International Journal of Antennas and Propagation
Volume 2021 (2021), Article ID 5548834, 15 pages
https://doi.org/10.1155/2021/5548834

Research Article

Integrated Miniature Multiband Antenna Designed for WWD and SAR Assessment for Human Exposure

Brahim Fady,¹ Jaouad Terhzaz,² Abdelwahed Tribak,¹ and Fatima Riouch¹

¹Department of Microwave and Communication Antenna Subsystems, INPT, Rabat, Morocco
²Department of Physics, CRMEF Casablanca Settat, Casablanca, Morocco

Correspondence should be addressed to Brahim Fady; brahim.fady@gmail.com

Received 21 January 2021; Revised 21 March 2021; Accepted 25 March 2021; Published 9 April 2021

Academic Editor: Giovanni Andrea Casula

Copyright © 2021 Brahim Fady et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract.

The article introduces a new, low-cost, integrated, multiband antenna design intended for wristbands and wearable wireless devices (WWD). With a miniaturized planar square-shape sizing 29 × 29 mm², the antenna can fit easily inside WWDs. The proposed design covers the most used frequency bands such as LTE2300, ISM2400, LTE2600, WiMAX3500, WiMAX5200, and ISM5800 in which the antenna reaches up to −25 dB and 6.9 dBi in terms of S11 and gain, respectively. To evaluate the exposure amenability of design on human body, we studied the specific absorption rate (SAR) of the design in two main use cases: multilayered human wrist model and a SAM (Specific Anthropomorphic Mannequin) head model. In each use case, the SAR results in different positions for all frequencies are compared to FCC standards.

1. Introduction

Since 1999, wearable wireless devices such as smartwatches, bracelets, and smart glasses are becoming widely used in healthcare, industry, and mainly in everyday life [1]. Nowadays, the smartphones field experiences a strong competition with the evolution and the fast development of smartwatches and wearable devices. Thanks to these smart wearable products, the internet of things is becoming more and more concrete, reigning our daily life and thus shaping our regular tasks. The user, just by speaking to his watch, can control any type of smart object in his house, such as television, coffee machine, and even lighting lamps. In the other direction, these objects can also communicate with the user by providing information in real time or generating conditional events, as in the case of the monitoring cameras which can on the detection of an intruder send an alert with photo to the user through his smartwatch, smart glass, or any similar WWD.

The main challenge in smartwatch and WWD industry is the connectivity; their small structure requires miniature antennas that enable the required wireless technologies such as Wi-Fi, Bluetooth, LTE, and WiMAX. For this reason, studies and researches about smartwatches antennas are progressing recently. Wu et al. presented in [2] a multiple-input-multiple-output (MIMO) antenna design for a smartwatch in 5.2–5.8 GHz wireless applications. The proposed MIMO design has shown excellent performance in the Wi-Fi 5.2 and 5.8 GHz, but the other required technologies such as Wi-Fi 2.4 GHz, Bluetooth, and LTE are not covered, and the antenna must be embedded in the plastic watchstrap of the smartwatch presenting a constraint for the constructors. Another MIMO antenna that relies on the smartwatch structure is developed in [3], where Wen et al. designed a capacitive feed structure operating in Wi-Fi/Bluetooth band. Such design is intended specifically for metal frame round smartwatch. In [4], a miniature printed inverted-F antenna sizing 15 × 36 × 0.3 mm³ is designed to cover the ISM band and proposed for IoT applications, but the antenna presents low gain and the other required bands for smartwatch use case are not covered, contrarily to the multiband suggested antenna in [5] but with bigger size. A slotted design with compact Substrate Integrated Waveguide (SIW) is suggested in [6] to cover the 5G 28 GHz and 38 GHz bands. The SIW design with a volume of 28.7 × 30.8 × 0.82 mm³ can fit perfectly the smartwatch; however, the antenna does not radiate in the other required bands. Miniature planar inverted F-antenna was designed by Jeevani et al. in [7] using genetic algorithm optimization to obtain the best feed and shorting pin positions. The antenna covers the Wi-Fi band but required bands such as LTE are missing. Niyamanon et al. proposed in [8] a dual-frequency circularly polarized patch antenna with slant strip line and L-shaped slot and truncated square aperture for operation in 2.5 GHz and 5.8 Ghz, but the proposed antenna with a size of 40 × 54 × 1.6 mm³ is difficult to implement inside a smartwatch and the bands of LTE are not covered. In [9] Liu et al. suggested a low profile design operating only for LTE bands, whereas in [10] Wang and Yung designed a built-in antenna operating in GPS and ISM bands based on complex materials. Wang and Yan designed in [11] an annular ring which surrounds the framework of the smartwatch with two ports of excitation; this design is very convenient for smartwatch with circular structure but cannot be used for other shapes. A dual-polarized slot antenna is presented in [12]; the design exhibits excellent performance in terms of gain and S11 for ISM2400, LTE2300, and LTE2600 bands, but the suggested structure cannot fit inside the average smartwatch size since the design requires an artificial magnetic conductor surface to act as a reflector for the antenna.

