# A Multipoint Liquid Level Sensor Based on Two Twisted Polymer Optical Fibers in a Race-Track Helical Structure

Authors: Yingzi Zhang; Yulong Hou; Yanjun Zhang; Liang Zhang; Yanjun Hu; Xiaolong Gao; Huixin Zhang; Wenyi Liu
Journal: Journal of Sensors
 (2018)

---

## Abstract

A multipoint liquid level sensor based on the RI modulation of macrobend polymer optical fiber (POF) couplers is proposed. By twinning two twisted POFs around a race-track column, a series of U-shaped sensing heads are achieved. The output power in the passive fiber declines in a step form while the sensing heads are immersed into liquid in turn. The introduction of UV optical cement in the gap between two POFs improves the side-coupling ratio, increasing the attenuation per step. For the measurement range of 100 cm, the resolution is 2 cm. The sensor can differentiate different liquids with low temperature dependence.


---

## Body

## 1. Introduction

Nowadays, the liquid level measurement has attracted great interests because of the high demand in the applications of flood early warning [1, 2], fuel supply system [3, 4], structural monitoring [5], and so on. In the fields where the liquid level monitoring of several specific points is needed or liquids of different refractive index (RI) are required to be differentiated, many discrete or multipoint liquid level sensors are proposed [6–10]. Compared to their electronic counterparts, optical fiber sensors show good potential in explosive environment due to their nonconductive measurements and electromagnetic immunity [11], broadening the application area.POFs offer advantages of low cost, easy handling, lightweight, large numerical aperture, and so on in comparison with the glass optical fibers (GOFs) [12, 13]. Most multipoint liquid level sensors are intensity based and achieved by the POFs in different structures. Lin et al. aligned a group of POF segments coaxially, and the coupling power is affected by the refractive index (RI) of medium between two adjacent fiber segments [14]. The measurement range is 250 cm, but the resolution is 25 cm. Mesquita et al. utilized a vertical POF with grooves spaced at every 20 cm and realized the liquid level measurement of 200 cm [5]. Jing et al. twined a POF around a race-track column, and the macrobend losses change with the liquid level [15]. The resolution is satisfactory, but the measurement range is just 5 cm. To improve the sensitivity, a POF is not only bended but also laterally polished [16]. However, the resolution is 34 cm and the fabrication process is complicated compared with the sensors mentioned above.In our previous work, we proposed a low-cost liquid level sensor based on two twisted POFs twinning around a race-track column [17]. The side-coupling power is modulated by the RI of the surrounding medium. When the liquid level increases, the side-coupling power decreases fast in the bent section and slow in the straight section, forming a step attenuation. The resolution is determined by the screw pitch and represents the height of a bent and a straight section. When the measurement range is 100 cm, the resolution is 2 cm, and the sensitivities for water are 5.01 nW/mm in the bent section and 1.99 nW/mm in the straight section. Thus, when a bent section and a straight section are submerged into liquid, the whole variation of output power is 45.84 nW. The signal intensity is so weak that increases the detection cost.In this paper, a cost-effective approach increasing the signal intensity of the multipoint liquid level sensor is proposed. To improve the side-coupling ratio, the UV optical cement is injected into the gap between two POFs that are twisted and twined around a column, of which the cross section is a race-track form. With the liquid level rising, the output power of the passive fiber declines with a step in the bent section and remains unchanged in the straight section. The measurement range is 100 cm, and the resolution is 2 cm. For a single sensing head consisting of a bent section and a straight section, the whole attenuation of the output power for water is 112.36 nW, which is higher than the one of the sensor proposed in [17].


## 2. Principle

As shown in Figure1, two naked POFs are twisted and bent in the shape of a U, and the UV optical cement is filled into the gap between the two POFs. The diameters of the core and cladding are 980 and 1000 μm, respectively. For multimode POFs, if the curvature radius is large enough, the ray theory can be applied to replace the modal theory, in which the light will be treated as rays possessing a certain amount of power. When the light ray propagates into the macrobend section of POFs, the total internal reflection is frustrated, and the ray is refracted on the core-cladding interface if the incident angle becomes smaller than the critical angle. The critical angle is defined as θcocl=arcsinncl/nco where nco=1.492 and ncl=1.417 are the RI of the core and the cladding, respectively. The smaller the curvature radius is, the more rays are refracted. Some refracted rays in the cladding are refracted again on the cladding-environment interface, of which the incident angle is smaller than θclen=arcsinnen/ncl. nen is the RI of the surrounding medium. It can be deduced that an increase of rays refracted into environment can be achieved by increasing nen and these refracted lights are called macrobend losses of the fiber. As a result, when the surrounding medium changes from air to liquid, the macrobend losses increase by a large margin and the light power inside the POF decreases accordingly.Figure 1
A macrobend coupler of two joined POFs.For intensity-based sensors, the signal-to-noise ratio (SNR) is an important factor that must be considered. Additional elements are always applied to eliminate the influence of the undesired signal, increasing the complexity of detection. Hence, a macrobend coupler based on POFs is introduced [18]. The active fiber is connected to the light source, of which the macrobend losses are coupled partly to the passive fiber and called the side-coupling power. The side-coupling ratio is very small because the energy of the light source is mainly concentrated in the core of the active fiber. Thus, by measuring the side-coupling power, the influence of the light source perturbation on the passive fiber can be neglected and the SNR is improved [17]. However, the side-coupling ratio is so small that a power meter with a high resolution is required. In this paper, we fill the gap between the two POFs with UV optical cement (n=1.418), which means the RI of the surrounding medium between the two POFs changes from 1.0 (the RI of air) to 1.418. Therefore, the macrobend losses from the active fiber are increased, and more side-coupling power are coupled into the passive fiber, improving the side-coupling ratio.If the coupler is immersed into water, the RI increases from 1.0 to 1.333 and more side-coupling power in the passive fiber will be transmitted into the environment medium. The higher the RI of the tested liquid is, the more side-coupling power are radiated. Therefore, a macrobend POF coupler is sensitive to the RI of the surrounding medium and can distinguish liquids of different RI.


