1. Introduction
With the continuous emergence of various wireless services and new scenarios, more and more wireless communication systems will coexist for a long time, with increasing requirements for the miniaturization, intelligence, and multi-function of wireless communication systems. A multi-band antenna with pattern diversity can not only support the working frequency bands under multiple wireless system standards, but can also meet the specific needs of the communication system for polarization and radiation direction in different frequency bands, greatly increasing the functionality of the antenna. However, the structure of the antenna with related functions is relatively complicated, and the radiation performance also needs to be improved.
In [
1], a center-fed circular patch antenna with a monopole-like radiation pattern is proposed. A group of metal vias concentrically surrounds the circular patch and shorted ground plane. Attributed to the shorted vias, the TM
01 and TM
02 modes are excited, and the measured results show that an impedance bandwidth of 18% with a maximum gain of 6 dBi is achieved. Combined with the center-fed circular patch and shorted metal via technology, two dual-band stacked patch antennas are designed in [
2,
3]. In [
2], a stacked-patch structure is constructed to generate a weak coupling effect; then, dual-band performance with an omnidirectional pattern is acquired. A truncated patch etched with a U-shaped slot is placed on the upper layer of the antenna in [
3] to achieve a unidirectional radiation pattern with circular polarization characteristics. Meanwhile, an omnidirectional radiation pattern with the feature of linear polarization is obtained by introducing TM
01 and TM
02 modes generated by a lower circular patch. Antennas that have a stacked structure are also proposed in [
4,
5]. In [
4], an artificial magnetic conductor (AMC) characterized by four zero-phases of reflection coefficient is placed on a quad-band coplanar waveguide (CPW) antenna to achieve multi-band and high gain characteristics. Unlike [
4], Ref. [
5] adopts a dual-antenna design technique. The upper and lower layers of the antenna are, respectively, a printed dipole array responsible for horizontal polarization and a discone antenna responsible for vertical polarization. The measured results show that the two polarization modes of the antenna can work in two bandwidths of 770–980 MHz and 1.69–3.21 GHz, respectively.
In [
6,
7], two dual-band patch antennas with radiation-differentiated characteristics are presented by employing different radiating elements. However, the maximum gain of these two antennas at the lower band is only 3.1 dBi. Based on multi-resonant modes, two dual-band, dual-polarized antennas are investigated in [
8,
9]. However, the impedance bandwidths of the designed antennas are lower than 3.6%. In [
10], a rectangular patch loading a branch on one radiating side and etching a rectangular slot on the other side is proposed to generate TM
01 mode and modified TM
20 and TM
30 modes. The measured result shows that the single patch antenna can operate at three bands and the measured patterns are characterized by broadside radiation. A similar method is also applied in [
11] to introduce three sets of orthogonal modes, and then three resonance bandwidths with circular polarization characteristics are obtained. In [
12], a novel multi-band patch antenna with unidirectional radiation is designed, based on a coupled resonators network. The four frequency bands can be adjusted by changing the coupling strength between the resonators. In addition, the operation bands can be adjusted without changing the shape of the antenna, providing a flexible method of antenna design. However, the measured bandwidths of the antennas in [
10,
11,
12] are relatively narrow. By loading two types of slots on the patch antenna, the method of obtaining multi-resonant modes for the antenna and increasing the bandwidth of the antenna is applied in [
13]. A composite right/left-handed transmission line technique is also introduced to design the patch antenna with the feature of multi-frequency in [
14]. Compared with the technologies of the shorted via, slotting, and stacked structure, the composite right/left-handed transmission line can not only increase the resonant band, but also has the advantages of reducing cross-polarization and enhanced gain, as shown in [
15,
16]. However, for the antennas in [
14,
15,
16], the characteristics of miniaturization, low profile, multi-band, and high gain are not concentrated in a particular antenna.
