# Millimeter Wave Fabry-Perot Resonator Antenna Fed by CPW with High Gain and Broadband

Authors: Xue-Xia Yang; Guan-Nan Tan; Bing Han; Hai-Gao Xue
Journal: International Journal of Antennas and Propagation
 (2016)

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## Abstract

A novel millimeter wave coplanar waveguide (CPW) fed Fabry-Perot (F-P) antenna with high gain, broad bandwidth, and low profile is reported. The partially reflective surface (PRS) and the ground form the F-P resonator cavity, which is filled with the same dielectric substrate. A dual rhombic slot loop on the ground acts as the primary feeding antenna, which is fed by the CPW and has broad bandwidth. In order to improve the antenna gain, metal vias are inserted surrounding the F-P cavity. A CPW-to-microstrip transition is designed to measure the performances of the antenna and extend the applications. The measured impedance bandwidth ofS11 less than −10 dB is from 34 to 37.7 GHz (10.5%), and the gain is 15.4 dBi at the center frequency of 35 GHz with a 3 dB gain bandwidth of 7.1%. This performance of the antenna shows a tradeoff among gain, bandwidth, and profile.


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## Body

## 1. Introduction

Millimeter wave communication systems not only have high data rate and small size but also provide an access to the less crowded spectrum. They have been suggested to be applied in the local area networks [1–3], 5G networks (next generation of cellular mobile network with improved data rates) [4, 5], wireless power transmission systems [6], and so on. As the key components of these systems, millimeter wave antennas with high gain and planar structure have been investigated recently. Microstrip antennas have been good candidates in normal wireless systems because of their low profile, low cost, and easy integration. However, the gains of the microstrip antenna arrays at millimeter wave bands are limited due to the higher losses of feed networks. Reflector antennas have high gain but the three-dimensional structures limit the applications [7].The Fabry-Perot (F-P) structure was firstly suggested to be applied in the antenna design in 1956 [8]. Over the last few years, various F-P antennas have been reported [9–20], which are listed in Table 1. The antennas in [9–16] have the air layers so the heights are all higher than 0.5λ0. The antenna in [10] obtains a gain of 22.7 dBi and 3 dB gain bandwidth of 13.2%; however, four substrate layers are used and the height reaches 1.67λ0. In [17], the artificial magnetic conductor (AMC) replaces the ground conductor to design the F-P antenna. The height of the air layer is reduced to λ0/4 and the gain of the antenna is 19 dBi. However, the structure is complicate and the 3 dB gain bandwidth is only 2%. Practically, it is difficult to accurately fix the height of the air layer in millimeter wave band designs, which would influence antenna performance obviously. In order to enhance the robustness and lower the profile of the F-P antenna, the dielectric layers substitute for the air layers in some designs [18–20]. Although the height of these antennas are all lower than 0.25λ0, the 3 dB gain bandwidths are all narrower than 2.5%. Among these reported F-P antennas, only several antennas operate at millimeter waves [13–16, 20]. A 2×2 array is applied as the primary feeding antenna for the F-P antenna at 60 GHz [13]. The measured gain is 15.2 dBi while the 3 dB gain bandwidth is only 0.5%. In [14], the 94 GHz F-P antenna has a three-dimensional PRS cover. Although the height is 1.02λ0, the gain is 13 dBi and the 3 dB gain bandwidth is only 1%. A dual-polarized F-P antenna operated at 35 GHz is reported in [15]. The height is 0.67λ0, and the 3 dB gain bandwidth is 7.1%. The gains are 16.1 dBi and 15.1 dBi for the two polarizations, respectively. Reference [16] presents a V-band F-P antenna with an all-metal cap as the PRS. The height is 0.52λ0, and the measured gain is only 11 dBi with the 3 dB gain bandwidth of 4.3%. In [20], a Q-band F-P antenna is designed with the gain of 14 dBi and the height of 0.23λ0. However, the 3 dB gain bandwidth is only 1%.Table 1
Performances of the published F-P antennas.
Reference
f (GHz)
Height of air layer
Substrate layers/antenna height
3 dB gain bandwidth
Gain (dBi)
[9]
14
λ
0
/
2
3
/
0.9
λ
0
5.7%
19 (2 × 2 array)
[10]
12
λ
0
/
2
4
/
1.67
λ
0
13.2%
22.7 (4 × 8 array)
[11]
14
λ
0
/
2
2
/
λ
0
6%
17.44
[12]
10
λ
0
/
2
3
/
0.55
λ
0
28%
13.8
[13]
60
λ
0
/
2
3
/
0.52
λ
0
0.5%
15.2 (2 × 2 array)
[14]
94
λ
0
/
2
Nonplanar/1.02λ0
1%
13
[15]
35
λ
0
/
2
3
/
0
.
67
λ
0
7.1%
16.1, 15.1
[16]
63
3
λ
0
/
10
2
/
0
.
52
λ
0
4.3%
11
[17]
14
λ
0
/
4
2
/
0.3
λ
0
2%
19
[18]
10
No
3
/
0.11
λ
0
2%
12.5
[19]
10
No
3
/
0.12
λ
0
2.3%
13.5
[20]
44
No
1
/
0.23
λ
0
1%
14
This work
35
No
2
/
0
.
38
λ
0
7.1%
15.4In this paper, a novel millimeter wave F-P antenna is proposed and designed at 35 GHz. The F-P resonator cavity is composed of the partially reflective surface (PRS) cover and the ground, which is filled with the same dielectric substrate. The primary feeding antenna is a dual rhombic slot loop fed by the CPW line, which has broadband performance. The CPW feedline is employed for its low loss property in millimeter wave band. In order to test the performances of the antenna and extend the applications, a CPW-to-microstrip transition is designed. The performance of proposed antenna has a tradeoff among the high gain, broad bandwidth, and low profile. Table1 gives a comparison between the reported F-P antennas and this work.