The objective of this work is to design a miniaturized antenna, suitable for WWD integration and covering the required technologies in smartwatch industry such as LTE2300, ISM2400, LTE2600, WiMAX3500, WiMAX5200, and ISM5800. This research presents first the parametric study of the proposed antenna and the impact of the structure parameters against the performance in term of reflection coefficient. Further a detailed analysis is given for the measurements of gain, radiation pattern, and reflection coefficient using the fabricated antenna. Finally, the human body exposure is evaluated against the radiation of the proposed design in compliance with FCC standards, using SAM Head model for SAR evaluation at mouth level for the use case where the user get the smartwatch close to his mouth to speak through it, and a multilayer model of human wrist. In each configuration we evaluate the SAR results at different positions for each frequency.

2. Specification and Use Case

2.1. Wearable Wireless Devices Evolution and Use Cases

Smartwatches are some of the most intimate and personal technology products available on the market. They are literally tied to their users with a strap and kept on the person almost all day, everyday. For many purposes, a smartwatch serves as a front end for a remote system such as a smartphone, communicating with the smartphone using various wireless technologies. Smartwatches in their typical forms shown in Figure 1 are advancing, especially their design, battery capacity, and health-related applications.

While internal hardware varies, most have an electronic visual display, either backlit LCD or OLED or Hologram [5]. Some use transflective or electronic paper, to consume less power. They are generally powered by a rechargeable lithium-ion battery. Peripheral devices may include digital cameras, thermometers, accelerometers, pedometers, heart rate monitors, altimeters, barometers, compasses, GPS receivers, tiny speakers, and microSD cards, which are recognized as storage devices by many other kinds of computers. Software may include digital maps, schedulers and personal organizers, calculators, and various kinds of watch faces.

These intimate devices pose a number of design challenges especially with regards to wireless transmission. First of all, the antenna must not contain active component to reduce power consumption. The antenna must be miniaturized as possible to fit inside the device. As shown in Figure 2, the smartwatch may communicate with external devices such as sensors, wireless headsets, or a heads-up display, and just like other smart devices, a smartwatch may collect information from internal or external sensors and it may control, or retrieve data from, other instruments or computers [5]. The following technologies are necessary and sufficient to ensure the connectivity requirement of smartwatch industry: LTE2300, WiMAX3500, ISM2400, LTE2600, WiMAX5200, and ISM5800.

(a)

(b)

(c)

Figure 1: Smartwatch typical structures: (a) bracelet, (b) rectangular, and (c) round [13].

Figure 2: Smartwatch for IoT enabling.

2.2. Antenna Requirement

In order to satisfy the smartwatch use case, we aim to design a planar antenna easy to implement inside the smartwatch case and cost effective for manufacturing. For cost optimization, the monolayer FR4 substrate is selected. According to smartwatch industry standards, e.g., Apple watch Series 6, the thickness of the smartwatch is between 7 mm and 10.5 mm and the PCB of the smartwatch processing unit is up to 1.6 mm of thickness. This means that we should use a substrate with a thickness of 0.8 mm to ensure that the antenna can fit perfectly inside the smartwatch. The average surface of the smartwatches is 40 × 40 mm² which constrains the antenna design that should be smaller. In terms of connectivity, we seek to cover most required wireless technologies to ensure wide usage of the antenna. The most used frequency bands are required for such application, listed in Table 1.

