Abstract
Bragg wavelength is sensitive to both temperature and strain changes. Therefore, in sensors that are designed using a fiber Bragg grating (FBG), it is not possible to discriminate the cross-sensitivity of temperature and strain. The design of tilted fiber Bragg gratings (TFBG), which is a family of short-period gratings, has been one of the solutions to this problem. The core mode resonance (LP01) and cladding resonances (LPmn) appear simultaneously in the transmission spectrum. It is possible to perform the simultaneous, independent measurement of temperature and strain using only a TFBG. In this study, the design of a TFBG sensor with a tilt angle of 5° were performed by using the Optigrating 4.2.2 software in order to measure the temperature and strain simultaneously. While the varying temperature was applied to the TFBG in the first stage, the varying strain was applied to it in the second stage, and simultaneously varying temperature and strain were applied to it in the third stage, and linear shifts occurring in wavelengths were calculated using Optigrating. In the design stage of the temperature sensor, research was conducted with different thermal expansion and thermo-optic coefficients, the amounts of shifts caused by these coefficients in the wavelength were examined. It was observed that the change in the wavelength caused by the simultaneous application of temperature and strain was equal to the total change in wavelength that occurred in the non-simultaneous application of temperature and strain.
Similar content being viewed by others
Abbreviations
- Ʌ:
-
Grating period
- Λg :
-
Grating period of TFBG
- λcore, λghost, \({\uplambda}_{\mathrm{clad}}^{\mathrm{i}}\) :
-
Wavelength of the core, ghost and ith cladding mode
- neff, core, \({\mathrm{n}}_{\mathrm{eff},\mathrm{clad}}^{\mathrm{i}}\) :
-
Effective refractive index of the core mode and ith cladding mode of fiber
- αcore, αclad :
-
Thermal expansion coefficient of core and cladding
- ξcore, ξclad :
-
Thermo-optic coefficient of core and ghost cladding
- Δλcore, \(\Delta {\uplambda}_{\mathrm{clad}}^{\mathrm{i}}\) :
-
Amount of shift in the wavelength of the core mode and ith cladding mode
- ΔΤ :
-
Applied temperature change
- Δε :
-
Applied strain change
- pe :
-
Photoelastic coefficient of the fiber
- p11, p12 :
-
Pockel’s coefficient of the stress-optical tensor
- ν:
-
Poisson’s ratio
- pcore, \({\mathrm{p}}_{\mathrm{clad}}^{\mathrm{i}}\) :
-
Strain-optic coefficients of the core mode and ith cladding mode
- αcore, αclad :
-
Radius of core and cladding
- ncore, nclad :
-
Refractive index of core and cladding
- Ɩ:
-
Length of TFBG
- Δn :
-
Modulation index
- |λcore − λghost|:
-
Distance between the core and ghost modes
References
Burunkaya, M., Yucel, M.: Measurement and control of an incubator temperature by using conventional methods and fiber Bragg grating (FBG) based temperature sensors. J. Med. Syst. 44(10), 178 (2020)
Campanella, C.E., Cuccovillo, A., Yurt, A., Passaro, V.: Fibre Bragg grating based strain sensors: review of technology and applications. Sensors. 18(9), 3115 (2018)
Chehura, E., James, S.W., Tatam, R.P.: Simultaneous, independent measurement of temperature and strain using a tilted fibre Bragg grating. In: Proceedings of SPIE 6619, Third European Workshop on Optical Fibre Sensors, Napoli, Italy, pp. 66190I-1–66190I-4 (2007)
Chen, C., Shevchenko, Y.Y., Albert, J.: Novel sensing mechanisms using tilted fiber Bragg gratings. In: Bock, W.J., Gannot, I., Tanev, S. (eds.) Optical Waveguide Sensing and Imaging NATO Science for Peace and Security Series, pp. 25–49. Springer, Dordrecht (2008)
