# Wideband Patch Antenna with Shorting Vias

Authors: Xue Chen; Haipeng Dou
Journal: International Journal of Antennas and Propagation
 (2022)

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## Abstract

A novel patch antenna with three resonant modes is proposed for wideband applications. By introducing the ring slot on the circular patch, the TM02 mode of the smaller circular patch and the TM02 mode of the annular ring can be excited. Also, compared with the traditional circular patch with shorting vias, four components of shorting vias are distributed nonuniformly on the edge of the proposed patch antenna, which can generate another new resonance mode. By merging the three resonant modes, the impedance bandwidth of the antenna is expanded. Meanwhile, the gain of the antenna is enhanced in the wide operating band. The results illustrate that the antenna can operate in the 5.8 GHz ISM band. Its −10 dB impedance bandwidth is from 5.06 to 6.99 GHz, and the relative bandwidth reaches 32%. In addition, the maximum gain of 5.3 dBi is obtained at 6.7 GHz.


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## Body

## 1. Introduction

With the rapid development of the radio frequency communication technology, the microstrip patch antenna has been widely applied in satellite, radar, remote sensing, and other technical fields because of its simple structure and low cost. However, the conventional patch antennas often have very narrow impedance bandwidths less than 4% because of their single resonance radiation [1, 2]. In this case, many methods have been presented to excite multiple modes for bandwidth improvement of the patch antennas, such as loading parasitic patch [3, 4], etching slot on the patch [5, 6], and introducing shorting vias [7]. In Reference [3], multiple parasitic patches were introduced on the conventional triangular patch antenna, and two more resonances can be obtained. In Reference [4], by introducing four parasitic strips sequentially rotated around the original corner-truncated patch, the −10 dB impedance bandwidth of the antenna reached 630 MHz (24% relative bandwidth). In References [5, 6], ring slots were etched on the circular and square patch antennas, respectively. Two resonances were excited and the broader impedance bandwidths were achieved. In Reference [7], a circular patch antenna with a set of concentric shorting vias was presented, which had two resonances for the TM01 and TM02 modes.In addition, several methods were often used in the design of the wideband patch antenna simultaneously [8–10]. For instance, in References [8, 9], both the ring slots and shorting vias were introduced into the design of the circular patch antenna. More than three higher-order modes could be excited. Here, the shorting vias mentioned in these references [7–9] were distributed uniformly around the circular patch to excite the TM01 mode. In Reference [10], a ring slot and a series of shorting vias were introduced to merge the TM10 and TM11 modes excited by the triangular patch antenna.In this paper, a center-fed wideband patch antenna operating in 5.8 GHz ISM band is proposed. By etching the ring slot on the circular radiation patch, it is decomposed into a smaller circular patch and a coupled annular ring. The TM02 mode of the smaller circular patch and the TM02 mode of the annular ring can be excited. Then, these two modes are analyzed using the cavity model. Furthermore, some nonuniformly distributed shorting vias are introduced on the edge of the patch. Different from Reference [7–10], these shorting vias are employed to generate another new resonance mode rather than the TM01 mode, which effectively broadens the impedance bandwidth of the antenna. Meanwhile, the gain is enhanced. The measured results indicate that a wide −10 dB impedance bandwidth from 5.06 to 6.99 GHz is realized. Moreover, the gain of the antenna is larger than 3 dBi in this band, and the peak gain reaches 5.3 dBi.


## 2. Antenna Configuration

Figure1 shows the configuration of the proposed wideband patch antenna. It consists of a circular radiation patch, a ground plane, and a circular FR4-epoxy substrate (h = 3.2 mm, εr = 4.4, tanδ = 0.02). The circular radiation patch with a radius of r2 is printed on the top of the substrate, and the ground plane is on the other side. A narrow ring slot is etched on the patch, and the patch is decomposed into a smaller circular patch with a radius of a and a coupled annular ring with an inner radius of r1. Also, twelve shorting vias are loaded on the edge of the circular patch, and each three of them are distributed circumferentially along the ± x and ± y directions, respectively. The antenna is centrally fed by a coaxial probe. The optimized structural parameters of the proposed antenna are listed in Table 1.Figure 1
Configuration of the proposed wideband patch antenna.Table 1
Structural parameters of the antenna (unit: mm).
rr1r2arswdαh5017.42515.30.82.121.210°3.2


