1. Introduction
The measurement and monitoring of humidity and moisture have widespread importance in many industries such as food processing, packaging and storage, agriculture, pharmaceuticals and healthcare, as well as in commercial and domestic sectors where heating, ventilation, air conditioning and refrigeration (HVACR) are important. Relative humidity (RH) is defined as the ratio of the amount of water vapor present in the atmosphere to the maximum amount that the atmosphere can hold at the existing temperature. It is the most widely used parameter to quantify the amount of water vapor in the environment. Optical fiber as a sensing platform for RH has certain advantages over more conventional electronic hygrometers, namely, their small size, immunity to electromagnetic interference and chemical inertness. Fiber sensors are typically more sensitive and offer a broader range of capabilities tailored for different applications (e.g., colorimetric, point or distributed). Fiber interferometers based on polymer-filled microcavities [
1] or using exotic hydrophilic polymer/silica nanoparticle fiber coatings [
2] promise to improve sensor response and sensitivity. Very high RH sensitivities have also been reported for fiber Bragg gratings (FBGs) inscribed in microstructured PMMA polymer fibers [
3]. A thorough review of optical fiber RH sensors that are based on optical absorption, grating structures of both Bragg and long-period, Fabry–Perot interferometers, modal interferometers, lossy mode resonances, etc., is presented in [
4]. This particular work will focus on RH sensors based on fiber Bragg gratings within polyimide (PI)-coated silica fibers.
FBG-based sensors are optical filters that are photoinduced in the core of the optical fiber using high-powered ultraviolet [
5] or infrared femtosecond (fs) pulse duration lasers [
6]. They have been shown to be effective optical fiber sensors for direct measurement of temperature and strain [
5]. In order to measure other parameters, a transduction layer often needs to be applied to the FBG in order to convert the measurand of interest into a variation of temperature or strain that can be detected by the Bragg grating. In the case of humidity measurements, polyimide (PI) fiber optic coatings were demonstrated by Kronenberg et al. to be effective moisture-sensitive transduction layers when applied to the FBG [
7]. The RH detection function is caused by the swelling of the PI layer when exposed to moisture, which induces a strain on the FBG that results in a detectable wavelength shift of the light reflected by the grating. The sensitivity of the devices to RH was dependent on the thickness of the PI coating applied to the FBG. More recently, David et al. were able to enhance the sensitivity of the RH measurement by recoating FBGs that had been chemically etched to reduce their fiber diameters [
8], because the force sensitivity of the optical fiber scales inversely with the square of the fiber diameter [
9]. In these instances, the fabrication of the sensors is labor-intensive as fiber stripping, etching and recoating are required. These processes also reduce the fiber reliability, making the fiber sensors extremely fragile.
It has been demonstrated that FBGs can be directly inscribed through a PI protective coating on silica fibers using infrared femtosecond irradiation and a phase mask [
10,
11,
12] or by the point-by-point method [
13]. The resulting through-the-coating (TTC) gratings proved to have higher mechanical strength since no fiber stripping or recoating was required. Recently, an FBG was written point-by-point through the PI coating and used as an RH sensor to monitor concrete corrosion in wastewater pipes [
14].
In 2020, the femtosecond laser/phase mask approach was optimized to allow for the TTC inscription of FBGs in ultra-thin, 50 μm diameter PI-coated fibers [
15] without fiber photosensitization processes such as deuterium loading, which were previously required in [
12]. Namely, the spherical aberration caused by the mask substrate was balanced with conical diffraction produced by the mask at a specific distance from the mask, and the chromatic aberration of the acylindrical (i.e., free from spherical aberration) focusing lens in the exposure setup was cancelled out by the chromatic dispersion of the mask. This resulted in a significant sharpening of the line-shaped focus and permitted the direct inscription of an FBG through the polyimide coating of non-sensitized 50 μm diameter fibers.
In this work, the optimized exposure techniques presented in [
15] were used to fabricate TTC FBGs in PI-coated 50 and 125 μm diameter optical fibers acquired from Fibercore. By varying the laser pulse energy and number of incident pulses, low scattering loss TTC FBGs, both thermally unstable (Type-I) and thermally stable (Type-II), were created [
16] and then evaluated for their responses to RH using a damp heat environmental chamber. These low-loss gratings are ideally suited for distributed sensing arrays where potentially hundreds of grating elements can be concatenated within a single length of fiber.
