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光学微腔品质因子高、灵敏度高,在精密生物传感方面有广阔的应用前景。针对洛伦兹拟合算法不能很好地拟合光学微腔输出端非对称波形和劈裂模式波形的问题,提出了隐函数模型算法。该算法首先建立模板波形,然后经平移、放缩理论实现模板波形操作,利用Levenberg-Marquardt(LM)算法优化参数值,能够实现对称波形、非对称波形和劈裂模式波形数据拟合。通过搭建光学微腔数据采集系统,采用高斯、洛伦兹和隐函数模型算法对不同折射率溶液的实验数据进行拟合。结果表明:隐函数模型算法比前两种算法的MSE低1个数量级,且拟合优度(R~2)达到了0.99,拟合效果较好;隐函数模型算法谐振频率误差最小,谐振频率偏移量最大,对应的灵敏度最高,有利于提高光学微腔灵敏度。
Optical microcavity high quality factor, high sensitivity, in the precision biosensing has broad application prospects. Aiming at the problem that Lorentz’s fitting algorithm can not well fit the asymmetrical waveform and the splitting mode waveform at the output of optical microcavity, an implicit function model algorithm is proposed. Firstly, the template waveform is established, and then the template waveform operation is realized by translation and scaling theory. The Levenberg-Marquardt (LM) algorithm is used to optimize the parameter values to achieve the symmetrical waveform, asymmetric waveform and splitting mode waveform data fitting. By building optical microcavity data acquisition system, Gaussian, Lorentz and implicit function model algorithms were used to fit experimental data of different refractive index solutions. The results show that the implicit function model algorithm is 1 order of magnitude lower than the MSE of the former two algorithms, and the goodness of fit (R ~ 2) reaches 0.99, and the fitting effect is better. The implicit function model algorithm has the lowest resonance frequency error and the resonance frequency The largest offset, corresponding to the highest sensitivity, is conducive to improving the sensitivity of optical microcavities.