# A Multiple Resonant Frequencies Circular Reconfigurable Antenna Investigated with Wireless Powering in a Concrete Block

Authors: Shishir Shanker Punjala; Niki Pissinou; Kia Makki
Journal: International Journal of Antennas and Propagation
 (2015)

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## Abstract

A novel broadband reconfigurable antenna design that can cover different frequency bands is presented. This antenna has multiple resonant frequencies. The reflection coefficient graphs for this antenna are presented in this paper. The new proposed design was investigated along with RF MEMS switches and the results are also presented. Investigations were carried out to check the efficiency of the antenna in the wireless powering domain. The antenna was placed in a concrete block and its result comparison to that of a dipole antenna is also presented in this paper.


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## Body

## 1. Introduction

Reconfigurable antennas [1] are preferred in modern wireless communication systems as they provide a single antenna that can be used for multiple application systems. By using switches, the basic characteristics of a reconfigurable antenna such as the operating frequency, bandwidth, polarization, and the radiation pattern can be tuned to a specific application. These basic characteristics are changed by increasing or decreasing the electrical length of the antenna. A frequency reconfigurable antenna [2] also has low isolation problems.A novel Circular Reconfigurable Antenna is presented in this paper. Its reflection coefficient, radiation pattern, and gain results are also presented in this paper. The application of this antenna is extended to the wireless powering domain. Investigations were carried out placing the Circular Reconfigurable Antenna and a dipole antenna inside a concrete block. In separate instances, a dipole antenna and another Circular Reconfigurable Antenna were placed above the concrete block and the currents on the surface of the antennas were measured. All results presented in this paper were obtained using HFSS.


## 2. CRA

The Circular Reconfigurable Antenna (CRA) shown in Figure1 contains a circular patch of radius 18.6 mm at the center. Three concentric circular rings are placed around the circular patch. Each concentric circular ring is connected to the next circular ring through four more switches. The concentric circular rings have a radius of 13 mm at a distance of 1 mm around it. This antenna was placed as shown in Figure 1 on top of a substrate of dimensions 148.8 mm × 148.8 mm and thickness 1.5748 mm.Figure 1
The Circular Reconfigurable Antenna (CRA).The design equations [3] of a Circular Patch Antenna are given below:(1)a=F1+2h/πϵrFln⁡πF/2h+1.77261/2,where(2)F=8.791×109frϵr,a is the radius of the Circular Patch Antenna.The CRA was designed with the idea that if the radius of the antenna could be increased using switches then the resonating frequency of the antenna could also change. The CRA has four iterations. In the first iteration, only the circular patch is radiating and all the switches are open. In the second iteration, the first set of four switches are on. Thus, the first concentric circular ring and the circular patch are radiating. In the third and the fourth iterations, the third and the fourth set of switches are on. Thus, the third and the fourth concentric circular rings are also radiating. Using the above design equations, the central circular patch can be designed for any frequency band (MHz, GHz, or THz) and the concentric rings can be used to vary the frequency of resonance.


## 3. CRA with RF MEMS Switches

In [4], the three-dimensional geometry of shunt capacitive RF MEMS switches was analyzed performing a full wave analysis. The CRA was analyzed in the fourth iteration by using the equivalent lumped circuit [4] model shown in Figure 2 for different geometries. A switch of dimensions [4] 280 µm × 120 µm is used along with the CRA as shown in Figure 3. The equivalent circuit values [4] are inductance of 5.03 pH, capacitance of 9.31 pF, and resistance of 0.034 ohm in the ON state.Figure 2
Equivalent circuit model of the capacitive RF MEMS switches [7].Figure 3
RF MEMS switches in the layout of the antenna.


## 4. Concrete

The permittivity of a concrete block [1, 5] shown in Figure 4 has been modeled assuming that it is lossy dielectric and that a slab has a real part and an imaginary part. The permittivity of a concrete block shown in Figure 4 can be written as(3)ε^=ε′-ε′′,where ε′ is the real part of complex permittivity of a concrete block and ε′′ is the imaginary part of permittivity of a concrete block. By modeling a concrete block as a Debye material [1, 5], its frequency dependent complex relative permittivity obeys the following equation:(4)ε^ω=ε′ω-ε′′ω.Figure 4
Relative permittivity of concrete for 12% moisture content [1, 5].The concrete model used in these investigations contains a moisture content of 12%. A CRA antenna and a dipole were placed inside a concrete block and the surface of the concrete block was excited using another CRA antenna and a dipole antenna.


## 5. Current Consumption of Typical Sensors

A temperature sensor [1, 6] consumes 300 µA (µ = Micro = 10−6) for 50 μSec for a stable reading every five seconds, and a humidity sensor consumes 2.8 mA for 150 msec for a stable reading every thirty seconds. The radio frequency energy incident on the receiving antenna has to be converted to electrical energy [6] to enable wireless powering.


