A Four-Layer Odd Function Symmetrical Dual-Polarization Equilateral Right Triangle Slot Printed Broadband Directional Antenna for Wireless Lab Measurement Applications

Department of Electronic Engineering, National Taipei University of Technology, No. 1, Sec. 3, Zhongxiao E. Road, Taipei 10608, Taiwan School of Electronics and Electrical Engineering, Dongguan Polytechnic/Department of Computer and Communication, Jinwen University of Science and Technology, No. 99, An-Chung Road, Hsin-Tien District, New Taipei City 23154, Taiwan Department of Communication Engineering, Feng Chia University, No. 100 Wenhwa Road, Seatwen District, Taichung 40724, Taiwan

the first approach of the tripolarization antenna was presented for operating band 2.4 GHz to 2.6 GHz, but the proposed antenna of the band coverage and isolation between some ports were not sufficient and needed to be improved in multiband wireless performance measurement applications. A few papers [2,3] have been published for getting better isolation in some of the dual-polarization antenna applications, but the two proposed antennas of the impedance bandwidth are still not wide enough to cover modern mobile and wireless communication systems. For the purpose of a wider operating bandwidth and simple planar antenna configuration, bow-tie dipole and slot antenna structure are good candidates in reference research [4][5][6][7]. In paper [8], a dual-polarization coplanar waveguide-(CPW-) fed bow-tie slot antenna has been demonstrated, the antenna structure is simple, and the specifications of wide bandwidth and high isolation can be accomplished easily. e final approach is for directional antenna with dualpolarization design consideration and application. In these literatures, the antennae have the features of directional, broadband, and dual-polarization which are presented. But, the operating bandwidth is not enough to cover the wider bandwidth, and the applications scenario is just limited for mobile base station [9][10][11][12][13]. To summarize all of the reference papers as above, we propose a new design for high gain, high isolation, and broadband directional antenna, which is comprised of the equilateral right triangle slot with odd function symmetrical pair of stubs; there are four stacked layers composed of two antennae and two reflectors are shown. e horizontal and vertical polarization are determined by the direction of the CPW-fed line, and the antenna is perpendicular to the top and bottom. Details of the specification of the proposed antenna designs and the experimental results of constructed prototypes are presented and discussed.

Antenna Structure and Design
In the beginning, we studied the antenna structure in-depth in the paper [4,8] and simulated using Ansys High Frequency Structure Simulator (HFSS) to verify the antenna wideband performance. We have observed that the lowest operating frequency can be calculated by the following equation: where C is the speed of light and Slot length represents the equilateral right triangle slot edge total length. Further investigating the antenna structure, we understand that the structure is comprised of two symmetric bowtie slot structures that can be associated with the even and odd functions. In mathematics, even function and odd function are functions that satisfy particular symmetry relations, and therefore, we follow the reasonable deliberation to further carry out the constructive research of this paper. e top view of the basic geometry of the proposed antenna is shown in Figure 1. e antenna structure consists of an odd function symmetrical CPW-fed equilateral right triangle slot with an overall dimension of 100 × 100 mm 2 . e antenna pattern is printed with a thickness of 1.6 mm FR4 glass epoxy substrate (the relative permittivity is 4.4) and the loss tangent is 0.02. e radiating element section of two equilateral right triangle slot opposite length is defined as L1/ L2, hypotenuse length is defined as R2/R1, and adjacent length is defined as W3/W1. e fundamental resonant mode of modified equilateral right triangle slot structure is designed for the lowest operating band 1.5 GHz and the length and width of the slots can be determined from the full, half, and quarter-wave lengths for each of the resonant frequencies.
e antenna dimension of L and W is approximately 0.5 λ (�100 mm), which can be determined by the lowest frequency of the desired band. e antenna of each right triangle slot edge with its total length of 0.75λ (L1 + R2 + W3≈147 mm) is designed for covering broadband operation, and it can be determined by the lowest frequency of the desired band. e CPW-fed is one of the best antenna structures to obtain a wider impedance matching, so the CPW-fed line is designed to be 50 Ω (S1 � 3 mm), the gap distance (g � 0.45 mm), taper to the CPW of signal strip length should be 0.25λ (W2 � 46 mm), and the parameters are determined by the lowest frequency of the desired band as well. e final optimized values of each parameter are listed in Table 1, and the comparison table of the relationship between the wavelength and the equilateral right triangle slot path length is shown in Table 2.
e comparison of the simulated current distribution of the proposed antenna {(R1 + W1 + L2): (R2 + W3 + L1) � 1 :1)} corresponds to the equilateral right triangle slot length to prove how the wide bandwidth performance works, and the antenna body is shown in Figure 2. At 1.575 GHz, λ L can be approximately calculated through equation (1) and the relationship of the length can be considered as L1/L2 which is equivalent to a quarter wavelength; the result is compared with the total length of the triangular slot on the lowest frequency 1.575 GHz of the desired band. At 2.4 GHz, the  International Journal of Antennas and Propagation relationship of the length can be considered as R1/R2 which is equivalent to one-half wavelength. e result is compared with the total length of the triangular slot on the frequency 2.4 GHz of the desired band. At 3.5 GHz, the frequency is almost twice the frequency of 1.575 GHz, so the relationship of the length can be considered as L1/L2 which is equivalent to one-half wavelength. e result is compared with the total length of the triangular slot on the frequency 1.575 GHz. At 4.7 GHz and 6.5 GHz, the frequencies are almost triple and quadruple the frequency of 1.575 GHz, so the relationship of the length can be considered as L1/L2 which is equivalent to three-quarters of the wavelength and full wavelength. At 5.8 GHz, the frequency is almost 2.5 times the frequency of 2.4 GHz, so the relationship of the length can be considered as R1/R2 which is equivalent to one-half wavelength. e result is compared with the total length of the triangular slot on the frequency 2.4 GHz. Figure 3 illustrates the final configuration of the proposed high gain and broadband directional antenna for wireless lab applications.
ere are four stacked layers composed of two antennae and two reflectors, each antenna joints with CPW-feed port, and these two antennas are perpendicular by each other. Etched in the top layer, the antenna serves as the vertical polarization radiation with the CPW-fed in port-1. In the bottom layer, the antenna rotates 90°to cover the horizontal polarization radiation with the CPW-fed in port-2. To ensure the isolation performance, the distance D1 (�15 mm) between the two main antennas should be 0.075λ at the desired band of the lowest frequency to reduce the coupling effect. Furthermore, the two reflectors are stacked under the odd function symmetrical dual-polarization equilateral right triangle slot printed broadband directional antenna structure, among the top and bottom antenna layer, and the distance D2 (� 25 mm) and D3 (�15 mm) should be 0.2λ at the desired band of the lowest frequency. e optimized parameter values of the antenna including the reflectors are listed in Table 3.

