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Tilted fiber Bragg grating design for a simultaneous measurement of temperature and strain

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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.

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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

core − λghost|:

Distance between the core and ghost modes

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Correspondence to Murat Yücel.

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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

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