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Journal of Sensors

Volume 2012 (2012), Article ID 539095, 17 pages

http://dx.doi.org/10.1155/2012/539095

## Sensing and Demodulation of Special Long-Period Fiber Gratings Induced by Scanning Laser Pulses

Key Laboratory of Optoelectronic Technology and Systems of the Ministry of Education of China, Chongqing University, Chongqing 400044, China

Received 16 March 2012; Revised 28 September 2012; Accepted 8 October 2012

Academic Editor: Eugenio Martinelli

Copyright © 2012 Tao Zhu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

#### Abstract

A review of long-period fiber gratings (LPFGs) with special structures induced by scanning CO_{2} laser pulses in single mode fiber (SMF) is presented in this paper. In the first part, the special structures and fabrication methods of LPFGs are demonstrated in detail. Next, the special LPFG-based sensors are demonstrated, such as refractive index sensor, strain sensor with temperature compensation, and torsion sensor without temperature crosstalking. Finally, several investigation methods including intensity, wavelength shift, and fiber ring laser demodulation are discussed.

#### 1. Introduction

Long period fiber grating (LPFG) with a typical period of tens or hundreds of micrometers could couple the fundamental core mode to the cladding modes under the phase match condition, leaving a series of notches at some specific wavelengths in the transmission spectrum [9]. LPFG is more sensitive to the ambient perturbations than fiber Bragg grating (FBG) in which modes coupling takes place only between forward and backward core modes. So far, LPFG has been used for the measurements of refractive index, temperature, bending and torsion, and so forth. Many methods have been proposed to fabricate LPFG, such as ultraviolet (UV) laser exposure [9–13], electric-arc discharge [14–19], CO_{2} laser irradiation [2, 20–29], mechanical pressure [30–35], etched corrugations [36–39], ion beam implantation [40, 41], and femtosecond laser exposure [42–50]. Among them, UV laser exposure method is most popular owing to its easy fabrication, high repeatability, and mass fabrication of symmetric LPFGs. However, the requirement to the photosensitive fiber is the disadvantage of this method, leading to that the fabricated gratings cannot work over high temperature conditions (say, more than 250°C). Electric-arc discharge, mechanical pressure, etched corrugations, ion beam implantation, femtosecond laser exposure, and point CO_{2} laser or scanning CO_{2} laser irradiation all are asymmetric fabrication methods. Except for scanning CO_{2} laser method, other fabrication methods can not realize mass fabrication and high repetition grating fabrication. In particular, these methods also cannot fabricate special LPFGs with complicated index profile.

Compared with other techniques, employing scanning CO_{2} laser pulses to fabricate LPFG is flexible and low-cost. This is because hydrogen loading and other additional process are not required and it is convenient to fabricate LPFGs with special refractive index modulation distribution [1, 3–7, 51–57]. It is important for LPFGs to enhance sensing sensitivity and overcome the cross-influence among measured parameters, such as refractive index, strain, torsion, and temperature. That is why some special LPFGs are proposed in recent years. In this paper a review of CO_{2} laser-induced special LPFGs is presented. The principle and fabrication of the special LPFGs including the LPFGs with rotary refractive index modulation, edge distributed refractive index modulation, or periodic grooves are presented in Section 2. The special LPFG-based sensors used for measuring the ambient refractive index, torsion, and strain are listed in Section 3. The investigation methods of the sensors are summarized in Section 4, such as wavelength shift method, intensity and fiber ring laser demodulation method. Conclusion is in Section 5.

#### 2. Principle and Fabrication of CO_{2} Laser-Induced LPFGs

##### 2.1. Normal LPFGs

Figure 1(a) shows the schematic diagram of the setup for fabricating LPFGs using scanning CO_{2} laser. The CO_{2} laser beam that focuses on the fiber scans across the fiber transversely (*X* direction) and then advances along the fiber (*Y* direction) with a step equal to the grating period. The difference between point CO_{2} laser method and scanning CO_{2} method is the moving objects; that is, only the fiber is movable for the former while only the CO_{2} laser beam is movable for the latter. One scanning cycle is completed when the number of grating periods is reached. And the scanning cycle could be repeated as many times as needed. The typical transmission spectrum of an LPFG with a period of 630 *μ*m and grating length of 37.8 mm is shown in Figure 1(b). There is a loss peak in the spectrum since the fundamental core mode is coupled to the copropagating cladding modes which will leak out from the fiber. The wavelength at which the loss peak occurs is determined by the phase match condition , where and are the propagation constants of the fundamental core mode and cladding mode, respectively, and is the grating period [9]. Thus the resonant wavelength of the LPFG could be given by , where is the resonant wavelength, and are the effective indices of the fundamental core mode and cladding mode, respectively.

It should be noted that the LPFGs fabricated by scanning CO_{2} laser method have asymmetric structures [2], which are different from UV-induced LPFGs. Since the silica glass has strong absorption around the wavelength of the CO_{2} laser, that is, 10.6 *μ*m, the beam intensity is gradually attenuated along the incident direction, resulting in asymmetric refractive index modulation within the cross section of the fiber.

##### 2.2. LPFGs with Special Structures

###### 2.2.1. Edge-Written LPFG

The refractive index modulation distributes both in the core and cladding in the CO_{2} laser-induced normal LPFGs. To make sure that the refractive index disturbance occurs only in the cladding region, a kind of edge-written LPFG (E-LPFG) is fabricated by properly controlling the exposure energy and pulse time of the CO_{2} laser using the setup shown in Figure 1(a) [1]. The refractive index distribution of the cross section of the E-LPFG is shown in Figure 2(a). The micrograph of the E-LPFG is shown in Figure 2(b), with the written depth of the LPFG ~35 *μ*m.

