Introduction
Microstrip patch antennas (MPAs) are popular in various wireless applications due to the merits of low profile, low cost, and planar structure [1]. There are rich resonating modes available in this kind of antennas. It is easy to excite the TM modes of MPA to produce broadside or conical (or omnidirectional) radiation patterns. For example, the TM10 mode of rectangular patch and the TM01 mode of circular patch are often used to generate broadside and conical radiation patterns [2], [3]. Apart from single mode, two or more modes are merged to achieve multiple functions, such as dual-band [4], wideband [5], circular polarization [6], dual polarization [7], and pattern diversity [8]. The combination of multiple modes is very cost-effective to improve the performances of MPA.
Adding shorting pins between the microstrip radiator and the ground plane attracts great interest, since it introduces additional degree of freedom to tune the modes of MPA. One widely used application is shifting the resonant frequencies of modes, so that two modes with similar radiation patterns can be combined to increase the bandwidth [9]–[12]. For instance, in [9], both the TM01 and TM02 modes of circular patch are used to produce conical radiation patterns. The resonant frequencies of the two modes are pulled close by introducing shorting pins. Other applications of the shorting pins include enhancing the peak gain [13], [14], reducing the cross polarization [15], [16], increasing the beamwidth [17], suppressing the harmonic radiation [18], steering the null [19], and achieving pattern diversity [20]. For example, in [20], broadside and conical patterns are generated by the TM11 and TM01 modes. Shorting pins are introduced to make sure the two modes have the same frequency band.
Cavity model is widely adopted to analyze the modes of MPA [21], [22]. In this model, the open boundary is assumed to be perfect magnetic conductor (PMC). So the electric field in the cavity is perpendicular with the cavity. This method provides a simple way to observe the mode behavior of MPA, but has difficulty in analyzing shorting pins, because the number of shorting pins in practical model is discrete. In [14], the equivalent circuit of shorting pins in circular patch cavity is studied, and the mechanism for gain enhancement is revealed. However, it uses continuous annular metallic wall to represent the shorting pins. Thin-wire short-circuited wall is used in [23] to increase the accuracy, but the shorting pins still need to be densely arranged. The calculation error will be large when the number of shorting pins is small.
The theory of characteristic mode (TCM) provides another straightforward way to observe the modes of MPA. This theory is based on the Method of Moments (MoM), thus is universal for all kinds of antennas [24]. One big advantage of this method is that the internal eigenmode of the radiator can be analyzed without the influence of external exciter. The physical insight of mode behavior is clear. In addition, the orthogonality of eigenmodes is useful to achieve multi-input-multi-output (MIMO) function. In the last decade, TCM has been widely used in smartphone antenna designs. Multiple chassis modes of the smartphone are excited to broaden the bandwidth or provide MIMO operation [25]–[27]. Recently, TCM has been used in microstrip antenna designs [28]–[35]. For example, the eigenmodes of E-shaped patch and U-slot patch are depicted in [28]–[31]. The influence of the exciter on eigenmodes is analyzed in detail. What’s more, discrete number of shorting pins can also be evaluated. For instance, in [33], the effect of shorting pins on reducing out-of-band mutual coupling is presented. In [35], a dual-polarized patch antenna is proposed with eigenmode analysis. Finite number of shorting pins is used to enhance the bandwidth of higher order modes. However, to the best of the authors’ knowledge, the effect of shorting pins on circular patch model has not been analyzed with TCM.
Pattern diversity, also known as angle diversity, is widely used in MIMO communications, which is usually achieved by generating broadside and conical patterns at the same time. High port isolation is preferred to provide unrelated wireless channels. In this paper, multiple eigenmodes of circular patch are used to design wideband highly-isolated pattern diversity antenna. Based on TCM, the resonances of TM01, TM02, and TM11 modes are tracked in a wide frequency range without the influence of external exciter. Here, the concept of mode merging refers to the fact that multiple modes are utilized simultaneously to improve the performances of antenna. To be specific, TM01 and TM02 modes are merged to produce conical radiation patterns, while TM11 mode is utilized to produce broadside radiation patterns. Hybrid feed technique, including probe feed and aperture coupling, is designed to excite the two radiation patterns. The port isolation can achieve 40 dB. The rest of the contents are organized as follow. In Section II, the eigenmodes of the circular MPA with shorting pins are identified. The effect of the shorting pins on TM01, TM02, and TM11 modes is analyzed in detail. In Section III, a compact two-port MPA is designed for pattern diversity. TM01, TM02, and TM11 modes are simultaneously excited to generate broadside and conical radiation patterns. Two feed schemes are compared to achieve high port isolation. In Section IV, a practical prototype is fabricated and measured. Finally, the conclusion is drawn in Section V.