Experimental Results and Discussion
To validate the design, the S-parameters and radiation pattern results of the proposed antenna are simulated by using electromagnetic field simulation software Ansys HFSS and CST microwave simultaneously. e antenna prototype has also been fabricated and measured with an eagle view shown in Figure 4. Figure 5 shows the isolation performance of the two stacked perpendicular odd function symmetrical equilateral right triangle slot with two-fed ports broadband antenna. e parameter D1 is a variable considered to minimize the coupling effect between the two antennas. In the experiment, we observed D1 � 10 mm that two input ports' isolation performance simulation result can be achieved <−17 dB in the required band, but to minimize the simulation and measured difference, D1 � 15 mm is the best distance choice in the final measurement results. Figures 6-8 show the VSWR and isolation performance of the proposed four-layer odd function symmetrical dualpolarization equilateral right triangle slot printed broadband directional antenna. As a result, the antenna performance VSWR over the HFSS and CST simulation tool has similar curves on port-1 and port-2.
ere are only two bands impedance mismatch on port-2 in the range of 1.4 GHz∼1.7 GHz and 1.9 GHz∼2.05 GHz, and both simulation curves are the same except for the numerical results. To further review the antenna performance that can be achieved in wide impedance bandwidth ∼520% for input return loss |S 11 | and output return loss |S 22 |, VSWR is equal to or smaller than 3 and good isolation between the two input ports |S 12 | is equal or smaller than −17 dB for covering 1.37 GHz∼7.12 GHz frequency band. In the parameters D2 and D3, the best spacing needs to be considered by the top and bottom antenna layers for balancing reflector performance and reducing the coupling effect. Hence, D1 + D2 must be equal to D2 + D3 � 40 mm to increase isolation and broadband width in the two antennas. In the experiment, the top antenna layer relies on the 3rd layer reflector to reflect the wave radiation concentrated on X-axis. For the same reason, the bottom antenna layer relies on the 4th layer reflector to reflect most of the wave radiation, including the lower band of the top antenna layer. Note that the shape of third layer reflector is the same as the first layer antenna, that is, for reducing the coupling effect between the second layer and third layer. In addition, the high isolation between the    two feeding-ports and the high directional gain are due to the odd function symmetric structure. e parameters D1 + D2 + D3 � 55 mm also meet the definition of the antenna reflector theory; that is, the gap distance between antennas must be greater than one-sixth λ by the lowest frequency of the desired band. It is demonstrated that the coupling effect can be minimized and the reflector performance has been optimized for top and bottom antenna. Figure 9 presents the (i) VSWR and |S 12 | experimental measurement photo of the antenna under test (AUT), which is measured with Copper Mountain Technologies C4209 Vector Network Analyzer (VNA). e (ii) 3D radiation pattern measurement was implemented by the 3D anechoic chamber of ETS-Lindgren. e proposed antenna supporting dual-polarization is the primary purpose, so the 2D radiation pattern of the xzplane at port-1 and yz-plane at port-2 should be similar to what is expected. When feeding on port-1 and port-2, the radiation patterns for free space of the proposed antenna are shown in Figures 10-12. For port-1, the vertical polarization is the dominant polarization. e half-power (3 dB) beamwidths are 60°and 40°in E1-plane (xz-plane) and E2-plane (yz-plane), and the maximum radiation power (MRP) is concentrated at about 0°on the plus Z-axis at 1.575 GHz. For port-2, the horizontal polarization is the dominant polarization. e 3 dB beamwidths are 40°and 40°in xz-plane and yz-plane, and the MRP is concentrated on the same axis as port-1 at 1.575 GHz. At a frequency of 2.4 GHz, the 3 dB beamwidths are 60°in xzplane and yz-plane in port-1 and 50°in xz-and yz-plane in port-2, and the MRP of the two ports are the same and they are concentrated at about 0°on the plus Z-axis. From the perspective of 5 G and higher frequency radiation patterns, when the operating frequency is higher than 5 GHz, the 3 dB beamwidths are almost limited to around 20°in xz-plane and yz-plane, and the MRP is scattering more seriously because the wavelength of 5 G and higher frequencies has tripled relative to the lowest frequency of the desired band.   To summarize the measured results of all the radiation patterns in xz-plane and yz-plane, the proposed antenna radiation pattern is similar when feeding port-1 and port-2.
e phase difference of 90°between the two antennas will make the radiation pattern have obvious polarization diversity. By analyzing in E-plane results, it is proved that the odd symmetrical antenna has obtained both polarization diversity and pattern diversity characteristics with good isolation. e 3D pattern efficiency and peak gain of the proposed antenna are also measured. e measurement result was done by using pattern integration employing the ETS-Lindgren anechoic chamber and it is shown in Figure 13. In the GPS band of 1.575 GHz, the efficiency and peak gain is 61.4% and 5.2 dBi for port-1 and 58.6% and 5.8 dBi for port-2. In the WLAN band of 2.4 GHz, 5.8 GHz, and 6.5 GHz, the efficiencies are 69.3%, 69.1%, and 63.6% for port-1 and 72.6%, 70%, and 57% for port-2. e peak gain is 5.6, 7.1, and 5.3 dBi for port-1 and 5.3, 6, and 4.6 dBi for port-2. In the sub-6 5 G band of 3.5 and 4.7 GHz, the efficiencies are 52% and 76% for port-1 and 52.5% and 75% for port-2. e peak gain is 4.2 and 7.7 dBi for port-1 and 5 and 6.5 dBi for port-2.
In Figure 12, it was found that the radiation patterns are multilobe. is is probably because, for higher frequencies in the upper-frequency band, some undesired higher-order modes of the multilayer structure are excited, which could cause some distortions in the resultant radiation patterns. Based on the radiated pattern requirements of wireless consumer products, too many distorted radiation patterns are not convincing. But the proposed antenna is a two-port dual-polarization antenna for measurement applications. As long as one of the two planes y-z and z-x has the peak gain of the antenna, it can transmit and receive power, which meets the requirements of measurement antenna in the testing laboratory [14]. Table 4  4-layer proposed ANT -S12 simulation (HFSS) 4-layer proposed ANT -S12 measured 4-layer proposed ANT -S12 simulation (CST) and directional radiation. For mobile base station or lab measurement applications, the antenna in [9] does not support dual-polarization, even if [10][11][12][13]15] have better antenna gain in the frequency range of 1-6 GHz, but these antennas have insufficient bandwidth to cover modern wireless technologies and require extra feeding network design and expensive materials. Different from [10][11][12][13]15], the proposed antenna utilizes an odd function symmetrical equilateral right triangle slot to realize an ultrawide bandwidth of 1.37-7.12 GHz (135.5%). It can be seen that the proposed antenna has the advantages of ultrawide bandwidth, low cost, planar and simple structure, and good enough performance in isolation and antenna gain.

