# Sensing Characteristics of Side-Hole Fiber-Based Long-Period Grating

Authors: Yi Xin; Xinyong Dong; Junwei Yuan; Yi Li; Shangzhong Jin; Sulei Zhang
Journal: Advances in Materials Science and Engineering
 (2013)

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## Abstract

Long-period gratings (LPGs) have been fabricated in a side-hole fiber (SHF) by using a pulsed CO2 laser. Sensing characteristics of this SHF-LPG to temperature surrounding refractive index and bend have been investigated. Experimental results show that resonant wavelength of the SHF-LPG has a blue shift with temperature with sensitivity of −0.11 nm/°C, a blue shift with increasing sensitivity with surrounding refractive index ranging from 1.335 to 1.44 (the maximum sensitivity is achieved when the surrounding refractive index reaches the effective index of the fiber cladding), and a red shift with bend-direction-dependent sensitivity up to 9.36 nm/m−1.


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## Body

## 1. Introduction

Side-hole fiber (SHF) is a highly-birefringent fiber with two air holes running in parallel to the core in the cladding. It was first proposed by Xie et al. as a possible sensor for hydrostatic or acoustic pressure measurement [1]. The measurement is based on the anisotropic elastic stress and photoelastic effect introduced by pressure, and the pressure can be applied from inside of the air holes or from outside of the fiber [1, 2]. SHF may also have high temperature sensitivity with dB/dT up to 10−7/°C by controlling the amount of germanium doped in the core region and optimizing the distance between the core and side holes [3]. It is at least one order higher than that of standard polarization maintaining fibers (dB/dT ~10−8/°C). In recent years, special sensing applications have been investigated by filling air holes of SHF with liquid, gas, and even metal [4–8].Fiber gratings, with a periodic refractive index (RI) distribution in the axial direction of the fiber, are widely applied in fiber sensing and optical communication due to their many advantages such as simple structure, high sensitivity, well-controlled wavelength-selective capability, and capability of remote interrogation of multiple sensors [9–14]. SHF-based fiber grating devices have attracted lots of research interest [11–13]. Simultaneous measurement of strain and temperature has been reported by using a fiber Bragg grating (FBG) recorded on the fusion splicing joint between an SHF and a single-mode fiber (SMF) [11]. Simultaneously measurement of pressure and temperature has also been realized by using an FBG imprinted on the SHF with an elliptical core [12]. In our previous study, a long-period grating (LPG) has been introduced mechanically in an SHF and been applied to temperature and RI measurements [13]. However, it is not convenient in practical applications because the mechanical part cannot be removed. Otherwise the LPG will disappear.In this paper, LPGs are fabricated by using pulsed CO2 laser in the SHF with a cylindrical core, and their sensing characteristics to temperature surrounding refractive index and bend are investigated. The sensor fabrication and principle are presented in Section 2. The experiment results and discussions are shown in Section 3, and a conclusion is given in Section 4.


## 2. Sensor Fabrication and Principle

The schematic diagram of the CO2 laser system for LPG fabrication is shown in Figure 1. It consists of a broad band source (BBS) with a wavelength resolution of 0.1 nm, a 10 cm long SHF, and an optical spectrum analyzer (OSA) with a 3 dB bandwidth of 62 nm. The SHF used in the experiment, with a scanning electron micrograph (SEM) of the cross-section shown in the insert of Figure 1, has core and cladding diameters of 8 μm and 125 μm, respectively. The two air holes with the same diameter of 28 μm are located symmetrically in the cladding aside the core. The distance between the centers of the air holes and the core is 32 μm. The difference in RI between the core and cladding is 0.0056 [15]. The CO2 laser system, with a maximum output power of 10 W and Q-switch time of 105 μs, operates at a typical frequency of 5 kHz, which is probably the best frequency for glass to absorb the energy of the CO2 laser. The fiber is scanned at both x- and y-axes by means of a two-dimensional optical scanner attached to the laser head. Figure 2 shows the transmission spectrum of the so-formed LPG with period of 520 μm and length of 21.32 mm by 12 scanning cycles. The resonant wavelength of this LPG is 1536.3 nm with a notch depth of 18 dB.Figure 1
Schematic diagram of the CO2 laser system for LPG fabrication.Figure 2
Transmission spectrum of the SHF-LPG fabricated using CO2 laser.The LPG couples light power between the fundamental guided mode and forward-propagating cladding modes inside the fiber. As a result, several resonant modes may appear in the corresponding transmission spectrum. The resonant wavelength ofmth order mode is defined by the phase-matching condition [16]
(1)λm=(ncore-ncladm)Λ,
where Λ is the grating period; ncore and ncladm are the effective indices of the fundamental guided mode and the mth order cladding modes, respectively. The resonant wavelength of LPG can be expressed as [16]
(2)λmax=λres[1+δncore(dλres/dΛ)(ncore-nclm)2],
where δncore  is the average effective RI variation of the fundamental guided mode. The resonant wavelength and amplitude of LPG are sensitive to the change of average effective RI for every period of fiber core and fiber cladding, as coupling mode is very sensitive to perturbation of guided mode and cladding mode. Therefore, the change of external parameters, such as temperature, strain, bend, and RI, can be determined by measuring resonant wavelength shift of the SHF-LPG.