Eigenmodes of MPA With Shoring Pins
In order to analyze the internal modes of MPA, microstrip radiator without external exciter is discussed. Fig. 1 shows the geometry of the MPA. It consists of a circular patch, an annular column of shorting pins, a ground plane, and a single layer of substrate. The substrate is made of RO4003C (
A. Equivalent Circuit Model
The equivalent circuit model (ECM) of the proposed circular MPA is analyzed firstly. According to the transmission line theory, the ECM of circular MPA without shorting pins has been derived in [36]. However, the ECM becomes complex when discrete shorting pins are annularly placed. In order to evaluate the effect of the shorting pins, the ECM of the MPA model has been modified, as shown in Fig. 2. Considering that the shorting pins are located between the center and the edge of the circular patch, an additional RLC circuit is added to represent the loading effect of the shorting pins [14]. Then, the resonant frequency of the circular MPA with \begin{equation*} f_{rn} =\frac {1}{2\pi \sqrt {[L_{a} \vert \vert (L_{p} /n+L_{c} /n)](C_{a} +nC_{p} +nC_{m})}}\tag{1}\end{equation*}
ECM provides a straightforward way to analyze the effect of the shorting pins on MPA. However, the calculation of the parameters is difficult, especially for multiple modes, since the shorting pins are discretely distributed.
B. Eigenmode Identification
Comparing with ECM, TCM is simpler and more accurate to analyze the loading effect of finite number of shorting pins. The theory of this method has been presented in many literatures [37], thus is not shown in this paper for brevity. Here, only one quantity, namely the modal significance (MS), is considered to evaluate the mode performance. The definition of MS is as follows:\begin{equation*} \textrm {MS}=\left |{ {\frac {1}{1+\textrm {j}\lambda _{n}}} }\right |\tag{2}\end{equation*}
As is shown in Equation (1), MS maps the [
Full wave simulation software CST ver. 2019 is applied to calculate the eigenmodes of the circular patch model, where CM analysis has been integrated in the Multilayer Solver. The size of the ground plane is assumed to be infinite in the calculation. The MS of the microstrip circular patch model with shorting pins is analyzed in wide frequency band. Fig. 3 shows the first three eigenmodes that can be resonant in the concerned frequency band. According to the peak value of MS, the resonant frequencies of the three modes are at 3.42 GHz, 4.44 GHz, 5.25 GHz, respectively. The bandwidth of the mode increases, as frequency increases. It is noted that there is a degenerate mode at the second resonance. This mode has orthogonal polarization with mode 2, and is not discussed for brevity.
The eigencurrents are observed to identify the eigenmodes of the radiator. Fig. 4 shows the currents distribution on the circular patch at the three resonances. In Fig. 4(a), it is seen that the currents are along the radial axis, and the directions of the currents at the inner side and outside of the shorting pins are opposite. This distribution indicates that mode 1 is the TM01 mode. In Fig. 4(b), the currents are mainly along the horizontal direction, and the currents at the left edge and right edge have the same direction. It implies that mode 2 is the TM11 mode. In Fig. 4(c), the currents are along the radial axis, which is similar with mode 1. However, the directions at the inner and outer sides of the shorting pins are the same, rather than opposite. It indicates that mode 3 is the TM02 mode. By observing the eigencurrents distribution, all the three eigenmodes are clearly identified.
Eigencurrents of the first three resonances. (a) Mode 1 at 3.42 GHz. (b) Mode 2 at 4.44 GHz. (c) Mode 3 at 5.25 GHz.
The far fields of the three modes are analyzed to further verify the mode identification. Fig. 5 shows the 3-D radiation patterns of the three modes at their resonant frequencies. It is shown that TM01 and TM02 modes have conical radiation patterns, while TM11 mode has broadside radiation patterns. The peak gains of the three modes are 5.0 dBi, 9.8 dBi, and 4.8 dBi, respectively. These observations also verify the identification of the three modes.
3D radiation patterns of the first three resonances. (a) Mode 1 at 3.42 GHz. (b) Mode 2 at 4.44 GHz. (c) Mode 3 at 5.25 GHz.
C. Parameter Analysis
The unit cell of the proposed MPA is analyzed by sweeping the key parameters. As listed in Table 1, there are four parameters that affect the structure of the model. The effect of these parameters on MS is studied to tune the resonant frequencies of TM01 TM02 and TM11 modes.