To verify that the refractive index modulation occurs only in outer cladding of the fiber, the diameter of a fiber is etched by ~104 *μ*m, which means that the diameter of the fiber is ~21 *μ*m. The partial micrographs of the original E-LPFG and the etched E-LPFG are shown in Figure 3(a). The transmission spectra are shown in Figure 3(b), indicating that no grating existed when the diameter of the fiber is ~21 *μ*m; that is, no refractive index modulation occurs in the fiber core.

###### 2.2.2. Edge-Written LPFG with Periodic Grooves

Based on the method mentioned in Section 2.2.1, an edge-written LPFG with periodic grooves could be fabricated by increasing the laser energy [3]. The photograph of the grating structure is shown in Figure 4(a). The transmission spectrum evolution of the LPFG with a grating pitch of 400 *μ*m is shown in Figure 4(b).

By increasing the laser energy and enlarging the grating period of the E-LPFG, an ultra-long-period fiber grating with periodic grooves (G-ULPFG) distributed in outer cladding region of the fiber could be fabricated. The micrograph of a G-ULPFG with groove depth of ~30 *μ*m and grating period of 2 mm is shown in Figure 5(a). The transmission spectrum of the G-ULPFG is shown in Figure 5(b), indicating that the fundamental core mode couples with the cladding mode of the th diffraction order [4]. That means every resonant peak of G-ULPFG has independent sensing sensitivity, which provides one way to realize multiparameters sensing by using one single sensor.

###### 2.2.3. LPFG with Rotary Refractive Index Modulation

To fabricate an LPFG with rotary refractive index modulation (R-LPFG), two ends of the fiber are fixed at two holders separated by a distance , and the fiber is twisted by rotating a disc attached to one of the holders by circles, as shown in Figure 6. A normal twisted LPFG is fabricated in the fiber with a twist period . Such an LPFG is referred to as T-LPFG [5]. The twist is removed by rotating the disc in opposite direction or releasing the fiber from the holders directly. Hence, there is a rotary refractive index modulation distribution along the fiber and it is referred to as R-LPFG. Unlike the LPFG with a screw-type index modulation, the rotary refractive index modulation of R-LPFG is discrete [52].

A comparison of the transmission spectra of several R-LPFGs and the corresponding T-LPFGs is shown in Figure 7. The gratings have a period of mm and a length of mm (50 periods). When the twist period is larger than ~60 mm, 2 or 3 scanning cycles are needed to generate a strong T-LPFG. When the twist period is smaller than ~60 mm, however, only one scanning cycle is sufficient. As shown in Figure 7, the transmission spectrum of the T-LPFG consists of two rejection bands (at ~1430 and ~1550 nm) within the wavelength range of the broadband source, which correspond, respectively, to the couplings to two different orders of the cladding modes. The rejection bands of the T-LPFG are insensitive to the twist rate. On the other hand, the transmission spectrum of the R-LPFG is highly sensitive to the twist rate. At a low twist rate ( mm), the spectrum of the R-LPFG is similar to that of the corresponding T-LPFG, which is expected. At a high twist rate ( and 30 mm), each of the rejection bands is split into two completely. At a medium twist rate (, 60, and 50 mm), the split rejection bands overlap. It can be seen that the amount of wavelength splitting increases with the twist rate. The results show that untwisting a T-LPFG produces an R-LPFG whose characteristics depend strongly on the amount of applied twist in the writing of the T-LPFG.

###### 2.2.4. LPFG with Rotary Grooves

According to the same procedure of R-LPFG fabrication, an LPFG with periodic grooves (G-R-LPFG) rotating along the fiber could be fabricated if the laser power is high enough to carve grooves on the cladding of the fiber [6]. The structure of a grating with rotary grooves over a length of is shown in Figure 8. The fiber used is a conventional single-mode fiber (Corning, SMF-28). The grating period and the period number are 500 *μ*m and 60, respectively. Figure 9(a) shows the growth of the resonance peak of the T-LPFG during the writing of the grating, where the twist rate used is °/mm. The resonance peak shifts towards shorter wavelength as the number of the scanning cycles increases, similar to the case of writing a normal LPFG with high-frequency CO_{2}-laser pulses. Figure 9(b) shows the evolution of the G-R-LPFG. After the fiber is untwisted, two original resonance peaks of T-LPFG split into two smaller ones, respectively, and the coupling coefficients are different. For example, the peak at 1569.4 nm splits into two smaller ones at 1557.8 nm and 1593.7 nm, respectively. The amplitudes of the two split peaks are −4.92 dB and −8.13 dB. However, the peak at 1403.5 nm splits into two very weak ones. In the experiments, the peak splitting phenomena of the G-R-LPFG were not observed when twist rate * η* is less than 3.6°/mm or so. It is a pity that the exact physical mechanism responsible for the observed phenomena is yet to be fully understood.

#### 3. Sensing Applications of Special LPFGs

##### 3.1. Refractometer

The transmission spectra of the E-LPFGs with different writing depths but same length are shown in Figure 10. It can be seen that the writing efficiency of the E-LPFG with writing depth of ~35 *μ*m is higher than that of ~15 *μ*m since complete coupling between the core mode and higher order cladding modes needs a larger refractive index modulation.