In this study, a patch antenna with the characteristics of tri-band, enhanced bandwidth, high gain, and a diverse radiation pattern is investigated. Two circular substrates are placed up and down to form a double-layer structure. A circular patch printed on the upper surface of Substrate 1 is directly excited by an off-center probe. Meanwhile, four metal cambered strips surround the outer side of the circular patch to adjust the impedance matching. Then, TM01, TM02, and TM03 resonance modes with acceptable reflection coefficients are obtained. Furthermore, a parasitic patch located on the upper surface of Substrate 2 widens the impedance bandwidth of the patch antenna by coupling with the circular patch. The measured results show that the double-layer patch antenna has differentiated radiation patterns in three frequency bands, with impedance bandwidths of 1.1%, 6.7%, and 9.8%. Moreover, the advantages of the single-probe back-feeding method, simple structure, and easy processing all indicate that the antenna is suitable for multi-service applications.
2. Antenna Design and Theoretical Analysis
As shown in
Figure 1, the geometric diagram of the proposed tri-band patch antenna and the optimal size of the corresponding configuration are given. It can be seen that the antenna is composed of two circular substrates and an air layer with a height of
H2. Substrate 1, which has a permittivity of 2.2, a tangent loss of 0.0001, and a height of
H1, is located in the lower layer of the antenna. A circular patch with a radius of R4 and a ground plane with a radius of R1 are both concentric with Substrate 1, and are printed on the upper and lower surfaces of Substrate 1. An off-center probe is introduced to change the surface current on the circular patch, which is similar to the principle of etching a slot on the patch [
10]. Meanwhile, four cambered strips surrounding the outer side of the circular patch are also printed on the upper surface of Substrate 1. Substrate 2, which has the same electrical parameters as Substrate 1, is located at the uppermost layer of the proposed antenna, but the thickness is selected as
H3 to reduce the profile height of the overall antenna. A parasitic patch with a radius of R5 is printed on the upper surface of Substrate 2. The parasitic patch is excited by the coupling effect with the lower circular patch. Finally, the two substrates and a foam board with a thickness of 0.5 mm in the middle are fixed together with two nylon screws.
In order to clearly explain the working mechanism of the designed antenna for multi-frequency, widened bandwidth, and diverse radiation patterns, the three antennas that appear in sequence during the antenna design process are shown in
Figure 2. Ant. 1 is a traditional single-layer circular patch antenna with an off-center probe. Compared with the center-fed circular patch antenna in [
1,
2,
6], the off-center feeding proposed in this paper introduces more resonance modes. As for Ant. 1, the distance between the feeding point and the center of the circular patch is set to d, and the radius of the circular patch is set to R4. In terms of the reflection coefficient, a detailed parameter analysis is carried out for these two parameters, and the corresponding simulated results are shown in
Figure 3. It can be observed from
Figure 3a that when d = 0—that is, when the center-fed probe is employed—the antenna has only one resonance point at 4.53 GHz. As d gradually increases, Ant. 1 exhibits the characteristics of multi-frequency resonance. In detail, when d = 9.8 mm, Ant. 1 exhibits a reflection coefficient of less than −10 dB at 2.18 GHz, 3.62 GHz, and 4.48 GHz, respectively. On the basis that d is determined to be 9.8 mm, we further study the influence of R4 on antenna resonance. It can be seen from
Figure 3b that, as the size of the circular patch continues to increase, the three resonant frequency points of Ant. 1 all move to lower frequencies. Based on the above discussion, it can be concluded that, for Ant. 1, the position of the feeding point determines the resonance mode of the antenna, and the position of the resonance frequency point is mainly influenced by the size of the circular patch.
Since the optimal reflection coefficients of Ant. 1 at the frequency points of 2.18 GHz and 3.62 GHz are greater than −10.56 dB, which fails to meet the requirements of engineering applications, some improvements are implemented in Ant. 1. As shown in
Figure 2a, four cambered strips surrounding the outside of the circular patch are introduced to form Ant. 2, and the simulated result of S11 is given in
Figure 4. It is worth mentioning that metal cambered strips surrounding the circular patch are introduced to improve impedance matching. The specific performance is the gap between the four cambered strips; the gap between the strips and the circular patch is both capacitive and employed to reduce the inductance introduced by the coaxial probe. Compared with the simulated result of Ant. 1, the improved Ant. 2 also has three resonance modes, which are the same as Ant. 1. The specific performance of the reflection coefficient amplitudes of Ant. 2 at the three frequency points of 2.14 GHz, 3.64 GHz, and 4.43 GHz are −15.18 dB, −16.34 dB, and −32.08 dB, respectively, all of which satisfy the requirement of less than −15 dB. On the basis of Ant. 2, Substrate 2, printed with a parasitic patch, is placed directly above Ant. 2, and an air layer with thickness of 0.5 mm is introduced between the two substrates to form Ant. 3. Attributed to the coupling effect between the circular patch and the parasitic patch, the surface current distribution on the circular patch changes, and the simulated results of S
11 are given in
Figure 4. The simulated results show that the reflection coefficients of Ant. 3 in the three frequency bands of 1.86–1.89 GHz, 3.77–4.09 GHz, and 5.14–5.59 GHz are all lower than −10 dB. According to the location of the frequency band, three resonant frequency bands of Ant. 3 are named
f1,
f2, and
f3 (from low to high). Compared with the previous two antennas, Ant. 3 achieves the characteristics of extended bandwidth while maintaining three resonance modes.
