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Sensor response to temperature. 

Sensor response to temperature. 

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A fibre Bragg grating sensing configuration is presented for simultaneous measurement of strain and temperature. The proposed concept relies on writing a single Bragg grating on the splice region of two fibres with different levels of germanium doping. Doing so, a grating structure appears with three resonance peaks, which show distinct temperature...

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... concept underlying the simultaneous measurement of strain and temperature only requires the monitoring of two grating signatures. Therefore, the two chosen were the ones associated with the SMF28 and SM1500 fibres. The splice-FBG was not considered for this job but the associated strain and temperature sensitivities were measured for completeness, turning out to be 1.04 ± 0.08 pm/µε and 9.51 ± 0.03 pm • C −1 , respectively. These values are not far from those obtained with the grating written in the SMF28 fibre, but with sufficient differentiation in order to sustain the possibility of using this sensing head for three- parameter simultaneous measurement [15]. Figures 3 and 4 show the responses of the two sensing gratings to changes in temperature and applied strain, respectively. As expected, different temperature sensitivities are observed for the two gratings, but they exhibit similar responses to applied strain. Considering the fact that there was no observable effect on the mechanical properties of the fibre, it can be concluded that K T SMF28 = K T SM1500 and K εSMF28 ≈ K εSM1500 . Therefore, a well-conditioned system of two equations for T and ε can be written which, from the slopes indicated in figures 3 and 4, is given by (λ SMF28 and λ SM1500 in nanometres and T , ε in degrees and The relative difference between the thermal coefficients of the two selected Bragg signatures is 15.4% (referenced to K T SMF28 ). For comparison, reported solutions based on dual gratings written in Ge/Ge + B [4] and in Ge/Er + Yb doped fibres [5] have values for such relative differences of 7.3% and 13.2%, respectively. Therefore, besides its intrinsic fabrication simplicity related to the fact that only a single-step UV exposure is needed (as also happens in the configuration described in [5]), the more favourable thermal behaviour of the sensing head proposed here indicates the potential for a better discrimination between temperature and strain induced effects. The amenability of single or composed sensing heads to multiplexing is always a merit factor. When fibre Bragg gratings are involved, the most natural and advantageous choice is wavelength multiplexing. The sensing concept proposed in this paper permits the serial wavelength multiplexing of some sensors, however its number is limited by two factors: each sensing head demands a relatively large fraction of the spectrum (around 12 nm), and the losses related to splicing two different optical fibres. Combining these two factors, wavelength multiplexing would probably be limited to two or three sensing ...