## 3. Experimental Results and Discussions

### 3.1. Temperature Sensing Characteristics of SHF-LPG

Temperature response of the SHF-LPG was tested by placing it into an oven and changing the temperature. The SHF-LPG was pasted on a capillary to prevent from the influence of strain and bend. During the measurement, the spectrum was recorded with a temperature interval of 10°C between 20°C and 80°C. Before each record, the temperature was maintained for 10 min to ensure its accuracy.Figure3(a) shows measured transmission spectra of the SHF-LPG under different temperatures. As temperature increases from 20°C to 80°C, the resonant wavelength has a blue shift from 1532.68 nm to 1526.17 nm. Figure 3(b) shows the resonant wavelength response to temperature. The achieved temperature sensitivity is -0.11 nm/°C with R-squared value of 0.984. The sensitivity is about 2 times higher than that of SMF-LPG written by CO2 laser [17], 1.35 times higher than that of mechanically-introduced SHF-LPG [13], and ten times higher than that of normal FBGs [3]. The resonant wavelength shifted to shorter wavelength because RI difference, Δn(Δn=ncore-ncladm), decreases with temperature. The thermal optic coefficient of the cladding is larger than that of the fiber core. The amplitude varies slightly with temperature that may be caused by the pneumatic impact on the oven. However, it does not affect the measurement accuracy because the measurement is based on wavelength, not intensity.(a) Transmission spectra of the SHF-LPG under different temperatures. (b) Resonant wavelength versus temperature.
(a)
(b)


### 3.2. Refractive Index Characteristics of SHF-LPG

The RI sensitivity was measured using sugar solution with different concentrations. The corresponding calibrated RI accuracy for each liquid is ±0.002 RIU. The SHF-LPG was put in groove of Plexiglas, applying a small prestressing force to straighten it. The resonant wavelength was recorded when the SHF-LPG was coated by liquid with a different surrounding RI. All the experiments were carried out in a controlled environment, where the effect of temperature variation can be ignored.Figure4(a) shows measured transmission spectra of the SHF-LPG under different surrounding RIs of 1.335, 1.39, and 1.44. The resonant wavelength exhibits blue shift, and the amplitude reduces with surrounding RI. The resonant wavelength had a shift of 4.5 nm, from 1534.4 nm to 1529.9 nm, when surrounding RI was changed from 1.335 to 1.44. Figure 4(b) shows the resonant wavelength shift against surrounding RI. The resonant wavelength exhibits a blue shift of 1.4 nm for the RI changing from 1.335 to 1.39 and a blue shift of 3.1 nm for the RI changing from 1.39 to 1.44. The maximum sensitivity is achieved when the surrounding RI reaches the effective index of the fiber cladding. The effective RI of cladding modes increases with surrounding RI; thus the RI difference, Δn, decreases. That makes the resonant wavelength of SHF-LPG blue shifts as (1) indicates.Transmission spectra of the SHF-LPG under different RIs. (b) Resonant wavelength versus RI.
(a)
(b)In this case, the RI-induced resonant wavelength shift is relatively small if it is compared with those of the SMF-LPG fabricated with the same method [18] and of the mechanically-introduced SHF-LPG [13]. The relatively lower RI sensitivity of SHF-LPG than SMF-LPG may be related to the relatively lower cladding effective RI of the SHF than SMF caused by the existence of the two air holes. According to [19], higher effective RI of fiber cladding may produce higher sensitivity of LPG to surrounding RI. As for mechanically-introduced SHF-LPG, the RI measurement sensitivity is higher than ours because it was carried out by infiltrating the tested liquid directly into air holes of the fiber; thus its modulation to effective RI of fiber cladding is better. However, the infiltrating method is not convenient in practical operation because the SHF cannot be fusion-spliced to other fibers.


