Review of Turn around Point Long Period Fiber Gratings

Long period fiber gratings are emerging as a potential candidate in the list of surrounding refractive index optical fiber sensors. Their sensitivity can be enhanced greatly if the grating period, fiber dimensions and surrounding refractive index are optimized in a way to operate at a point called turn around point on phase matching curves of these gratings. Turn around point LPFGs are well known for their ultrahigh sensitivity to external parameters. Potential of operating LPFG at or near turn around point has been investigated by many researchers in various applications including physical parameter sensing, adulteration detection, radiation dose, etc. Since TAP LPFGs are in investigation phase therefore a lot of rigorous & efficient work in finding techniques for optimizing their potential as sensor in chemical, biochemical, structural health monitoring is still to be carried out. A brief review of work carried out in this domain till now is presented here and key findings from literature review are highlighted.

• LPFG (Long Period Fiber Grating)
• TAP (Turn around Point)
• SRI (Surrounding Refractive Index)
• LP (Linearly Polarized)

1. Introduction

Long period fiber gratings are passive optical fiber sensors emerged in recent years. There are mainly two types of Index (refractive index) gratings in fiber optics: FBG (Fiber Bragg Gratings) & LPFG (Long Period Fiber Gratings). Structurally, both types of gratings are identical except that the periods of Fiber Bragg gratings are two orders of magnitude smaller than those of LPGs. FBGs induce contra directional coupling. Light energy from forward propagating modes is transferred to modes traveling in the opposite direction. FBGs are often referred to as short period, reflection gratings because of this effect. LPFGs, on the other hand, couple energy co-directionally. Energy from the forward propagating incident modes is transferred to either forward propagating cladding or radiation modes depending on the structure of the waveguide [1] -[6] .

Fiber Bragg gratings have already proved their excellence in physical parameter sensing, e.g. temperature, strain, torsion, bend, etc. and in many practical applications including structural health monitoring which is required for existing smart world era [7] . LPFGs are known to have high refractive index sensitivity in comparison to its counterpart Fiber Bragg Gratings. The evanescent field of coupled mode that extends more into the surroundings in LPFGs enables it to be used as a significant surrounding refractive index sensor.

Sensitivity of these gratings greatly depends upon the choice of grating period. Dispersion curves drawn between resonance wavelength (λ_res) and grating period (Λ) for higher order cladding modes indicate the presence of turn around point where the slope of the curve changes sign from positive to negative. LPFGs fabricated at

these turn around points appear to be ultrahigh sensitive as the slope of the dispersion curve is infinite.

For lower order modes these turn around points occur at higher wavelengths outside the optical communication window. The possibility of interaction of evanescent field with surroundings improves with increase in order of the cladding mode being coupled to the fundamental mode due to larger coupling coefficients [8] .

In this paper, systematic review of the LPFGs operating at turn around point is presented. Section 2 highlights the presence and significance of turn around points that exist on the characteristic curves of cladding modes. Fabrication techniques, methods used for tuning of turn around point have also been discussed in this section. Reported applications of TAP LPFGs have been summarized in Section 3. Section 4 provides an overview of thin film coated LPFGs and recently reported applications of thin film coated LPFGs operating at turn around points. The paper is concluded in Section 5.

2. Ultrahigh Sensitive TAP LPFGs

Periodic modulation of refractive index in optical fiber causes coupling of fundamental core mode with either co-propagating or counter propagating cladding modes. Coupling of co-propagating fundamental guided mode LP₀₁ and cladding modes represented by LP_0m takes place in long period gratings according to the phase matching condition, which results in series of attenuated resonance peaks in transmission spectrum. The phase matching condition is given by

where β₀₁ is propagation constant of the fundamental mode, β_cl.m is propagation constant of m^th cladding mode and Λ is period of grating. Long period fiber grating sensor configuration shown in Figure 1 represents the presence of evanescent field of coupled modes that can interact with surroundings.

Mathematical expressions derived in [8] for calculating shift in resonance wavelength with respect to change in surrounding refractive index is given by

where λ_res is resonance wavelength, n_surr is surrounding refractive index, γ is general waveguide dispersion and Γ_res represents surrounding refractive index dependence on waveguide dispersion respectively. Slopes of the phase matching curves drawn for B/Ge co-doped fiber, with cladding modes of order m = 8 to 20 change their sign from positive to negative at points called turn around points as indicated in Figure 2. These points offer ultrahigh sensitivity because a change in wavelength corresponding to change in grating period is infinite. Grating period may change due to change in effective refractive indices of modes which also depends on surrounding refractive index. Therefore any small change in surrounding refractive index may cause significant shift in resonance wavelength. If Λ is short, the phase matching curves corresponding to coupling between core and higher order cladding modes are parabolas over the wavelength range of 800 - 2000 nm [8] -[11] .