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Citations

... In practical application, it is a pressing problem to eliminate the cross sensitivity between temperature and strain [8][9][10]. The current solutions include reference to fiber gratings [11][12][13], the combination of different gratings [14][15][16][17][18], the fusion of fiber gratings with different cladding diameters [19][20][21], chirped fiber gratings [22], Fabry-Perot (FP)cavities [23][24][25][26], and microstructured fiber gratings [27][28][29][30]. Among these methods, referring to fiber gratings requires that the two gratings must have identical structures and parameters, raising higher requirements for fabricating. ...
... where α and ξ are thermal expansion and thermo-optic coefficients of the optical fiber, respectively. When the strain varies at a constant temperature, the central wavelength changes under the photoelastic effect, thus obtaining Eq. 6 [16]. ...
... In addition, there is the equation of P e1 P e2 n 2 eff [P 12 − v(P 11 + P 12 )]/2 [16], in which P 11 and P 12 are photoelastic coefficients of the fiber core and cladding, respectively. ...
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This work designed a dual-wavelength 2D fiber Bragg grating (FBG) engraved on the single-mode fiber to measure the temperature and strain. The FBG is composed of two sub-gratings that are not overlapped spatially at the same location of the fiber core. Experiments showed that the temperature and strain sensitivities of this grating were separately measured to be 10.64 p.m./°C and 0.882,731 p.m./μɛ at the central wavelength of 1,548 nm, and 10.74 p.m./°C and 0.916,080 p.m./μɛ at the central wavelength of 1,550 nm. These coefficients constitute a coefficient matrix that can solve the problem of cross sensitivity between temperature and strain, which has been verified by varying central wavelengths caused by the synchronous change of temperature and strain.
... This would require a temperature compensation strategy. Temperature effects can be discriminated from pure mechanical strain using a multitude of different approaches [77][78][79][80][81][82][83][84][85][86][87]. Therefore, this aspect does not imply any loss of generality of the methodology presented in this study. ...
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... Two FBGs was designed using SMF28 doped with 3 mol% GeO 2 in the core and SM1500 doped with 20 mol% GeO 2 in the core, and was calculated their temperature and strain sensitivities by the matrix method. The simultaneous measurement of temperature and strain was performed by attaching these two FBGs with the same temperature sensitivity and different strain sensitivity end-to-end (Frazao and Santos 2004). Two FBGs at Bragg wavelengths of 1549 and 1551 nm were designed using the Optigrating application, both temperature and strain was applied to a 1549 nm FBG, and a 1551 nm FBG was only exposed to temperature The simultaneous measurement of strain and temperature was performed by taking the difference between the wavelength change resulting from the simultaneous application of temperature and strain and the wavelength change resulting from only temperature application (Elgaud et al. 2016). ...
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... Moreover, fabrication requirements of our design is much simpler compared with other types of PCs cavity or ring resonator temperature sensors [58,59]. Compared with these structures, performance of the proposed structure is optimum as well [47,60,61]. For example, Xing-hu et al [47] investigated a limited value of sensitivity that is not exceeding 0.0112 nm°C −1 through the temperature variation from 30 to 80°C. ...
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... The transmission spectra of titled FBGs [14], superstructure [15] and dual-mode fiber based FBG [16] include too many resonance peaks which can also realize multi-parameter measurement simultaneously, but all of that sensor will take up too large spectrum range. Some other methods can achieve two peaks in spectrum after a single fabrication cycle such as using substrate flake [17] or writing FBG on fusion splice [18][19][20]. Scholars have reported a single grating schemes that FBG was written on the splice joint between two different fibers [20] or the same fibers [18][19]. The two dips have extremely similar temperature and strain sensitivity when FBG was written on the same fibers, and as a result it would cause errors in demodulation. ...
... Some other methods can achieve two peaks in spectrum after a single fabrication cycle such as using substrate flake [17] or writing FBG on fusion splice [18][19][20]. Scholars have reported a single grating schemes that FBG was written on the splice joint between two different fibers [20] or the same fibers [18][19]. The two dips have extremely similar temperature and strain sensitivity when FBG was written on the same fibers, and as a result it would cause errors in demodulation. ...
... In actual measurement for the double physical parameter, ∆λ A and ∆λ B are used to represent the shifts of two peaks, ∆T and ∆ε are the temperature and strain variation. Therefore, when the temperature and strain are applied on the hybrid structure simultaneously, the matrix form for the response of temperature and strain can be written as formula [20]: where K T A and K T B are the temperature sensitivities, K ε A and K ε B are the strain sensitivities of two peaks, respectively. If the four sensitivities mentioned above have been measured, the demodulation matrix for the two parameters can be derived as: ...
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... Common FBG multiparameter sensors are designed to measure temperature and strain simultaneously. [52][53][54][55][56][57][58][59][60] One of the earliest dual-parameter FBG sensors was based on a single FBG. Part of the FBG was preloaded and glued to the surface (strain measuring part), while part of the FBG was unattached/free and provided a temperature measuring section, 56,57 as shown in Fig. 20. ...
... An alternative similar and interesting approach is to splice together two fibers with dissimilar temperature sensitivities (i.e., fibers with different thermo-optic coefficients), and then inscribe an FBG over the splice region. 53,54 This leads to the formation of two FBG sections having different temperature sensitivities, while the strain responses for both fibers/gratings sections remains unaltered, which provides possibilities for unambiguous strain and temperature resolution. Different temperature sensitivities of individual fibers were achieved in reported works, either using two fibers with different germanium doping levels, 54 or by combining standard germanesilicate fiber with boron-co-doped fibers (boron doping increases the coefficient of thermal expansion of silica glass, which results in string temperature-dependent stress build up in the core, which leads to high-temperature sensitivity). ...
... 53,54 This leads to the formation of two FBG sections having different temperature sensitivities, while the strain responses for both fibers/gratings sections remains unaltered, which provides possibilities for unambiguous strain and temperature resolution. Different temperature sensitivities of individual fibers were achieved in reported works, either using two fibers with different germanium doping levels, 54 or by combining standard germanesilicate fiber with boron-co-doped fibers (boron doping increases the coefficient of thermal expansion of silica glass, which results in string temperature-dependent stress build up in the core, which leads to high-temperature sensitivity). 53 Another possible use of FBGs includes chirped FBGs. ...
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... Common FBG multiparameter sensors are designed to measure temperature and strain simultaneously. [52][53][54][55][56][57][58][59][60] One of the earliest dual-parameter FBG sensors was based on a single FBG. Part of the FBG was preloaded and glued to the surface (strain measuring part), while part of the FBG was unattached/free and provided a temperature measuring section, 56,57 as shown in Fig. 20. ...
... An alternative similar and interesting approach is to splice together two fibers with dissimilar temperature sensitivities (i.e., fibers with different thermo-optic coefficients), and then inscribe an FBG over the splice region. 53,54 This leads to the formation of two FBG sections having different temperature sensitivities, while the strain responses for both fibers/gratings sections remains unaltered, which provides possibilities for unambiguous strain and temperature resolution. Different temperature sensitivities of individual fibers were achieved in reported works, either using two fibers with different germanium doping levels, 54 or by combining standard germanesilicate fiber with boron-co-doped fibers (boron doping increases the coefficient of thermal expansion of silica glass, which results in string temperature-dependent stress build up in the core, which leads to high-temperature sensitivity). ...
... 53,54 This leads to the formation of two FBG sections having different temperature sensitivities, while the strain responses for both fibers/gratings sections remains unaltered, which provides possibilities for unambiguous strain and temperature resolution. Different temperature sensitivities of individual fibers were achieved in reported works, either using two fibers with different germanium doping levels, 54 or by combining standard germanesilicate fiber with boron-co-doped fibers (boron doping increases the coefficient of thermal expansion of silica glass, which results in string temperature-dependent stress build up in the core, which leads to high-temperature sensitivity). 53 Another possible use of FBGs includes chirped FBGs. ...
... where M = k FPε k FBGT -k FPT k FBGε is determinant of the coefficient matrix, which must be non-zero for possible simultaneous measurement [36]. ...
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... To all of them, optical fiber sensor has attracted great attention for its many advantages, such as high sensitivity, low cost, fast response, etc. There are various types of fiber, such as no-core fiber [16], Multimode fiber [17], fiber Bragg gratings [18,19], core-offset structure [20], tapered structure [21] and photonic crystal fiber [22,23], etc. are used for temperature measurement. Fiber Bragg gratings are best for the external refractive index immunity, but its temperature response is low and long period fiber grating [24,25] has very good temperature response but it has some limitations such as complicated structure and needs expensive experimental facilities. ...
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