### 3.3. Bend Characteristics of SHF-LPG

Figure5 shows the schematic diagram of the experimental setup for bend measurement using the SHF-LPG. Bend test was carried out by fixing the two ends of the sensing head on two translation stages and moving inward one stage to change the separation between them, so that different bend radii could be applied on the fiber sensor. The sensor’s bend curvature is given by c=2h/(h2+L2), where h is the bend displacement at the center of the sensor, c is the bend curvature, and L is the half of the distance between the two stages.Figure 5
Schematic diagram of bend measurement.The bend sensitivity is dependent on the bend direction because the SHF-LPG was side-inscripted, and the fiber cross-section is not symmetrical. During CO2 laser inscription, the index change on the incident side of the fiber is larger than that on the escape side because the light of both the incident side and escape side is different [17]. Asymmetric index change within the cross-section of the fiber leads to the bend sensitivity of the CO2 laser induced LPG depending on its inscription orientation strongly. Before measurement, the incident side of the SHF-LPG was put upward straightly and set as its initial position marked as 0°. Different bend directions were measured by clockwise rotation SHF.Figure6 shows measured transmission spectra of the SHF-LPG under different directions and bend curvatures. It can be seen obviously that the resonant wavelength and amplitude are different for different orientations of 0° and 180° even under the same curvature of 0.75 m−1. So the bend sensitivity of this SHF-LPG depends on its bend orientation strongly as aforementioned. Experimental results show that the incident direction is most sensitive to bend by adjusting the angle gradually. Figure 7(a) shows several transmission spectra of the sensor head with different bend curvatures at the incident direction. The resonant wavelength red shifts from 1534.7 nm to 1541.2 nm, and the amplitude decreases from −17.21 dB to −7.57 dB with bend increasing from 0.644 m−1 to 1.288 m−1. It can be explained that bend of the SHF-LPG leads to waveguide structure changes and axial strain. Waveguide structure changes result in the mode field distribution variation of fiber guided mode. Axial strain results in the effective RI variation of fiber. Figure 7(b) shows the relationship between bend curvature and the resonant wavelength. The achieved bend sensitivity is ~9.36 nm/°C with R-squared value of 0.98. The sensitivity is relatively higher than that, ~7 nm/m−1, of the SMF-LPG written by using CO2 laser.Figure 6
Transmission spectra of the SHF-LPG under different directions.(a) Transmission spectra of the SHF-LPG under different curvatures at the incident direction. (b) Resonant wavelength versus curvature.
(a)
(b)


## 3.1. Temperature Sensing Characteristics of SHF-LPG

Temperature response of the SHF-LPG was tested by placing it into an oven and changing the temperature. The SHF-LPG was pasted on a capillary to prevent from the influence of strain and bend. During the measurement, the spectrum was recorded with a temperature interval of 10°C between 20°C and 80°C. Before each record, the temperature was maintained for 10 min to ensure its accuracy.Figure3(a) shows measured transmission spectra of the SHF-LPG under different temperatures. As temperature increases from 20°C to 80°C, the resonant wavelength has a blue shift from 1532.68 nm to 1526.17 nm. Figure 3(b) shows the resonant wavelength response to temperature. The achieved temperature sensitivity is -0.11 nm/°C with R-squared value of 0.984. The sensitivity is about 2 times higher than that of SMF-LPG written by CO2 laser [17], 1.35 times higher than that of mechanically-introduced SHF-LPG [13], and ten times higher than that of normal FBGs [3]. The resonant wavelength shifted to shorter wavelength because RI difference, Δn(Δn=ncore-ncladm), decreases with temperature. The thermal optic coefficient of the cladding is larger than that of the fiber core. The amplitude varies slightly with temperature that may be caused by the pneumatic impact on the oven. However, it does not affect the measurement accuracy because the measurement is based on wavelength, not intensity.(a) Transmission spectra of the SHF-LPG under different temperatures. (b) Resonant wavelength versus temperature.
(a)
(b)