Phase matching curves plotted between grating period and wavelength are essential in analysis of long period fiber gratings. Existence of turnaround point in the phase matching curves was revealed for first time in [8] . Coupling to higher order cladding modes increases sensitivity to surrounding refractive index because of extension of evanescent field in surrounding with increase in cladding mode order. Moreover coupling strength of

Figure 1

Long period fiber grating refractive index sensor

Figure 2

Phase matching curves (a) Modes m = 1 to m = 10 (b) Modes m = 11 to m = 20 [ 8 ] .

(b)

fundamental mode and odd order cladding modes is better as compared to that with even order cladding modes. This is because odd order cladding modes have a peak of intensity that lies in the core. Transmission spectra of Long period fiber gratings designed to operate at TAP indicate that any change in SRI causes change in peak attenuation at resonant wavelength which opens the possibility of simple & easy amplitude based demodulation technique. Further, if the SRI is more than refractive index of air i.e. if LPFG is immersed in a liquid, there are two resonant wavelengths in transmission spectrum and change in SRI causes shift in these two resonant wavelengths & therefore wavelength based demodulation can be used at the expense of decrease in sensitivity.

LPFG with grating period 205 µm, in which coupling of LP_0,11 mode with fundamental LP₀₁ takes place exactly at turn around point, is reported in [12] . Designed grating is used for fuel adulteration detection. Single attenuation peak splits into two when grating is immersed in petrol having refractive index greater than 1.0 which is in line with [8] . Reducing cladding diameter of LPFG operated near TAP greatly enhances the sensitivity [13] . LPFG with a grating period of 165 µm in SMF-28e fabricated which results in coupling of fundamental mode with LP_0,12 cladding mode. Figure 3 depicts transmission spectra of LPFG with SRI 1.0 and 1.333, after reducing the cladding diameter to different values [14] . It may be observed that transmission depth decreases with the increase in reduction of the cladding diameter and single attenuation peak splits into two when SRI is more than 1.

Grating period of less than 250 µm is required to enable coupling to higher order cladding modes. Therefore sophisticated techniques with high precision are required for fabrication of fiber gratings at turnaround points. CO₂ laser scanning [12] [15] - [19] , KrF excimer Laser [8] [14] [20] - [23] & Femtosecond laser [24] - [26] fabrication techniques have been used for fabrication of turn around or near turn around point long period fiber grating fabrication in different types of fibers. Recently TAP LPFG has been fabricated using KrF excimer laser in [9] . Gratings fabricated by CO₂ scanning are thermally stable & require no post processing technique in long period

Figure 3

(a) Transmission Spectra of cladding ethed LPFG in air (b) Transmission Spectra of cladding ethed LPFG in water (Plot 1: TAP 20 dB, Plot 2: TAP 7 dB, Plot 3: TAP 3 dB, Plot 4: TAP 2 dB) [ 14 ] .

(b)

gratings. Operating LPFG exactly at TAP requires high precision in fabrication, a slight change in effective refractive indices of modes cause turn around point to shift. Exposure to UV [27] , Gamma radiation [16] , taper tuning [16] , etching of cladding [14] , overlay coating [28] is reported for tuning of long period grating at turn around point. Investigation of transmission spectra of LPFG is also carried out in photonic crystal fibers [25] [26] apart from standard single mode & photosensitive fibers.

3. Refractometric Sensors based on TAP LPFG

Propagation characteristics of modes in optical fiber with long period fiber gratings are strong function of the refractive index of surrounding medium. These refractometric sensors have attracted attention in the field of food quality control, structural health monitoring and biomedical applications recently.

Performance of Turnaround point LPFGs have been investigated in a variety of applications including temperature, strain & refractive index sensitivity. Errors in refractive index sensing may result due to temperature variations that needs to be considered. Temperature compensated TAP LPFG have also been reported in [23] .

Fuel adulteration detection results using non TAP LPFG [20] & TAP LPFG [12] have been presented to depict the ultrahigh sensitivity of TAP LPFGs. Transmission spectra shown in Figure 4 & Figure 5 indicate that sensitivity of non TAP LPFG is 0.6 nm/% & that of TAP LPFG is 0.949 nm per percentage change in concentration of kerosene in petrol from 0 to 10%. Slight improvement in sensitivity is obtained by reducing cladding diameter as indicated in Figure 4(b).

Ultra high sensitivity of turn around point long period gratings can be used for improving the adulteration detection of the edible food products like oils, milk. Appreciably high sensitivity of turnaround point long period gratings in different applications have been summarized in Table 1.

4. Thin Film Coated TAP LPFGs

Sensitivity of long period gratings can be improved by coating thin films of nm thickness and having refractive index greater than that of silica. Figure 6 shows four layer model used for analysis of thin film coated LPFGs with core, cladding, overlay and surroundings as each layer of the structure having refractive indices n₁, n₂, n₃ and n₄ respectively. Long period gratings offer appreciable shift in wavelength towards longer wavelengths when the SRI is less than that of the cladding & is attributed to total internal reflection.