Table 1: Frequency specification of the antenna design [5].

Frequency (GHz)
Bandwidth (MHz)
Designation

2.3
2305–2400
LTE2300 band

2.4
2400–2500
ISM band

2.6
2500–2690
LTE2600 band

3.5
3500–3600
WiMAX3500 band

5.2
5200–5300
WIMAX5200 band

5.8
5750–5850
ISM5800 band

As shown in Table 1, we selected for the LTE technology 2 bands LTE2300 and LTE2600 serving for 4G communication. The Wi-Fi, Zigbee, and Bluetooth will be covered with the ISM2400 and ISM5800 bands, which can enable the Internet of Things communication, e.g., controlling smart speakers via Bluetooth. The WiMAX bands 3.5 GHz and 5.2 GHz can be used as an alternative of LTE for 4G and as an alternative to Wi-Fi for long distance communication; e.g., in industrial IoT an operator can receive alerts from machines in his smartwatch.

3. Antenna Design and Configuration

3.1. Configuration and Parametric Study

The conception of the antenna is initiated with a planar microstrip structure. We designed each radiating element based on the wavelength derived from the target band. The length of the antenna elements is a factor of wavelength corresponding to each frequency band. The slots in the ground plane help achieve the target bands as well as the coupling between the radiating items. In each phase of the conception, the current distribution is assessed in several iterations to make the convenient adjustments on the size of the element influencing the target band. The antenna was designed and optimized with the software CST Studio Suite® electromagnetic field simulator.

The reflection coefficient results over the frequencies are presented in Figure 3(a). From the results obtained, all the target frequencies are covered with S11 variating from −7 dB obtained in the WiMAX5200 band to −23 db, obtained in the LTE2300 band.

(a)

(b)

Figure 3: (a) S11 simulation results of each configuration. (b) Influence of antenna parameters on S11 simulation results.

Figure 3(b) presents the influence of each antenna parameter on the S11 results. It is noticeable that the parameter L2 impacts the ISM5800 and LTE2600 bands, and the parameter H4 impacts mainly the WiMAX3500 band, whereas the other parameters are cross influencing the S11 in all the bands.

3.2. Final Design

The geometry of the proposed antenna design is presented in Figure 4. The planar structure is based on FR4 substrate, 0.8 mm thick, and having a constant dielectric of 4.3 and loss tangent of 0.002. The antenna uses a fed line sizing 2 × 14.5 mm² and has a global size of 29 × 29 × 0.8 mm³. The antenna design is based on 16 parameters shown in Figure 4 and listed in Table 2.

(a)

(b)

Figure 4: Proposed design geometry: (a) bottom and (b) top.

Table 2: Dimensions of the proposed antenna.

Parameter
Value (mm)

H
29

W
29

L1
6.6

L2
21

L3
4

H1
2.7

H2
3.27

H3
4.17

H4
6.26

H5
4.2

H6
13.2

H7
14.7

H8
4.6

H9
2.67

H10
3

G1
1.73

4. Results and Discussion

4.1. Antenna Fabrication

We manufactured the proposed design shown in Figure 5, with the LPKF ProtoLaser S machine. This machine selectively removes the conductive layer made of copper for the FR4 substrate used for this design. To ensure a high-quality design, the machine traces the isolation channels with the laser to precisely create the intended design tracks and surfaces.

(a)

(b)

(c)

Figure 5: Manufactured antenna design.

4.2. Measurement Configuration

As shown in Figure 6(b), the measurements of the reflection coefficient are performed with the Vector Network Analyzer (VNA) Agilent N3383 operating from 0.0003 GHz to 9 GHz with the Keysight cables. Before each measurement iteration, we used the Agilent 85033E 3.5 mm Calibration Tool Kit. As shown in Figure 6(a), the radiation pattern measurements are evaluated using a Double-Ridged TEM Horn Antenna with the GEOZONDAS equipment Lens GZ0226DRH operating from 1 to 26 GHz.

(a)

(b)

Figure 6: Measurement configuration: (a) gain and radiation pattern [5] and (b) reflection coefficient.