## 2. Antenna Design

### 2.1. Antenna Structure

The geometrical structure of the proposed F-P antenna fed by the CPW is shown in Figure1. The antenna consists of two layers of substrates, layer #1 and layer #2 with the thicknesses of H1 and H2, respectively. The two substrate layers are all Rogers 5880 with the relative permittivity of 2.2 and the tangential loss of 0.0009. Layer #1 is the PRS substrate support and acts as the Fabry-Perot resonator. The PRS consists of 9 × 9 hexagon hoop cells as shown in Figure 1(a). The period distance of the PRS cells is Tf. Layer #2 is for the primary feeding antenna, which is a dual rhombic slot loop with the length of L1 and width of W1 and is printed on the bottom of layer #2 as shown in Figure 1(b). The dual rhombic slot loops are diagonally fed by a CPW feedline with the metal trace width of W2 and the gap of g. The stub length of L2 influences the antenna’s impedance match performance. The detailed sizes of the dual rhombic slot loops are shown in Figure 1(c). The metal vias from the top metal layer to the bottom one surround the PRS structure, which is shown in Figures 1(a) and 1(b).Figure 1
Antenna structure. (a) Front and side view, (b) back view, (c) detailed structure of the dual rhombic slot loop, and (d) detailed structure of the PRS cell.
(a)
(b)
(c)
(d)


### 2.2. PRS Cell Design

The PRS on the top layer of substrate layer #1 and the ground plane on the bottom of layer #2 form the F-P cavity. The electromagnetic wave in this cavity is excited by the dual rhombic loop-slot. According to the early work of Von Trentini [8], a simple optical ray model can be used to analyze the antenna. The analysis is similar to the resonant optical cavity theory. With the multiple reflection of the wave emitted by the PRS, a resonance would be achieved when the reflected waves are in phase after one cavity roundtrip. Thus, a highly directive beam can be obtained at the designed frequency.The resonant condition of this F-P antenna can be written by(1)φg+φr-4πhλ=2Nπ,N=0,±1,±2,where h is the height between the PRS and the ground, φg is the reflection phase of the metal ground plane, φr is the reflection phase of the PRS, and λ is the operation wavelength in the substrate, which is different from the free space wavelength λ0 in conventional air-filled F-P antennas resonant condition. λ is shorter than λ0, so it can be seen from (1) that the height h of the proposed F-P cavity is smaller than the conventional air-filled ones.Assuming the size of the PRS to be infinite, the increased directivity of the FPCA can be calculated by(2)Dinc=10×log⁡1+R1-R,where Dinc is the increased directivity comparing with the primary antenna and R is the reflection magnitude of the PRS. In order to obtain high directivity, the PRS with high reflection magnitude is desired.The height of the F-P cavity is the whole thickness of layer #1 and layer #2. The thickness of layer #1 is chosen to be 3.175 mm according to the datasheet of the Rogers 5880. The hexagon loop with truncated corners is used as the PRS cell, and the details of the PRS cell are shown in Figure1(d). The magnitudes and phases of the reflection coefficient for different truncated corner length Ls are simulated using Ansoft HFSS. From Figure 2, it can be seen that the phases can be easily turned by changing Ls so the resonant condition of (1) can be satisfied with proper value of Ls. Meanwhile, it can be found that the magnitudes are all higher than 0.9 at 35 GHz. According to (2), the gain enhancement would be 12.8 dB.Figure 2
The reflection magnitudes and phases of the PRS cell.Because the PRS cell is not symmetrical, an unwanted polarization wave would probably be generated when the incident wave passes through the PRS cover. When the incident wave is iny-polarization, the cross polarization wave would be in x-polarization. The generated cross polarization level is simulated and shown in Figure 3. It can be seen that the cross polarization level is under −20 dB from 30 GHz to 40 GHz, which indicates the effect of the PRS cover on the antenna cross polarization performance is little.Figure 3
Simulated cross polarization performance of the hexagon loop PRS cell.


