# Bandwidth Enhancement of Microstrip Patch Antenna Using Complementary Rhombus Resonator

Authors: Lei Tao; Jianchun Xu; Haihong Li; Yanan Hao; Shanguo Huang; Ming Lei; Ke Bi
Journal: Wireless Communications and Mobile Computing
 (2018)

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## Abstract

By using complementary rhombus resonator (CRR), a small-size and low-profile microstrip patch antenna (MPA) with broad bandwidth has been proposed. Parametric studies were conducted to illustrate the working principle of the proposed antenna. An additional resonance is introduced by the CRR to broaden the bandwidth. Compared with the MPA without the CRR, the bandwidth of the proposed antenna is increased by 200%. The measured results are in good agreements with the simulated ones, which demonstrate that this design provides a way to obtain the broadband antenna.


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## Body

## 1. Introduction

Nowadays, with the rapid development of microwave technology, there is a growing demand on the bandwidth [1–5]. Microstrip patch antenna (MPA) is more capable than other antennas due to its small size, easiness of integration, light weight, and low profile, which can be used in the field of radar technology, space science, biomedical research, and wireless communication systems [6, 7]. However, compared with conventional microwave antennas, MPAs also have some limitations such as low gain, large ohmic loss in the array, and radiation of energy mostly to half space. Among them, the narrow bandwidth is the main drawback that hinders MPAs from practical application.During the past years, numerous methods have been proposed to enhance the bandwidth of MPAs, such as increasing the thickness of the substrate [8, 9], decreasing the substrate dielectric constant [10, 11], loading chip resistor [12], using parasitic patches in single layer and multilayers configuration [13–15], employing electromagnetic band gap structures [16–19], and using backed edge-fed cavity [20, 21]. However, most of these MPAs are made by adding additional structure so that their structures become more complex. Recently, complementary structures have been applied successfully in the design of various microwave devices [22–26]. Yooet al. [27] studied a waveguide-fed metasurface antennas loaded with complementary metamaterial element and realized a low-loss and high radiation power properties. Chenget al. [28] fabricated a self-packaged folded patch antenna loaded with a complementary split-ring resonator and obtained a 74% size reduction. The complementary structure provides a way to design the integrated devices with desired properties.In this work, a MPA loaded with CRR is designed and fabricated for bandwidth enhancement. The CRR unit cell can resonate with the electromagnetic wave and significantly improve bandwidth performance of the MPA. The measured results are in concordance with the simulated ones, which manifest that the proposed antenna can be a good candidate for practical wideband applications.


## 2. Structure and Principle

Figure1 shows the schematic diagram of the CRR-based MPA. It is fabricated on ana×b (40 × 49 mm2) FR4 substrate with a thickness of 1.0 mm and a relative permittivity of 2.65. The thickness of the copper layers is 0.035 mm. The top layer of the proposed antenna consists of a rectangular patch with a small size ofw×l and two different-width feedlines. The widths of the feedlines arewf1 andwf2, which are designed to achieve a 50 Ω impedance matching. The CRR with the side length of s and included angle ofθ is etched in the ground plane. The slit width of the CRR is 1 mm. The d is the distance between the center of the CRR and the edge of the substrate. It is clearly seen that the CRR is deposited underneath the feedline, which is employed as a portion of combination with a microstrip line to make new resonance to achieve high magnetic coupling.Figure 1
Schematic diagram of the CRR-based antenna. (a) Top and bottom views. (b) Three-dimensional view.
(a) (b)In order to observe the influence of the CRR unit cell on antenna performance, the return losses of the MPA without and with the CRR were investigated using the software CST Microwave Studio, as shown in Figure2. It can be seen that, for the MPA without the CRR, only two resonant modes are excited at 5.8 GHz and 6.65 GHz, respectively, with good impedance matching. For the MPA with the CRR, however, additional resonant mode at about 6.3 GHz is excited due to the mutual coupling of the MPA and the CRR. These three frequencies are close to each other and combined to form a broadband, thus increasing the bandwidth of the antenna. The simulated impedance bandwidths below -10 dB without the CRR are 0.2 GHz (5.75-5.95 GHz) and 0.13 GHz (6.58 - 6.71 GHz). While adding the CRR, the bandwidth turns to 0.99 GHz (5.77-6.76 GHz). It can be inferred that the combination of the MPA and the CRR can lead to bandwidth enhancement.Figure 2
Simulated return loss of the proposed antenna with and without the CRR.To understand the underlying physics of the CRR-based MPA, the electromagnetic properties of the CRR unit cell were studied. Figure3(a) shows the transmission and reflection spectra of the CRR. The inset shows the schematic diagram of the CRR unit cell structure. It is composed of one FR4 substrate and one copper layer. The CRR is etched in the center of the copper layer. The propagation of the incident electromagnetic wave is set along the y axis, and the electric field and magnetic field are set along the z and x axes, respectively. It can be seen that a resonance is obtained at 5.02 GHz. In order to further demonstrate the resonance phenomenon, the phase spectra of the CRR is shown in Figure 3(b). At 5.02 GHz, the transmission phase falls to its minimum and the maximum variation of phase is larger than 300°, illustrating that there exists a strong phase shifting effect, which further proves that a frequency response appears at 5.02 GHz.Figure 3
(a) Transmission and reflection spectra of the CRR. (b) Phase spectra of the CRR. The inset shows the schematic diagram of the CRR.
(a) (b)In order to further analyse the working principle of CRR, we observed the electric field and current distribution of CRR at 5.02 GHz as shown in Figure4. From Figure 4(a), it is observed that the electric field is mainly concentrated around the upper and lower vertex regions of the CRR. Meanwhile, the electric field distribution at the left and right vertex regions of the CRR is very sparse. It indicates that the electric field mainly spreads along the upper and lower directions of the CRR, which is responsible for radiating power into free space. Figure 4(b) shows the current distribution of the CRR. The currents are centralized at the left and right vertex regions, which are induced by the magnetic-fields. In addition, we can observe that the included angle of the CRR has an impact on the distribution of currents. Based on the above analysis, we find that the unit cell structure is conducive to radiate energy at resonant frequency. Therefore, the CRR can be used to enhance the bandwidth of the antenna.Figure 4
(a) Electric field distribution and (b) current distribution of the CRR.
(a) (b)