## 6. CRA Results

While simulating the CRA, open circuit was used when the switches were off and the patches were shorted when the switches were on. Figures5 and 6 show the input reflection coefficient S11 for the CRA iterations 1, 2, 3, and 4. The VSWR plots for the CRA iterations 1–4 are shown in Figures 7, 8, 9, and 10. The VSWR values for certain frequencies are very high, so the maximum value of 10 was chosen on the y-axis. This is the reason the VSWR values which are more than 10 are not visible in Figures 7, 8, 9, and 10. The antenna has a number of resonating frequencies from 3 to 9.5 GHz. The resonating frequency is given at every peak in the input reflection coefficient graphs. The VSWR dips below 2 for the corresponding resonating frequency.Figure 5
S
11 versus frequency (GHz).Figure 6
S
11 versus frequency (GHz).Figure 7
VSWR for iteration 1.Figure 8
VSWR for iteration 2.Figure 9
VSWR for iteration 3.Figure 10
VSWR for iteration 4.As seen in Figures5, 6, 7, 8, 9, and 10, when an iteration was added to the CRA, the resonating frequencies were changing. The resonating frequencies for all the iterations are given in Table 1.Table 1
Resonating frequencies of the CRA.
Iteration
Number of resonating frequencies
Resonating frequencies (GHz)
1
3
3.04, 6.4, 7.03
2
4
6.55, 6.85, 8.92, 9.04
3
5
6.58, 6.67, 6.97, 8.5, 9.13
4
4
4.27, 6.64, 6.91, 8.44, 9.13The radiation patterns and 3D and 2D gains of the CRA were plotted for 3.04 GHz (iteration 1), 6.55 GHz (iteration 2), 8.5 GHz (iteration 3), and 8.44 GHz (iteration 4) using HFSS and presented in this paper (Figures11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, and 22).Figure 11
Directivity of the CRA for the first iteration at 3.04 GHz.Figure 12
3D gain of the CRA for the first iteration at 3.04 GHz.Figure 13
2D gain of the CRA for the first iteration at 3.04 GHz.Figure 14
Directivity of the CRA for the second iteration at 6.55 GHz.Figure 15
3D gain of the CRA for the second iteration at 6.55 GHz.Figure 16
2D gain of the CRA for the second iteration at 6.55 GHz.Figure 17
Directivity of the CRA for the third iteration at a frequency of 8.5 GHz.Figure 18
3D gain of the CRA for the third iteration at 8.5 GHz.Figure 19
2D gain of the CRA for the third iteration at 8.5 GHz.Figure 20
Directivity of the CRA for the fourth iteration at 8.44 GHz.Figure 21
3D gain of the CRA for the fourth iteration at 8.44 GHz.Figure 22
2D gain of the CRA for the fourth iteration at 8.44 GHz.


## 7. CRA with RF MEMS Switches Results

The input reflection coefficientS11 for the fourth iteration using RF MEMS switches shown in Figure 3 was plotted. This simulations result shown in Figure 22 was obtained using HFSS and is almost the same as the input reflection coefficient S11 for the CRA in the fourth iteration from 6 to 10 GHz. A resonant frequency of 4.27 GHz is however missing. These results confirm the theory that circuit elements can be used in HFSS to simulate RF MEMS switches [4, 7] in the ON state (Figure 23).Figure 23
S
11 (RF MEMS switches) versus frequency (GHz).


## 8. Wireless Powering in a Concrete Block

Three cases were chosen as shown in Table2. A concrete block of 300 mm × 300 mm × 23 mm was chosen. The receiver antenna was placed 20 mm inside the concrete block of 12% humidity. A transmitting antenna was placed 100 mm outside the concrete block. This arrangement is shown in Figure 24. As stated earlier, the concrete block was simulated in HFSS as a Debye model [1, 5]. The attenuation of the concrete block is very high at high frequencies [8, 9]. The dipole used was designed to resonate at a frequency of 500 MHz and the best resonant frequency of 6.64 GHz (iteration 4) shown in Figure 6 was used for the CRA. An input peak current of 10.75798 A was provided to the transmitter using HFSS. The currents measured using HFSS on the surface of the receiver antenna are shown in Table 3.Table 2
The three cases.
Case
Frequency (GHz)
Transmitter
Receiver
1
0.5
Dipole
Dipole
2
0.5
Dipole
CRA
3
6.64
CRA
CRATable 3
Received currents.
Case
Input peak current (A)
Received peak current (A)
1
10.75798
0.3756
2
10.75798
0.0238
3
10.75798
0.3176Figure 24
Case 3 layout.Even though the CRA in Case 3 is being excited by a very high frequency of 6.64 GHz, the received current shown in Table3 is almost the same as Case 1. The received current was shown to be more than sufficient to power sensors. The use of the CRA antenna is allowing typical wireless sensors shown in Section 5 to be powered at high frequencies which in earlier publication results [1, 9] was shown to be very difficult.


## 9. Conclusions

The CRA antenna can be designed for any frequency band. The gain and the radiation pattern of the CRA antenna can be changed by using the switches and changing the iterations. The input reflection coefficientS11 was shown with RF MEMS switches and the ability of the antenna was verified. The CRA antenna can also be used to power sensors at low as well as high frequencies. The currents received in a concrete slab by the CRA have been presented for the first time in this paper.



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*Source: 413642-2015-10-01.xml*