# A Low-Profile Broadband Circularly Polarized Metasurface Antenna Aperture Coupled by Shorted Annular-Ring Slot

Authors: Shuangbing Liu; Lixia Yang; Qian Chen; Xianliang Wu
Journal: International Journal of Antennas and Propagation
 (2022)

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## Abstract

A low-profile (LP) metasurface antenna is proposed for broadband circularly polarized (CP) operations. The metasurface radiator, formed by a 5 × 5 array of square patches, has a microstrip line fed at its bottom through a shorted annular-ring slot centered on the ground plane. First, the characteristic mode analysis (CMA) methodology is employed to examine the intrinsic modes of the metasurface. Subsequently, a pair of mutually orthogonal modes is selected and excited by the feeding structure with a 90° phase difference to produce CP radiation. For the purpose of verification, a prototype antenna is developed, and the obtained data reveal that the antenna exhibits an impedance bandwidth of 43.9% ranging from 4.8 to 7.5 GHz (S11<−10 dB). The 3-dB axial ratio bandwidth is 22.2% in the range of 5.6–7 GHz, among which a satisfactory left-handed CP radiation is achieved, and the maximum gain in the broadside direction reaches 9.3 dBic at 6.9 GHz.


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## Body

## 1. Introduction

The circularly polarized (CP) antenna is broadly exploited in numerous communication systems due to the advantages of reducing the multipath effects as well as reducing polarization alignment between the receiver and the transmitter. The CP slot antennas are of considerable application in the present and future wideband wireless systems owing to their low profile (LP), low cost, easy integration, and wide impedance bandwidth. Various shaped slot antennas with wide 3-dB axial ratio (AR) bandwidth have been proposed in the literature, such as combined dual-square-ring-shaped slot antennas [1], and slot antennas loaded by multiple-circular-sector patches [2]. The CP radiation can also be attained by introducing a shorted section to a proper position along with the ring slot. The 3-dB AR bandwidths of about 8.4 and 8.1% have been obtained in order for annular and square slot antennas [3]. The antenna gains within the CP bandwidth for both types are about 4.0–5.6 dBic. In [4], two concentric shorted annular-ring slots are exploited to design dual-band CP antennas such that the 3-dB AR bandwidth for the upper (lower) band is 3% (1.5%). In addition, the shorted ring slots were exploited to excite the dielectric resonator antenna (DRA) with circular polarization [5, 6]. However, their main drawback was narrow AR bandwidth.Recently, the metasurface has been employed in several novel antennas for AR bandwidth expansion and gain enhancement. In some antenna configurations, the metasurface is utilized as a reflector or a surface wave converter placed beneath the radiator [7–9], achieving broad CP bandwidth while complicating antenna structure. On the other hand, the metasurface is stacked directly on the radiator, thus retaining LP properties and providing wide AR bandwidths [10–13]. According to the research work in [10], a circularly polarized corner truncated square patch antenna using a metasurface exhibited an AR bandwidth of 23.4% and an LP of 0.056λ0. An H-shaped patch array (4 × 4) metasurface demonstrates a CP bandwidth of 14.3% and a profile of 0.071λ0 [11]. In order to enhance the radiation gain, an air layer [14] or a foam substrate [15] was placed between the metasurface and the feed structure. Nevertheless, this strategy leads to an increase in the profile height and the structural complexity of the antenna.In the present paper, a CP metasurface antenna with LP is presented. A metasurface containing 5 × 5 square metal patches is implemented to improve the bandwidth and radiation gain. The modal current and the radiation properties of the designed metasurface are observed based on the CMA [16–18]. Two orthogonal modes are chosen as working modes to generate circularly polarized radiation. A single-feed structure composed of a microstrip line and a shorted annular-ring slot is applied to excite both orthogonal modes with a relative phase difference (PD) of 90°. The simulated and measured data are employed to validate the broadband CP and high-gain radiation effects of the developed antenna.