As main measurement instrument, the digital sampling converter is used. Its characteristics are optimized according to the system’s parameters. The Ultrashort-Pulse Electrical Generator serves as a measurement signal source.

4.3. Reflection Coefficient Measurements

The S-parameters in term of S11 of the proposed antenna connected to the smartwatch model are measured using the Agilent VNA where the results are presented in Figure 7 and compared to simulation results performed with CST Studio. For each measurement iteration, Port 1 of the VNA is excited and the other ports are looped with a 50Ω load. As shown in Figure 7, the measurements approve the simulations results for all target frequency bands. We notice better values of the S11 of the measurement in comparison to the simulation up to −10 dB, for frequencies higher than 4 GHz. Based on the results obtained, all the required frequency bands are covered giving a large bandwidth of 700 MHz and an S11 up to −25 dB for LTE2300, ISM2400, and LTE2600 bands and 400 MHz bandwidth with an S11 up to −23 dB for WiMAX3500. The results show a wide band covering the WiMAX5200 and ISM5800 with a bandwidth up to 3200 MHz and S11 up to −17 dB.

Figure 7: S₁₁ measurements results compared to simulations.

4.4. Radiation Results

Figures 8 and 9 show the measured radiation pattern depicted in two dimensions for Elevation and Azimuth plot, respectively, and performed for each frequency according the to the configuration presented in Figure 6.

(a)

(b)

(c)

(d)

(e)

(f)

Figure 8: Elevation view of the radiation pattern: (a) 2.3 GHz, (b) 2.4 GHz, (c) 2.6 GHz, (d) 3.5 GHz, (e) 5.2 GHz, and (f) 5.8 GHz.

(a)

(b)

(c)

(d)

(e)

(f)

Figure 9: Azimuth view of the radiation pattern: (a) 2.3 GHz, (b) 2.4 GHz, (c) 2.6 GHz, (d) 3.5 GHz, (e) 5.2 GHz, and (f) 5.8 GHz.

Based on the measurement results presented in Figures 8 and 9, we notice that the proposed design is quasiomnidirectional for the frequency bands LTE2300 and WiMAX3500 with a maximum gain up to 6.9 dBi and 6.5 dBi, respectively, whereas it is noticeable that the antenna is near omnidirectional for frequency bands ISM2400, LTE2600, WiMAX5200, and ISM5800 with a maximum gain up to 6.9 dBi.

The maximum gain over frequencies is presented in Figure 10. The measurement results show that the maximum gain varies slightly over the target frequency bands. The maximum variation is 7.8% corresponding to difference between the lowest value 6.4 dBi at 3.5 GHz to the highest value 6.9 dBi at 5.8 GHz.

Figure 10: Variation of the maximum gain over frequencies.

4.5. Current Distribution

The current distribution results are shown in Figure 11 as per the frequency scope. In each frequency, different area in the antenna structure is involved with relevant density.

(a)

(b)

(c)

(d)

(e)

(f)

Figure 11: Current distribution per frequency: (a) 2.3 GHz, (b) 2.4 GHz, (c) 2.6 GHz, (d) 3.5 GHz, (e) 5.2 GHz, and (f) 5.8 GHz.

4.6. Total Efficiency

In Figure 12, we present the variation of the total efficiency as a function of the frequency. The results obtained show that the antenna radiates at least 70% of the signal in the majority of cases, except for the WiMAX5200 band where the total efficiency is around 50%.

Figure 12: Variation of the total efficiency over frequencies.

4.7. Influence of the Smartwatch

The influence of the smartwatch case on antenna reflection coefficient is assessed for different configuration. As shown in Figure 13, we used a plastic case as alternative to smartwatch box case and attached the antenna to the case using a tape. The S11 of the antenna with the tape only is measured first to assess the impact of the tape; then, the antenna is attached to the smartwatch case with a separation of 1 mm to investigate the smartwatch case impact on the S11. Afterward we mounted the antenna with the case on human hand to assess the variation of the S11 in two configurations: antenna with a separation of 1 mm to the case and antenna without separation to the smartwatch case.

Figure 13: Smartwatch case used for S11 measurement.