When SRI is more than that of cladding, shift is towards shorter wavelengths and is quite small to be considered for demodulation. The reduced sensitivity of LPFG when SRI is greater than cladding is attributed to weak Fresnel’s reflections. This can be enhanced by nm thick layers of thin films of high refractive index materials, e.g. tricosenoic acid, titanium dioxide, PDDA polymer, etc. [29] - [34] .

Coating of thin film material on long period fiber grating increases effective refractive indices of the cladding modes. After certain thickness of the film, cladding modes become guided in the overlay hence evanescent field

Figure 4

(a) Transmission Spectra of LPFG with different Kerosene in petrol (b) Transmission Spectra of ethed LPFG with different percentage of Kerosene in petrol [ 20 ] .

(b)Figure 5

(a) Transmission Spectra of TAP LPFG with different percentage of Kerosene in petrol A1: 10%, A2: 50 % (b) Shift in TAP LPFG resonance peak as a function of Kerosene in petrol [ 12 ] .

(b)Table 1

Reported TAP LPFGs for various applications

Type of Fiber	Grating Period	TAP/Near TAP	Cladding Mode	Detection Range	Application	Sensitivity
B/Ge co-doped SMF	208	TAP	LP0,11	1.397 - 1.432	Fuel Adulteration	0.949 nm/% change in Kerosene in Petrol
SMF-28e	165	TAP	LP0,12	1.335 - 1.360	SRI Sensitivity	1847 nm/RIU
B/Ge codoped SMF	206	Near TAP	LP0,11	6 - 65 KGy	Gamma radiation dose	80 nm for 65 KGy & 35 nm for 6 KGy
SMF-28	230.89	TAP	Not Specified	1.333 - 1.353	Tempaerature, Strain & SRI Sensitvity	1.63 nm/˚C, 37 pm/µƐ & 2500 nm/RIU
B/Ge co-doped SMF	180	TAP	LP0,12	325 - 1300 µƐ	Strain	1.77 dB/µƐ
B/Ge codoped SMF	206	Near TAP	LP0,11	0 - 1300 µƐ	Strain	1.33 dB/µƐ

of guided modes having significant energy is available near the surrounding for interaction. The reorganization of modes depends on overlay material thickness & refractive index and also on surrounding refractive index. The transition of modes occurs faster for higher refractive index overlays [34] - [36] . Transmission spectra of thin films of various refractive indices & thickness on LPFG are analyzed in [30] .

Temperature compensated chemical sensor using silica nano particles as overlay is reported in [37] . Coating is done on a pair of cascaded turnaround point long period fiber gratings. Detection of very low concentration Escherichia coli bacteria with ultra high sensitivity of 2321 nm/RIU is reported in [38] . In [39] Al₂O₃ is used as nano film material and transition region found to be in range 1.4524 - 1.461 with 3000 nm/RIU for 100 nm thickness of overlay which might not be possible with uncoated LPFG as shown in Figure 7(a). With further increase in thickness, transition region shifts to lower refractive index range. Long period gratings operating at TAP and coated with thin films of high refractive index materials have been reported in [34] [37] - [42] for chemical/biochemical sensing applications.

TAP LPFG coated with (PDDA/SiO₂)₁₀ film has been investigated for sensitivity to Ammonia in water. Transmission spectra with different concentrations of Ammonia indicated in Figure 7(b). The minimum detection level is found to be 0.14 ppm & response time of sensor is approximately 100 seconds [34] . Filtering characteristics of single and multiple, π phase shifted, thin film coated turn around point LPFGs have been simulated and analyzed in [43] . Parameters obtained need to be optimized for a particular application.

Figure 6

Four layer geometry for thin film coated LPFGs

Figure 7

Response of resonance wavelength for different Al 2 O 3 nano film thickness [ 39 ] (b) Transmission spectra of thin film coated PMTP LPFG for different Ammonia Concentration in water [ 34 ] .

(b)

5. Conclusion

SRI sensitivity improvement of TAP LPFGs can be observed in terms of significant wavelength shift & amplitude variations of the attenuation bands enabling use of wavelength and amplitude based on demodulation techniques respectively. Most of the SRI sensors based on long period operating at turn around points have been investigated in applications where the SRI is less than that of cladding. To operate these gratings as sensors in applications with SRI greater than that of cladding, coating of high refractive index materials can be done, which causes reorganization of the cladding modes and enhances the possibility of surrounding region to interact with evanescent field of cladding modes. Efficient optimization techniques for overlay material thickness and its refractive index for tuning the transition region in desired refractive index range are required to utilize LPFG in commercial applications. Further variation in physical parameters may result in false readings so some compensation techniques for these parameters are also required to be analyzed and implemented carefully. Performance of TAP LPFGs, thin film coated TAP LPFGs and a combination of these can be investigated in medical diagnostics, food quality control and biochemical hazard detection.

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