## 2. Configuration of the Antenna

The geometrical and structural dimensions of the developed antenna in order are presented in Figure1 and Table 1. The antenna contains two different dielectric substrates. As demonstrated in Figure 1(a), a metasurface composed of a 5 × 5 array of square patches is deposed on the upper substrate with a dielectric constant of 3.5 and thickness h2 = 2 mm. The feeding microstrip line is labeled on the bottom surface of the upper substrate with a dielectric constant of 4.4 and thickness h1= 0.8 mm. The ground metal plane with a shorted annular-ring slot is sandwiched between the two substrates (see Figure 1(b)). The ground plane is in direct contact with the two substrates to realize the LP characteristics, as demonstrated in Figure 1(d). So far as a single-feed annular slot antenna is concerned, the shorted section can be deemed as a perturbation segment, and the antenna can produce satisfactory CP radiation while the parameters (α1, α2) of the shorted section are properly determined.Figure 1
The configuration of antenna structure: (a) metasurface, (b) ground metal plane, (c) microstrip line, and (d) side view of the antenna.
(a)(b)(c)(d)Table 1
The geometry data of the proposed antenna.
a (mm)gp (mm)r1 (mm)r2 (mm)l1 (mm)wα1α2500.5 mm7.34.65.6251.5 mm45°14°


## 3. Operating Mechanisms

### 3.1. Characteristic Mode Analysis of the Metasurface

In order to realize the operating mechanisms of the developed metasurface antenna, the intrinsic characteristic modes generated from the metasurface are explored by applying the CMA. The substrates and ground plane are assumed to be infinite. The PEC boundaries are set along thez-direction, and the open boundaries in other five directions have been shown in Figure 2. The metasurface patches are meshed to solve the electrical currents.Figure 2
A simulation model of the metasurface and boundary setup.The characteristic mode analysis of the metasurface is carried out from 4 to 8 GHz firstly. The first four characteristic modes are chosen to analyze the modes of the antenna, while the higher order modes can hardly be excited at these frequencies as their modal significance is quite low. Figure3 displays the modal significance and the characteristic angle of the four characteristic modes. The characteristic mode theory is described in detail in [19]. It can be concluded that the nearer the modal significance is to the maximum value of one or the characteristic angle is to 180°, the more effectively the associated mode contributes to radiation. Notably, J1 and J1′ are a pair of modes resonating at 7.1 GHz with the same modal significance. The remaining two modes (i.e., J2 and J3) demonstrate similar resonant frequencies and share the same trends of variations against frequencies.Figure 3
(a) The modal significance and (b) the characteristic angle of the proposed metasurface.
(a)(b)Figures4(a)–4(d) present the corresponding modal electric currents at 6.8 GHz, where the black arrow shows the current direction. As can be seen from Figures 4(a) and 4(b), J1 and J1′ are in phase throughout the whole metasurface and polarize in the x- and y-directions, respectively. Because of the metasurface symmetry, J1 and J1′ represent a pair of orthogonal modes, and both of them radiate in the +z-direction (see Figures 5(a) and 5(b)). The currents J2 and J3 are self-symmetric along the x-axis and y-axis, respectively. This will lead to a radiation null at boresight (see Figures 5(c) and 5(d)). Consequently, J1 and J1′ indicate the desired modes for the broadside radiation. A circular polarization is also detectable by exciting both orthogonal modes with a PD of 90° simultaneously.Figure 4
Schematic representations of the modal currents of the developed metasurface at 6.8 GHz. (a)J1 (b) J1′ (c) J2 (d) J3.
(a)(b)(c)(d)Figure 5
The modal radiation patterns of the proposed metasurface at 6.8 GHz. (a)J1 (b) J1′ (c) J2 (d) J3.
(a)(b)(c)(d)


