中国物理B ›› 2016, Vol. 25 ›› Issue (1): 14211-014211.doi: 10.1088/1674-1056/25/1/014211

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇    下一篇

Data point selection for weighted least square fitting of cavity decay time constant

Xing He(何星), Hu Yan(晏虎), Li-Zhi Dong(董理治), Ping Yang(杨平), Bing Xu(许冰)   

  1. 1. Laboratory on Adaptive Optics, Institute of Optics and Electronics, Chinese Academy of Sciences, Chengdu 610209, China;
    2. Key Laboratory on Adaptive Optics, Chinese Academy of Sciences, Chengdu 610209, China;
    3. University of the Chinese Academy of Sciences, Beijing 100039, China
  • 收稿日期:2015-05-05 修回日期:2015-08-17 出版日期:2016-01-05 发布日期:2016-01-05
  • 通讯作者: Bing Xu E-mail:bing_xu_ioe@163.com
  • 基金资助:
    Project supported by the Preeminent Youth Fund of Sichuan Province, China (Grant No. 2012JQ0012), the National Natural Science Foundation of China (Grant Nos. 11173008, 10974202, and 60978049), and the National Key Scientific and Research Equipment Development Project of China (Grant No. ZDYZ2013-2).

Data point selection for weighted least square fitting of cavity decay time constant

Xing He(何星)1,2,3, Hu Yan(晏虎)1,2,3, Li-Zhi Dong(董理治)1,2, Ping Yang(杨平)1,2, Bing Xu(许冰)1,2   

  1. 1. Laboratory on Adaptive Optics, Institute of Optics and Electronics, Chinese Academy of Sciences, Chengdu 610209, China;
    2. Key Laboratory on Adaptive Optics, Chinese Academy of Sciences, Chengdu 610209, China;
    3. University of the Chinese Academy of Sciences, Beijing 100039, China
  • Received:2015-05-05 Revised:2015-08-17 Online:2016-01-05 Published:2016-01-05
  • Contact: Bing Xu E-mail:bing_xu_ioe@163.com
  • Supported by:
    Project supported by the Preeminent Youth Fund of Sichuan Province, China (Grant No. 2012JQ0012), the National Natural Science Foundation of China (Grant Nos. 11173008, 10974202, and 60978049), and the National Key Scientific and Research Equipment Development Project of China (Grant No. ZDYZ2013-2).

摘要: For the accurate extraction of cavity decay time, a selection of data points is supplemented to the weighted least square method. We derive the expected precision, accuracy and computation cost of this improved method, and examine these performances by simulation. By comparing this method with the nonlinear least square fitting (NLSF) method and the linear regression of the sum (LRS) method in derivations and simulations, we find that this method can achieve the same or even better precision, comparable accuracy, and lower computation cost. We test this method by experimental decay signals. The results are in agreement with the ones obtained from the nonlinear least square fitting method.

关键词: cavity ring-down, decay time extraction, weighted least square method, data point selection

Abstract: For the accurate extraction of cavity decay time, a selection of data points is supplemented to the weighted least square method. We derive the expected precision, accuracy and computation cost of this improved method, and examine these performances by simulation. By comparing this method with the nonlinear least square fitting (NLSF) method and the linear regression of the sum (LRS) method in derivations and simulations, we find that this method can achieve the same or even better precision, comparable accuracy, and lower computation cost. We test this method by experimental decay signals. The results are in agreement with the ones obtained from the nonlinear least square fitting method.

Key words: cavity ring-down, decay time extraction, weighted least square method, data point selection

中图分类号:  (Optical testing techniques)

  • 42.87.-d
07.05.Kf (Data analysis: algorithms and implementation; data management) 06.20.Dk (Measurement and error theory)