To measure the ambient refractive index within the range of 1.33~1.45 at room temperature, the E-LPFG with a writing depth of ~15 *μ*m and grating period of 500 *μ*m is used. Compared with the conventional LPFG, the E-LPFG has much higher refractive index sensitivity, especially in higher refractive index range, as shown in Figure 11. The resonant wavelength shifts nonlinearly with respect to the refractive index and the wavelength of the E-LPFG shifts ~24.2 nm for an index range from 1.33 *μ*m to 1.45 *μ*m.

It should be noted that the temperature change will influence the refractive index measurement of E-LPFG. However, the cross effect could be decreased by employing G-ULPFG because there are several resonant peaks with different temperature and refractive index sensitivities due to the different coupling orders.

The refractive index responses of the resonant peaks and at room temperature are shown in Figures 12(a) and 12(b), respectively. As shown in Figure 12(c), the resonant peak has little wavelength shift while the resonant peak shifts nonlinearly toward shorter wavelength by ~22 nm in the range of 1.33–1.45. But both of the resonant peaks shift toward the same direction with different temperature sensitivities. For the temperature range from 10°C to 100°C, the temperature sensitivities of the resonant peaks and are 0.076 nm/°C and 0.033 nm/°C, respectively, as shown in Figure 13. Therefore such a G-ULPFG could be used as a refractive index sensor with temperature self-compensation. The principle is that the resonant peak with higher differential order is used to measure refractive index while the resonant peak with a low differential order is used to measure temperature. Also the error of refractive index measurement based on its temperature characteristics should be compensated.

##### 3.2. Torsion Sensor with Temperature Self-Compensation

It has been found that LPFGs fabricated by different methods demonstrate different torsion response. LPFGs induced by UV laser or mechanical pressure cannot be used to sense applied torsion while the LPFGs fabricated by electric-arc discharging, etching or CO_{2} laser irradiation can be used to measure the torsion rate and direction simultaneously [36, 52, 58–61]. However, the LPFGs induced by CO_{2} laser in SMF are also sensitive to temperature change, resulting in errors for torsion measurement [2]. To eliminate the cross effect of temperature change, an R-LPFG could be used as a torsion sensor. An LPFG with a period of 570 *μ*m and a length of 28.5 mm is fabricated in a twisted SMF with twist period of 30 mm and then released gradually. The transmission spectra of the T-LPFG and R-LPFG are shown in Figure 14, demonstrating the wavelength splitting phenomena. The wavelength separation between every two regenerated resonant peaks changes with the applied torsion, as shown in Figures 15(a) and 15(b), enabling it to be useful for torsion measurement.

The temperature experiment of a 50-period R-LPFG with grating period of 570 *μ*m and twist period of 50 mm is shown in Figure 16. It can be seen that the temperature sensitivities of two split wavelengths are the same with a value of ~0.07 nm/°C and the changes in the amplitudes of two resonant peaks with temperature are small. Hence, the applied torsion could be measured without temperature cross effect by tracing the wavelength separation.

##### 3.3. Strain Sensor

The LPFG formed by carving periodic grooves with CO_{2} laser has a strain sensitivity of 0.12 nm/*μ**ε* in the range from 0 to 100 *μ**ε* but suffers from temperature interference [3]. Although R-LPFGs could be used as strain sensors with temperature self compensation [62], the strain sensitivity of the R-LPFG is only ~0.0053 nm/*μ**ε*. Like R-LPFGs, wavelength splitting also occurs in G-R-LPFGs when the applied torsion is released, as shown in Figure 17. Moreover the experimental results show that the temperature sensitivities of and separated by 33.6 nm are 0.072 nm/°C and 0.0726 nm/°C, respectively, indicating that it is insensitive to temperature vibration.

The strain responses of and are shown in Figures 18(a) and 18(b), respectively. Within 700 *μ**ε* the strain sensitivities of and are −0.05237 nm/*μ**ε* and +0.053 nm/*μ**ε*, respectively. The separation between the two wavelengths as a function of strain is shown in Figure 18(c), demonstrating that the strain sensitivity of the G-R-LPFG is 0.1067 nm/*μ**ε* when the strain is less than 700 *μ**ε*. The sensitivity of the G-R-LPFG is much higher than that of R-LPFG (~20 times).

#### 4. Demodulation of LPFGs

##### 4.1. Wavelength Shift

Most of the LPFG-based sensors are demodulated by wavelength shift since it is easy to trace the shift with the help of optical spectrum analyzer (OSA). However the OSA is generally very expensive and bulky, increasing the cost and decreasing the flexibility of the measurement system. Moreover, the bandwidth of the LPFG is much broader than that of the FBG, implying that it requires higher resolution OSA to minimize the measurement error. Another inconvenience for demodulating the LPFGs is that the light source and demodulation terminals are separated since LPFGs work in the transmission mode. To overcome the difficulties, the transmission spectrum of the LPFG is inverted by putting a mirror in the cladding region of a fiber end-face to reflect only the cladding modes [63]. The end face mirror can be realized through four steps: (a) to fabricate an LPFG, (b) to make a polymetric microtip using photopolymer, (c) to coat the fiber end face with sputtering deposition, (d) to break the microtip under CCD camera. The typical grating structure is shown in Figure 19. However, the inherent broad bandwidth of the LPFG limits the precision of measurements when the measurement is realized by means of wavelength shift.