### 3.2. Feeding Network Design

To retrieve circularly polarization radiation,J1 and J1′ with a PD of 90° were simultaneously excited via an adaptive feed network. Figure 3 displays that the currents J1 and J1′ are evenly distributed on the whole patches of the metasurface for the central patch, and the current density is mostly distributed at the edge of the patch. For J2 and J3, the current distribution is completely different, and the current distribution on the central unit is very weak. In view of these current distribution characteristics, the feed structure is placed at the metasurface’s center patch. Therefore, J1 and J1′ can be effectively excited, whereas J2 and J3 are suppressed. To satisfy these conditions, a single-feed network combined with a shorted annular-ring slot and a microstrip line for exciting the antenna are employed (Figures 1(b) and 1(c)).In order to illustrate the operating mechanisms of CP radiation, the surface current distribution of the metasurface is examined. The currents are estimated for two AR points (5.8 and 6.8 GHz) of the 5 × 5 cell configuration and given in Figure6. As demonstrated in Figure 6(a), the currents flow in the x- and y-directions in order at the phases of 0° and 90°. As illustrated in Figure 6(b), at the phases of 0° and 90°, the dominant current discharges in the x- and y-directions, respectively. It is demonstrated that both orthogonal modes with a PD of 90° are excited to realize the left-handed (LH) CP radiation for each AR point. In addition, the maximum currents occur on the metal plates located in the metasurface center at 5.8 GHz, while the maximum current occurs on all the constituent metasurface plates at 6.8 GHz. It implies that the current on the metasurface is stronger at 6.8 GHz than at 5.8 GHz. These results imply that the AR point at 6.8 GHz is chiefly attributed to the metasurface, while that at 5.8 GHz is produced by the shorted annular-ring slot.Figure 6
The current distributions on the metasurface for various phase angles: (a) 5.8 GHz and (b) 6.8 GHz.
(a)(b)


### 3.3. Effect of Spacing between Elements of the Metasurface

A parametric study was carried out on variation of edge-to-edge spacing of metasurface elements. Figure7(a) shows the S-parameters versus frequency for different spacing g. It is clear that there are two resonant frequencies within the impedance bandwidth for each spacing g. The operating frequency shift towards higher frequency as the spacing is increased. Figure 7(b) shows the AR versus frequency for different spacing g. It is observed that there are two AR minimum points for each spacing g. The left one shift towards higher frequency as the spacing is increased, and the right one keeps at 6.8 GHz. An optimized value of the spacing must therefore be selected to obtain the desired AR bandwidth.Figure 7
(a)S11 and (b) AR versus frequency for different spacing g.
(a)(b)


## 3.1. Characteristic Mode Analysis of the Metasurface

In order to realize the operating mechanisms of the developed metasurface antenna, the intrinsic characteristic modes generated from the metasurface are explored by applying the CMA. The substrates and ground plane are assumed to be infinite. The PEC boundaries are set along thez-direction, and the open boundaries in other five directions have been shown in Figure 2. The metasurface patches are meshed to solve the electrical currents.Figure 2
A simulation model of the metasurface and boundary setup.The characteristic mode analysis of the metasurface is carried out from 4 to 8 GHz firstly. The first four characteristic modes are chosen to analyze the modes of the antenna, while the higher order modes can hardly be excited at these frequencies as their modal significance is quite low. Figure3 displays the modal significance and the characteristic angle of the four characteristic modes. The characteristic mode theory is described in detail in [19]. It can be concluded that the nearer the modal significance is to the maximum value of one or the characteristic angle is to 180°, the more effectively the associated mode contributes to radiation. Notably, J1 and J1′ are a pair of modes resonating at 7.1 GHz with the same modal significance. The remaining two modes (i.e., J2 and J3) demonstrate similar resonant frequencies and share the same trends of variations against frequencies.Figure 3
(a) The modal significance and (b) the characteristic angle of the proposed metasurface.
(a)(b)Figures4(a)–4(d) present the corresponding modal electric currents at 6.8 GHz, where the black arrow shows the current direction. As can be seen from Figures 4(a) and 4(b), J1 and J1′ are in phase throughout the whole metasurface and polarize in the x- and y-directions, respectively. Because of the metasurface symmetry, J1 and J1′ represent a pair of orthogonal modes, and both of them radiate in the +z-direction (see Figures 5(a) and 5(b)). The currents J2 and J3 are self-symmetric along the x-axis and y-axis, respectively. This will lead to a radiation null at boresight (see Figures 5(c) and 5(d)). Consequently, J1 and J1′ indicate the desired modes for the broadside radiation. A circular polarization is also detectable by exciting both orthogonal modes with a PD of 90° simultaneously.Figure 4
Schematic representations of the modal currents of the developed metasurface at 6.8 GHz. (a)J1 (b) J1′ (c) J2 (d) J3.
(a)(b)(c)(d)Figure 5
The modal radiation patterns of the proposed metasurface at 6.8 GHz. (a)J1 (b) J1′ (c) J2 (d) J3.
(a)(b)(c)(d)


