# Design of Yagi Antenna with Slow-Wave Half-Mode SIW Feeding Technique for Ku Band Applications

Authors: Bo Han; Shibing Wang; Jia Zhao; Xiaofeng Shi
Journal: International Journal of Antennas and Propagation
 (2017)

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## Abstract

A novel planar Yagi antenna printed on a microwave substrate with dielectric constant of 3.55 for Ku band applications has been presented in this paper. The proposed antenna has been fed by the slow-wave half-mode substrate-integrated waveguide and has achieved good characteristics, such as reduced size, high gain, broadband, and low insertion loss. The proposed antenna has been fabricated by Rogers 4350 substrate with lengths of two arms for dipole 0.46λ0. Measured results indicate that the impedance bandwidth (below −10 dB return loss) is from 15.4 GHz to 19.4 GHz with peak gain 7.49 dBi. Both simulations and experiments convince that the proposed antenna could have reliable applications for Ku band wireless communications.


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## Body

## 1. Background and Introduction

The planar Yagi antenna becomes a popular opportunity for the design of wireless communication system as advantages of low complexity, low cost, low profile, lightweight, and easy integration. Many researchers have done numerous study works on the design of Yagi antenna. Practically, the feeding system plays an important role in the performance of the Yagi antenna. The quasi-Yagi antenna and array fed by the microstrip-to-CPS balun have been proposed in [1, 2], respectively. Extremely wide frequency bandwidth and good radiation characteristics have been achieved by this feeding technique. The substrate-integrated waveguide (SIW) technologies have been proposed to combine the advantages of rectangular waveguide and microstrip circuits [3, 4]. Substrate-integrated folded waveguides (SIFW) and half-mode substrate-integrated waveguide (HMSIW) have been proposed to reduce the size of SIW in [5, 6], respectively. The design of a miniaturized substrate-integrated waveguide using embedded split-ring resonators has been illustrated in [7, 8]. Yagi antennas fed by SIW and HMSIW have been presented in [9, 10], in which high gain and broadband have achieved with a simple structure. Recently, the slow-wave substrate-integrated waveguide (SW-SIW) by a double-layer substrate with the bottom layer including metallized via-holes connected to the ground has been proposed in [11]. Compared with the classical SIW, the SW-SIW can reduce the longitudinal dimension by more than 40% as the phase velocity is significantly smaller than the SIW structure.In the paper, a novel planar Yagi antenna fed by the slow-wave half-mode SIW (SW-HMSIW) has been proposed for Ku band applications. The proposed antenna has been fabricated by a conventional PCB process with compact size 21.1 × 13.4 × 1.016 mm3. Measured results show that the impedance bandwidth is from 15.4 GHz to 19.4 GHz with an average gain of more than 8.1 dBi.This paper is organized as follows. Section2 describes the design of the proposed SW-HMSIW and SW-HMSIW-fed planar Yagi antenna. Section 3 presents the electromagnetic simulations and experimental results of the proposed Yagi antennas. Finally, the summary and conclusion are given in Section 4.


## 2. Design of Proposed SW-HMSIW-Fed Yagi Antenna

In this section, the design of slow-wave SIW and SW-HMSIW-fed Yagi antenna is illustrated in detail.


