Multiband Metamaterial-Inspired Antenna with a Hexagonal Split-Ring Resonator for Multiband Wearable Application

Article information

J. Electromagn. Eng. Sci. 2025;25(5):428-435

Publication date (electronic) : 2025 September 30

doi : https://doi.org/10.26866/jees.2025.5.r.314

Manish, Rajesh Kumar Rai

Department of Electronics & Communication Engineering, Madhyanchal Professional University, Bhopal, Madhya Pradesh, India

^*Corresponding Author: Manish (e-mail: msliet@gmail.com)

Received 2024 September 6; Revised 2024 December 4; Accepted 2025 January 1.

Abstract

I. Introduction

With recent advancements in the field of communication technology, antennas are being designed for application in wearable devices. The major requirements of an antenna to be suitable for use in a wearable device are compactness, compatibility, multiband operations, and a low specific absorption rate (SAR). In this context, a multiband antenna would be the preferred antenna because it involves a single antenna capable of transreceiving more than one operating band, which is extremely suitable for a wearable device, where the scope of integrating multiple antennas for different frequencies is very low. Furthermore, its low SAR value ensures the safe use of antennas positioned near the human body. Therefore, several researchers have proposed innovative antenna designs, such as circular and hexagonal split-ring resonators (SRRs) [1], rectangular SRRs [2], complementary SRRs (CSRRs) [3], meander lines [4], extended radiator structures [5], and even reconfigurable structures [6] that generate multiple bands through the application of switching circuits.

Some of these antenna designs involve a meander-line structure accomplished on a perforated inset step ground plane for triple-band operation [4], an extended radiator structure on a partially perforated ground plane for multiple-band operation [5], a PIN diode used to connect two slots of a coplanar waveguide (CPW) antenna for switching between multiple-band operations [6], a CSRR within a CPW antenna with the ground plane located at the periphery of the substrate for triple-band operation [7], and multiple hexagonal CSRRs on a hexagonal radiating surface in a CPW antenna for triple-band operation [8]. Furthermore, a number of designs for CPW antennas have been accomplished, involving a combination of triangular SRRs and circular CSRRs on a flexible substrate for dual-band operation [9], a simple SRR-shaped radiator with ground on the same plane to generate dual bands [10], a co-axial feed with a meandered L-shaped probe on a simple rectangular patch to design a triple-band antenna [11], a left-adjusted inset feed in a rectangular patch with CSRR on a defected ground structure to attain four bands [12], a circular patch with partial ground plane and parasitic T- and L-shaped stubs for achieving four bands [13], and a pentagon-shaped radiating patch edged with a circular slot and a parasitic E-shaped radiating element with partial ground plane for acquiring three bands [14]. In this work, a four-band antenna consisting of dual SRR and CSRR is presented for use in ISM (2.4 and 5.8 GHz), maritime radio navigation, aeronautical radio navigation, and Wi-Fi WLAN applications. The antenna is compact, and is verified for biomedical wearable applications using a four-layer human phantom model. The following points highlight the novelty of the proposed design:

The novelty of the proposed antenna also lies in its being a single monopole antenna that can operate at both the sub-6 GHz ISM bands (2.4 GHz and 5.8 GHz). Notably, the term metamaterial-inspired is used in this study because metamaterial properties are utilized to reduce patch size. In theory, the patch size for the 2.4 GHz band is usually a length of 38.03 mm and a breadth of 29.442 mm (area 1,119 mm²). When using metamaterials, the patch dimensions can be reduced to a length of 24.63 mm and a breadth of 22 mm (area 541.86 mm²), indicating a 51.58% reduction in patch size.

II. Design Dimensions and Evolution of the Antenna

Fig. 1(a) illustrates the structural layout of the hexa-ring SRR multiband antenna, while Fig. 1(b) presents the completed prototype (fabricated). The antenna was constructed on a fire-resistant, 1.6 mm-thick glass epoxy foundation with a ɛ_r of 4.4. The overall dimensions were 35 mm (height) and 35 mm (width). The structural dimensions (in mm) are presented in Table 1.

Fig. 1

(a) Dimensions and statistics of the proposed antenna and (b) prototype (fabricated).