Cheng, D., Yan, F., Feng, T., Bai, Z., Zhang, L., Wang, W., Liu, S., Zhou, H., Hou, Y.: Single weakly tilted FBG in 2-μm band capable of measuring temperature, axial strain, and surrounding refractive index. Opt. Eng. 57(9), 096107 (2018)
Elgaud, M.M., Zan, M.S.D., Abushagur, A.A.G., Bakar, A.A.A.: Analysis of independent strain-temperature fiber Bragg grating sensing technique using OptiSystem and OptiGrating. In: 2016 IEEE 6th International Conference on Photonics (ICP), Kuching, Malaysia, pp. 1–3 (2016)
Frazao, O., Santos, J.L.: Simultaneous measurement of strain and temperature using a Bragg grating structure written in germanosilicate fibres. J. Opt. A Pure Appl. Opt. 6(6), 553–556 (2004)
Gao, Y., Liu, C., Mu, H.: Effects of temperature changes on the transmission spectra of tilted fiber Bragg grating. Adv. Mater. Res. 926–930, 462–465 (2014)
Guo, T., Ivanov, A., Chen, C., Albert, J.: Temperature-independent tilted fiber grating vibration sensor based on cladding-core recoupling. Opt Lett. 33(9), 1004–1007 (2008)
Kipriksiz, S., Yucel, M.: Design and implementation of temperature sensor using non-uniform fiber Bragg grating. J. Polytech. (2021). https://doi.org/10.2339/politeknik.727105
Kumar, R., Sharma, A.: A new method to analyze fiber Bragg gratings. Opt. Fiber Technol. 53, 102017 (2019)
Lee, K.S., Erdogan, T.: Fiber mode coupling in transmissive and reflective tilted fiber gratings. Appl. Opt. 39(9), 1394–1404 (2000)
Miao, Y., Liu, B., Zhao, Q.: Simultaneous measurement of strain and temperature using single tilted fibre Bragg grating. Electron. Lett. 44(21), 1242–1243 (2008)
Nandi, S., Indumathi, T.S., Priya, R.V., Kori, A.: Analysis of fiber Bragg grating spectral characteristics using couple mode theory for sensor applications. In: Proceedings of the 13th International Conference on Innovative Mobile and Internet Services in Ubiquitous Computing (IMIS-2019), Sydney, NSW, Australia, pp. 868–879 (2019)
Sengupta, D.: Fiber Bragg grating sensors and interrogation systems. In: Rajan, G. (ed.) Optical Fiber Sensors, Advanced Techniques and Applications, pp. 207–256. CRC Press, Boca Raton (2015)
Sun, X., Zeng, L., Du, H., Dong, X., Chang, Z., Hu, Y., Duan, J.: Phase-shifted gratings fabricated with femtosecond laser by overlapped two types of fiber Bragg gratings. Opt. Laser Technol. 124, 105969 (2020)
Wang, Q., Li, X., Zhao, X., Zhao, C.: Characterization of temperature and strain using a tilted fiber Bragg grating. J. Instrum. Sci. Technol. 43(2), 244–254 (2015)
Yucel, M., Ozturk, N., Torun, M.: Design and application of a fiber Bragg grating array based temperature measurement system. J. Fac. Eng. Archit. Gazi Univ. 32(3), 957–964 (2017a)
Yucel, M., Torun, M., Burunkaya, M.: Improvement of signal to noise ratio in fiber Bragg grating based sensor systems. In: 2017 25th Signal Processing and Communications Applications Conference (SIU), Antalya, Turkey (2017b)
Zhang, L., Zhang, W., Bennion, I.: In-fiber grating optic sensors. In: Yin, S., Ruffin, P.B., Yu, F.T.S. (eds.) Fiber Optic Sensors, 2nd edn, pp. 109–162. CRC Press, Boca Raton (2008)
Zhang, W., Yang, B., Tong, Z., Miao, Y., Liu, B., Dong, X.: Temperature and strain sensing characteristics of the tilted fiber Bragg grating. Optoelectron. Lett. 6(5), 355–358 (2010)
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Kipriksiz, S.E., Yücel, M. Tilted fiber Bragg grating design for a simultaneous measurement of temperature and strain. Opt Quant Electron 53, 6 (2021). https://doi.org/10.1007/s11082-020-02609-w
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s11082-020-02609-w