##### 4.2. Intensity Demodulation

For some LPFGs, the amplitudes of resonant peaks change with the strain, ambient refractive index or other perturbations, leading to that the LPFGs can be demodulated by monitoring the intensity vibrations of resonant peaks. One solution to intensity demodulation proposed by Wang et al. is shown in Figure 19 [7]. The light from the broadband light source LED with symmetric spectrum near the resonant wavelength of the LPFG is equally divided into two parts by a 3 dB coupler () and then illuminates FBG_{1} and FBG_{2} with Bragg wavelengths of and , respectively. and should be specially selected to satisfy the relation . The light reflected by FBG_{1} and FBG_{2} is directed to an LPFG and received by PD_{1} and PD_{2}, respectively. By subtracting the intensities and detected by PD_{1} and PD_{2}, the intensity fluctuations at and could be eliminated and the temperature sensitivity could also be doubled by this method.

Another solution to intensity demodulation is to detect the intensity at a certain wavelength that is slightly larger than the resonant wavelength [64]. Therefore only a monochromatic source is needed to illuminate the LPFG and the variation in core power could be measured by a power meter, reducing the cost but increasing the robustness of the system. It is also convenient to realize real-time measurement with this method. However, it has the problem of limiting the measurement range of the LPFG since the transmission spectrum of LPFG is symmetric with respect to the resonant wavelength.

##### 4.3. Fiber Ring Laser Investigation

The interferometric sensor based on Mach-Zehnder interferometers (MZIs) with two cascaded R-LPFGs could also be used as a multichannel bandpass filter, as shown in Figure 20(a). When the MZI is incorporated into a standard fiber ring cavity, the wavelength with the highest intensity in the transmission spectrum of the MZI will be chosen as the lasing wavelength of the fiber ring laser [8]. And the lasing wavelength shifts with the torsions applied to the MZI. For example, the emitting wavelength of the fiber ring laser shifts ~16 nm in the torsion range of ±100 rad/m, as shown in Figure 20(b) [8]. Also, the method could be used to measure refractive index, temperature, and strain.

Compared with the passive LPFG-based sensors, the sensors demodulated by using fiber ring laser can realize more precise measurement since the fiber laser has narrower linewidth and higher side-mode suppression ratio (~40 dB). It can be found from Figure 20(b) that the laser spectra are similar to that of the FBGs, which means that all the demodulation methods applicable to FBGs can be used to demodulate the LPFG-based interferometric sensors.

##### 4.4. Remote Sensing Based on LPFGs and Fiber Ring Laser

Most of the LPFG-based sensors are demodulated by the wavelength shift, where an expensive optical spectrum analyzer (OSA) is indispensable. Moreover it is inconvenient for remote measurement where the light source and OSA are separated by long distance since LPFG works in the transmission mode. To overcome this difficulty, the transmission spectrum of the LPFG is inverted by making a mirror on the cladding region of a fiber end face to reflect the cladding modes. The reflected cladding modes are coupled back to the core by the same LPFG, resulting in pass bands centered at the resonant wavelengths of the LPFG. However, the inherent broad bandwidth of the LPFG limits the precision of measurements when the measurement is realized by means of wavelength shift. Recently, a remote sensing system based on LPFG and fiber ring laser is presented [65]. The stop-band in the transmission spectrum of the LPFG is inverted into a pass-band by fusion splicing a piece of HCF to the grating. Then such an inverted LPFG is employed in the master and slave ring laser, in which the grating is used as the wavelength selector and sensor head simultaneously. The temperature experiment shows that such a system can measure the temperature more than 1 km away and the sensitivity is ~0.02 nm/°C within the range of 20–150°C.

The remote sensing schematic diagram is shown in Figure 21 [65]. The LPFG with band pass characteristics working in the reflective mode is used as sensor and band pass filter simultaneously, which is shown schematically in Figure 22(a). The input light is coupled to the cladding by the LPFG and propagates along the fiber as cladding mode and reflected by the cladding-air interface of the hollow core fiber (HOF). The microscope of the cross section of the HOF is shown in Figure 22(b), showing that the diameter of the core is ~13 *μ*m. The input light that propagates in the SMF core leaks into the HOF cladding since the refractive index of the core in HOF is less than that of the cladding. And the Fresnel reflection occurs in the core-air interface when the SMF and HCF are reduced by increasing the arc discharge of the splicer and push distance of the SMF when the SMF and HOF are fusion-spliced. Therefore a pass band instead of interference formed at the output when the cladding mode is coupled to the core. The spectra of the LPFG and the reflective bandpass LPFG are shown in Figure 23.

When the temperature around the LPFG is gradually increased from 20°C to 150°C with a step of 10°C and stayed for 10 min at each step. The laser output and wavelength shift are shown in Figure 24(a) and Figure 24(b), respectively. It can be found from Figure 24(a) that the laser output is very similar to the reflect spectrum of an FBG. The demodulation method of the Re-LPFG could be changed from the original wavelength shift completed by the OSA to those that have been used widely by the FBG, such as tunable F-P filter, linear edge filter, and interferometer. Figure 24(b) shows such a sensor has a temperature sensitivity of ~0.02 nm/°C within the range of 20–150°C. The main reason for the measurement error shown in Figure 24(b) is the instability of the laser, which is caused by the inherent asymmetric grating structure of single-side irradiation-induced LPFG. It has been shown that the resonant wavelength of the LPFG written by single side CO_{2} laser irradiation method shifts to ~0.2 nm when two orthogonally polarized lights are coupled into the LPFG, respectively. The central wavelength of the bandpass signal that determines the lasing wavelength of the fiber ring laser is also sensitive to the change in the state of polarization (SOP). The measurement error could be improved if the good symmetric LPFGs were fabricated by multiedge exposure of CO_{2} laser, or by rotating the fiber during the exposure process. Besides, the resolution limit of the OSA also contributes to the error.