### 2.3. Metal Vias Surrounding the PRS

The antenna gain could be improved by the vias surrounding the PRS, referring to Figures1(a) and 1(b). The distance between the metal vias and the PRS is P. The surrounding vias with an optimal distance P could suppress the surface wave and confine the wave in the cavity as shown in Figure 4. It can be found that the gain enhancement of 1.6 dB is obtained when the vias distance P is 3 mm. At this optimal distance, the sidelobes at θ = 90° are decreased and the main lobes are enhanced.Figure 4
Simulated radiation patterns (a) E-plane (yoz) and (b) H-plane (xoz) at 35 GHz.
(a)
(b)


### 2.4. Balun from CPW to Microstrip Line

Considering the PCB process, the slot width of a CPW feedline should be wider than 0.1 mm. If the slot widthg of the CPW is 0.1 mm, the width W2 of the metal trace would be 2.3 mm to obtain 50 Ω characteristic impedance. W2 will be longer than a quarter of guide wavelength and this CPW will not be a TEM wave transmission line. Thus, the CPW feedline with 100 Ω characteristic impedance is presented, and the trace and slot widths are 0.25 mm and 0.2 mm, respectively. In order to measure the designed antenna, a balun from 100 Ω CPW line to 50 Ω microstrip line is designed. The designed balun is printed on layer #2. The two layers were fixed together by plastic screws after fabrication as shown in Figure 5.Figure 5
Side view of the F-P antenna and balun.The CPW-microstrip line transition reported in [21] is referred to in this antenna design. The structure of the balun that transforms the 100 Ω CPW feedline to the 50 Ω microstrip line is shown in Figure 6. It is composed of a circular CPW with the radius of Rc, a microstrip ring with the radius of Rm, and a short-ended stub. The microstrip line is on the top side of layer #2 with the width of W50, whose characteristic impedance is 50 Ω. The CPW is on the bottom side with the same sizes of the antenna CPW feedline. The electromagnetic wave fed by the microstrip will be coupled by proximity manner by the ring of the microstrip line and the ring of the CPW. A short-ended stub is shunted in parallel to the microstrip line to widen the bandwidth of the transition.Figure 6
Balun structure.The simulatedS-parameters of the balun are shown in Figure 7. S11 less than −20 dB is within the bandwidth from 27 GHz to 39 GHz and S21 is about −1.5 dB, which ensures a good passband performance.Figure 7
SimulatedS-parameters of the balun.


## 2.1. Antenna Structure

The geometrical structure of the proposed F-P antenna fed by the CPW is shown in Figure1. The antenna consists of two layers of substrates, layer #1 and layer #2 with the thicknesses of H1 and H2, respectively. The two substrate layers are all Rogers 5880 with the relative permittivity of 2.2 and the tangential loss of 0.0009. Layer #1 is the PRS substrate support and acts as the Fabry-Perot resonator. The PRS consists of 9 × 9 hexagon hoop cells as shown in Figure 1(a). The period distance of the PRS cells is Tf. Layer #2 is for the primary feeding antenna, which is a dual rhombic slot loop with the length of L1 and width of W1 and is printed on the bottom of layer #2 as shown in Figure 1(b). The dual rhombic slot loops are diagonally fed by a CPW feedline with the metal trace width of W2 and the gap of g. The stub length of L2 influences the antenna’s impedance match performance. The detailed sizes of the dual rhombic slot loops are shown in Figure 1(c). The metal vias from the top metal layer to the bottom one surround the PRS structure, which is shown in Figures 1(a) and 1(b).Figure 1
Antenna structure. (a) Front and side view, (b) back view, (c) detailed structure of the dual rhombic slot loop, and (d) detailed structure of the PRS cell.
(a)
(b)
(c)
(d)


