光学学报, 2019, 39 (5): 0512004, 网络出版: 2019-05-10 复制并引用该论文  本文已被引 2 次  被引通知

图 & 表

图 1. CaF2 WGM谐振腔的结构图以及不同热耗散率时的传输波形图。(a) CaF2 WGM谐振腔的结构示意图; (b) γr=0.15 s-1时的传输波形; (c) 不同γr下的传输波形; (d) 图(c)第一个振荡周期的传输波形放大图

Fig. 1. Structural diagram of CaF2 WGM micro-resonator and transmission waveforms at different heat dissipation rates. (a) Structural diagram of CaF2 WGM micro-resonator; (b) transmission waveform at γr=0.15 s-1; (c) transmission waveforms under different γr; (d) enlarged diagram of transmission waveform within first oscillation period in (c)

下载图片 查看原文

图 2. 等效的微谐振腔光热振荡反馈回路

Fig. 2. Equivalent feedback loop of thermo-optic oscillation in micro-resonator

下载图片 查看原文

图 3. 不同的热耗散率下振荡周期随周期序列号的变化

Fig. 3. Oscillation period versus cycle index under different heat dissipation rates

下载图片 查看原文

图 4. 基于BP神经网络的传感数据测量模型

Fig. 4. Measurement model of sensing data based on BP neural network

下载图片 查看原文

图 5. 不同参数对BP-ANN测量结果的影响。(a) 隐含层结点数; (b) 训练目标误差; (c) 学习率; (d) 固定测试数据时的训练数据组数

Fig. 5. Influence of each parameter on BP-ANN measurement results. (a) Number of neurons in hidden layer; (b) training goal error; (c) learning rate; (d) number of training datasets when detected datasets are fixed

下载图片 查看原文

图 6. BP-ANN测量结果与实际热耗散率的对比。(a) A组; (b) 图(a)中虚线区域的放大图; (c) B组; (d) 图(c)中虚线区域的放大图

Fig. 6. Comparison between measurement results by BP-ANN and actual heat dissipation rate. (a) Group A; (b) enlarged diagram of dotted area in (a); (c) group B; (d) enlarged diagram of dotted area in (c)

下载图片 查看原文

表 1CaF2微谐振腔参数

Table1. Parameters for CaF2 micro-cavity

Parameter Value Intrinsic Q of resonator (Q0) 7×108 Coupling Q(Qc) 8×108 Resonator diameter (d) /(10-3 m) 9 Kerr coefficient (nkerr) /(m2·W-1) 3.2×10-20 Mode cross area (A) /m2 2×10-9 Mode volume (Vm1) /m3 6.3×10-11 Resonator volume (Vm2) /m3 7.85×10-8 Thermo-optic coefficient (nt1) /K-1 -1.14×10-5 Thermal expansion coefficient (nt2) /K-1 1.87×10-5 Heat dissipation rate from optical mode to rest of resonator (γm) /s-1 2750 Absorption rate of optical mode (γabs) /(K·J-1) 3250×10-4 Speed of light (c) /(m·s-1) 299792458 Frequency of light (fr) /Hz 2.819×1014 Refractive index (n1) 1.43 Cavity resonant frequency without nonlinear effects (f0) /Hz 2.819×1014

查看原文

表 2BP-ANN参数

Table2. Parameters of BP-ANN

Parameter Value Number of neurons in input layer 18 Number of neurons in hidden layer 15 Number of neurons in output layer 1 Learning rate 4×10-3 Training goal 1×10-9

查看原文

表 3两组测试数据集

Table3. Two groups of test datasets

Group index Original value of heat dissipation rate /s-1 A [0.0649∶0.0010∶0.1639] B [0.0648∶0.0040∶0.1638]

查看原文

郭栋, 邹长铃, 任宏亮, 卢瑾, 覃亚丽, 郭淑琴, 胡卫生. CaF₂光学微谐振腔中基于光热振荡的热耗散率测量[J]. 光学学报, 2019, 39(5): 0512004. Dong Guo, Changling Zou, Hongliang Ren, Jin Lu, Yali Qin, Shuqin Guo, Weisheng Hu. Measurement of Heat Dissipation Rate Based on Optic-Thermo Oscillations in CaF₂ Optical Micro-Cavity[J]. Acta Optica Sinica, 2019, 39(5): 0512004.