### 2.1. Design of Slow-Wave SIW

The layouts of the substrate-integrated waveguide and half-mode substrate-integrated waveguide have been shown in Figure1, where W4 represents the distance between the two rows of vias and H represents the height of the Rogers 4350 dielectric substrate. For the Rogers 4350 substrate, the relative permittivity εr is 3.45, the value of tangent for the loss angle is 0.004, and the thickness of the metal is 50 microns. The diameter of the metallized via in the dielectric substrate R is 0.4 millimeters, and the center distance between the metallized vias D is 0.8 millimeters.Figure 1
Substrate-integrated waveguide layout fabricated by Rogers 4350 substrate. (a) Substrate-integrated waveguide; (b) half-mode substrate-integrated waveguide.
(a)
(b)The layout of the slow-wave half-mode substrate-integrated waveguide with the same geometry size has been shown in Figure2. There are two layers of dielectric substrate which are made up of Rogers 4350 substrate with diameter of the metallized via 0.4 millimeters for the SW-HMSIW structure. In order to realize slow-wave effect, three rows of metallized vias as shown in Figure 2(b) are designed in medium 2. The bottoms of these rows’ metallized vias are connected to the ground while the tops are suspended. The value of the central distance between adjacent two rows of metallized vias D1 is 0.9 millimeters. All values of physical dimensions for these substrate-integrated waveguides designed on Rogers 4350 substrate have been shown in Table 1.Figure 2
Slow-wave substrate-integrated waveguide layout fabricated by Rogers 4350 substrate. (a) Top view; (b) cross-section view.
(a)
(b)Table 1
Values of substrate-integrated waveguide geometry parameters designed on Rogers 4350 substrate (all units in millimeters).
Parameters
Values
Parameters
Values
W
1
6.8
L
1
28
W
2
2.2
L
2
6
W
3
4
L
3
4
W
4
6
W
5
1.76
R
0.4
D
0.8
H
1
0.508
D
1
0.9
H
2
0.508The proposed substrate-integrated waveguides have been computed by Ansoft’s HFSS software, and the simulation port is set as a lumped port [12]. The simulated surface E-filed distributions for the SIW, HMSIW, and SW-HMSIW at 20 GHz have been shown in Figure 3. It can be seen that three propagation cycles of E filed are illustrated for the SIW and HMSIW. However, the number of the E-filed propagation cycle is four for SW-HMSIW. Therefore, the slow-wave effect can be well explained graphically.Figure 3
Simulated surface E-filed distribution of substrate-integrated waveguides at 20 GHz. (a) Substrate-integrated waveguide; (b) half-mode substrate-integrated waveguide; (c) slow-wave half-mode substrate-integrated waveguide.
(a)
(b)
(c)Figure4 shows the simulated scattering parameters for the different mode substrate-integrated waveguides. According to this diagram, the cutoff frequency of HMSIW is 10.35 GHz. Compared to the structure HMSIW, the cutoff frequency of the SW-HMSIW is reduced by 1.2 GHz. Hence, a narrower waveguide could be obtained when an SW-HMSIW is used instead of a conventional HMSIW for the same targeted cutoff frequency [9].Figure 4
Simulated |S11| parameters of different mode substrate-integrated waveguides.


### 2.2. Design of SW-HMSIW-Fed Yagi Antenna

The layout of the proposed slow-wave half-mode substrate-integrated waveguide Yagi antenna which consists of two layers of Rodgers 4350 substrate has been plotted in Figure5. In the top view, there are a truncated metal plane acted as the top layer of the SW-HMSIW, one of the parallel lines, one arm of the dipole antenna, and four director elements. A row of metallized vias which connect the top metal and ground metal through two dielectric substrates acts as the sidewall of the SW-HMSIW. The bottom substrate consists a truncated ground plane as the other layer of the SW-HMSIW, the second arm of the dipole antenna, and four director elements printed in the opposite direction. In order to reduce the design parameters, all of the width, length, and space between the director elements are set up equal to each other. There are four rows of metallized vias designed in the sublayer dielectric substrate with top suspended. The occupying area of the proposed antenna is only 21.1 × 13.4 mm2. To feed the antenna with a subminiature version A (SMA) connector, a microstrip line with width (W5) of 1.4 millimeters is designed. All values of the geometry parameters for the proposed Yagi antenna have been illustrated in Table 2.Figure 5
Layout of the proposed slow-wave half-mode substrate-integrated waveguide Yagi antenna designed on Rogers 4350 substrate. (a) Top view; (b) bottom view.
(a)
(b)Table 2
Values of the geometry parameters for the proposed Yagi antenna (all units in millimeters).
Parameters
Values
Parameters
Values
W
1
13.4
L
1
21.1
W
sim
2.2
D
2
1
W
3
2.5
L
2
9.54
W
4
4.4
W
5
1.4
R
0.4
D
0.8
H
1
0.508
D
1
0.8
H
2
0.508
D
3
1
D
4
1.9
D
5
0.5
D
6
4.5
D
7
2
W
6
2.5