#### 5. Conclusion

The paper presents a review of special LPFGs fabricated by scanning CO_{2} laser, including edge-written LPFGs, LPFGs/ULPFGs with periodic grooves, LPFGs fabricated in twisted fibers, and LPFG with rotary grooves. As for the refractive index sensor, torsion sensor, or strain sensor, the sensitivities of the special LPFGs are higher than that of the normal LPFGs induced by CO_{2} laser. More importantly, some of the special LPFGs could realize temperature self-compensation, avoiding the cross effect between temperature and other measurands. Compared with the wavelength shift and intensity demodulation methods, fiber ring laser investigation method is more competitive since broadband source and OSA are not required and the methods for FBG demodulation can also be used. The special LPFGs could be widely used in optical sensing fields due to its high sensitivity, temperature self-compensation, and easy demodulation.

#### Acknowledgments

This work is supported by the Project of Nature Science Foundation of China under Grants no. 61007049 and 60807019 and the Program for NCET (Grant no. NCET-08-0602).

#### References

- T. Zhu, Y. J. Rao, J. L. Wang, and Y. Song, “A highly sensitive fiber-optic refractive index sensor based on an edge-written long-period fiber grating,”
*IEEE Photonics Technology Letters*, vol. 19, no. 24, pp. 1946–1948, 2007. View at Publisher · View at Google Scholar · View at Scopus - Y. J. Rao, Y. P. Wang, Z. L. Ran, and T. Zhu, “Novel fiber-optic sensors based on long-period fiber gratings written by high-frequency CO
_{2}laser pulses,”*Journal of Lightwave Technology*, vol. 21, no. 5, pp. 1320–1327, 2003. View at Publisher · View at Google Scholar · View at Scopus - Y. P. Wang, D. N. Wang, W. Jin, Y. J. Rao, and G. D. Peng, “Asymmetric long period fiber gratings fabricated by use of CO
_{2}laser to carve periodic grooves on the optical fiber,”*Applied Physics Letters*, vol. 89, no. 15, Article ID 151105, 2006. View at Publisher · View at Google Scholar · View at Scopus - T. Zhu, Y. Song, Y. J. Rao, and Y. Zhu, “Highly sensitive optical refractometer based on edge-written ultra-long-period fiber grating formed by periodic grooves,”
*IEEE Sensors Journal*, vol. 9, no. 6, pp. 678–681, 2009. View at Publisher · View at Google Scholar - T. Zhu, K. S. Chiang, Y. J. Rao, C. H. Shi, Y. Song, and M. Liu, “Characterization of long-period fiber gratings written by CO
_{2}laser in twisted single-mode fibers,”*Journal of Lightwave Technology*, vol. 27, no. 21, pp. 4863–4869, 2009. View at Publisher · View at Google Scholar · View at Scopus - T. Zhu, Y. J. Rao, Y. Song, K. S. Chiang, and M. Liu, “Highly sensitive temperature-independent strain sensor based on a long-period fiber grating with a CO
_{2}-laser engraved rotary structure,”*IEEE Photonics Technology Letters*, vol. 21, no. 8, pp. 543–545, 2009. View at Publisher · View at Google Scholar · View at Scopus - Y. P. Wang, D. N. Wang, and W. Jin, “CO
_{2}laser-grooved long period fiber grating temperature sensor system based on intensity modulation,”*Applied Optics*, vol. 45, no. 31, pp. 7966–7970, 2006. View at Publisher · View at Google Scholar · View at Scopus - L. L. Shi, T. Zhu, Y. E. Fan, K. S. Chiang, and Y. J. Rao, “Torsion sensing with a fiber ring laser incorporating a pair of rotary long-period fiber gratings,”
*Optics Communications*, vol. 284, no. 22, pp. 5299–5302, 2011. View at Publisher · View at Google Scholar - A. M. Vengsarkar, P. J. Lemaire, J. B. Judkins, V. Bhatia, T. Erdogan, and J. E. Sipe, “Long-period fiber gratings as band-rejection filters,”
*Journal of Lightwave Technology*, vol. 14, no. 1, pp. 58–64, 1996. View at Scopus - V. Bhatia and A. M. Vengsarkar, “Optical fiber long-period grating sensors,”
*Optics Letters*, vol. 21, no. 9, pp. 692–694, 1996. View at Scopus - H. Kawano, H. Muentz, Y. Sato, J. Nishimae, and A. Sugitatsu, “Reduction of transmission spectrum shift of long-period fiber gratings by a UV-preexposure method,”
*Journal of Lightwave Technology*, vol. 19, no. 8, pp. 1221–1227, 2001. View at Publisher · View at Google Scholar · View at Scopus - B. O. Guan, H. Y. Tam, S. L. Ho, S. Y. Liu, and X. Y. Dong, “Growth of long-period gratings in H
_{2}-loaded fiber after 193-nm UV inscription,”*IEEE Photonics Technology Letters*, vol. 12, no. 6, pp. 642–644, 2000. View at Publisher · View at Google Scholar · View at Scopus - X. Chen, K. Zhou, L. Zhang, and I. Bennion, “Optical biochemical sensors based on long-period fibre gratings UV-inscribed in D-fibre with enhanced sensitivity by HF etching process,” in