## 3.2. Feeding Network Design

To retrieve circularly polarization radiation,J1 and J1′ with a PD of 90° were simultaneously excited via an adaptive feed network. Figure 3 displays that the currents J1 and J1′ are evenly distributed on the whole patches of the metasurface for the central patch, and the current density is mostly distributed at the edge of the patch. For J2 and J3, the current distribution is completely different, and the current distribution on the central unit is very weak. In view of these current distribution characteristics, the feed structure is placed at the metasurface’s center patch. Therefore, J1 and J1′ can be effectively excited, whereas J2 and J3 are suppressed. To satisfy these conditions, a single-feed network combined with a shorted annular-ring slot and a microstrip line for exciting the antenna are employed (Figures 1(b) and 1(c)).In order to illustrate the operating mechanisms of CP radiation, the surface current distribution of the metasurface is examined. The currents are estimated for two AR points (5.8 and 6.8 GHz) of the 5 × 5 cell configuration and given in Figure6. As demonstrated in Figure 6(a), the currents flow in the x- and y-directions in order at the phases of 0° and 90°. As illustrated in Figure 6(b), at the phases of 0° and 90°, the dominant current discharges in the x- and y-directions, respectively. It is demonstrated that both orthogonal modes with a PD of 90° are excited to realize the left-handed (LH) CP radiation for each AR point. In addition, the maximum currents occur on the metal plates located in the metasurface center at 5.8 GHz, while the maximum current occurs on all the constituent metasurface plates at 6.8 GHz. It implies that the current on the metasurface is stronger at 6.8 GHz than at 5.8 GHz. These results imply that the AR point at 6.8 GHz is chiefly attributed to the metasurface, while that at 5.8 GHz is produced by the shorted annular-ring slot.Figure 6
The current distributions on the metasurface for various phase angles: (a) 5.8 GHz and (b) 6.8 GHz.
(a)(b)


## 3.3. Effect of Spacing between Elements of the Metasurface

A parametric study was carried out on variation of edge-to-edge spacing of metasurface elements. Figure7(a) shows the S-parameters versus frequency for different spacing g. It is clear that there are two resonant frequencies within the impedance bandwidth for each spacing g. The operating frequency shift towards higher frequency as the spacing is increased. Figure 7(b) shows the AR versus frequency for different spacing g. It is observed that there are two AR minimum points for each spacing g. The left one shift towards higher frequency as the spacing is increased, and the right one keeps at 6.8 GHz. An optimized value of the spacing must therefore be selected to obtain the desired AR bandwidth.Figure 7
(a)S11 and (b) AR versus frequency for different spacing g.
(a)(b)