The measurement results of the reflection coefficient for each configuration are presented in Figure 14. The obtained results show that the plastic tape used to attach the antenna to the smartwatch case has no impact on the S11 results. When the antenna is attached to the case with 1 mm separation, the S11 magnitude and bandwidth values are the same as results obtained in the free space for frequencies lower than 4 GHz. Notwithstanding, we notice a bandwidth 400 MHz (10%) lower than the free space results between 4 GHz and 9 GHz, but the S11 value is lower for the WiMAX5200 with a decrease up to −24 dB than the free space results. When the system antenna and case are mounted on the human hand, the only significant variation is obtained for the ISM5800 band, where the S11 is increased from −30 dB to −15 dB without impact on the bandwidth.

Figure 14: Influence of the smartwatch on the antenna S11.

It is noticeable that removing the separation between the antenna and the case induces a variation in the S11 magnitude for frequencies higher than 5 GHz with an average increase of the S11 up to −8 dB compared to results obtained with 1 mm separation. For the frequencies lower than 5 GHz, the results are slightly better for LTE2600 and ISM2400 bands where the S11 is 4 dB lower than the results obtained at a separation of 1 m. The measurements confirm that the target bands are covered in all the configurations and for both separation 1 and 0 mm.

5. Comparison to State-of-the-Art Designs

The proposed design is compared with the state-of-the-art designs in the same research area and results are summarized in Table 3. Overall, the proposed design exhibits better advantages over other antennas in terms of miniature size, covered bands, and maximum gain. Thanks to its miniature size and planar shape, the proposed design is a competitive candidate for both rectangular and round structures of smartwatches.

Table 3: Comparison of the proposed design to state-of-the-art antennas.

References
Antenna dimension
Covered bands
Maximum gain (dBi)
Smartwatch type

[2]
MIMO:
70 × 35 × 0.4 mm³
WiMAX5200, ISM5800
4
Rectangular

[3]
Annular:
diameter: 42 mm
height: 7 mm
ISM2400
3.5
Round

[4]
33 × 41
GPS, WLAN, WiMAX3400
3.0
Rectangular

[14]
31 × 30
ISM2400, WiMAX3500
2.25
Rectangular, round

This work
29 × 29 × 0.8 mm³
LTE2300, ISM240, LTE2600, WiMAX3500, WiMAX5200, ISM5800
6.9
Rectangular, round

6. SAR Studies

In order to assess the human exposure to the proposed antenna radiation, the SAR performance of the antenna is evaluated in two configurations. The first configuration consists of mounting the antenna on the human hand wrist whereas we place the antenna next to SAM head mouth in the second configuration which illustrates the speaking mode through smartwatch. The results of SAR evaluation are verified against the SAR value limits required by the FCC standard, which are 2 W/kg averaged over 10 g and 4 W/kg averaged over 10 g of tissue of human head and hand wrist, respectively [15–21].

6.1. Antenna on Hand Wrist

The configuration of the antenna mounted on the human hand wrist model is shown in Figure 15. The figure shows also the four layers of human wrist tissue. Four antenna to wrist separations are selected to evaluate the SAR results: d = 1 mm, d = 2 mm, d = 4 mm, and d = 7 mm. For each separation, the SAR is calculated for each frequency band required within the scope of this research.

Figure 15: SAR simulation setup.

The presented wrist model consists of a three-dimensional human hand model with four tissue layers: skin, fat, muscle, and bone. The dielectric properties of each layer are listed in Table 4 as well as the conductivity for each frequency.

Table 4: Human hand tissues characteristics [15].

Frequency (MHz)
2300
2400
2600
3500
5200
5800

Tissues
εr
σ (S/m)
εr
σ (S/m)
εr
σ (S/m)
εr
σ (S/m)
εr
σ (S/m)
εr
σ (S/m)