Table 1

Dimensions of the proposed antenna (unit: mm)

The design of the proposed antenna features a hexagonal outer- ring-type structure along with a step feed to generate four bands covering 2.37–2.48 GHz, 2.8–3.2 GHz, 4.25–4.4 GHz, and 5.38–6.22 GHz, resonating at 2.43 GHz, 2.94 GHz, 4.35 GHz, and 5.75 GHz for the 2.4 GHz ISM band, radio location applications, aeronautical and radio navigation applications, and the 5.8 GHz ISM band, respectively. Furthermore, two hexagon- shaped SRRs were employed to generate band notches at 2.59 GHZ and 4.56 GHz, thereby eliminating interference from mobile communication networks.

The evolution of the proposed antenna involved four consecutive steps, where the |S₁₁| progressively improved with each step. As shown in Fig. 2(a), a hexagonal structure is utilized as the radiator in Step 1, with a dual band observed at 2.8–3.2 GHz and 5.0–6.6 GHz. In Step 2, a hexagonal ring-type structure is etched out from the radiator to form a hexagonal ring with a thickness of 0.37 mm (R1–R2), thereby increasing the electric length of the antenna, which then radiates at a lower frequency range of 2.2–2.4 GHz and 7.4–8.0 GHz. In Step 3, a hexagonal SRR is added to the structure using a step feed, which is responsible for generating a triple band at frequency ranges of 2.6–2.8 GHz, 4.1–4.5 GHz, and 5.2–5.7 GHz, while a notch band is formed at 4.55 GHz due to the generation of the CSRR structure. Finally, a hexagonal structure with a step feed is introduced, which improves the electric length of the structure and successfully achieves the four desired bands: 2.37–2.48 GHz, 2.8–3.2 GHz, 4.25–4.40 GHz, and 5.38–6.22 GHz. The reflection coefficient at each step is depicted in Fig. 2(b).

Fig. 2

(a) Steps for designing the prototype antenna and (b) reflection coefficient of the development steps.

III. Notch Analysis

The proposed antenna comprises a dual CSRR responsible for generating the notch bands at 2.59 GHz and 4.55 GHz. The results of the surface current analyses for both bands are illustrated in Fig. 3(a) and 3(b).

Fig. 3

(a) Surface current analysis of J_surf notch at 2.59 GHz (a) and 4.55 GHz (b).

The notch frequency was calculated based on the dimensions of the CSRR using Eqs. (1) and (2):

where L1, L2, L3, and L4 represent the sides of the hexagon of radius R2, R3, R4, and R5, respectively. Furthermore, C was considered equal to the speed of light, and the value of ∈_T was calculated by Eq. (3), as follows:

The calculated notch values closely matched the measured values. The obtained notch frequencies were used to eliminate interference from fixed and terrestrial mobile services. Table 2 presents the calculated and simulated values of the notches at 2.59 GHz and 4.55 GHz.

Table 2

Dimensions of the proposed antenna

IV. Wearable Analysis

Among the four bands exhibited by the proposed antenna, 2.4 GHz and 5.8 GHz can be allocated for wearable and biomedical applications. Notably, since the antenna has a compact structure, it is considered highly desirable for use in wearable devices. To investigate this, a phantom model imitating the human wrist was employed, as depicted in Fig. 4. The thicknesses of the skin tissue, fat tissue, muscular tissue, and bone in the model were 2 mm, 5 mm, 30 mm, and 10 mm, respectively [15].

Fig. 4

The antenna and the phantom model.

Since the human body is a lossy environment, placing an antenna too close to it results in significant radiation losses. Additionally, changes in operating frequency may alter the properties of tissues. The characteristics of different tissues with regard to operating frequency are presented in Table 3 [1]. In this study, the tissues were characterized according to the values depicted in the table and their radiation values, such as |S₁₁|. Radiation efficiency and the peak realized gain were analyzed by positioning the designed antenna 5 mm, 10 mm, 15 mm, and 20 mm from the phantom model. The results for |S₁₁|, peak realized gain, and radiation efficiency are presented in Fig. 5(a), 5(b), and 5(c), respectively. A minor variation in |S₁₁| is observed when the antenna is placed at a distance of 5 mm from the human body. Furthermore, Fig. 5(b) shows that the gain is substantial at lower frequencies at distances of 10 mm and 15 mm, while it is higher at higher frequencies. This observation can be attributed to the effect of grating lobe reflections from the skin at higher frequencies, which serve to enhance the gain [16]. Therefore, these two positional distances were considered optimum for the placement of the antenna. The radiation efficiencies at 10 mm and 15 mm were found to range from 40% to 60% and from 60% to 80%, respectively, as shown in Fig. 5(c).