2. Materials and Methods
The classical optical setup for the phase mask inscription of FBGs was used [
15]. The source was a Ti-sapphire regenerative amplifier laser system operating at a central wavelength of 800 nm with a Fourier-transform-limited pulse duration of 80 fs (see
Figure 1). The linearly polarized fs-beam was expanded approximately 3.5 times along the optical fiber axis and focused through a zeroth-order-nulled holographic phase mask (M) (Ibsen Photonics) with a 1.07 μm pitch using a plano-convex acylindrical lens (CL) with a focal length of 15 mm. The length of the line-focused beam along the x-axis was defined by the aperture (A) of the CL’s holder as 15 mm. The linear polarization of the fs-beam was parallel to the mask grooves as the phase mask was optimized to maximize the zero-order suppression for this polarization. The front surfaces of the polyimide-coated fibers from Fibercore were placed along the line-shaped focus and aligned parallel to the CL. Each fiber was placed at a distance
d ≈ 300 μm away from the phase mask (see
Figure 1), where the confocal parameter of the fs-laser focus was the smallest, and thus the peak intensity in the focus was the highest [
15]. The position of the focus in the fiber core was aligned by utilizing the techniques of nonlinear photoluminescence microscopy and dark-field microscopy [
17].
Using this approach, TTC FBGs could be written in both the room temperature stable Type-I regime or the high-temperature stable Type-II regime, depending on the exposure conditions [
16]. The specifications of the Ge-doped fibers used and the exposure parameters for the Type-I or Type-II modifications are given in
Table 1. The fiber coating thicknesses were measured by comparison of coated and stripped fiber diameters using an optical microscope.
For the 125 μm fiber with a 7.8 µm core diameter and Type-I modification, the acylindrical lens was translated perpendicular to the fiber axis using a piezo-actuated stage in order to scan the beam across the fiber core in a single 20 µm vertical sweep with a duration of 30 s. In all other cases (i.e., Type-I Bragg gratings in the 50 μm diameter fiber and Type-II Bragg gratings in the 50 and 125 μm diameter fibers), the beam focus was centralized within the fiber cores without scanning. The bend-insensitive 50 μm diameter fiber has a smaller core size of 4.2 μm that corresponds to a higher Ge content, making the fibers more photosensitive to femtosecond pulse duration infrared radiation [
10]. The pulse energies displayed in
Table 1 were measured in front of the phase mask. The fabricated devices were inspected with an optical microscope to determine if there were any visible modifications to the coating surface. None were observed. A total of 12 devices were fabricated: 1 Type-I and 5 Type-II in the PI-coated 125 µm diameter fiber and 4 Type-I and 2 Type-II in the PI-coated 50 µm diameter fiber.
The devices were then tested for their sensitivity to RH using a temperature/humidity test chamber Model MCB(H)-1.2-.33-H/AC from Cincinnati Sub-Zero. The fibers were placed loosely within the chamber with no applied strain. RH levels were varied from 20 to 90%RH at a constant temperature of 40 °C and from 10 to 90%RH at a constant temperature of 60 °C in steps of 10% RH. In both cases, the chamber was programmed to change the RH gradually over 15 min and then to maintain the RH at a stable level for 30 min. RH levels were verified using internal sensors to the unit as well as an Omega HH314A Humidity Temperature meter, which possessed a 0.1%RH resolution and accuracy ± 2.5% RH. The spectral responses from the FBG sensors were monitored using a Micron Optics (Luna) Hyperion FBG interrogator.