## 2.2. PRS Cell Design

The PRS on the top layer of substrate layer #1 and the ground plane on the bottom of layer #2 form the F-P cavity. The electromagnetic wave in this cavity is excited by the dual rhombic loop-slot. According to the early work of Von Trentini [8], a simple optical ray model can be used to analyze the antenna. The analysis is similar to the resonant optical cavity theory. With the multiple reflection of the wave emitted by the PRS, a resonance would be achieved when the reflected waves are in phase after one cavity roundtrip. Thus, a highly directive beam can be obtained at the designed frequency.The resonant condition of this F-P antenna can be written by(1)φg+φr-4πhλ=2Nπ,N=0,±1,±2,where h is the height between the PRS and the ground, φg is the reflection phase of the metal ground plane, φr is the reflection phase of the PRS, and λ is the operation wavelength in the substrate, which is different from the free space wavelength λ0 in conventional air-filled F-P antennas resonant condition. λ is shorter than λ0, so it can be seen from (1) that the height h of the proposed F-P cavity is smaller than the conventional air-filled ones.Assuming the size of the PRS to be infinite, the increased directivity of the FPCA can be calculated by(2)Dinc=10×log⁡1+R1-R,where Dinc is the increased directivity comparing with the primary antenna and R is the reflection magnitude of the PRS. In order to obtain high directivity, the PRS with high reflection magnitude is desired.The height of the F-P cavity is the whole thickness of layer #1 and layer #2. The thickness of layer #1 is chosen to be 3.175 mm according to the datasheet of the Rogers 5880. The hexagon loop with truncated corners is used as the PRS cell, and the details of the PRS cell are shown in Figure1(d). The magnitudes and phases of the reflection coefficient for different truncated corner length Ls are simulated using Ansoft HFSS. From Figure 2, it can be seen that the phases can be easily turned by changing Ls so the resonant condition of (1) can be satisfied with proper value of Ls. Meanwhile, it can be found that the magnitudes are all higher than 0.9 at 35 GHz. According to (2), the gain enhancement would be 12.8 dB.Figure 2
The reflection magnitudes and phases of the PRS cell.Because the PRS cell is not symmetrical, an unwanted polarization wave would probably be generated when the incident wave passes through the PRS cover. When the incident wave is iny-polarization, the cross polarization wave would be in x-polarization. The generated cross polarization level is simulated and shown in Figure 3. It can be seen that the cross polarization level is under −20 dB from 30 GHz to 40 GHz, which indicates the effect of the PRS cover on the antenna cross polarization performance is little.Figure 3
Simulated cross polarization performance of the hexagon loop PRS cell.


## 2.3. Metal Vias Surrounding the PRS

The antenna gain could be improved by the vias surrounding the PRS, referring to Figures1(a) and 1(b). The distance between the metal vias and the PRS is P. The surrounding vias with an optimal distance P could suppress the surface wave and confine the wave in the cavity as shown in Figure 4. It can be found that the gain enhancement of 1.6 dB is obtained when the vias distance P is 3 mm. At this optimal distance, the sidelobes at θ = 90° are decreased and the main lobes are enhanced.Figure 4
Simulated radiation patterns (a) E-plane (yoz) and (b) H-plane (xoz) at 35 GHz.
(a)
(b)


## 2.4. Balun from CPW to Microstrip Line

Considering the PCB process, the slot width of a CPW feedline should be wider than 0.1 mm. If the slot widthg of the CPW is 0.1 mm, the width W2 of the metal trace would be 2.3 mm to obtain 50 Ω characteristic impedance. W2 will be longer than a quarter of guide wavelength and this CPW will not be a TEM wave transmission line. Thus, the CPW feedline with 100 Ω characteristic impedance is presented, and the trace and slot widths are 0.25 mm and 0.2 mm, respectively. In order to measure the designed antenna, a balun from 100 Ω CPW line to 50 Ω microstrip line is designed. The designed balun is printed on layer #2. The two layers were fixed together by plastic screws after fabrication as shown in Figure 5.Figure 5
Side view of the F-P antenna and balun.The CPW-microstrip line transition reported in [21] is referred to in this antenna design. The structure of the balun that transforms the 100 Ω CPW feedline to the 50 Ω microstrip line is shown in Figure 6. It is composed of a circular CPW with the radius of Rc, a microstrip ring with the radius of Rm, and a short-ended stub. The microstrip line is on the top side of layer #2 with the width of W50, whose characteristic impedance is 50 Ω. The CPW is on the bottom side with the same sizes of the antenna CPW feedline. The electromagnetic wave fed by the microstrip will be coupled by proximity manner by the ring of the microstrip line and the ring of the CPW. A short-ended stub is shunted in parallel to the microstrip line to widen the bandwidth of the transition.Figure 6
Balun structure.The simulatedS-parameters of the balun are shown in Figure 7. S11 less than −20 dB is within the bandwidth from 27 GHz to 39 GHz and S21 is about −1.5 dB, which ensures a good passband performance.Figure 7
SimulatedS-parameters of the balun.