Table 3

Characteristics of tissues at different operating frequencies

Fig. 5

Variations of antenna parameters based on proximity to the phantom model: (a) |S₁₁|, (b) peak realized gain, and (c) radiation efficiency.

The SAR assesses the rate at which energy is absorbed by the body upon exposure to an RF electromagnetic field in biological systems and tissue models. To be safely used on the human body for wearable applications, the antenna’s SAR must not exceed 1.6 W/kg. The SAR values measured on 10 g of sample tissue with 0.5 W of input power at frequencies of 2.4 GHz, 2.9 GHz, 4.3 GHz, and 5.8 GHz were 0.3661, 0.4998, 0.1968, and 0.1683 W/kg, as shown in Fig. 6(a), 6(b), 6(c), and 6(d), respectively. Since the measured SAR values were less than the prescribed values, the antenna was considered safe for use in a wearable.

Fig. 6

SAR analysis at 2.4 GHz (a), 2.9 GHz (b), 4.3 GHz (c), and 5.8 GHz (d).

V. Results and Discussion

A compact, metamaterial-based, structured quad-band antenna intended for WLAN, ISM band (2.4 GHz and 5.8 GHz), and aeronautical and radio navigation applications is proposed in this study. The antenna exhibited sharp reflection coefficients for the first three bands and a wider bandwidth for the fourth band. Furthermore, the bands were restricted by the application of SRR, using which notches were deliberately created at 2.59 GHZ and 4.56 GHz to eliminate interference by mobile communication, as depicted in Fig. 7(a).

Fig. 7

Simulated and measured results of E-plane (left) and H-plane (right) at 2.4 GHz, 2.9 GHz, 4.3 GHz, and 5.8 GHz: (a) |S₁₁|, (b) peak realized gain, (c) efficiency (radiation, %), and (d) antenna patterns; (e) S-parameters measured using VNA.

The results show that the proposed antenna achieved a considerably high gain—averaging at 3 GHz, with the peak gain reaching 4.5 GHz—indicating that it is effective for near-field communications. Furthermore, as shown in Fig. 7(b), the gain is disrupted and negative at 2.59 GHZ and 4.56 GHz, which represent the notch bands. Moreover, the measured results closely resembled the simulated results, with slight discrepancies between the simulated and measured waveform readings caused primarily by measurement and fabrication errors.

The radiation efficiency remained stable, averaging at around 90%, except at the notch bands, where it reduced to 15% and 40%, as illustrated in Fig. 7(c).

The plots for radiation efficiency and gain verified the presence of notch bands. Notably, the antenna was evaluated using a vector network analyzer (VNA) in an anechoic room. Fig. 7(d) displays the radiation patterns (normalized, simulated, and measured) obtained at 2.4 GHz, 2.9 GHz, 4.3 GHz, and 5.8 GHz, while the S-parameters measured using the VNA are illustrated in Fig. 7(e).

The stability of the antenna was verified by closely examining the radiation pattern, the outcomes of which confirmed the antenna’s radiation properties. Table 4 presents an analytical comparison of the proposed antenna and those reported in recently published studies [4, 5, 7, 10–14, 17].

Table 4

Comparative analysis of the proposed work with recently published work

VI. Conclusion

A quad-band antenna is integral to WLAN, ISM band (2.4 GHz and 5.8 GHz), and aeronautical and radio navigation applications. In this regard, the antenna proposed in this study is found to be suitable for wearable applications because it allows transmission at both the biomedical application bands of 2.4 GHz and 5.8 GHz. Its suitability for WLAN, radio-location, and navigation applications is an added advantage. Furthermore, notch bands at 2.59 GHz and 4.56 GHz help to accurately reject the mobile communication band. In addition, owing to its metamaterial-inspired structure, an overall reduction of 51.58% was achieved for the patch size of the antenna. Overall, the proposed antenna is highly suitable for multiple-band operation in wearable applications.

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