[1] BOGAERTS W, DE HEYN P, VAN VAERENBERGH T et al. Silicon microring resonators[J]. Laser & Photonics Reviews, 6, 47-73(2012).

[2] XIE J Y, SU G SH, LI M Y. Temperature sensor cascading reflective Fabry-Perot cavity with microring resonator[J]. Acta Optica Sinica, 42, 2328002(2022).

[3] LIU CH J, WANG J W, WU X S. Sensing characteristics of grating-assisted slot microring resonator[J]. Acta Optica Sinica, 42, 1613001(2022).

[4] ZHUANG SH Q, FENG J J, LIU H P et al. Optical multistability in a cross-coupled double-ring resonator system[J]. Optics Communications, 507, 127637(2022).

[5] WU R, ZHANG H CH. The influence of the number of coupling regions on the output of the ding-shaped microring resonator[J]. Chinese Optics, 16, 1493-1500(2023).

[6] ZHAO R Y, CUI J G, YU Y X. Design and packaging of optical fiber resonators for evanescent wave sensing[J]. Transducer and Microsystem Technologies, 41, 21-24(2022).

[7] YAN CH Y, GAO SH H, SONG D Y. Characteristic analysis of single and double Micro ring resonant cavity used in Mach-Zehnder interferometer filter[J]. Acta Photonica Sinica, 44, 0713003(2015).

[8] [8] ZHU Q M. Research on resonant silicon photonic switch filter based on wavelength locking[D]. Shanghai: Shanghai Jiao Tong University, 2020. (in Chinese).

[9] XIAO Z H, LI M Y, SU G SH. Multi-channel optical switching based on scanning mirror instrumentation[J]. Chinese Optics, 16, 136-143(2023).

[10] DE VOS K, BARTOLOZZI I, SCHACHT E et al. Silicon-on-Insulator microring resonator for sensitive and label-free biosensing[J]. Optics Express, 15, 7610-7615(2007).

[11] LIU W L, LI M, GUZZON R S et al. An integrated parity-time symmetric wavelength-tunable single-mode microring laser[J]. Nature Communications, 8, 15389(2017).

[12] [12] SHI B Y. Research on Micring resonats f Label Free optical biosensing[D]. Beijing: Minzu University of China, 2023. (in Chinese)

[13] AMBIKA S, VANJERKHEDE K. Modeling and analysis of photonic sensor based on ring resonator for glucose detection[J]. Journal of Optics, 52, 1837-1844(2023).

[14] [14] HAN Y. Acoustic sensing acteristics research based on the groove structure of optical waveguide resonat[D]. Taiyuan: Nth University of China, 2023. (in Chinese).

[15] PAN J SH, LI Q, FENG Y M et al. Parallel interrogation of the chalcogenide-based micro-ring sensor array for photoacoustic tomography[J]. Nature Communications, 14, 3250(2023).

[16] ZHU M, ZHANG W D, CUI J G. Design and research of silicon-based resonator for sound pressure sensing[J]. Instrument Technique and Sensor, 1-6(2023).

[17] CHEN Y Q, YU F, YANG CH et al. Label-free biosensing using cascaded double-microring resonators integrated with microfluidic channels[J]. Optics Communications, 344, 129-133(2015).

[18] CARDENOSA-RUBIO M C, ROBISON H M, BAILEY R C. Recent advances in environmental and clinical analysis using microring resonator–based sensors[J]. Current Opinion in Environmental Science & Health, 10, 38-46(2019).

[19] PIRZADA M, ALTINTAS Z. Recent progress in optical sensors for biomedical diagnostics[J]. Micromachines, 11, 356(2020).

[20] JIN L, LI M Y, HE J J. Optical waveguide double-ring sensor using intensity interrogation with a low-cost broadband source[J]. Optics Letters, 36, 1128-1130(2011).

[21] JIN L, LI M Y, HE J J. Analysis of wavelength and intensity interrogation methods in cascaded double-ring sensors[J]. Journal of Lightwave Technology, 30, 1994-2002(2012).

[22] CLAES T, BOGAERTS W, BIENSTMAN P. Experimental characterization of a silicon photonic biosensor consisting of two cascaded ring resonators based on the Vernier-effect and introduction of a curve fitting method for an improved detection limit[J]. Optics Express, 18, 22747-22761(2010).

[23] SU CH, ZHU H H, CAO Z W. Fitting methods of transmission spectrum envelope in cascaded double-ring resonator sensors[J]. Acta Photonica Sinica, 47, 1023002(2018).

[24] POON J K S, SCHEUER J, MOOKHERJEA S et al. Matrix analysis of microring coupled-resonator optical waveguides[J]. Optics Express, 12, 90-103(2004).

[25] [25] LIU Y. Biosens based on SOI micring resonats[D]. Hangzhou: Zhejiang University, 2017. (in Chinese).

[26] ZHAO Q H, WANG Y H, GAO X Y. Filtering evaluation method of phase images based on smooth spline fitting[J]. Acta Optica Sinica, 38, 0815020(2018).

[27] YAO Z K, CAI Y Y, LI SH W. Baseline correction for Raman spectroscopy using cubic spline smoothing combined with discrete state transformation algorithm[J]. Chinese Journal of Lasers, 49, 1811001(2022).

[28] [28] LI L. Advances on smoothing spline model based on Bayesian framewk[D]. Shanghai: East China Nmal University, 2023. (in Chinese).

[29] GAO N, YU Y B, DU ZH H. Research on harmonic detection pressure inversion based on Gauss/Lorentz line fitting ratio[J]. Infrared and Laser Engineering, 52, 20230428(2023).

[30] ZHANG J Y, CHEN B B, YANG Y X. Positioning algorithm for laser spot center based on BP neural network and genetic algorithm[J]. Chinese Optics, 16, 407-414(2023).

[31] TAN SH B. Flexible expansion of beta model and Lorentz curve fitting optimization[J]. Mathematics in Practice and Theory, 53, 154-168(2023).

[32] ZHANG K, MENG CH Q, WANG W J. Gaussian kernel approximation model selection algorithm based on random fourier feature space[J]. Journal of Data Acquisition and Processing, 38, 616-628(2023).

[33] QU W X, LIU H, QIN CH. Antenna tracking accuracy evaluation method based on MATLAB Fourier curve fitting[J]. Electronic Measurement Technology, 43, 91-95(2020).