图 1 光束入腔失调引起的模式能量分布

Figure 1. Modes energy distribution by beam misalignment

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图 2 不同阶模式的对数能量与失调量的关系

Figure 2. Relationship between logarithmic energy of optical modes and misalignment

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图 3 梯度上升法求解第n阶模式能量的极值点

Figure 3. Finding the maximum of n-th order mode energy utilizing gradient ascent

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图 4 双反射镜系统角度组合方案 (a)平移; (b)旋转

Figure 4. Angle combination strategies for dual-mirror systems (a) lateral offset; (b) tilt

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图 5 谐振模式数据集采集装置

Figure 5. Experimental set-up for resonant mode picture collecting

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图 6 谐振模式数据集示例

Figure 6. Examples of the laser mode dataset

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图 7 利用EfficientNet在数据集上训练的准确度和损失曲线

Figure 7. Accuracy and loss curves for mode picture recognition using EfficientNet

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图 8 利用EfficientNet在测试集上模式图片识别的混淆矩阵

Figure 8. Confusion matrix of the mode picture recognition on the test dataset by EfficientNet

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图 9 不同模式的强度图(a) HG00模式；(b) HG01模式；(c) HG02模式；(d) LG01模式

Figure 9. Angle combination strategies for dual-mirror systems (a) HG00; (b) HG01; (c) HG02; (d) LG01

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图 10 实验装置框图

Figure 10. Block diagram of the experimental set-up

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图 11 实验装置图

Figure 11. Experimental set-up

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图 12 基模强度对数值与调整角度的关系

Figure 12. Relationship between the tilt angles and logarithmic intensity of the fundamental mode

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图 13 基于梯度上升的入腔调整结果

Figure 13. Cavity recoupling based on mode energy gradient ascent

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图 14 锁定激光到不同模式上

Figure 14. Laser frequency locking on different optical mode

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