*Proceedings of the SPIE International Conference on Advanced Laser Technologies: Biomedical Optics (ALT '03)*, vol. 5486, pp. 187–191, September 2003. View at Publisher · View at Google Scholar · View at Scopus - I. K. Hwang, S. H. Yun, and B. Y. Kim, “Long-period fiber gratings based on periodic microbends,”
*Optics Letters*, vol. 24, no. 18, pp. 1263–1265, 1999. View at Scopus - G. Humbert and A. Malki, “Characterizations at very high temperature of electric arc-induced long-period fiber gratings,”
*Optics Communications*, vol. 208, no. 4–6, pp. 329–335, 2002. View at Publisher · View at Google Scholar · View at Scopus - G. Rego and O. Ivanov, “Investigation of the mechanisms of formation of long-period gratings arc-induced in pure-silica-core fibres,”
*Optics Communications*, vol. 284, no. 8, pp. 2137–2140, 2011. View at Publisher · View at Google Scholar · View at Scopus - W. J. Bock, J. Chen, P. Mikulic, T. Eftimov, and M. Korwin-Pawlowski, “Pressure sensing using periodically tapered long-period gratings written in photonic crystal fibres,”
*Measurement Science and Technology*, vol. 18, no. 10, pp. 3098–3102, 2007. View at Publisher · View at Google Scholar · View at Scopus - G. Humbert, A. Malki, and M. Ketata, “Long-period fiber gratings filters fabrications and characterizations using electric arc in non-hydrogenated fibers,” in
*Proceedings of the SPIE Active and Passive Optical Components for WDM Communication*, vol. 4532, pp. 510–516, August 2001. View at Publisher · View at Google Scholar · View at Scopus - G. Rego and O. V. Ivanov, “Two types of resonances in long-period gratings induced by arc discharges in boron/germanium co-doped fibers,”
*Optics Letters*, vol. 32, no. 20, pp. 2984–2986, 2007. View at Publisher · View at Google Scholar · View at Scopus - D. D. Davis, T. K. Gaylord, E. N. Glytsis, S. G. Kosinski, S. C. Mettler, and A. M. Vengsarkar, “Long-period fibre grating fabrication with focused CO
_{2}laser pulses,”*Electronics Letters*, vol. 34, no. 3, pp. 302–303, 1998. View at Scopus - D. D. Davis, T. K. Gaylord, E. N. Glytsis, and S. C. Mettler, “CO
_{2}laser-induced long-period fibre gratings: spectral characteristics, cladding modes and polarisation independence,”*Electronics Letters*, vol. 34, no. 14, pp. 1416–1417, 1998. View at Scopus - D. D. Davis, T. K. Gaylord, E. N. Glytsis, and S. C. Mettler, “Very-high-temperature stable CO
_{2}-laser-induced long-period fibre gratings,”*Electronics Letters*, vol. 35, no. 9, pp. 740–742, 1999. View at Publisher · View at Google Scholar · View at Scopus - G. Kakarantzas, T. E. Dimmick, T. A. Birks, R. Le Roux, and P. S. J. Russell, “Miniature all-fiber devices based on CO
_{2}laser microstructuring of tapered fibers,”*Optics Letters*, vol. 26, no. 15, pp. 1137–1139, 2001. View at Scopus - G. Kakarantzas, T. A. Birks, and P. S. J. Russell, “Structural long-period gratings in photonic crystal fibers,”
*Optics Letters*, vol. 27, no. 12, pp. 1013–1015, 2002. View at Scopus - Y. Zhu, P. Shum, J. H. Chong, M. K. Rao, and C. Lu, “Deep-notch, ultracompact long-period grating in a large-mode-area photonic crystal fiber,”
*Optics Letters*, vol. 28, no. 24, pp. 2467–2469, 2003. View at Scopus - Y. Wang, L. Xiao, D. N. Wang, and W. Jin, “In-fiber polarizer based on a long-period fiber grating written on photonic crystal fiber,”
*Optics Letters*, vol. 32, no. 9, pp. 1035–1037, 2007. View at Publisher · View at Google Scholar · View at Scopus - H. W. Lee, Y. Liu, and K. S. Chiang, “Writing of long-period fiber gratings in conventional and photonic-crystal polarization-maintaining fibers by CO
_{2}laser pulses,”*IEEE Photonics Technology Letters*, vol. 20, no. 2, pp. 132–134, 2008. View at Publisher · View at Google Scholar - Y. Wang, W. Jin, J. Ju et al., “Long period gratings in air-core photonic bandgap fibers,”
*Optics Express*, vol. 16, no. 4, pp. 2784–2790, 2008. View at Publisher · View at Google Scholar · View at Scopus - H. Xuan, W. Jin, and M. Zhang, “CO
_{2}laser induced long period gratings in optical microfibers,”*Optics Express*, vol. 17, no. 24, pp. 21882–21890, 2009. View at Publisher · View at Google Scholar · View at Scopus - S. Savin, M. J. F. Digonnet, G. S. Kino, and H. J. Shaw, “Tunable mechanically induced long-period fiber gratings,”