## 3. Simulation and Measurement Results

In order to validate the proposed antenna, a prototype is fabricated and tested. Figure8 shows the photograph of the fabricated F-P antenna. The center frequency of the antenna is 35 GHz. The dual rhombic slot loops have a perimeter of 1.2λ0. The metal vias surrounded area is about 3λ0×3λ0 and the thickness of the antenna is 0.38λ0. The geometric parameters of the antenna are listed in Table 2.Table 2
Geometry of the F-P antenna.
Parameters (mm)
L
W
D
T
T
f
L
f
L
s
W
s
L
1
W
1
L
2
W
2
g
W
50
L
m
1
W
m
1
L
m
2
W
m
2
W
m
3
R
c
R
m
d
S
H
1
H
2
P
28
38
1
1.6
2.2
2
0.7
0.24
2.6
0.2
2.4
0.25
0.2
0.78
1.2
0.2
1.14
0.9
0.2
0.55
0.6
0.4
0.55
3.15
0.254
3Figure 8
Photograph of the proposed F-P antenna. (a) Top view, (b) bottom view.
(a)
(b)S
11 performance is measured by the vector network analyzer (VNA) of Agilent 8722ES. The radiation performances of the antenna are tested in the anechoic chamber. The radiation patterns were measured in an anechoic chamber, which is based on the NSI 2000 antenna far-field measurement system designed by Nearfield Systems Inc. The SNR (Signal-Noise Ratio) of the measurement within the required frequency band is better than 40 dB.The simulated and measuredS11 is plotted in Figure 9. The measured impedance bandwidth of S11 less than −10 dB is 10.5% (34–37.7 GHz), which is broader than that of the simulated one. This is probably induced by the manufacture method. The two substrate layers were manually clamped by four plastic screws. There is probably a thin air layer between the two substrates, which led to the bandwidth wider.Figure 9
Simulated and measuredS-parameters.The simulated and measured gains versus frequency are shown in Figure10. A peak gain of 15.4 dBi is measured at 35 GHz. The 3 dB gain bandwidth of the F-P antenna is about 7.1% (33.2–35.7 GHz). The antenna gain is higher than 10 dBi from 32.4 GHz to 36.4 GHz. The measured and simulated gain patterns of the F-P antenna at the frequency of 35 GHz are illustrated in Figure 11. For comparison, the gain patterns of the primary feeding antenna are plotted, too. The primary antenna has a bidirectional radiation pattern and the gain in the broadside is only 6.1 dBi. When the PRS is covered above the primary antenna, the sidelobe at θ = 90° and the back radiation of the primary feeding antenna in the H-plane are suppressed and the gain of the F-P antenna is increased by 10.5 dB. The measured sidelobe level is −9.5 dB and the front-to-black ratio is 11.5 dB.Figure 10
Simulated and measured gains.Figure 11
Measured and simulated radiation patterns of (a) E-plane (yoz) and (b) H-plane (xoz) at 35 GHz.
(a)
(b)


## 4. Conclusion

A novel millimeter wave F-P antenna fed by CPW with high gain, broad gain bandwidth, and low profile has been proposed. The vias surrounding the PRS are used to improve the gain. A CPW-to-microstrip transition has been designed to measure the antenna’s performance and expend the applications. The substrate layer was used to design the F-P cavity to lower the profile and strengthen the antenna structure. The measured results show that the bandwidth ofS11 less than −10 dB is 10.5% (34–37.7 GHz) and the bandwidth of 3 dB gain is 7.1% (33.2–35.7 GHz). A peak gain of 15.4 dBi is obtained at the center frequency of 35 GHz. The proposed antenna can be fabricated by using only one integrated substrate in mass production. With the characteristics of broadband, high gain, low profile, robust structure, and easy integration, this F-P antenna can be used in the millimeter wave communication systems and applied as the receiving antenna of the wireless power transmission systems.



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*Source: 3032684-2016-05-10.xml*