In order to explain the working mechanism of the multi-mode and the expanded bandwidth more clearly, a parameter analysis is carried out for the two key parameters of R5 and
H2. The simulated results are shown in
Figure 5. As shown in
Figure 5a, as the radius R5 of the parasitic patch increases,
f1 gradually shifts to a lower frequency, accompanied by a gradually deteriorating reflection coefficient. Similarly,
f2, which has two resonance frequency points, also shows a tendency to move to a low frequency. However, the resonant point
f22 at the high frequency within
f2 remains basically unchanged, while the resonant point
f21 at the low frequency gradually moves to an even lower frequency, resulting in the gradual division of
f2 into two adjacent frequency bands. As for the high-frequency band
f3,
Figure 5b shows the detailed simulated results. When the radius R5 of the parasitic patch is 29.8 mm, Ant. 3 exhibits dual-frequency
f31 and
f32 resonance characteristics at 5.24 GHz and 5.72 GHz. When the radius R5 increases to 31.8 mm in steps of 1 mm, both
f31 and
f32 move to a lower frequency, and the distance between the two frequency points gradually decreases. As shown by the solid black line in
Figure 5b, adjacent
f31 and
f32 form a wide band with an acceptable reflection coefficient, and the additional resonance point
f33 further extends
f3. However, as R5 continues to increase,
f31 and
f32 finally merge into the resonance frequency of 5.31 GHz, and the frequency
f33 is maintained at 5.57 GHz. It is worth noting that the reflection coefficient within
f3 gradually deteriorates as R5 increases from 31.8 mm to 33.8 mm, and finally, the advantage of broadband is lost.
Figure 5c,d show the curve between the reflection coefficient of Ant. 3 and the air-layer thickness
H2. It can be concluded from
Figure 5c that, as
H2 increases,
f1 gradually moves to a higher frequency, and both
f21 and
f22 also show a tendency to move to a higher frequency. However, the reflection amplitude of
f21 gradually increases, and the reflection coefficient of
f22 exhibits the characteristics of improvement and then deterioration with the increase in
H2.
Figure 5d shows the graph of
f3 varying with
H2. It can be seen that, when
H2 increases from 0 mm to 0.25 mm,
f3 changes from a single-frequency point resonance of 5.06 GHz to a multi-frequency point resonance. As
H2 continues to increase,
f3 gradually moves to a higher frequency. It can also be observed from [
17] that the equivalent permittivity
εefq of the substrates with an air layer can be calculated using the following formula:
where
εr and
H3 represent the relative permittivity and thickness of Substrate 2. When the thickness
H2 of the air layer increases, it can be seen from (1) that
εefq gradually decreases, causing the three frequency bands of Ant. 3 to shift to a higher frequency. Finally, 0.5 mm is selected as the optimal value of
H2 to ensure the broadband characteristics of Ant. 3.
The vector current distribution on the surface of both the circular patch and the parasitic patch is given in
Figure 6 to vividly explain the broadband characteristics of Ant. 3. It can be seen from
Figure 6a that the current on the parasitic patch at 1.87 GHz mainly flows along the
x-axis direction with the characteristics of in-phase. Taking into account the current distribution of the circular patch, it can be concluded that Ant. 3 at 1.87 GHz is working in TM
01 mode with a broadside radiation pattern. It should be noted that, after the parasitic patch is loaded, the influence of R5 on
f1 is greater than that of R4. Due to the coupling effect between the parasitic patch and the circular patch, the original resonance points of Ant. 2 at 3.64 GHz and 4.43 GHz are close to each other, and finally,
f21 and
f22 of Ant. 3 are formed.