*Optics Letters*, vol. 25, no. 10, pp. 710–712, 2000. View at Scopus - T. S. Lee, N. A. George, P. Sureshkumar, P. Radhakrishnan, C. P. G. Vallabhan, and V. P. N. Nampoori, “Chemical sensing with microbent optical fiber,”
*Optics Letters*, vol. 26, no. 20, pp. 1541–1543, 2001. View at Scopus - J. Y. Cho and K. S. Lee, “A birefringence compensation method for mechanically induced long-period fiber gratings,”
*Optics Communications*, vol. 213, no. 4–6, pp. 281–284, 2002. View at Publisher · View at Google Scholar · View at Scopus - L. Su, K. S. Chiang, and C. Lu, “Microbend-induced mode coupling in a graded-index multimode fiber,”
*Applied Optics*, vol. 44, no. 34, pp. 7394–7402, 2005. View at Publisher · View at Google Scholar · View at Scopus - P. Steinvurzel, E. D. Moore, E. C. Mägi, B. T. Kuhlmey, and B. J. Eggleton, “Long period grating resonances in photonic bandgap fiber,”
*Optics Express*, vol. 14, no. 7, pp. 3007–3014, 2006. View at Publisher · View at Google Scholar · View at Scopus - D. Lee, Y. Jung, Y. S. Jeong et al., “Highly polarization-dependent periodic coupling in mechanically induced long period grating over air-silica fibers,”
*Optics Letters*, vol. 31, no. 3, pp. 296–298, 2006. View at Publisher · View at Google Scholar · View at Scopus - C. Y. Lin, L. A. Wang, and G. W. Chern, “Corrugated long-period fiber gratings as strain, torsion, and bending sensors,”
*Journal of Lightwave Technology*, vol. 19, no. 8, pp. 1159–1168, 2001. View at Publisher · View at Google Scholar · View at Scopus - L. A. Wang, C. Y. Lin, and G. W. Chern, “A torsion sensor made of a corrugated long period fibre grating,”
*Measurement Science and Technology*, vol. 12, no. 7, pp. 793–799, 2001. View at Publisher · View at Google Scholar · View at Scopus - O. V. Ivanov and L. A. Wang, “Wavelength shifts of cladding-mode resonance in corrugated long-period fiber gratings under torsion,”
*Applied Optics*, vol. 42, no. 13, pp. 2264–2272, 2003. View at Scopus - W. Ding and S. R. Andrews, “Modal coupling in surface-corrugated long-period-grating fiber tapers,”
*Optics Letters*, vol. 33, no. 7, pp. 717–719, 2008. View at Publisher · View at Google Scholar · View at Scopus - M. Fujimaki, Y. Ohki, J. L. Brebner, and S. Roorda, “Fabrication of long-period optical fiber gratings by use of ion implantation,”
*Optics Letters*, vol. 25, no. 2, pp. 88–89, 2000. View at Scopus - M. L. von Bibra, A. Roberts, and J. Canning, “Fabrication of long-period fiber gratings by use of focused ion-beam irradiation,”
*Optics Letters*, vol. 26, no. 11, pp. 765–767, 2001. View at Scopus - Y. Kondo, K. Nouchi, T. Mitsuyu, M. Watanabe, P. G. Kazansky, and K. Hirao, “Fabrication of long-period fiber gratings by focused irradiation of infrared femtosecond laser pulses,”
*Optics Letters*, vol. 24, no. 10, pp. 646–648, 1999. View at Scopus - E. Fertein, C. Przygodzki, H. Delbarre, A. Hidayat, M. Douay, and P. Niay, “Refractive-index changes of standard telecommunication fiber through exposure to femtosecond laser pulses at 810 cm,”
*Applied Optics*, vol. 40, no. 21, pp. 3506–3508, 2001. View at Scopus - F. Hindle, E. Fertein, C. Przygodzki et al., “Inscription of long-period gratings in pure silica and germano-silicate fiber cores by femtosecond laser irradiation,”
*IEEE Photonics Technology Letters*, vol. 16, no. 8, pp. 1861–1863, 2004. View at Publisher · View at Google Scholar · View at Scopus - A. I. Kalachev, V. Pureur, and D. N. Nikogosyan, “Investigation of long-period fiber gratings induced by high-intensity femtosecond UV laser pulses,”
*Optics Communications*, vol. 246, no. 1–3, pp. 107–115, 2005. View at Publisher · View at Google Scholar · View at Scopus - A. I. Kalachev, D. N. Nikogosyan, and G. Brambilla, “Long-period fiber grating fabrication by high-intensity femtosecond pulses at 211 nm,”
*Journal of Lightwave Technology*, vol. 23, no. 8, pp. 2568–2578, 2005. View at Publisher · View at Google Scholar · View at Scopus - T. Allsop, M. Dubov, A. Martinez et al., “Bending characteristics of fiber long-period gratings with cladding index modified by femtosecond laser,”
*Journal of Lightwave Technology*, vol. 24, no. 8, pp. 3147–3154, 2006. View at Publisher · View at Google Scholar · View at Scopus - S. Liu, L. Jin, W. Jin, Y. Wang, and D. N. Wang, “Fabrication of long-period gratings by femtosecond laser-induced filling of air-holes in photonic crystal fibers,”