Skin
38.17
1.39
38.06
1.44
38.43
1.30
38.23
1.35
38.18
1.40
38.06
1.44

Fat
5.295
0.098
5.28
0.10
5.32
0.09
5.31
0.095
5.30
0.10
5.28
0.10

Muscle
54.62
1.77
54.48
1.84
54.04
1.57
53.98
1.66
53.77
1.70
53.64
1.77

Bone
18.72
0.75
18.60
0.78
15.28
0.50
15.16
0.53
15.10
0.56
15.01
0.59

Table 5 explores the maximum SAR results averaged over a mass of 10 g of hand wrist tissue, for each separation, frequency band, and tissue layer. The results presented in Table 5 show that the maximum SAR values obtained in each layer of the hand wrist tissue are lower than 4 W/kg and thus meet the SAR limits defined by the FCC Standards. Since the dielectric properties of the fat tissue are lower than the dielectric properties of the skin tissue, it is worthy to note that even though the fat layer is below the skin layer, the maximum SAR results obtained in the fat layer are slightly high (up to 0.009 W/kg) for each antenna to wrist separation and at each frequency band. We also notice that the maximum SAR results decrease up to 45% from the fat tissue down to muscle tissue and similarly from the muscle tissue down to bone tissue up to 64%, whereas from frequency perspective we observe that the maximum SAR results in ISO-tissue level decrease from the lowest frequency bands to highest frequency bands, up to 19% in the skin layer, 52% for the fat layer, 55% in muscle layer, and 8% for the bone layer.

Table 5: Maximum SAR results of the antenna mounted on wrist configuration.

Distance
d = 1 mm
d = 2 mm
d = 4 mm
d = 7 mm

Frequency (MHz)
Tissue
Input power (W)
10 g SAR (W/kg)
10 g SAR (W/kg)
10 g SAR (W/kg)
10 g SAR (W/kg)

2300
Skin
0.125
2.061
0.657
0.621
0.324

Fat
0.125
2.07
0.666
0.63
0.333

Muscle
0.125
1.125
0.585
0.549
0.189

Bone
0.125
0.396
0.243
0.216
0.126

2400
Skin
0.125
2.079
0.612
0.558
0.432

Fat
0.125
2.088
0.621
0.567
0.441

Muscle
0.125
1.17
0.522
0.459
0.396

Bone
0.125
0.288
0.216
0.189
0.135

2600
Skin
0.125
2.349
0.81
0.612
0.378

Fat
0.125
2.358
0.819
0.621
0.387

Muscle
0.125
1.89
0.747
0.486
0.369

Bone
0.125
0.324
0.261
0.225
0.126

3500
Skin
0.125
2.979
1.962
1.782
1.341

Fat
0.125
2.988
1.971
1.791
1.35

Muscle
0.125
1.953
1.845
1.377
1.188

Bone
0.125
0.522
0.504
0.45
0.36

5200
Skin
0.125
3.294
3.348
2.511
1.674

Fat
0.125
3.303
3.357
2.52
1.683

Muscle
0.125
2.592
3.051
2.115
1.44

Bone
0.125
0.36
0.459
1.944
0.27

5800
Skin
0.125
3.15
3.033
1.953
0.774

Fat
0.125
3.159
3.042
1.512
0.783

Muscle
0.125
2.538
2.619
1.377
0.693

Bone
0.125
0.243
0.315
0.243
0.153

The three-dimensional distributions plotted using software CST MWS, of the SAR values n W/kg averaged over a mass of 10 g calculated over the hand wrist tissue layers are shown in Figure 16. The results are depicted by frequency bands in scope for 2 mm separation between antenna and hand wrist.

(a)

(b)

(c)

(d)

(e)

(f)

Figure 16: SAR distribution in W/kg averaged over 10 g along hand wrist tissue, for a spacing d = 2 mm. (a) 2.3 GHz. (b) 2.4 GHz. (c) 2.6 GHz. (d) 3.5 GHz. (e) 5.2 GHz. (f) 5.8 GHz.

It is worthy to note that the SAR results averaged over 10 g increase slightly from the skin layer to the fat layer up to 0.009 W/Kg and then decrease rapidly from the muscle layer to the bone layer. The values of the SAR averaged over 10 g are lower in the edges of the wrist than the center due to the antenna position localized in the center top of hand wrist. The obtained results show that the maximum SAR values obtained in each layer of the hand wrist tissue are lower than 4 W/kg and respect the SAR limits specified by the FCC Standards.