## 3. Improvement of the Antenna Bandwidth

In this section, the effect of the annular ring, the ring slot, and the shorting vias on the impedance bandwidth of the antenna is illustrated. Becauseh (the thickness of the substrate) is very small compared to the wavelength λ0 in free space, the cavity model can be used to analyze the resonant frequencies of the patch antenna. For the antenna only with smaller circular patch (without slot, annular ring, and shorting vias), the TM02 mode can be excited by the central feed. Considering the fringing effect at the open edge, the effective radius ae of the smaller circular patch can be obtained as follows [7, 11]:(1)ae=a1+2hπaεrlnπa2h+1.7726.The resonant frequency for the TM02 mode is [7](2)fcTM02=3.83171c2πaeεr,where c is the velocity of light. According to (1) and (2), ae is 16.16 mm and fcTM02 is 5.4 GHz.After the annular ring is introduced (with slot and without shorting vias), the TM02 mode of the annular ring is excited as well. The resonant frequency for this TM02 mode can be calculated by [11](3)frTM02=cχ2πr1εr,where χ is the root of the characteristic equation [11]. Considering the edge effect, the modified values of the inner and outer radii of the annular ring are given as follows [11]:(4)r1e=r1−34h,r2e=r2+34h.Then,χ and frTM02 are calculated by replacing r1 and r2 with r1e and r2e, respectively. The calculated χ and frTM02 are about 3.85 and 5.85 GHz, respectively.To verify the calculated results of the resonant modes above, Figure2 shows the simulated input impedance and |S11| of the antenna. In Figure 2(a), for the antenna only with smaller circular patch, it can be seen that the input impedance is about 23 + j0 Ohm at 5.78 GHz. As a result, the TM02 mode of the smaller circular patch is excited here, but the impedance matching is poor as shown in Figure 2(b) because of the strong electric field and the weak magnetic field at the center of the patch. After the annular ring is introduced, the input impedance of the antenna is stable around 50 + j0 Ohm in the range of 5–6 GHz and two resonances are excited at 5.4 and 6 GHz, corresponding to the TM02 mode of the smaller circular patch and the TM02 mode of the annular ring, respectively. This shows that the simulated results are in agreement with the calculated ones. Meanwhile, the −10 dB impedance bandwidth reaches 1.45 GHz (5.05–6.5 GHz) because these two adjacent resonant frequencies are close to each other.Figure 2
Simulated input impedance and |S11| without and with annular ring and shorting vias. (a) Input impedance. (b) |S11|.
(a)(b)When the shorting vias are also introduced, the third mode is excited at 6.8 GHz. The resonant frequency of this mode is higher than that of the TM02 mode of the annular ring and lower than that of its TM12 mode, which is different from the TM mode of the cylindrical cavity. By adjusting the position and number of the shorting vias, the resonant frequency of the third mode can be controlled and the three bands corresponding to these three modes can merge into a broadband. As shown in Figure 2(a), the input resistance around 6.8 GHz is increased to 50 Ohm after the shorting vias are introduced. This is because an additional equivalent resistance is loaded on the edge of the patch. Meanwhile, adjacent vias give rise to a parallel inductance, which results in a decrease of the input reactance at this frequency band. In this case, the input impedance of the antenna in the range of 6–7 GHz is also stable around 50 + j0 Ohm and a broadband from 5.05 to 6.97 GHz is achieved, as shown in Figure 2(b).In addition, the current distribution on the patch for these three modes is exhibited in Figure3. At 5.4 GHz, for the TM02 mode of the smaller circular patch, the current flows from the center of the patch to the inner side of the ring slot. At 6.2 GHz, for the TM02 mode of the annular ring, the current flows from the outer edge to inner edge of the annular ring. At 6.8 GHz, for the third mode, the current on the patch between two sets of adjacent shorting vias is almost homodromous (as the blue arrow shown). This means that the magnetic field in this region is continuous. On the contrary, the current around the shorting vias is reversed (as the black arrow shown), which indicates that the magnetic field in this region is discontinuous and some current passes through the shorting vias.Figure 3
The current distribution on the patch. (a) 5.4 GHz, (b) 6.2 GHz, and (c) 6.8 GHz.
(a)(b)(c)Next, the influence ofr1, w, and d, and the number of shorting via on the performance of antenna is studied. The results are shown in Figures 4–7. Figure 4 shows the |S11| of the proposed antenna for different r1. When r1 is 16.4 mm, the TM02 mode of annular ring is not excited and two separate bands corresponding to the center frequencies of 5.25 and 6.5 GHz are formed, respectively. Then, with the increase of r1, the resonant frequency for the third mode shifts up. When r1 is 17.4 mm, three adjacent bands at 5.4, 6.2, and 6.8 GHz merge into a whole one from 5.05 to 6.97 GHz. However, as r1 increases to 18.4 mm, the |S11| exceeds −10 dB at 6.5 GHz, and the TM02 mode of annular ring is lost again.Figure 4
|S11| of the proposed antenna for different r1.Figure 5
|S11| of the proposed antenna for different w.Figure 6
|S11| of the proposed antenna for different d.Figure 7
|S11| of the antenna for different numbers of vias.Figure5 shows the |S11| for different w. It can be seen that a narrow operating band of 5.34–6.87 GHz (|S11| < −10 dB) is obtained when w is 3.1 mm. Then, the resonant frequency for the TM02 mode of the smaller circular patch (the first resonance) shifts down with the decrease of w and the bandwidth is broadened. Nevertheless, when w decreases to 1.1 mm, the operating band is divided into two separate bands.Figure6 shows the |S11| for different d. It can be seen that when d is 22.2 mm, there is no third mode. With the decrease of d, this mode is excited and the bandwidth of the antenna is broadened. However, when d decreases to 20.2 mm, two separate bands are observed.Finally, Figure7 shows the |S11| for different numbers of shorting vias. It can be seen that the number of shorting vias has effect on both the TM02 mode of the smaller circular patch and the third mode. No matter one or five shorting vias are introduced along the ± x and ± y directions, only two resonances can be excited. For example, when a shorting via is introduced, the third mode cannot be excited and the antenna has an operating band of 5.01–6.52 GHz. When the number of the shorting vias increases to five, the resonance at 5.3 GHz for the TM02 mode of the smaller circular patch disappears and the third mode is excited at 6.8 GHz. The center frequency of the antenna shifts up to 6.23 GHz and the bandwidth is from 5.43 to 7.02 GHz. Only when three shorting vias are introduced, three resonances at 5.4, 6.2, and 6.8 GHz can be observed and the widest bandwidth is obtained. Overall, r1 = 17.4 mm, w  = 2.1 mm, and d = 21.2 mm, and three shorting vias are chosen and the −10 dB impedance bandwidth of the antenna is from 5.05 to 6.97 GHz.