3. Results
Examples of the transmission and reflection spectra of FBGs written in each of the Fibercore fibers are given in
Figure 2. In
Figure 2a,b, the transmission and reflection spectra of Type-I TTC gratings fabricated in the 125 μm and 50 μm diameter fibers are denoted by the green and blue traces, respectively. The holographic phase mask with a 1.07 µm pitch typically produces a nominal Bragg resonance wavelength of 1550 nm in standard telecommunication fibers such as SMF-28. In the case of the 125 µm diameter Fibercore fiber, the Bragg resonance wavelength was approximately 1551.4 nm. When written with the same phase mask, the Bragg wavelength of the gratings written in the 50 µm diameter fiber was longer than the Bragg wavelength of the gratings in the 125 μm diameter fiber. Indeed, the core diameter reduction is achieved by increasing the Ge doping levels of the fiber core, which, in turn, increases its effective index and hence creates a Bragg resonance at a longer wavelength for a given grating pitch. The higher Ge doping level associated with core reduction also increases the photosensitivity of the fiber to ultrafast infrared radiation [
10].
Figure 2c,d display the transmission and reflection spectra, respectively, of the Type-II TTC FBGs fabricated in the 125 μm and 50 μm diameter fibers, also denoted by the green and blue traces, respectively. It is interesting to note that the appearance of shorter wavelength cladding modes in the transmission spectra, often associated with Type-II ultrafast infrared laser-induced grating writing, are increasingly separated in wavelength from the Bragg resonance as the fiber core size is reduced. This is consistent with what has been observed for FBGs written in high numerical aperture fibers [
18].
Both the Type-I and Type-II FBGs fabricated in each of the fiber types were then tested for their responses to changes in RH. The spectral responses of the devices were monitored in reflection using the Hyperion interrogator, which reports a wavelength accuracy of the measurement of 1 pm. As an example,
Figure 3 shows the wavelength variation of Type-I TTC FBGs written in the 50 μm diameter fiber and the 125 μm diameter fiber. For comparison, the RH levels as measured by the external Omega meter are also included.
Figure 3 shows that below 70% RH, the humidity within the chamber at a given ‘fixed’ humidity level appears to be noisy with a variation of ± 2.5%RH. A closer examination of the ramp-up to 50%RH shows this oscillation (see
Figure 4). There is a direct correlation between the wavelength shift by the FBG RH sensors and the humidity measurement from the Omega HH314A humidity meter, even on the expanded time scales shown in
Figure 4. According to the manufacturer, the response time of the meter is 75 s in slowly moving air. The staircase response of the wavelength shifts of the FBGs is due to the resolution of the FBG interrogator. Because of the reduced thickness of both the coating and the fiber diameter, the 50 µm fiber RH is able to better track variations in RH with time as compared to the sensor fabricated in the 125 µm diameter fiber.
By re-expressing the kind of data presented in
Figure 3, where the wavelength shift for a given constant RH is averaged over 10 min, the variations in wavelength shift versus RH as a function of fiber type and refractive index change type (i.e., Type-I or Type-II) can be obtained. When measured at room temperature, the RH within the humidity chamber was not stable. The wavelength-shift measurements as a function of RH were performed at constant temperatures of 40 °C and 60 °C, as the maximum temperature for the Omega RH meter was limited to 60 °C. An example sensitivity plot of the wavelength shift versus RH of four Type-II devices, two in 50 µm and two in 125 µm diameter fibers, taken at 60 °C is presented in
Figure 5. In this instance, the humidity ramp-up and ramp-down were included in the generation of the linear regression trace for each device. As some hysteresis is observable in both
Figure 3 and
Figure 5, an explicit evaluation of the device hysteresis is presented in
Figure 6, where the linear regression traces of data taken during humidity ramp-up and ramp-down are calculated separately. The devices that displayed the largest hysteresis were selected. From the figure, it can be seen that the total hysteresis for the 50 µm and 125 µm diameter devices is denoted by a 13 pm wavelength shift difference when the humidity returns to 10%RH. There was also a slight increase in the device sensitivity on the ramp-down, as denoted by the increase in the linear regression slope.
Figure 7 presents the wavelength shift versus humidity at 60 °C for four 50 µm diameter devices, two written in the Type-I regime and two in the Type-II regime. It can be seen that there is little difference in the response to RH between the Type-I and Type-II devices. There is also little hysteresis in the response of the devices to the ramp-up and ramp-down of the RH. The sensitivity of the devices to RH is defined by the slope of the linear regression of wavelength-versus-RH traces and is presented in
Table 2a,b presents the average of the sensitivity values for all devices made with 50 µm diameter fiber (both Type-I and Type-II) and 125 µm diameter fiber at either 40 or 60 °C. The quoted error is the standard deviation of the sensitivity values.
