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《Opto-Electronic Engineering》 2017-07
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Optical microcavity transmission spectrum fitting algorithm based on the implicit function model

Xiaoting Wang;Ruiqiang Chen;Shundi Hu;Peng Zhao;Luhong Wen;Xiang Wu;The Research Institute of Advanced Technologies, Ningbo University;Center Key Lab for Micro and Nanophotonic Structures(Ministry of Education), Department of Optical Science and Engineering, Fudan University;  
The optical microcavity has high Q factors and high sensitivity, and has a good application prospect in high-precision biosensing. In order to deal with the problem that the Lorentz fitting algorithm cannot fit the asymmetric waveform and the splitting mode waveform of the optical microcavity, the implicit function model algorithm is proposed. Firstly, according to the method, the template waveform was established and operated by panning and zooming.Then the parameter values were optimized by the Levenberg-Marquardt(LM) algorithm. Finally, data fitting of symmetrical waveform, asymmetric waveform and splitting mode waveform could be achieved. Through constructing the data acquisition system of optical microcavity, the Gauss, the Lorentz and the implicit function model algorithm were used to fit the experimental data of different refractive index of solutions. The results show that MSE of the implicit function model algorithm is one order of magnitude lower than other two algorithms, and has a coefficient of determination(R~2) of 0.99. The resonant frequency error of implicit function model algorithm is the smallest,the resonant frequency of implicit function model algorithm is the largest, and the sensitivity of implicit function modelalgorithm is the highest. Therefore, the fitting effect of the implicit function model algorithm is better and it can efficiently improve the sensitivity of the optical microcavity.
【Key Words】: optical microcavity implicit function model LM algorithm data fitting transmission spectrum
【Fund】: 宁波大学人才工程项目(ZX2015000803);宁波大学科研基金项目(XYL15023);; 王宽诚幸福基金;; 浙江省自然科学基金(Q16A020002)资助项目
【CateGory Index】: TP212
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