## 2.1. Design of Slow-Wave SIW

The layouts of the substrate-integrated waveguide and half-mode substrate-integrated waveguide have been shown in Figure1, where W4 represents the distance between the two rows of vias and H represents the height of the Rogers 4350 dielectric substrate. For the Rogers 4350 substrate, the relative permittivity εr is 3.45, the value of tangent for the loss angle is 0.004, and the thickness of the metal is 50 microns. The diameter of the metallized via in the dielectric substrate R is 0.4 millimeters, and the center distance between the metallized vias D is 0.8 millimeters.Figure 1
Substrate-integrated waveguide layout fabricated by Rogers 4350 substrate. (a) Substrate-integrated waveguide; (b) half-mode substrate-integrated waveguide.
(a)
(b)The layout of the slow-wave half-mode substrate-integrated waveguide with the same geometry size has been shown in Figure2. There are two layers of dielectric substrate which are made up of Rogers 4350 substrate with diameter of the metallized via 0.4 millimeters for the SW-HMSIW structure. In order to realize slow-wave effect, three rows of metallized vias as shown in Figure 2(b) are designed in medium 2. The bottoms of these rows’ metallized vias are connected to the ground while the tops are suspended. The value of the central distance between adjacent two rows of metallized vias D1 is 0.9 millimeters. All values of physical dimensions for these substrate-integrated waveguides designed on Rogers 4350 substrate have been shown in Table 1.Figure 2
Slow-wave substrate-integrated waveguide layout fabricated by Rogers 4350 substrate. (a) Top view; (b) cross-section view.
(a)
(b)Table 1
Values of substrate-integrated waveguide geometry parameters designed on Rogers 4350 substrate (all units in millimeters).
Parameters
Values
Parameters
Values
W
1
6.8
L
1
28
W
2
2.2
L
2
6
W
3
4
L
3
4
W
4
6
W
5
1.76
R
0.4
D
0.8
H
1
0.508
D
1
0.9
H
2
0.508The proposed substrate-integrated waveguides have been computed by Ansoft’s HFSS software, and the simulation port is set as a lumped port [12]. The simulated surface E-filed distributions for the SIW, HMSIW, and SW-HMSIW at 20 GHz have been shown in Figure 3. It can be seen that three propagation cycles of E filed are illustrated for the SIW and HMSIW. However, the number of the E-filed propagation cycle is four for SW-HMSIW. Therefore, the slow-wave effect can be well explained graphically.Figure 3
Simulated surface E-filed distribution of substrate-integrated waveguides at 20 GHz. (a) Substrate-integrated waveguide; (b) half-mode substrate-integrated waveguide; (c) slow-wave half-mode substrate-integrated waveguide.
(a)
(b)
(c)Figure4 shows the simulated scattering parameters for the different mode substrate-integrated waveguides. According to this diagram, the cutoff frequency of HMSIW is 10.35 GHz. Compared to the structure HMSIW, the cutoff frequency of the SW-HMSIW is reduced by 1.2 GHz. Hence, a narrower waveguide could be obtained when an SW-HMSIW is used instead of a conventional HMSIW for the same targeted cutoff frequency [9].Figure 4
Simulated |S11| parameters of different mode substrate-integrated waveguides.


## 2.2. Design of SW-HMSIW-Fed Yagi Antenna

The layout of the proposed slow-wave half-mode substrate-integrated waveguide Yagi antenna which consists of two layers of Rodgers 4350 substrate has been plotted in Figure5. In the top view, there are a truncated metal plane acted as the top layer of the SW-HMSIW, one of the parallel lines, one arm of the dipole antenna, and four director elements. A row of metallized vias which connect the top metal and ground metal through two dielectric substrates acts as the sidewall of the SW-HMSIW. The bottom substrate consists a truncated ground plane as the other layer of the SW-HMSIW, the second arm of the dipole antenna, and four director elements printed in the opposite direction. In order to reduce the design parameters, all of the width, length, and space between the director elements are set up equal to each other. There are four rows of metallized vias designed in the sublayer dielectric substrate with top suspended. The occupying area of the proposed antenna is only 21.1 × 13.4 mm2. To feed the antenna with a subminiature version A (SMA) connector, a microstrip line with width (W5) of 1.4 millimeters is designed. All values of the geometry parameters for the proposed Yagi antenna have been illustrated in Table 2.Figure 5
Layout of the proposed slow-wave half-mode substrate-integrated waveguide Yagi antenna designed on Rogers 4350 substrate. (a) Top view; (b) bottom view.
(a)
(b)Table 2
Values of the geometry parameters for the proposed Yagi antenna (all units in millimeters).
Parameters
Values
Parameters
Values
W
1
13.4
L
1
21.1
W
sim
2.2
D
2
1
W
3
2.5
L
2
9.54
W
4
4.4
W
5
1.4
R
0.4
D
0.8
H
1
0.508
D
1
0.8
H
2
0.508
D
3
1
D
4
1.9
D
5
0.5
D
6
4.5
D
7
2
W
6
2.5