## 4. Improvement of the Antenna Gain

The annular ring and the shorting vias also affect the gain of the proposed antenna, as shown in Figure8. For brevity, Figure 9 gives the electric field distribution in these three cases at 6.7 GHz in xoz plane. For the antenna only with the smaller circular patch, it is noticed that the gain is high at around 6 GHz and the maximum gain reaches 3.25 dBi. Nevertheless, with the decrease of the frequency, the gain decreases sharply. Also, the energy of the radiation field is mainly concentrated on the smaller circular patch as shown in Figure 9(a).Figure 8
Simulated gain of the antenna without and with annular ring and shorting vias.Figure 9
The electric field distribution of the antenna at 6.7 GHz inxoz plane. (a) Only with smaller circular patch, (b) with smaller circular patch and annular ring, and (c) the proposed antenna.
(a)(b)(c)After the annular ring is introduced, the gain in the range of 5–5.6 GHz is enhanced to 2.5 dBi. Meanwhile, in the range of 6–6.8 GHz, the gain is also enhanced. This is because that the energy in the inner side of the ring slot is coupled into the annular ring and the effective radiation aperture of the antenna is enlarged, as shown in Figure9(b). When the shorting vias are also introduced, the gain is enhanced obviously in the band of 5.5–7 GHz and a peak gain of 5.4 dBi appears at 6.7 GHz. This is because the input impedance of the antenna gets matched in this band after the shorting vias are introduced (as shown in Figure 2(a)), which results in a decrease in the reflected energy of the antenna and an increase in the radiated energy, as shown in Figure 9(c). Thus, the gain is improved.


