光子学报, 2015, 44 (8): 0814001, 网络出版: 2015-09-08  

谐振腔对光波的动态响应

Dynamic Response of the Optical Resonant Cavity to Light-wave
作者单位
1 中国科学院西安光学精密机械研究所,瞬态光学与光子技术国家重点实验室, 西安 710119
2 中国科学院大学, 北京 100039
摘要
本文将谐振腔视作线性时不变系统,借鉴线性系统信号处理的方法,考察了谐振腔对光波的动态响应,得到相应的数学解析描述,该方法可以适用于任意形式的注入光波.从这个角度分析,传统的脉冲腔衰荡光谱技术实际上是考察谐振腔的冲激响应,而连续腔衰荡则是考察谐振腔的阶跃响应.此外,针对注入光波长缓慢变化的特殊情况,考察了谐振腔对频率线性啁啾光波的响应,并获得了解析形式的数学描述.在此情况下,谐振腔输出的光功率信号的频谱包含了腔内光谱的信息,利用本文的数学描述,可以很容易地从信号频谱反推出待测光谱.据此,提出了一种谐振腔增强光谱测量的新方法,称为频域腔衰荡光谱.本文的研究成果可以应用于各种类型的谐振腔增强光谱,也可以应用于基于谐振腔的各类光学技术,比如P-D-H激光稳频技术.
Abstract
The dynamic response of optical resonant cavity has been theoretically studied,by taking resonant cavity as a linear and time invariant system and through the approach of Signal Processing.The mathematical description obtained could fit any form of light waves.From the perspective of Signal Processing,the traditional pulse and continues wave cavity ring-down spectroscopy could be considered as observation of impulse response and step response respectively.Furthermore,the cavity response to the light-wave linearly frequency chirped has been studied,in the condition of slow chirp.The Fourier analysis of light power passed through cavity has been made and an analytic description has been given,which reveals the fact that the signal spectrum of light power is related to the absorption spectrum of material inside cavity.Based on this theoretic analysis,a new approach of cavity enhanced absorption spectroscopy has been put forward,called Frequency Domain Cavity Ring-Down Spectroscopy.The result would facilitates the research of cavity enhanced spectroscopy techniques,as well others using resonant cavity,such as P-D-H laser frequency stabilization.

冯丽丽, 阮驰, 王允韬. 谐振腔对光波的动态响应[J]. 光子学报, 2015, 44(8): 0814001. FENG Li-li, RUAN Chi, WANG Yun-tao. Dynamic Response of the Optical Resonant Cavity to Light-wave[J]. ACTA PHOTONICA SINICA, 2015, 44(8): 0814001.

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