优化的振动不敏感球形参考腔
An Improved Vibration-Insensitive Spherical Optical Cavity
DOI: 10.12677/MP.2018.82005, PDF,    科研立项经费支持
作者: 任立庆*, 王兆华, 刘孝丽, 李凡, 邓仲勋, 李小龙, 李增生：榆林学院，能源与工程学院，陕西 榆林；许冠军, 刘 涛*：中国科学院国家授时中心，陕西 西安；中国科学院时间频率基准重点实验室, 陕西 西安
关键词: 参考腔；振动敏感度；光钟；Reference Cavity； Vibration Sensitivity； Optical Clock
摘要: 利用有限元分析方法提出了四点对称支撑的具有较低振动敏感度的球形参考腔模型。有限元分析表明，通过改变参考腔的支撑位置和支撑面积振动敏感度是可调的，而且可以获得振动敏感度的零交叉点。当考虑加工精度和误差时，切割参考腔振动敏感度的零交叉点仍然可得。这种参考腔模型对于实验室环境中腔稳激光的研究具有重要的参考价值。
Abstract: In this study, we present a four-point horizontally supported spherical reference cavity of relatively low vibration sensitivity by using finite element analysis (FEA). We show that the vibration sensitivity is tunable by changing the support positions and contact areas. We also show that a zero crossing of the vibration sensitivity can be achieved for the proposed optical cavity. More important is that the zero crossing is still achievable once the cavity has been machined, taking into account tolerances in manufacturing and errors in the FEA simulations. The proposed cavity can also be designed as a two-dimensional squeezed portable cavity, which might find potential application for a non-laboratory cavity-stabilized laser.
文章引用：任立庆, 许冠军, 王兆华, 刘孝丽, 李凡, 邓仲勋, 李小龙, 李增生, 刘涛. 优化的振动不敏感球形参考腔[J]. 现代物理, 2018, 8(2): 35-41. https://doi.org/10.12677/MP.2018.82005

参考文献

[1] Ludlow, A.D., Boyd, M.M., Ye, J., Peik, E. and Schmid. P.O. (2015) Optical Atomi Clock. Reviews of Modern Physics, 87, 637-701. [Google Scholar] [CrossRef] 
[2] Jiang, Y.Y., Ludlow, A.D., Lemke, N.D., Fox, R.W., Sherman, J.A., Ma, L.-S. and Oates., C.W. (2011) Making Optical Atomic Clocks More Stable with 10−16-Level Laser Stabilization. Nature Photonics, 5, 158-161. [Google Scholar] [CrossRef] 
[3] Ushijima1, I., Takamoto, M., Das, M., Ohkubo, T. and Katori, H. (2016) Fre-quency Ratio of Yb and SrClocks with 5 × 10−17 Uncertainty at 150 Seconds Averaging Time. Nature Photonics, 10, 258-261. [Google Scholar] [CrossRef] 
[4] Abbott, B.P., et al. (2016) Single-Ion Atomic Clock with 3×10−18 Systematic Uncertainty. Physical Review Letters, 116, 1-5.
[5] Renzler, M., Kuhn, M., Mauracher, A., Lindinger, A., Scheier, P. and Ellis, A.M. (2016) Anionic Hydrogen Cluster Ions as a New Form of Condensed Hydrogen. Physical Review Letters, 117, 1-4.
[6] Eisele, C., Nevsky, A.Y. and Schiller, S. (2009) Laboratory Test of the Isotropy of Light Propagation at the 10−17 Level. Physical Review Letters, 103, 1-4.
[7] Hogan, J.M. and Kasevich, M.A. (2016) Atom-Interferometric Gravitational-Wave Detection Using Heterodyne Laser Links. Physical Review A, 94, 1-10.
[8] Acernese, F. (2006) Status of Virgo. Classical and Quantum Gravity, 23, 32-35.
[9] Kessler, T., Hagemann, C., Grebing, C., Legero, T., Sterr, U., Riehle, F., Martin, M.J., Chen, L. and Ye, J. (2012) A Sub-40-mHz-Linewidth Laser Based on a Silicon Single-Crystal Optical Cavity. Nature Photonics, 6, 687-692. [Google Scholar] [CrossRef] 
[10] Notcutt, M., Ma, L.-S., Ye, J. and Hall, J.L. (2005) Simple and Compact 1-Hz Laser System via an Improved Mounting Configuration of a Reference Cavity. Optics Letters, 30, 1815-1817.
[11] Nazarova, T., Riehle, F. and Sterr, U. (2006) Vibration-Insensitive Reference Cavity for an Ultra-Narrow-Linewidth Laser. Applied Physics B, 83, 531-536. [Google Scholar] [CrossRef] 
[12] Chen, L.S., Hall, J.L., Ye, J., Yang, T., Zang, E.J. and Li, T.C. (2006) Vibration-Induced Elastic Deformation of Fabry-Perot Cavities. Physical Review A, 74, 1-13.
[13] Häfner, S., Falke, S., Grebing, C., Vogt, S., Legero, T., Merimaa, Mi., Lisdat, C. and Sterr, U. (2015) 8   ×   10−17 Fractional Laser Frequency Instability with a Long Room-Temperature Cavity. Optics Letters, 40, 2112-2115. [Google Scholar] [CrossRef] 
[14] Millo, J., Magalhães, D.V., Mandache, C., Coq, Y.L., English, E.M.L., Westergaard, P.G., Lodewyck, J., Bize, S., Lemonde, P. and Santarelli, G. (2009) Ultrastable Lasers Based on Vibration Insensitive Cavities. Physical Review A, 79, 1-7.
[15] Leibrandt, D.R., Thorpe, M.J., Notcutt, M., Drullinger, R.E., Rosenband, T. and Bergquist, J.C. (2011) Spherical Reference Cavities for Frequency Stabilization of Lasers in Non-Laboratory Environments. Optics Express, 19, 3471-3482. [Google Scholar] [CrossRef] 
[16] Leibrandt, D.R., Thorpe, M.J., Bergquist, J.C. and Rosenband, T. (2011) Field-Test of a Robust, Portable, Frequency-Stable Laser. Optics Express, 19, 10278-10286. [Google Scholar] [CrossRef] 
[17] Webster, S. and Gill, P. (2011) Force-Insensitive Optical Cavity. Optics Letters, 36, 3572-3574. [Google Scholar] [CrossRef] 
[18] Leibrandt, D.R., Bergquist, J.C. and Rosenband, T. (2013) Cavity-Stabilized Laser with Acceleration Sensitivity below 10−12 g−1. Physical Review A, 87, Article ID: 023829.
[19] Didier, A., Millo, J., Lacroute, C., Ouisse, M., Delporte, J., Giordano, V., Rubiola, E. and Kersale, Y. (2016) Design of an Ultra-Compact Reference ULE Cavity. Journal of Physics: Conference Series, 723, Article ID: 012029.
[20] Ren, L., Zhu, S., Xu, G., Wang, Z., Deng, Z., Wei, Y., Jin, H., Li, Z., Gao, J., Liu, J., Zhang, L., Dong, R., Liu, T., Li, Y. and Zhang, S. (2014) Study of a Spherical Vibration-Insensitive Optical Reference Cavity. Acta Physica Sinica, 63, Article ID: 090601.
[21] Kessler, T., Legero, T. and Sterr, U. (2012) Thermal Noise in Optical Cavities Revisited. Journal of the Optical Society of America B, 29, 178-184. [Google Scholar] [CrossRef]