*IEEE Photonics Technology Letters*, vol. 22, no. 22, pp. 1635–1637, 2010. View at Publisher · View at Google Scholar · View at Scopus - C. Lião, Y. Wang, D. N. Wang, and L. Jin, “Femtosecond laser inscribed long-period gratings in all-solid photonic bandgap fibers,”
*IEEE Photonics Technology Letters*, vol. 22, no. 6, pp. 425–427, 2010. View at Publisher · View at Google Scholar · View at Scopus - B. J. O'Regan and D. N. Nikogosyan, “Femtosecond UV long-period fiber grating fabrication with amplitude mask technique,”
*Optics Communications*, vol. 284, no. 24, pp. 5650–5654, 2011. View at Publisher · View at Google Scholar - Y. Zhu, P. Shum, H. W. Bay, X. Chen, C. H. Tan, and C. Lu, “Wide-passband, temperature-insensitive, and compact
*π*-phase-shifted long-period gratings in endlessly single-mode photonic crystal fiber,”*Optics Letters*, vol. 29, no. 22, pp. 2608–2610, 2004. View at Publisher · View at Google Scholar · View at Scopus - S. Oh, K. R. Lee, U. C. Paek, and Y. Chung, “Fabrication of helical long-period fiber gratings by use of a Co 2 laser,”
*Optics Letters*, vol. 29, no. 13, pp. 1464–1466, 2004. View at Publisher · View at Google Scholar · View at Scopus - Y. P. Wang, L. Xiao, D. N. Wang, and W. Jin, “Highly sensitive long-period fiber-grating strain sensor with low temperature sensitivity,”
*Optics Letters*, vol. 31, no. 23, pp. 3414–3416, 2006. View at Publisher · View at Google Scholar · View at Scopus - Y. J. Rao, T. Zhu, and Q. J. Mo, “Highly sensitive fiber-optic torsion sensor based on an ultra-long-period fiber grating,”
*Optics Communications*, vol. 266, no. 1, pp. 187–190, 2006. View at Publisher · View at Google Scholar · View at Scopus - T. Zhu, Y. J. Rao, and J. L. Wang, “Characteristics of novel ultra-long-period fiber gratings fabricated by high-frequency CO
_{2}laser pulses,”*Optics Communications*, vol. 277, no. 1, pp. 84–88, 2007. View at Publisher · View at Google Scholar · View at Scopus - T. Zhu, Y. J. Rao, and J. L. Wang, “Multi-edge-written long-period fibre gratings with low PDL by using high-frequency CO
_{2}Laser Pulses,”*Chinese Physics Letters*, vol. 24, no. 7, pp. 1971–1972, 2007. View at Publisher · View at Google Scholar · View at Scopus - Y. E. Fan, T. Zhu, L. L. Shi, and Y. J. Rao, “Fabrication and characteristics of phase-shifted beat gratings induced by CO
_{2}laser,”*Microwave and Optical Technology Letters*, vol. 53, no. 11, pp. 2526–2530, 2011. - Z. Zhang, W. Shi, K. Gao, and Z. Fang, “Twist characteristics of the ultraviolet-written long-period fiber gratings,”
*Chinese Optics Letters*, vol. 2, no. 10, pp. 565–567, 2004. View at Scopus - D. E. Ceballos-Herrera, I. Torres-Gomez, A. Martinez-Rios, L. Garcia, and J. J. Sanchez-Mondragon, “Torsion sensing characteristics of mechanically induced long-period holey fiber gratings,”
*IEEE Sensors Journal*, vol. 10, no. 7, pp. 1200–1205, 2010. View at Publisher · View at Google Scholar · View at Scopus - Y. P. Wang and Y. J. Rao, “Long period fibre grating torsion sensor measuring twist rate and determining twist direction simultaneously,”
*Electronics Letters*, vol. 40, no. 3, pp. 164–166, 2004. View at Publisher · View at Google Scholar · View at Scopus - P. Caldas, G. Rego, O. V. Ivanov, and J. L. Santos, “Characterization of the response of a dual resonance of an arc-induced long-period grating to various physical parameters,”
*Applied Optics*, vol. 49, no. 16, pp. 2994–2999, 2010. View at Publisher · View at Google Scholar · View at Scopus - T. Zhu, Y. J. Rao, J. L. Wang, and Y. Song, “Strain sensor without temperature compensation based on LPFG with strongly rotary refractive index modulation,”
*Electronics Letters*, vol. 43, no. 21, pp. 1132–1134, 2007. View at Publisher · View at Google Scholar · View at Scopus - M. Jiang, A. P. Zhang, Y. C. Wang, H. Y. Tam, and S. He, “Fabrication of a compact reflective long-period grating sensor with a cladding-mode-selective fiber end-face mirror,”
*Optics Express*, vol. 17, no. 20, pp. 17976–17982, 2009. View at Publisher · View at Google Scholar · View at Scopus - A. Kapoor and E. K. Sharma, “Long period grating refractive-index sensor: optimal design for single wavelength interrogation,”
*Applied Optics*, vol. 48, no. 31, pp. G88–G94, 2009. View at Publisher · View at Google Scholar · View at Scopus - L. L. Shi, T. Zhu, Q. Zhang, and Y. J. Rao, “Remote sensing based on reflective bandpass long period fiber grating and fiber ring laser,” in
*Proceedings of the 22nd International Conference on Optical Fiber Sensors*, Beijing, China, October 2012, No. 20128421-211.