The outcome of the simulation is shown in two different formats. At the beginning, a coloured representation of the electrical field intensity through the sensor structure aids by visualising optical properties including light propagation, electric field distribution, light intensity, and evanescent wave. This is followed by a graph plotted to analyse the simulated device’s mode field diameter (MFD) and effective RI value.
The single mode profile is shown in Fig. 2. Here, the coloured visualisation of the electric field distribution through the planar waveguide sensor at various cladding thicknesses ranging from 0 to 5 µm when subjected to the analyte RI of 1.480 is presented. The maximum and minimum electric field intensities are represented by the colours red and blue, respectively. The electric field in the sensor structure for all three cladding thicknesses is concentrated at the centre and is almost evenly distributed, indicating that the light is strongly constrained in the core. Nonetheless, it can be observed that the electric field is slightly shifted away from the analyte when the cladding thickness is reduced due to the lower RI contrast between core/cladding compared to the core/analyte boundary. In every scenario, the colour changed from red to blue, demonstrating how the electric field gradually diminishes as it approaches the core/cladding and core/analyte boundaries due to the attenuation of light energy as it approaches the boundary of distinct RI mediums.
Figure 3 shows the MFD at a selective RI of 1.480 for three different cladding thickness, which can be used to analyse the electric field distribution of the planar waveguide sensor. Reducing the cladding thickness from 5 to 0 µm results in a significant change in MFD. The evanescent wave’s penetration at the boundary between the core and the analyte diminishes as the cladding thickness is reduced. The lowest penetration depth is at 0 µm cladding thickness, with an estimated depth of 2 µm, and the highest penetration depth is at 5 µm cladding thickness, with an estimated depth of 4 µm. It is important to note that the penetration depth depends on the RI difference between the core, cladding and the analyte medium. For example, the higher RI difference between core and analyte compared to core and cladding leads to lower penetration. Even though penetration depth at 0 µm cladding thickness is the lowest since the RI difference is higher, it is the most sensitive because the evanescent wave can fully interact with the analyte medium. Comparatively, the higher penetration depth at 5 µm cladding thickness did not contribute much to sensor sensitivity because most of the evanescent wave is in the cladding and only a tiny little part of it interacted with the analyte. Figure 4 provides a summary of this explanation.
Figure 5 shows the penetration depth at different analyte RI for different cladding thickness. For 0 µm and 2 µm cladding thicknesses, all analyte RIs from 1.480 – 1.500 RIU, with an RI step increment of 0.005 RIU can be ‘sensed’ distinctively with a great sensitivity by the sensor. This is proven in Figure 5(a) and 5(b) as the curve for each analyte RI does not overlap and can be differentiated clearly. It also can be observed that the curves separation for 0 µm cladding thickness is higher compared to the case of 2 µm. However, for the same scale of y-axis in the case of 5 µm cladding thickness, all the curves are overlapping as shown in Figure 5(c). Only when scaled down 100 times with respect to the y-axis, the curves can be differentiated, as depicted in the inset of Figure 5(c).
Figure 6 shows the registered \({n}_{eff}\) changes plotted at different analyte RIs for each cladding thickness. The magnified graph is shown in the inset, demonstrating the two different curves of 2 µm and 5 µm cladding thicknesses. The \({n}_{eff}\) changes increase nonlinearly as the analyte RI rises from 1.480 to 1.500. The non-linear change happens due to the nonlinearity of evanescent wave energy when interacting with the analyte medium [21]. However, there is an extremely small \({n}_{eff}\) change that occurred at the 5 µm cladding thickness. The significant \({n}_{eff}\) changes can be seen when reducing the cladding to the minimum of 0 µm thickness.
Despite the curve nonlinearity, Xiao et al. suggested an easy determination of sensor sensitivity by evaluating the changes in linear fit [21]. Thus, Table 1 shows the sensitivity changes towards the cladding thickness determined from the slope of the linear fit. It can be concluded that the cladding thickness extremely affects the sensitivity of the planar waveguide sensor. The highest sensor sensitivity is at 0 µm cladding thickness whereas 5 µm cladding thickness shows the smallest sensitivity. The difference in sensitivity between these two cases is enormous with a 107 difference in the order of magnitude. This is expected since the evanescent wave fully ‘senses’ the disturbance from the analyte medium in the absence of cladding layer, which allowed more light interaction between the sensor and analyte medium.
Table 1
Sensitivity of the optical waveguide sensor at different cladding thickness
Cladding thickness (µm)
|
Sensitivity
|
0
|
2.75 x 10− 4
|
2
|
3.98 x 10− 7
|
5
|
8.40 x 10− 11
|