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. 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
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. 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
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.
中图分类号: (Optical testing techniques)
- 42.87.-d