Study of conditions for occurrence of Fano resonance in combined fiber quasi-periodic structures

Agliullin T.A., Sakhabutdinov, A.Z., Kuznetsov A.A., Valeev B.I.

For Russian citation (Opticheskii Zhurnal):

Аглиуллин Т.А., Сахабутдинов А.Ж., Кузнецов А.А., Валеев Б.И. Исследование условий возникновения резонанса Фано в комбинированных волоконных квазипериодических структурах // Оптический журнал. 2025. Т. 92. № 5. С. 26–37. http://doi.org/10.17586/1023-5086-2025-92-05-26-37

Agliullin T.A., Sakhabutdinov A.Zh., Kuznetsov A.A., Valeev B.I. Study of conditions for occurrence of Fano resonance in combined fiber quasi-periodic structures [in Russian] //Opticheskii Zhurnal. 2025. V. 92. № 5. P. 26–37. http://doi.org/10.17586/1023-5086-2025-92-05-26-37

For citation (Journal of Optical Technology):

Abstract:

Subject of study. Combined interferometric quasiperiodic structures including a fiber Bragg grating and a Fabry–Perot interferometer. Aim of study. Finding patterns of occurrence of asymmetric Fano resonance in combined interferometric fiber structures. Method. Mathematical modeling of quasiperiodic fiber-optic structures based on the model of passage of plane electromagnetic waves through media consisting of homogeneous layers, within each of which the permittivity and magnetic permeability are considered constant. Main results. The conditions for occurrence of asymmetric Fano resonance in combined interferometric fiber structures are investigated. The manifestation of Fano resonance in these structures is facilitated by a decrease in the ratio of the maximum reflection coefficients of the fiber Bragg grating and the Fabry–Perot interferometer (usually less than 12 dB). With excessive reduction of the length and/or induced refractive index of the Bragg grating, the Fano resonance is weakened due to the insufficient contribution of the grating to its formation. Practical significance. The results of the study will form the basis for the creation of such combined interferometric fiber structures with specified properties of their spectral response, suitable for use as sensitive elements of various physical fields, and open up ways to improve the metrological characteristics of systems based on them due to the use of narrow-band components in the spectral response.

Keywords:

combined fiber-optic quasi-periodic structures, fiber Bragg grating, Fabry–Perot interferometer

Acknowledgements:

the study was supported by a grant from the Russian Science Foundation № 23-79-10059

OCIS codes: 060.2370, 050.2770, 050.2230

References:

1. Campanella C.E., Cuccovillo A., Campanella C., et al. Fibre Bragg grating based strain sensors: Review of technology and applications // Sensors. 2018. V. 18. № 9. P. 3115. https://doi.org/10.3390/s18093115
2. Zhu C., Zheng H., Ma L., et al. Advances in fiber-optic extrinsic Fabry–Perot interferometric physical and mechanical sensors: A review // IEEE Sensors J. 2023. V. 23. № 7. P. 6406–6426. https://doi.org/10.1109/JSEN.2023.3244820
3. Choi H.Y., Kim M.J., Lee B.H. All-fiber Mach–Zehnder type interferometers formed in photonic crystal fiber // Opt. Exp. 2007. V. 15. № 9. P. 5711–5720. https://doi.org/10.1364/OE.15.005711
4. Zhao N., Wang Z., Zhang Z., et al. Simultaneous measurement of temperature and refractive index using michelson interferometer based on waist-enlarged fiber bitaper // Micromachines. 2022. V. 13. № 5. P. 658. https://doi.org/10.3390/mi13050658
5. Moon D.S., Kim B.H., Lin A., et al. The temperature sensitivity of Sagnac loop interferometer based on polarization maintaining side-hole fiber // Opt. Exp. 2007. V. 15. № 13. P. 7962–7967. https://doi.org/10.1364/OE.15.007962
6. Bremer K., Lewis E., Leen G., et al. Feedback stabilized interrogation technique for EFPI/FBG hybrid fiber-optic pressure and temperature sensors // IEEE Sensors J. 2012. V. 12. № 1. P. 133–138. https://doi.org/10.1109/JSEN.2011.2140104
7. Ying-Gang L., Xin L., Ting Z., et al. Integrated FPIFBG composite all-fiber sensor for simultaneous measurement of liquid refractive index and temperature // Opt. and Lasers in Eng. 2018. V. 111. P. 167–171. https://doi.org/10.1016/j.optlaseng.2018.08.007
8. Friedemann M., Voigt S., Mehner J. Pressure sensor catheter based on fiber tip Fabry–Pérot-interferometer and fiber Bragg grating for temperature compensation: Fiber-optic hybrid sensor catheter for invasive pressure measuring // Current Directions in Biomedical Eng. 2022. V. 8. № 2. P. 404–407. https://doi.org/10.1515/cdbme-2022-1103
9. Tosi D., Macchi E.G., Braschi G., et al. Fiber-optic combined FPI/FBG sensors for monitoring of radiofrequency thermal ablation of liver tumors: Ex vivo experiments // Appl. Opt. 2014. V. 53. P. 2136–2144. https://doi.org/10.1364/AO.53.002136
10. Yang D., Liu Y., Wang Y., et al. Integrated optic-fiber sensor based on enclosed EFPI and structural phaseshift for discriminating measurement of temperature, pressure and RI // Optics & Laser Technol. 2020. V. 126. P. 106112. https://doi.org/10.1016/j.optlastec.2020.106112
11. Sakhabutdinov A.Zh., Agliullin T.A., Hussein S.M.R.H., et al. Fano-type resonance structures based on combination of fiber Bragg grating with Fabry–Perot interferometer // Karbala Inter. J. of Modern Science. 2023. V. 9. № 1. P. 27–33. https://doi.org/10.33640/2405-609X.3279