## 3. Results and Discussion

Figure5 shows the simulated return loss of the proposed antenna with a series ofd,θ, l,andw. In the process of observing the influence of parameters, only one parameter is changed, and the other parameters are kept the same. As shown in Figure 5(a), it is observed that as d increases from 21.4 mm to 22.0 mm, the first frequency and the third frequency increase slightly. The second resonant frequency shifts to the lower part, which illustrates that the second frequency is related to the position of CRR. Since the currents on the ground are mainly concentrated below the feedlines and the radiating patch, different positions of the CRR may affect the current distribution on the ground, thus affecting the coupling between the radiating patch and the CRR, which in turn affect the resonant frequency. Figure 5(b) shows that as the included angleθof the CRR decreases from 48.4° to 43.6° with an increment of 1.6°, the second resonant frequency becomes smaller. However, there are no apparent influences on the first frequency and the third frequency. It is inferred that the variation of the included angle can affect the current distribution on the ground, thus affecting the second frequency. Figure 5(c) demonstrates that when the length l of the radiating patch increases from 14.5 mm to 14.8 mm, the first resonant frequency moves to the lower frequency. In the meantime, the second frequency and the third frequency remain almost unchanged. As displayed in Figure 5(d), it can be observed that when the widthw of the radiating patch increases from 25.0 mm to 26.5 mm, the third resonant frequency becomes smaller, and the first frequency and the second frequency do not change. After analysing the above parameters of the proposed antenna, the antenna design process is summarized: the first resonant frequency is controlled by the length l of the radiating patch, and the second resonant frequency is controlled by the distance d and the included angleθof the CRR. The third frequency is controlled by the widthw of the radiating patch. The final optimized parameters are as follows:w = 25 mm,l = 14.5 mm,wf1 = 1.6 mm,wf2 = 3.2 mm,s = 12 mm,θ = 43°, andd = 24.5 mm. In the meantime, the maximum impedance bandwidth below -10 dB of the proposed antenna is 1.1 GHz.Figure 5
Simulated return loss of the proposed antenna with a series of (a)d, (b)θ, (c)l, and (d)w.
(a) (b) (c) (d)In order to figure out if there exists any numerical function that can describe the relationship between the antenna parameters and the return loss, the following research was carried out. First of all, the resonance modes of the antenna without CRR were studied. According to cavity theory, the radiation patch and the ground can be considered as a resonant cavity. The upper and bottom layers are PEC with a small size ofl ×w, and the back and forth and left and right parts of the resonant cavity are PMC with a height of h. Since h is much smaller than l andw, the influence of h can be neglected. Resonant energy is supplied to the resonator through the feedline. Based on the above analysis, the inherent resonant frequency of the patch antenna operating in multiple modes is given by the following equation:(1)fmn=c2εeml2+nw2wherem,n are nonnegative integers,c is speed of light in vacuum, εe is equivalent dielectric constant of the substrate, andl andw are the length and width of the patch, respectively. Since the thickness of the dielectric layer and the diffracted electromagnetic fields at the edges are ignored, (1) can be used for approximate predictions. The electric field between the parallel metal layers is along the z axis and is cosine distributed in the x and y axes. While m represents the number of half standing wave distributions in the y direction,n represents the number of half standing wave distributions in the x direction. The electric field distribution is carefully observed in Figure 6. We can conclude that the antenna without CRR works at TM 10 mode and TM 02 mode corresponding to 5.88 GHz and 6.65 GHz, respectively.Figure 6
The electric field distribution of the antenna without CRR at (a) 5.88 GHz and (b) 6.65 GHz.