## 3.2. Refractive Index Characteristics of SHF-LPG

The RI sensitivity was measured using sugar solution with different concentrations. The corresponding calibrated RI accuracy for each liquid is ±0.002 RIU. The SHF-LPG was put in groove of Plexiglas, applying a small prestressing force to straighten it. The resonant wavelength was recorded when the SHF-LPG was coated by liquid with a different surrounding RI. All the experiments were carried out in a controlled environment, where the effect of temperature variation can be ignored.Figure4(a) shows measured transmission spectra of the SHF-LPG under different surrounding RIs of 1.335, 1.39, and 1.44. The resonant wavelength exhibits blue shift, and the amplitude reduces with surrounding RI. The resonant wavelength had a shift of 4.5 nm, from 1534.4 nm to 1529.9 nm, when surrounding RI was changed from 1.335 to 1.44. Figure 4(b) shows the resonant wavelength shift against surrounding RI. The resonant wavelength exhibits a blue shift of 1.4 nm for the RI changing from 1.335 to 1.39 and a blue shift of 3.1 nm for the RI changing from 1.39 to 1.44. The maximum sensitivity is achieved when the surrounding RI reaches the effective index of the fiber cladding. The effective RI of cladding modes increases with surrounding RI; thus the RI difference, Δn, decreases. That makes the resonant wavelength of SHF-LPG blue shifts as (1) indicates.Transmission spectra of the SHF-LPG under different RIs. (b) Resonant wavelength versus RI.
(a)
(b)In this case, the RI-induced resonant wavelength shift is relatively small if it is compared with those of the SMF-LPG fabricated with the same method [18] and of the mechanically-introduced SHF-LPG [13]. The relatively lower RI sensitivity of SHF-LPG than SMF-LPG may be related to the relatively lower cladding effective RI of the SHF than SMF caused by the existence of the two air holes. According to [19], higher effective RI of fiber cladding may produce higher sensitivity of LPG to surrounding RI. As for mechanically-introduced SHF-LPG, the RI measurement sensitivity is higher than ours because it was carried out by infiltrating the tested liquid directly into air holes of the fiber; thus its modulation to effective RI of fiber cladding is better. However, the infiltrating method is not convenient in practical operation because the SHF cannot be fusion-spliced to other fibers.


## 3.3. Bend Characteristics of SHF-LPG

Figure5 shows the schematic diagram of the experimental setup for bend measurement using the SHF-LPG. Bend test was carried out by fixing the two ends of the sensing head on two translation stages and moving inward one stage to change the separation between them, so that different bend radii could be applied on the fiber sensor. The sensor’s bend curvature is given by c=2h/(h2+L2), where h is the bend displacement at the center of the sensor, c is the bend curvature, and L is the half of the distance between the two stages.Figure 5
Schematic diagram of bend measurement.The bend sensitivity is dependent on the bend direction because the SHF-LPG was side-inscripted, and the fiber cross-section is not symmetrical. During CO2 laser inscription, the index change on the incident side of the fiber is larger than that on the escape side because the light of both the incident side and escape side is different [17]. Asymmetric index change within the cross-section of the fiber leads to the bend sensitivity of the CO2 laser induced LPG depending on its inscription orientation strongly. Before measurement, the incident side of the SHF-LPG was put upward straightly and set as its initial position marked as 0°. Different bend directions were measured by clockwise rotation SHF.Figure6 shows measured transmission spectra of the SHF-LPG under different directions and bend curvatures. It can be seen obviously that the resonant wavelength and amplitude are different for different orientations of 0° and 180° even under the same curvature of 0.75 m−1. So the bend sensitivity of this SHF-LPG depends on its bend orientation strongly as aforementioned. Experimental results show that the incident direction is most sensitive to bend by adjusting the angle gradually. Figure 7(a) shows several transmission spectra of the sensor head with different bend curvatures at the incident direction. The resonant wavelength red shifts from 1534.7 nm to 1541.2 nm, and the amplitude decreases from −17.21 dB to −7.57 dB with bend increasing from 0.644 m−1 to 1.288 m−1. It can be explained that bend of the SHF-LPG leads to waveguide structure changes and axial strain. Waveguide structure changes result in the mode field distribution variation of fiber guided mode. Axial strain results in the effective RI variation of fiber. Figure 7(b) shows the relationship between bend curvature and the resonant wavelength. The achieved bend sensitivity is ~9.36 nm/°C with R-squared value of 0.98. The sensitivity is relatively higher than that, ~7 nm/m−1, of the SMF-LPG written by using CO2 laser.Figure 6
Transmission spectra of the SHF-LPG under different directions.(a) Transmission spectra of the SHF-LPG under different curvatures at the incident direction. (b) Resonant wavelength versus curvature.
(a)
(b)


## 4. Conclusion

Long-period gratings (LPGs) have been fabricated in a side-hole fiber (SHF) by using a pulsed CO2 laser. Sensing characteristics of this SHF-LPG to temperature surrounding RI and bend have been investigated. Experimental results show that resonant wavelength of the SHF-LPG has a blue shift with temperature with sensitivity of −0.11 nm/°C, which is about 2 times higher than that of SMF-LPG written by using CO2 laser and 1.35 times higher than that of mechanically-introduced SHF-LPG. It also has a blue shift with increasing sensitivity with surrounding RI ranging from 1.335 to 1.44 and a red shift with bending-direction-dependent sensitivity up to 9.36 nm/m−1, which is relatively higher than that of normal SMF-LPGs. These superior sensing characteristics provide a basis for its application in optic fiber sensing areas.



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*Source: 850293-2013-08-25.xml*