Fig. 6 shows the effect of the radius of the circular patch (
From the parameter analysis above, it is concluded that the resonant frequencies of the three modes can be effectively shifted by changing the parameters of the shorting pins. Although each mode cannot be tuned independently, the multiple parameters provide sufficient degrees of freedom to control the resonant frequencies of the modes. For example,
D. Cooperation of Multiple Eigenmodes
Considering that TM01 and TM02 modes have conical pattern, and TM11 mode has broadside pattern, the possible idea of mode cooperation can be: (i) Wideband by merging TM01 and TM02 modes; (ii) Pattern diversity by merging TM11 and TM01 (or TM02) modes; (iii) Wideband and pattern diversity by merging TM01, TM02 and TM11 modes. Obviously, the third type has the best performances.
It is necessary to move the resonating frequencies of the multiple modes so that they will be close to each other. Based on the parameter analysis, the number of the shorting pins is further investigated. Fig. 10 shows the resonant frequencies of TM11, TM01, TM02 modes with different number of shorting pins. As
The resonant frequencies of the first three modes with different number of shorting pins.
After loading proper number of shorting pins, the TM01, TM02 and TM11 modes can be utilized simultaneously. Fig. 11 depicts the cooperation process of the three modes. On the one hand, the bandwidths of TM01 and TM02 modes are merged to obtain wideband operation. Both modes can generate conical radiation patterns. On the other hand, the resonant frequency of the TM11 mode is designated to be the same as that of the TM02 mode. Considering that TM11 mode can generate broadside radiation patterns, pattern diversity function can be achieved when the two patterns are excited independently. Such kinds of pattern diversity can provide signals in half hemisphere. The wide angle coverage ability is promising for indoor WLAN applications.
Fig. 12 illustrates the algorithm for the proposed antenna design. In the beginning, conventional MPA without shorting pins is studied. The eigenmodes of the model are calculated based on CM analysis. If the resonant frequencies of TM01, TM02, and TM11 modes are not close to each other, it will increase the number of shorting pins and carry out iteration. If the three modes can be merged, it will design a two-port feed network for the three modes to achieve pattern diversity.
Pattern Diversity Antenna Design
As shown in Fig. 4, the eigcurrents of TM01 and TM02 modes are along the radial axis. To obtain conical radiation pattern, the proper feed location for the two modes should be at the center of the circular patch. The eigcurrents of TM11 mode are along the horizontal direction. To obtain broadside radiation pattern, the proper feed location for this mode should have some offset distance from the center point. With this scheme, a two-port feed network can be designed to excite the three modes simultaneously.
Probe feed is a simple way to excite the modes of microstrip antenna. In the beginning, two probe feeders are directly added to achieve two-port design. Fig. 13(a) shows the geometry of the circular patch model with two probe feeders. One probe feeder is located at the center of the circular patch, and the other probe feeder is placed in the y-axis. Full-wave simulation software HFSS ver. 2019 is used to optimize the parameters. In the simulation, the boundaries are open space and have a distance of
Microstrip patch antenna with different feed schemes. (a) Probe-probe feed. (b) Probe-aperture hybrid feed.
Fig. 14 shows the simulated S parameters of the two-port antenna. The impedance bandwidth of Port 1 is wide. There are two resonances at 4.75 GHz and 5.15 GHz, which are generated by TM01 mode and TM02 mode. For Port 2 excitation, there is only one resonance generated by TM11 mode. Considering that the bandwidth of a single mode is limited, the bandwidth of Port 2 is relatively narrow. In this way, three modes are effectively excited. However, the port isolation is poor, which is merely 11 dB in the overlapping bandwidth. It is known that the eigenmodes are naturally orthogonal, so the mutual coupling is attributed to the introduction of the two feeders. Port 2 is offset from the center, which deteriorates the symmetry of the structure. Further effort is needed to improve the port isolation.
Aperture coupling is another typical way to excite the modes of microstrip antenna. It has more degrees of freedom than probe feed, so the impedance matching is easier. The influence of this feeder on antenna symmetry might be low, since the feed line does not contact with the circular patch directly. Fig. 13(b) shows the modified geometry of the microstrip antenna. The probe feeder of Port 2 is replaced by aperture coupling feeder. The two feeders consist of a probe-aperture hybrid feed scheme. The H-shaped aperture is etched on the ground plane. A small piece of substrate is added below the ground plane, where an L-shaped microstrip line is printed on the bottom of the substrate. The substrate is made of 0.508-mm-thick RO4003C. The characteristic impedance of the feed line is 50
As shown in Fig. 14, the port isolation is quite different, when aperture coupling feeder is used. The value is above 40 dB in the overlapping bandwidth, which is greatly larger than the 11 dB in two-probe feed scheme. The comparison implies that using aperture coupling to replace the probe for Port 2 is effective to improve the port isolation. The hybrid feed scheme will be adopted in the final design.