(a) (b)The new frequency is generated from the coupling between the radiating patch and the CRR that the resonant energy comes from the radiating patch. By carefully observing the CRR current distribution at resonance frequency, it is easy to find out that the current of the CRR acts the same as the current in the resonant cavity. The top and bottom of the CRR are cavity walls. Thus the length of cavity is 2×s. According to cavity resonance theory, the condition for forming a standing wave is given by the following equation:(2)L=mλ2where L is the length of the cavity,m is nonzero integer. Thus the new frequency which is related to the length of the CRR can be expressed by(3)f=v4nswhere v is speed of light in medium,n is the refractive index, ands is the side length of the CRR. From (3), the resonant frequency decreases as the side length of the CRR increases. The comparison of simulated results and theoretical calculated values from (3) is depicted in Figure 7. We can see that the simulated results are in good agreement with that predicted by (3), which fully proves the feasibility of the formula.Figure 7
Simulated and theoretical relationships betweens and the new resonant frequency.In order to verify the simulated results, a pair of MPAs without and with the CRR were fabricated, measured, and compared. Figures8(a) and 8(b) show the fabricated antenna without and with the CRR. As plotted in Figure 8(c), the measured bandwidth of the MPA with the CRR is 230% larger than that of the MPA without the CRR. Figure 8(d) shows the simulated and measured return losses of the MPA with the CRR. Good agreement can be observed. It also can be found that the curve of the measured return loss shows a little shifting compared with the curve of the simulated one. Measurement imperfections and expected variations of FR4 permittivity can result in the small discrepancy.Figure 8
Fabricated antenna (a) without and (b) with the CRR. (c) Measured return losses of the fabricated antenna with and without the CRR. (d) Simulated and measured return losses of the MPA with the CRR.
(a) (b) (c) (d)We also investigated the radiation patterns of the MPA with CRR at their resonant frequencies, respectively. The proposed antenna radiates in the broadside direction with patterns very similar to each other in the whole band range. Figure9 shows that the proposed antenna obtains low side-lobe and bidirectional radiation characteristics which can receive and transmit signals simultaneously. The service area is divided into small cells in a mobile communication system. In some specific cases when the mobile terminal moves along confined paths, such as tunnels, corridors, and highways, bidirectional antennas are exploited. Thus the proposed antenna may be utilized in narrow space mobile communication systems, while maintaining the small-size and low-profile antenna structure.Figure 9
Radiation patterns of the proposed antenna at (a) 5.88, (b) 6.3, and (c) 6.6 GHz.
(a) (b) (c)To achieve bandwidth enhancement, several printed slot and monopole antennas were studied. A compact monopole antenna with rectangular and triangular slots etched on the partial ground and the center of the rectangular patch achieves a wide usable fractional bandwidth of 148% in [29]. As reported in [30], a power division network was employed in a monopole antenna, and a 10 dB bandwidth of 51% is obtained. An inverted L-shaped slot and an inverted L-shaped strip on the ground plane are introduced to design a wideband planar monopole antenna in [31]. However, the configurations of most of the antennas are relatively complicated. Our work presents a broadband antenna with a small size and simple structure. By comparing the antenna without CRR, the bandwidth of the proposed antenna increases by 200%, which proves the feasibility and simplicity of the design.


## 4. Conclusions

A novel MPA with CRR is proposed and discussed. The CRR is etched in the ground plane, which interacts with the microstrip feedline to excite the new resonance. Parameter studies have shown that the three resonant frequencies of the proposed antenna can be adjusted separately. Therefore, the operating bandwidth of the proposed antenna can be easily regulated by changing the structural parameters of the radiating patch and the CRR. The bandwidth of the proposed antenna increases by 200% compared with that of the antenna without the CRR. We can conclude that the simple structure provides a way to obtain the broadband antenna.



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*Source: 6352181-2018-08-12.xml*