a. Sensor structure
Based on their high sensitivity, zero power consumption, moderate to high quality factor, and the non-invasive nature of the sensor, chipless microwave split ring resonators are excellent candidates for biomedical sensing applications and wearable electronics. The presented structure in this work is a gap coupled transmission line (GCTL) as the reader electromagnetically is coupled to a chipless split ring resonator (tag). The sensor is energized through electromagnetic coupling to a relatively wide-band spectrum provided by the GCTL structure. Research has shown that defecting the ground plane’s conductor of the reader increases the coupling strength between the tag and the reader potentially leading to an increase in the maximum achievable distance between them [31]. However, the sensing mechanism presented herein benefits from this design with some further modifications. As shown in Fig.1, the reader part of the sensor including the GCTL, and the defected ground plane is placed at one side of the tissue under-the test (TUT) and the tag is located on the other side. On the other word, the TUT is sandwiched between the reader and the tag which is different from the traditional sensing mechanisms in which the material under-test located on top of the tag beyond the reader. This modification improves the functionality of the sensor in a high permittivity environment such as the human body that possesses a high conductivity. In addition, the strong coupling between the tag and the reader, due to the impact of the defected ground, results in an enhanced sensitivity that is critical in biomedical applications. Since the majore measured output of these sensors is their resonance frequency, the sensitivity is defined as the shift in their resonance frequency due to change in the permittivity of the material under the test. To obtain further insights to this improved sensitivity of the proposed structure, a field distribution simulation in High-Frequency Structure Simulator (HFSS) is presented in Fig.1(d). The strength of the electromagnetic field in the volume between the reader and the tag is stronger than that beyond the tag and therefore a higher sensitivity is expected.
b. Frequency design
The resonance frequency of the split ring resonator is a function of their effective length and the effective permittivity of their ambient and is defined as follows.
where c is the speed of light, l is the length of the resonator and εeff is the effective permittivity of the resonator’s ambient. To select an optimum resonance frequency for the sensor, it is worth considering some specific characteristics. The permittivity and conductivity of materials are known to vary with frequency, due to different relaxation times. Thus, selecting the resonance frequency of the split ring resonator carefully can result in a higher frequency shift (i.e., sensitivity) for the same concentration variation of materials. This can lead to an improvement in the amplitude response of the sensor, which is directly related to the overall reliability of the system. The dimensions of the various components of the designed sensor are presented in Figure 1 (a)-(c).
The earlobe is chosen as a potential sensor site as it is a relatively simple tissue devoid of bones, ligaments, and major blood vessels (Fig.2(a)). Moreover, the earlobe is of a similar size in most people with general applicability to the majority of the population. The presence of an even distribution of smaller blood vessels makes the earlobe a relatively homogenous and ideal substrate for this particular sensor application [35], [36]. The average thickness of human earlobe is about 3.4mm [34]. Although there is inter-individual variability in thickness of this parameter, it is not very critical for this work as the variability falls in a limited range which supported by the proposed sensor. The different tissues layers within the earlobe and their respective dielectric properties are outlined in Table I. Based on the data provided in Table I, the model (Fig.2(b)) is built for the simulation.
Table I. Earlobe tissue type typical thickness and dielectric properties [35]-[38].
|
Thickness
|
εr @900MHz
|
Conductivity (S/m)
|
Skin
|
0.68 mm
|
30
|
0.7
|
Fat
|
0.78 mm
|
14
|
0.1
|
Blood
|
0.48 mm
|
71
|
1.1
|
Fat
|
0.78 mm
|
14
|
0.1
|
Skin
|
0.68 mm
|
30
|
0.7
|
Based on studies that address the aforementioned tissues and materials [37]–[40], and to maintain reasonable permitivities and conductivities while keeping the size of the sensor small enough for earlobe sensing, resonance frequencies in the range of 900MHz to 2GHz are appropriate. Field analysis of the designed resonator over the modelled earlobe tissue is presented in Fig.3. Notably, the electromagnetic field reliability penetrates reliably this model that results in a high quality factor transmission response (Fig. 3(b)). Both peak and notch frequencies could be defined as the output of the sensor, but according to the higher quality factor of the notch frequency (which is the transmission zero of the sensor), it is considered as the sensor’s output. Possessing a high quality factor results in higher resolution in the measurement which is a highly desirable feature for bio-sensing applications.
c. Environmental protection
One of the major problems associated with many microstrip microwave resonator-based sensors, is their high susceptibility to the environmental conditions. Since any change in environmental materials could result in variation in the overall effective permittivity (according to Equation (1)), an error occurs in the resonance frequency. For overcoming this issue, a simple and yet very efficient method is presented in this work. Specifically, a thin metallic plate is placed in parallel with the sensor tag and acts as an isolation layer that reduces the impact of external materials and their variations to the sensor. Fig.4 presents the proposed plate alongside the overall field distribution of the sensor as well as its transmission response. It could be seen that the field is drastically decayed outside of the isolation layer, indicating an insensitivity of the proposed structure to the materials that are located outside of the isolation layer.
To investigate further the impact of the added isolation layer, another simulation is performed that reports the frequency shift as the result of proximity of a material with relative permittivity of εr=35 and the overall conductivity of 1S/m. As illustrated in Fig.5(a), the result of this simulation indicates the importance and the influence of the isolation layer on the reliability and robustness of the structure. It is interesting to notice that the mentioned permittivity in the simulation of Fig.5 could be happened simply by touching the earlobe with a fingertip. Since the structure is protected by the ground plane on the other side, the presented sensor could be identified as an environmentally robust structure.
Another interesting aspect of the isolation layer is the impact of the distance between the isolation layer and the tag. As the distance between the isolation layer and the tag decreased, the quality factor of the sensor is reduced due to more energy absorption by the iso-potential plane created from the isolation layer. Converesely, larger distances between the tag and the isolation layer reduce the user’s comfort and could even make the device impractical. Therefore, there is a trade-off between the user’s comfort and the quality factor of the sensor. This concern is studied in Fig.6 showing the response of the sensor at various tag-isolation layer distances. At reasonable distances, acceptable quality factors are achievable.