## 4. Results and Discussion

In order to verify the analysis above, one prototype is fabricated, as shown in Figure8. The bottom and top views of the antenna are presented in the right and left images, respectively. The S-parameters are evaluated using an Agilent E5071C network analyzer. Figure 9 presents the measured and simulated S-parameters varying in terms of the frequency. The measured −10 dB S11 bandwidth is a little wider than the simulated results, which is 43.9% at the center frequency of 6.15 GHz (4.8–7.5 GHz). There are a few discrepancies between these two results but share a similar variation as a function of the frequency. Such divergence can be caused by the fabrication tolerance, including the adhesive glue and small distance between PCBs.Figure 8
The photographs of the proposed antenna for various views; left: top view; right: bottom view.Figure 9
The measured/simulated reflection coefficients.Figure10(a) shows the comparison between the simulated and measured ARs and antenna gains. The obtained findings demonstrate that the developed antenna has an AR bandwidth of 22.2% (5.6–7.0 GHz), while the simulated coverage is in the range of 5.6 to 6.9 GHz (20.8%). The measurements show the ARs of 0.30 and 0.86 dB at 6.8 and 5.8 GHz, respectively. There is only a slight discrepancy between the measured and simulated ARs. The minimum AR point at 5.8 GHz is mainly caused by the shorted annular-ring slot antenna, and the higher one at 6.8 GHz is generated by the metasurface, resulting in broadband circularly polarized radiation. As shown in Figure 11, the measured boresight gains are more than 7.4 dBic within the CP radiation bandwidth, yielding the highest gain of 9.3 dBic at 6.9 GHz. The gain increment of the antenna with the increasing frequency (5.6–6.9 GHz) and high gain performance are attributed to the effective excitation of the orthogonal modes. As shown in Figure 10(b), the simulation and the measurement radiation efficiency are both higher than 87% throughout the 3-dB AR bandwidth.Figure 10
The measured/simulated (a) gain and ARs and (b) radiation efficiency.
(a)(b)Figure 11
The measured and simulated radiation patterns of the antenna at: (a) 5.8 GHz and (b) 6.8 GHz.
(a)(b)The simulated and measured far-field radiation patterns of the antenna at 5.8 and 6.8 GHz have been plotted in Figure11. The antenna produces stable and symmetrically unidirectional boresight radiation patterns with LH CP radiation. No obvious difference is observed between the simulated and measured radiation patterns. At both frequency points, the LH CP radiation is higher than the right-hand CP radiation. At the frequency of 5.8 GHz, the measurement yields a front-to-back ratio of 19.5 dB, a gain of 7.52 dBic, and a half-power beamwidth (HPBW) of 68° in both xoz and yoz planes. Furthermore, at the frequency of 6.8 GHz, the measurement yields a gain of 9.20 dBic, a front-to-back ratio of 35.8 dB, and a HPBW of 48° in both xoz and yoz planes.Table2 indicates the comparison between the results of the developed antenna and other CP metasurface antennas. Compared with [10, 12, 23], the developed antenna exhibits the highest gain. On the other hand, the developed antenna has a broader 3-dB AR bandwidth but is still lower than that of the antenna studied in [10]. Generally, the designed antenna exhibits a satisfactory overall performance, including wide bandwidth, high gain, and LP.Table 2
Comparison of the developed antenna with other studied antennas.
RefSize (λ3)Frequency (GHz)Impedance3-dBPeak gain (dBic)Bandwidth (%)ARBW (%)[10]0.58 × 0.58 × 0.0565.545.623.47.6[11]1.4 × 1.4 × 0.0715.638.814.39.4[12]0.93 × 0.93 × 0.0241.511714.58.0[13]1.0 × 1.0 × 0.075.528.220.99.7[20]1.1 × 1.1 × 0.09326.834.720.111[21]1.0 × 1.0 × 0.0427.323.416.811[22]0.86 × 0.67 × 0.135.622.614.34.8[23]0.94 × 0.94 × 0.065.940.727.17.2[24]0.822 × 1.18 × 0.064.03628.37.5This work1.05 × 1.05 × 0.0596.343.922.29.3


## 5. Conclusions

A single-feed, high gain, LP, and broadband CP metasurface antenna was presented. The modal behavior of the metasurface (5 × 5 metal plates) was investigated by the CMA. In the meantime, a feeding structure contained a microstrip line, and a shorted annular-ring slot was utilized to excite the desired orthogonal modes. They produced a PD of 90° between them, leading to a circularly polarized radiation. For the sake of verification, a prototype antenna was also designed and tested. The prototype, 1.05λ0 × 1.05λ0 × 0.059λ0 at 6.3 GHz, attains an impedance bandwidth of 43.9% for |S11| < −10 dB, a broadside gain of 7.4–9.3 dBic, and a 3-dB AR bandwidth of 22.2%. The developed antenna exhibited unique properties of the LP, appropriate impedance similarity, broad CP-radiation bandwidths, and high gain.



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*Source: 8517646-2022-08-10.xml*