基于传递函数的超稳激光器光学参考腔热仿真研究  

Thermal Analysis Method for Optical Reference Cavity of Ultra-Stable Laser Based on Transfer Function

作　　者：邓久昌 谢永 孟令强 边伟 印雄飞 贾建军[1,2,3] Deng Jiuchang;Xie Yong;Meng Lingqiang;Bian Wei;Yin Xiongfei;Jia Jianjun(Key Laboratory of Space Active Optical-Electro Technology,Shanghai Institute of Technical Physics,Chinese Academy of Sciences,Shanghai 200083,China;Taiji Laboratory for Gravitational Wave Universe,Key Laboratory of Gravitational Wave Precision Measurement of Zhejiang Province,School of Physics and Photoelectric Engineering,Hangzhou Institute for Advanced Study,University of Chinese Academy of Sciences,Hangzhou 310024,Zhejiang,China;Research Center for Intelligent Sensing Systems,Zhejiang Laboratory,Hangzhou 311121,Zhejiang,China)

机构地区：[1]中国科学院上海技术物理研究所空间主动光电重点实验室,上海200083 [2]国科大杭州高等研究院物理与光电工程学院,浙江省引力波精密测量重点实验室,引力波宇宙太极实验室,浙江杭州310024 [3]之江实验室传感系统研究中心,浙江杭州311121

出　　处：《光学学报》2023年第13期185-191,共7页Acta Optica Sinica

基　　金：国家自然科学基金(12103014);国家重点研发计划(2021YFC2201800)。

摘　　要：当采用Pound-Drever-Hall(PDH)稳频技术将激光频率锁定在Fabry-Pérot(FP)腔时,激光的频率稳定性完全取决于FP腔的腔长稳定性,而外界环境的温度波动是参考腔腔长稳定性的重要影响因素之一。以典型的FP参考腔真空系统为研究对象,着眼于参考腔对外界温度变化的响应情况,通过理论分析推导出FP参考腔温度与外界温度的传递函数关系,并基于参考腔的温度敏感度曲线,给出参考腔温度敏感度的近似计算公式。数值计算结果证明了传递函数关系的正确性,敏感度近似计算公式的结果虽与理论值存在一定误差,但具有形式简单、参数直观、计算方便等特点,对超稳激光系统设计具有重要的指导意义。Objective Ultra-stable laser has excellent characteristics such as extremely low frequency noises and extremely high coherence,and it is widely used in cold atomic light clocks,geodesy,gravitational wave detection,and optical frequency transmission.When the laser frequency is locked on the Fabry-Perot(FP)cavity using Pound-Driver-Hall(PDH)frequency stabilization technology,the frequency stability of the laser depends entirely on the cavity length stability of the cavity.The temperature fluctuation of the FP cavity is one of the main factors that affect the cavity length.How to quickly analyze its temperature characteristics has been the research focus of ultra-stable lasers.The cavity length change of the FP cavity is mainly affected by the temperature fluctuation of the external environment.To suppress this effect,researchers both in China and abroad usually place the cavity in a vacuum chamber with multi-layer thermal shields to obtain a larger thermal time constant and a lower temperature sensitivity.Therefore,to quickly and accurately analyze the influence of the thermal shield parameters in the vacuum chamber on the temperature of the FP cavity,global researchers have carried out corresponding research based on various thermal analysis methods,such as the transfer function method,finite element analysis method,and direct differential method.At present,most of the thermal analysis methods of the FP cavity system only focus on the law of the temperature of the cavity changing with time,and the research results of the temperature sensitivity of the FP cavity required by the actual working conditions cannot meet the urgent needs of the actual working conditions.Therefore,this paper proposes a thermal analysis method of the FP cavity after comprehensively considering heat conduction and radiation and establishes the relationship between temperature sensitivity and corresponding physical parameters of the system,which can guide the design of the FP cavity system in practical engineering.Methods In this paper,a typ

关 键 词：激光光学 FP参考腔 传递函数 热屏蔽层 温度敏感度 

分 类 号：O433[机械工程—光学工程]