## 5. Simulated and Measured Results

To validate the simulated results, a prototype of the antenna with the optimized parameters is fabricated and measured. Figure10 shows its photographs, and the measured results are shown in Figures 11–14. Figure 11 shows the |S11| of the proposed antenna. The measured impedance bandwidth (|S11|<−10 dB) is 32% (5.06–6.99 GHz), which is in agreement with the simulated one.Figure 10
Photos of the proposed antenna. (a) The top view. (b) The bottom view.
(a)(b)Figure 11
Simulated and measured |S11| of the proposed antenna.Figure 12
Simulated and measured radiation patterns at 5.4 GHz. (a)φ = 0° (x-z plane). (b) θ = 50°.
(a)(b)Figure 13
Simulated and measured radiation patterns at 6.2 GHz. (a)φ = 0° (x-z plane). (b) θ = 50°.
(a)(b)Figure 14
Simulated and measured radiation patterns at 6.8 GHz. (a)φ = 0° (x-z plane). (b) θ = 50°.
(a)(b)Figures12–14 show the normalized radiation patterns at 5.4, 6.2, and 6.8 GHz, respectively. A good agreement between the simulated and measured results is achieved. It can be seen that the conical-beam radiation patterns are observed in the elevation (φ = 0°) plane. The maximum radiation is at the angles of θ = 50° and 310°. At these three frequencies, the half-power beamwidths of the antenna are 70°, 40°, and 50°, respectively. This indicates that the radiation gains variation against these angles of θ are almost identical. In the azimuth plane of θ = 50°, the omnidirectional radiation characteristics are achieved at 5.4 and 6.2 GHz. However, at 6.8 GHz, the antenna has the larger radiation at the angles of φ = 0°, 90°, 180°, and 270° due to the introduction of the shorting vias along the ± x and ± y directions. Moreover, the cross-polarization radiation in the azimuth plane is larger than that in elevation plane. Nevertheless, it is still less than −15 dB. In addition, the similar radiation patterns have also been obtained in the other azimuth planes of θ = 20°–70°. Therefore, they are not included here.Figure15 shows the gain of the antenna. The measured gain is stable and larger than 4 dBi in the range of 6–7 GHz. The peak gain of 5.3 dBi is obtained at 6.7 GHz. It also can be seen that the gain in the band of 5–6 GHz is lower. This is because the proposed antenna has a wider half-power beamwidth (θ = 20°–70°) in this band. Also, in the azimuth planes of θ = 20°–70°, the radiation for all the φ is nearly equal, which results in a wider radiation range and a lower gain in this band. Moreover, the measured efficiency of the antenna is also shown in Figure 15, which varies between 65% and 88% in the band of 5.06–6.99 GHz.Figure 15
Gain and efficiency of the antenna.Finally, the related wideband patch antennas are listed in Table2. These antennas that use the slot and shorting vias to improve the bandwidth all have larger sizes. However, compared with these designs in References [5–10], a new method of loading nonuniformly distributed shorting vias is used to excite another resonance to broaden the bandwidth, and the proposed patch antenna has the widest impedance bandwidth (except the one in Reference [6], which has a higher profile).Table 2
Comparison of the wideband patch antennas.
Electrical dimensionCenter frequency (GHz)Relative bandwidth (%)Shape of patchMethod of improving bandwidthReference [5]2.9λ0 × 2.9λ0 × 0.029λ05.812.8CircleSlotReference [6]1.12λ0 × 1.12λ0 × 0.09λ03.3770SquareSlot and shorting wallReference [7]1.35λ0 × 1.35λ0 × 0.024λ02.2618CircleShorting viasReference [8]2.34λ0 × 2.34λ0 × 0.029λ05.8527.4CircleSlot and shorting viasReference [9]1.05λ0 × 1.05λ0 × 0.048λ02.4211.2CircleSlot and shorting viasReference [10]1.48λ0 × 1.48λ0 × 0.03λ04.58.9TriangleSlot and shorting viasThis work2λ0 × 2λ0 × 0.064λ06.0332CircleSlot and shorting viasλ0, wavelength at the center frequency.


## 6. Conclusion

In this paper, a wideband patch antenna with ring slot and nonuniformly distributed shorting vias is proposed. The ring slot is utilized to simultaneously excite the TM02 mode of the smaller circular patch and the TM02 mode of the annular ring. Meanwhile, the nonuniformly distributed shorting vias is introduced to generate the third resonance mode. A wider bandwidth can be achieved by coupling three modes. The results show that this antenna has a broad bandwidth of 5.06–6.99 GHz and its maximum gain reaches 5.3 dBi. It is compact and can be applied to the 5.8 GHz ISM band.



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*Source: 2578409-2022-04-01.xml*