空心微瓶谐振腔的曲率模型及其传输特性研究

提出了有关空心微瓶谐振腔的曲率变化模型并且研究了曲率对其传输特性的影响。仿真分析了微瓶谐振腔内回音壁模式的分布情况，随着曲率的增加，微瓶谐振腔对回音壁模式的束缚能力越强，使得内部光场能量也相应增加。通过控制熔接机的放电次数制得不同曲率的空心微瓶谐振腔，并且根据理想气体状态方程，推导了制备工艺中曲率模型，研究了空心微瓶谐振腔的曲率随放电次数的变化趋势。实验结果表明，曲率越大的空心微瓶谐振腔品质因子越高，可达到7.26×105，该结论在提升谐振腔的品质因子方面具有重要价值。

Research on curvature model and transmission characteristics of hollow micro-bottle resonator

The curvature change model of the hollowed micro-bottle resonator was proposed and the influence of curvature on its transmission characteristics was studied. Firstly, the distribution of the whispering-gallery mode in the micro-bottle resonator was analyzed by the simulation. The restriction to the whispering-gallery mode by the micro-bottle resonator became stronger with the increase of curvature, which resulted in the higher energy of the internal light field. Then, the hollowed micro-bottle resonators with different curvature were fabricated by controlling the discharge times of the fusing splicer. And according to the equation of ideal gas state, the curvature model in the fabrication process was derived and the variation trend of the curvature for hollowed micro-bottle resonator with the discharge times was studied. The experimental results show that the quality factor can be enhanced with the increase of curvature, which can reach to 7.26×105. This conclusion has important value in improving the quality factor of the resonator.