Measurements on the Type-II devices in 50 µm diameter fiber were repeated on four different occasions at 60 °C, resulting in an average sensitivity of 2.7 ± 0.1 pm/%RH. The resulting sensitivity and error values of the repeated measurements were consistent with the overall average measurement value and error presented in
Table 2b. Hysteresis of the devices improved after the fourth cycle from the worst-case wavelength difference of 13 pm shown in
Figure 6 to 6 pm or ~2.5% RH, i.e., within error of the reference Omega RH probe.
4. Discussion
The response to RH of the TTC Bragg gratings in the PI-coated 125 µm diameter fiber from Fibercore listed in
Table 2b is consistent with other standard PI-coated FBGs in the literature, where, for example, PI-coated FBGs from Fiberlogix and Avensys (with PI thicknesses of 14 µm and 18 µm, respectively) had wavelength sensitivities to RH of 1.3 and 1.5 pm/%RH, respectively [
14,
19]. Similarly, the response of the TTC Bragg gratings in the 50 µm diameter fiber is comparable to that observed for FBG RH sensors in tapered fibers. In that case, the FBGs were written in a 125 µm fiber, after which the fiber was etched to a 54 µm diameter and then coated with 20 µm of PI. The reported sensitivity of the FBG RH sensors in tapered fibers was 3.2 pm/%RH [
19]. A comparison of the results from this work with some of those found in the literature is given in
Table 3.
The important result to note in this work is that the sensors were produced by processing fibers as received from the manufacturer. Inscription of TTC gratings in PI-coated 125, 80 and 50 µm fibers using femtosecond lasers and a phase mask was reported by Habel et al. [
12]. In that work, only Type-I FBGs were created in the PI-coated 50 µm fiber and only after the fiber had undergone the deuterium-loading fiber photosensitization process [
20]. In our case, no fiber processing such as fiber photosensitization, cryogenic storage, stripping, etching, recoating or annealing was required to produce Type-I or Type-II gratings in the 50 µm diameter fiber in order to make effective RH sensors. The higher intensity irradiation required for Type-II grating formation could potentially damage the coating, causing delamination that would affect the sensitivity or performance of the device. No noticeable modification of the PI coating was observed for the FBG sensors written in either the Type-I or Type-II regimes. From
Figure 7, it is clear that very similar sensitivities to RH were observed for both Type-I and Type-II sensors in the same fiber. Type-II sensors would be appropriate for measurement of moisture content in flue or exhaust gases at temperatures up to 300 °C, the rated maximum temperature for PI.
TTC inscription of FBGs lends itself to automation of the fabrication of distributed sensing arrays because extremely low scattering loss gratings can be produced in both Type-I and Type-II regimes using the phase mask method [
21]. While Type-II devices do exhibit cladding-mode coupling that is potentially quite high if the gratings have high reflectivity (5 dB in the case of
Figure 2c), if interrogated correctly, the lowest wavelength device first, array spacing and intensity loss can be minimized. Type-I devices do not suffer from this constraint because they have very little cladding-mode coupling. As these gratings have extremely low scattering loss, even Type-II, many can be concatenated together. To demonstrate this principle, 160 low-reflectivity Type-II gratings were inscribed through the PI coating of 125 µm telecom fibers using a phase mask array with discrete mask elements to produce sensor elements resonant in the telecommunication S-, C- and L-bands. See
Figure 8. These devices were not tested for their response to humidity at the time of publication.
With proper interrogation, either using wide bandwidth FBG interrogator sources or an interrogator that combines wavelength division multiplexing and time division multiplexing (WDM/TDM) in its measurement methodology, effective distributed RH sensing systems could be created. Such a distributed sensor system is of interest to the oil and gas sector, where monitoring of RH and water vapor condensation is important for corrosion detection. With its potential low cost per unit length, simple preparation, easy operation and good sensitivity, a distributed RH sensor system based on TTC FBGs would be a good candidate for a distributed corrosion sensing system for natural gas transmission pipelines [
22].