Figure 6b shows the current distribution on the two patches when Ant. 3 operates at 3.84 GHz. The vector current on the circular patch flows from the center of the patch in two opposite directions along the
x-axis, with out-of-phase characteristics. Moreover, the surface current on the parasitic patch also shows out-of-phase flowing from the center of the parasitic patch along the
y-axis in two opposite directions. Attributed to the out-of-phase feature, Ant. 3 works at
f2 with an omnidirectional radiation pattern, which is similar to the center-fed monopole patch antenna that resonates in the TM
02 mode [
2]. The benefit of the weak coupling between the circular radiating patch and the parasitic patch, when Ant. 3 works at 5.38 GHz, is that the current distribution of the circular patch is diametrically opposite to that of the parasitic patch, as shown in
Figure 6c. Meanwhile,
Figure 7a shows the electric field distribution of Ant. 3 at 5.38 GHz, which is the same as the working mechanism of the TM
03 mode in
Figure 7b. Combining
Figure 6c and
Figure 7, it can be concluded that at 5.83 GHz the TM
03 mode dominates the working mode of Ant. 3 and the resonance bandwidth is 450 MHz.
3. Measured Results Discussion
In order to verify the accuracy of the simulated results of Ant. 3, the proposed tri-band patch antenna as shown in
Figure 8 is fabricated, and the test items related to reflection coefficient, antenna gain, radiation efficiency, and radiation pattern are also carried out.
Regarding the reflection coefficient of the proposed tri-band patch antenna, the comparison curve between the simulated result and the measured result is depicted in
Figure 9. The measured S
11 shows that the fabricated antenna operates in three frequency bands of
f1: 1.79–1.81 GHz,
f2: 3.74–4.0 GHz, and
f3: 4.93–5.44 GHz. Compared with the simulated results, both
f1 and
f3 show signs of moving towards a lower frequency, which is mainly due to errors introduced during the assembly and testing.
The reasons for the existence of more than three reflection nulls in Ant. 3 can be summarized as follows. Part of the reflection nulls of Ant. 3 is caused by the off-center feeding technology. The benefit of the off-center feeding technology is that Ant. 3 can work in a slot-like mode, which is similar to the principle that etches a slot with a specific shape on the radiating patch to achieve the notch effect. On the other hand, by loading the parasitic patch on the circular radiating patch of the antenna in the corresponding frequency band, the current on the circular patch and the current on the parasitic patch cancel each other out, and a notch response is also introduced.
Meanwhile,
Figure 10 shows the measured results of antenna gain and radiation efficiency. As shown in
Figure 10a, the measured maximum gains of the antenna in
f1,
f2, and
f3 are, respectively, 6.35 dBi, 6.15 dBi, and 9.42 dBi, which are lower than the simulated gains of 7.20 dBi, 6.74 dBi, and 10.62 dBi. In terms of radiation efficiency,
Figure 10 presents the compared results of measurement and simulation. The results show that the measured efficiencies in the three frequency bands are 89.2%, 86.9%, and 85.6%, respectively, and are lower than the simulated results of 98.0%, 93.6%, and 94.7%. The measured antenna gain and radiation efficiency both show partial attenuation, which is mainly due to the loss introduced by the 0.5 mm foam layer and the error in the welding and assembly process.
In order to visually reveal the pattern diversity of the designed antenna,
Figure 11 shows the measured results of the radiation pattern at 1.80 GHz, 3.80 GHz, and 5.35 GHz. As shown in
Figure 11a, the patterns which show broadside directional radiation on the
xoz and
yoz planes are obtained at 1.80 GHz, while an omnidirectional radiation pattern is achieved on the
xoy plane at 3.80 GHz.
Figure 11c shows the antenna pattern at 5.80 GHz with the characteristics of three adjacent beams on the
xoz plane, which is caused by the introduction of higher-order modes. Based on the above analysis, the proposed Ant. 3 can be utilized for multi-service applications in wireless communication due to the characteristics of multi-mode operation, pattern diversity, and expanded bandwidth.