The merging process of TM01 and TM02 modes is shown in Fig. 15. The resonant frequency of TM01 mode increases, while that of TM02 mode stays stable, when the number of shorting pins (
Fig. 16 shows the simulated surface currents on the circular patch. Two modes will be excited when Port 1 works. The corresponding currents are shown in Fig. 16(a) and Fig. 16(b). Comparing with the eigencurrents in Fig. 4, the two modes have similar currents distribution with TM01 and TM02 modes, where the currents are along the radial axis, and are out of phase and in phase at the inner and outer sides of the shoring pins, respectively. One mode will be excited when Port 2 works. The currents in Fig. 16(c) resemble the eigencurrents of TM11 mode, where the currents are along the vertical direction. Observing from the currents distribution, the identification of the three modes are further verified.
Simulated currents distribution on the circular patch. (a) 4.7 GHz with Port 1 excitation. (b) 5.15 GHz with Port 1 excitation. (c) 5.15 GHz with Port 2 excitation.
By adding a column of shorting pins and adopting probe- aperture hybrid feeding structure, the proposed antenna has significant advantages over the traditional microstrip antenna in utilizing the number of modes and port isolation.
Experimental Results
The prototype of the two-port MPA is fabricated and measured. Fig. 17 shows the photograph of the prototype. It has two layers of RO4003C substrate, with sizes of
Fig. 18 shows the simulated and measured S parameters of the two-port MPA prototype. The simulated and measured reflection coefficients show reasonable agreement. There are two resonances for Port 1 excitation, and one resonance for Port 2 excitation. The measured −10 dB bandwidth of the two ports is 720 MHz (4.53-5.25 GHz) and 130 MHz (5.09-5.21 GHz) respectively. The measured port isolation is worse than the simulated value. It may be caused by fabrication error and assembling error. However, the measured port isolation is still higher than 27 dB, which is sufficiently high.
The radiation patterns of the antenna are measured in a far field chamber. During the measurement, when one port is connected with the VNA, the other port is terminated with
Normalized radiation patterns at 5.15 GHz. (a)-(b) Port 1 excitation. (c)-(d) Port 2 excitation.
Fig. 20 shows the simulated and measured peak gains with frequency variation. For Port 1 excitation, the beam direction is at about 40°. It is seen that the peak gain is 4.8 dBi, and the gain variation is within 1 dB across the bandwidth. For Port 2 excitation, the gain at the broadside direction is 9.5 dBi. This value is larger than that of conventional patch antenna without shorting pins. It implies that the shorting pins can also increase the gain of MPA, since the radiating aperture is enlarged. Fig. 21 shows the simulated radiation efficiency of the two ports. In the −10 dB impedance bandwidth, the radiation efficiency of Port 1 and Port 2 is higher than 81% and 77%, respectively. The different values of radiation efficiency with the two port excitations are caused by the fact that different modes have different radiating ability.
Table 2 compares the proposed antenna with other circular MPAs that have annular column of shorting pins. Comparing with the referenced designs, the proposed antenna can excite the maximal number of modes simultaneously, and multiple functions of wideband and pattern diversity. Although [18] can also excite 3 modes, it needs 3 radiators, thus the antenna structure is bulky.
Conclusion
In this paper, multiple eigenmodes of circular MPA with shorting pins are analyzed based on characteristic mode analysis. Key parameters of the shorting pins are studied in detail. Three modes, namely TM11, TM01, TM02 modes, are simultaneously utilized to enhance the performances of the MPA. The bandwidth of TM01 and TM02 modes are merged to provide wide bandwidth with conical radiation patterns, while TM11 mode is used to generate broadside radiation patterns, thus achieving pattern diversity. A simple two-port feed network is designed to excite the three modes simultaneously. High port isolation is achieved by using probe-aperture hybrid feed. The measured bandwidth is 720 MHz for conical pattern, and is 130 MHz for broadside pattern. The measured port isolation is above 27 dB. With the advantages of flexible mode tuning, wide bandwidth, high port isolation, and pattern diversity, the proposed MPA has great potential in MIMO communications.