## 3. Electromagnetic Simulations and Experimental Results

The proposed SW-HMSIW-fed Yagi antenna has been simulated, physically fabricated, and practically measured. The computation of the proposed antenna is done by Ansoft’s HFSS software, and the measurement ofS-parameters is made out by the Agilent vector network analyzer N5227A. The photos of the fabricated antenna with Rogers 4350 substrate have been shown in Figure 6. Figure 7 shows the comparison of |S11| for the computed HMSIW, computed SW-HMSIW, and measured SW-HMSIW-fed Yagi antennas. According to the −10 dB level line, the simulated bandwidth of the HMSIW-fed antennas is from 16.24 GHz to 19.3 GHz with absolute bandwidth 3.06 GHz, the simulated SW-HMSIW antennas is from 16.2 GHz to 20.3 GHz with absolute bandwidth 4.1 GHz, and the measured bandwidth is from 15.4 GHz to 19.4 GHz with absolute bandwidth 4.0 GHz. As can be seen, compared to the conventional HMSIW-fed Yagi antenna, the proposed antenna has better impedance matching performance. A reasonable agreement between the simulations and measurements has been found convincing that the proposed antennas have reliable applications for Ku band wireless communications. To further analyze the deviation of S11 between the experiment and simulation, the computed S11 values of the antennas with different relative permittivity have been shown in Figure 8. It is obvious that the deviation of S11 is mainly caused by the deviation dielectric constant.Figure 6
Photos of the fabricated slow-wave SIW Yagi antenna fabricated by Rogers 4350 substrate. (a) Top view; (b) bottom view.
(a)
(b)Figure 7
The comparison of |S11| for the computed HMSIW, computed SW-HMSIW, and measured SW-HMSIW-fed Yagi antennas.Figure 8
ComputedS11 values for the proposed metamaterial antennas with different relative permittivity.The simulated surface current distribution of proposed SW-HMSIW-fed antenna at different frequencies (12 GHz and 18 GHz) has been shown in Figure9. As can be illustrated, the maximum surface current is concentrated in the bottom side of the Yagi antenna at nonworking frequency band (12 GHz). While at the operating frequency (18 GHz), the distribution of surface current is more uniform. The 3-D radiation patterns of the proposed antennas at 12 GHz and 18 GHz have been shown in Figure 10. It can be observed that the main beam of the proposed antennas becomes in the end-fire direction in the operating bandwidth.Figure 9
Simulated surface current distribution of proposed Yagi antenna at different frequencies: (a) 12 GHz; (b) 18 GHz.
(a)
(b)Figure 10
3-D radiation patterns of the proposed Yagi antenna designed on Rogers 4350 substrate at different frequencies: (a) 12 GHz; (b) 18 GHz.
(a)
(b)The measured and simulated 2-D radiation patterns of the proposed Yagi antenna at different frequencies have been shown in Figure11. The variations of simulated and measured peak-realized gain (dBi) and radiation efficiency with frequency for the proposed antenna have been shown in Figure 12. The average simulated and measured gains of the proposed antennas are 8.1 dBi (with the peak of 8.5 dBi at 19.2 GHz) and 5.25 (with the peak of 7.49 dBi at 19 GHz), respectively. The comparison of antenna performance for different feeding techniques has been shown in Table 3. It is obvious that the characteristics of the high gain, broadband, low insertion loss, and simple design for the proposed Yagi antenna have been verified by the simulated and measured results.Figure 11
Measured and simulated 2-D radiation patterns of the proposed Yagi antenna at different frequencies (solid line: simulated data; line with circle symbol: measured data): (a) 15 GHz; (b) 18 GHz.
(a)
(b)Figure 12
Variation of peak-realized gain (dBi) and radiation efficiency with frequency: (a) peak-realized gain; (b) radiation efficiency.
(a)
(b)Table 3
The comparison of antenna performance for different feeding techniques.
Feeding technique
Size
Bandwidth
Gain
Microstrip-to-CPS balun
Poor
Medium
Medium
HMSIW
Medium
Medium
Medium
SW-HMSIW
Good
Good
Medium


## 4. Summary and Conclusions

In this paper, the slow-wave HMSIW with Rogers 4350 substrate has been computed and studied. Compared with the classical SIW, the SW-HMSIW can reduce the longitudinal dimension as the phase velocity is significantly smaller than the SIW structure. A novel SW-HMSIW-fed Yagi antenna has been simulated, physically fabricated, and practically measured. Good characteristics of the Yagi antenna, such as reduced size, high gain, broadband, and low insertion loss, have been verified by the computation and experiment. Measured results indicate that the impedance bandwidth of the proposed antenna is from 15.4 GHz to 19.4 GHz with the peak gain 7.49 dBi. The 3-D radiation patterns of the proposed antenna show that the main beam of the proposed antennas is in the end-fire direction in the operating bandwidth. All of these convince that the proposed antennas have reliable applications for Ku band wireless communications.



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*Source: 5827181-2017-12-12.xml*