## 3. Experimental Setup and Results

To realize the multipoint liquid level measurement, two twisted POFs (SK40, Mitsubishi) are twined around a race-track column with a screw pitch of 4 cm, forming fifty U-shaped bends acting as sensing head. Thus, the resolution of the sensor which means the distance between two measuring points is 2 cm. The curvature radius of the macrobend section is 1 cm, and the length of the straight section is 2 cm. Then, the UV optical cement (3311, Loctite) is filled into the gap in the macrobend section and cured by the UV curing lamp. Finally, the column is fixed into a container, in which the first sensing head is at the bottom. When the surrounding medium around the sensing head changes from air to liquid, the macrobend losses of the passive fiber increases, reducing the side-coupling power in it. Therefore, with the liquid level ascending, the output power declines step by step related to the number of immersed sensing heads.The experimental setup of the proposed sensor is depicted in Figure2. A fiber-coupled LED (M660F1, Thorlabs) with the center wavelength of 660 nm is utilized as the light source, the output power of which is 30 mW. The optical power meter (PM100USB, Thorlabs) with the resolution of 0.1 nW is adopted to record the output power of the passive fiber under different liquid levels. To improve the signal-to-noise ratio, the insensitive part of the sensor is shielded by the black jacket, and all the experiments are conducted in the dark room.Figure 2
(a) Setup and (b) photograph of the multipoint liquid level sensor.
(a)
(b)Figure3 illustrates output power of the passive fiber when the liquid level changes from 0 to 100 cm. The RI sensing capability of the sensor is evaluated by applying liquids with different RI. Water and 9.1% NaCl solution are adopted as the tested liquid. The output signal shows an obvious decrease when a sensing head is submerged by the liquid. For a sensing head, as the input power of the active fiber is approximately 30 mW, and the output power of the passive one is only a few hundred nanowatt, the attenuation of the active fiber is very small. Since the geometrical structures of these sensing heads are basically the same, the macrobend losses of the active fiber for each sensing head are almost equal. Thus, the decrease in output power for each head is almost the same, forming a step-down output curve with the liquid level rising. For water, the decrease in output power of each sensing head is approximately 112.36 nW, which is 2.45 times more than the one of the sensor without the cement in the [17]. From Figure 3, it is obvious that the variation for liquids of different RI is different. When the RI changes from 1.333 to 1.348, there is an 8.7% increase in output power per head from 112.36 to 122.18 nW, which makes a sensitivity of 0.5%/RIU. As expected, the tested liquid of higher RI results in a greater change of macrobend losses. At the same time, the output power declines at every point where the sensing head exists no matter what liquid is tested. Therefore, the sensor can distinguish liquids of different RI and the particular liquid levels can be detected independently of the tested liquid.Figure 3
Liquid level response to water and NaCl solution.Temperature dependence of the proposed sensor is investigated, and the result is depicted in Figure4. In the experiment, the race-track column twined by two twisted POFs was fixed in a container and the liquid level was set to 50 mm. Then, the container was placed on a heater. When the temperature of water rises from 20 to 60°C, the output power of the passive fiber changes from 5.567487 to 5.741197 μW, resulting in an overall change of 173.71 nW. Compared to the output variation for the change of the liquid level, the influence of temperature is small. Since the temperature also affect the active fiber, we can connect a power meter to the free end of the active fiber to compensate the influence of temperature.Figure 4
Temperature dependence of the proposed sensor.


## 4. Conclusion

In summary, two twisted POFs are twined around a race-track column to achieve the multipoint liquid level measurement. The side-coupling ratio between two POFs is improved by filling UV optical cement into the gap. The macrobend losses are modulated by the RI of the environment medium, and the output power decreases with the liquid level arising. The decrease in a step form occurs every time the sensing head is submerged, and the variation is affected by the RI of the tested liquid. The sensor turns out to be a good design of low cost, simple fabrication process, and low temperature dependence.



---

*Source: 4914382-2018-06-04.xml*