6.2. Antenna Next to SAM Mouth

The configuration of the antenna next to SAM head mouth provided by CST studio software is shown in Figure 17.

(a)

(b)

Figure 17: Position of smartwatch antenna next to SAM mouth model.

For this scenario the proposed design is localized next to SAM mouth. Three separations between the antenna and SAM mouth are selected: d = 1 mm, d = 5 mm, and d = 9 mm. The maximum SAR averaged over a mass of 10 g of the SAM head tissues is calculated at each frequency band and against all separation. Table 6 summarized the maximum SAR results in W/Kg calculated using an input power of 125 mW. The obtained results show that the maximum SAR values averaged for 10 g of the head model tissue decrease up to 71% when the separation between the antenna and SAM mouth increases with 8 mm. In average the SAR value decreases by 71% from d = 1 mm to d = 9 mm. The obtained results clearly confirmed that the maximum SAR values averaged over a mass of 10 g in SAM Head tissue are below 2 W/kg defined by the FCC Standards as SAR limits.

Table 6: Maximum SAR results at each frequency for each distance of antenna next to mouth.

Distance
d = 1 mm
d = 5 mm
d = 9 mm

Frequency (MHz)
Tissue
Input power (W)
10 g SAR (W/kg)
10 g SAR (W/kg)
10 g SAR (W/kg)

2300
SAM head
0.125
0.534
0.4361
0.3115

2400
SAM head
0.125
0.6942
0.356
0.2403

2600
SAM head
0.125
0.6764
0.3293
0.2047

3500
SAM head
0.125
1.7622
1.0591
0.7832

5200
SAM head
0.125
1.5931
1.068
0.5696

5800
SAM head
0.125
1.691
0.8544
0.4895

Figure 18 shows SAR (W/kg) distribution averaged over 10 g inside SAM head for an antenna separation to SAM head mouth up to 5 mm. The results of SAR distribution plots are higher with larger impact deep inside SAM head at the frequency bands 2.3 GHz, 2.4 GHz, and 2.6 GHz than the impact presented by frequency bands 3.5 GHz, 5.2 GHz, and 5.8 GHz. Based on the results shown in Table 6 and Figure 18, all the values of the SAR averaged over 10 g inside SAM head obtained at each frequency starting from a separation of 1 mm are below the SAR limits 2 W/kg defined by the FCC standards.

(a)

(b)

(c)

(d)

(e)

(f)

Figure 18: SAR (W/kg) distribution averaged over 10 g inside SAM head, antenna 5 mm separated to SAM mouth. (a) 2.3 GHz. (b) 2.4 GHz. (c) 2.6 GHz. (d) 3.5 GHz. (e) 5.2 GHz. (f) 5.8 GHz.

7. Conclusions

This research suggested a novel miniaturized antenna manufactured, tested, and verified for wearable devices use case. The proposed design with its simple low-cost planar structure allows the manufacturer to save considerable amount of money accounting of the number of antennas required in such application worldwide. Comparative to the existing propositions, the presented antenna sizing 29 × 29 × 0.8 mm³ is distinguished by its simplicity for manufacturing, ease of deployment inside smartwatches, and excellent performance in terms of radiation pattern, gain, and reflection. The antenna was fabricated and measured in terms of the radiation pattern and the return loss; the results confirm the simulations and show that the antenna is approximately omnidirectional with a maximum gain up to 6.9 dBi and S11 up to −25 dB, and it covers all the specified technology bands used in the smartwatch devices such as LTE2300, ISM2400, LTE2600, WiMAX3500, WiMAX5200, and ISM5800. For the compliance of antenna against the FCC Standards, the SAR averaged for 10 g of tissue was evaluated for each frequency and for two configuration: antenna on hand wrist model with four tissue layers and antenna next to SAM mouth model. The maximum SAR results obtained starting from a separation of 1 mm show compliant values below the limit 4 W/kg in the case of hand wrist and values below 2 W/kg limit in case of SAM head.

Data Availability

All data can be provided by the authors upon request.

Conflicts of Interest

The authors declare that they have no conflicts of interest.

Acknowledgments

The authors of this work would like to express their great appreciation to Professor Angel Mediavilla from the University of Cantabria for his kind support and assistance.

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