Conclusion
A four-layer odd function symmetrical dual-polarization equilateral right triangle slot printed broadband directional antenna for wireless lab measurement applications has been demonstrated and measured. e antenna structure is comprised of the two equilateral right triangle slots with odd function symmetrical pair of stubs; there are four stacked layers composed of two antennae and two reflectors, each antenna joints with CPW-feed port, and these two antennas are perpendicular by each other. By correctly choosing the length and width of the slots, it can obtain much wider impedance bandwidth, dual-polarization, and high isolation.
e measured results demonstrate that the proposed antenna performance can achieve a wide impedance bandwidth ∼520% for |S 11 | and |S 22 |; VSWR ≦ 3 which has implemented the operating band from 1.37 to 7.12 GHz for GPS (1.575 GHz), WLAN band (2.4 GHz and 5.8 GHz), and 6 GHz unlicensed spectrum (5.925 GHz∼7.125 GHz), Long Term Evolution Upper band (LTE, 1710-2690 MHz), and sub-6 5 G band (3.5 GHz and 4.7 GHz) applications. e measured inband isolation performance between the two input ports is valuable for achieving |S 12 | ≦ −17 dB. Although the original antenna specification was designed for frequency 1.5 GHz-7.125 GHz applications, the design concept can also be extended to other frequency bands of interest.

Data Availability
e data used to support the findings of this study are included within the article.

Conflicts of Interest
e authors declare that they have no conflicts of interest.  International Journal of Antennas and Propagation 9