# Compact Circularly Polarized Multiband Antennas for RFID Applications

Authors: H. M. El Misilmani; M. Al-Husseini; K. Y. Kabalan; A. El-Hajj
Journal: International Journal of Antennas and Propagation
 (2014)

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## Abstract

This paper presents multiband circularly polarized (CP) antennas for
radio frequency identification (RFID). A coax-fed and a microstrip-line-fed antennas having optimized cross-slots in their patches are first
designed for dual-band CP operation. The microstrip-line-fed design is then modified, by incorporating a U-shaped slot in its partial ground
plane, to achieve additional operation band with a CP characteristic. Simulation and measured results of the presented designs are reported.
The measured results are in accordance with the computed ones. The compact size and CP property make these designs suitable for RFID
applications.


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## Body

## 1. Introduction

Radio frequency identification (RFID) is dominating the new technologies through its advantage of using wireless noncontact radio communication, using radio frequency electromagnetic fields, to transfer data and information radio waves from a tag attached to an object, for the purposes of automatic identification and tracking [1]. RFID system consists of a reader (or interrogator), a tag (or transponder), and antennas. Designing antennas for RFID readers necessitates wideband, reconfigurable band, or multiband performance with circular polarization. The wideband, reconfigurable band, and the multiband are used to make the system operable in different applications and standards where circular polarization is meant to overcome problems such as absorption, phasing issues, multiphases, inclement weather, and line-of-sight path [2, 3]. UWB antennas have the advantage of covering a very wide frequency range, but they are prone to noise from unwanted frequencies, which could degrade the original message [3]. On the other hand, reconfigurable antennas are designed to be able to control the resonance of the antenna and limit the disadvantage of UWB antennas. These reconfigurable antennas are complex as they require the use of switching elements and their biasing lines or other complicated reconfiguration mechanisms [3].The resonant frequencies of the proposed antenna lie in the microwave frequency range. Karmakar et al. presented in [4] the development of a low-cost active RFID tag using an annular ring-slot antenna working at 2.4 GHz. Cao et al. presented a Minkowski fractal reader antenna composed of three layers, designed for handheld RFID reader systems working at 2.425 GHz in [5]. In [6], Pitukwerakul et al. presented a channel of wooden and metal book shelves modeled for RFID library management system using microstrip antennas as both transmitter and receiver antennas working at 2.45 GHz. Popplewell et al. presented in [7] a completely integrated 5.2 GHz BFSK RFID transceiver suitable for RFID and medical sensor applications. In [8], Thiruvalar Selvan and Raghavan presented a coplanar-waveguide-fed spiral monopole antenna for RFID applications at 5.8 GHz. A small, low-cost hairpin antenna-in-package concept for RFID applications working around 6 GHz is presented by Papatheologou et al. in [9].Multiband circularly polarized (CP) antennas can be thought of as an intermediate solution combining simplicity and multifrequency operation. The advantage of the multiband circularly polarized antennas is to be able to integrate several frequency bands on one single antenna, making it useful for several frequency ranges. These multiband antennas could contain frequency ranges from several wireless applications, and hence the antenna could be used for several applications [10]. Another important feature in designing these antennas, achievable with the use of microstrip antennas, is to make them compact, lightweight, and low-cost antennas [11].Due to the previously discussed advantages of multiband antennas, several designs with dual-band operation and circular polarization over the two bands have been presented. Achieving dual-band CP operation is a challenging task, especially when the ratio of the center frequencies of the two bands is large, that is when the two bands are spaced apart in the spectrum. Chen and Yung [12] proposed a unidirectional dual-band circularly polarized antenna working in 1.43–1.55 and 2.09–2.53 GHz bands, by loading a pair of L-shaped stubs outside a truncated patch. Heikkinen and Kivikoski [13] presented a dual-band CP microstrip-fed shorted ring-slot rectenna working at 2.45 and 5.8 GHz where two shorted annular ring-slot antennas are combined in order to achieve a dual-CP operation. A dual-band circularly polarized microstrip antenna for China’s Compass Navigation Satellite System is proposed by Bo et al. [14], with two pairs of T-shaped slots embedded close to the edge of the circular patch for achieving dual-band circularly polarized operation in two frequency bands 1610–1626 MHz and 2483–2500 MHz. Liao et al. [15] presented a compact single-feed dual-band circularly polarized patch antenna with small frequency ratio consisting of an unequal cross-slot embedded in a circular patch and a narrow annular ring operating at 1.70 and 1.57 GHz. A dual-frequency circularly polarized microstrip antenna is also proposed by Wang [16]. The suggested antenna, operating at 1.575 GHz and 2.492 GHz, has a structure of two microstrip board layers, employing two circular patches which have different radius in order to achieve the dual-band resonance [16]. Nayeri et al. [17] presented a single-feed dual-band circularly polarized microstrip antenna with a dual-stacked-patch configuration. The dual-CP operation is achieved by using asymmetrical U-slots on the patches and the antenna is operating at 3.5 and 5.8 GHz. Qian and Tang [18] presented a dual-band circularly polarized multilayer microstrip antenna for 3.5 and 5.2 GHz. In the proposed antenna, a stacked-patch configuration is used along with truncated corners and inserted slits of the hexagonal patches in order to achieve the dual-CP operation.For RFID applications, a dual-band circularly polarized RFID antenna utilizing the feeding network with Wilkinson power divider is proposed by Shin et al. [19]. The design consists of two square radiating patches, an isolator for dual-band performance, a bottom ground plane, and microstrip feeding networks. The antenna is operating in the 860–960 MHz and 2.4–2.48 GHz bands. Jung and Lee [20] presented a dual-band circularly polarized aperture coupled microstrip RFID antenna using a metamaterial (MTM) branch-line coupler. The proposed antenna operates at 920 MHz and 2.45 GHz. The radiating patch antenna is fed by the two output lines of the designed dual-band MTM branch-line coupler through two slots, and a cross-slot is implemented at the center of the radiating patch to enhance isolation. On the ground plane the slots are positioned in a T-shape in order to increase the isolation.Since the design goal is heading towards compact lightweight antennas, and due to the advantages of multiband antennas and circular polarization type previously discussed, the goal of this paper is to combine the multiband with circular polarization and study the design of several multiband circularly polarized antennas for RFIDs. Accordingly, this paper presents novel multiband circularly polarized antennas for radio frequency identification (RFID). The paper starts with a procedural overview on obtaining a dual-band characteristic along with dual-band circular polarization and move to present a multiband circularly polarized antenna. The antennas were simulated, fabricated, and tested. Similarity between the measured and the simulated results is shown in all cases.


## 2. Design, Simulations, and Results

### 2.1. Coax-Fed Dual-Band Circularly Polarized Antenna

The first antenna is based on a coax-fed circular patch with radiusR1 printed on an FR4 substrate with dimensions of 50×50mm2, a thickness of 1.6 mm, and a dielectric constant ϵr of 4.4. A cross-slot with two arms of lengths L1 and L2 and widths W1 and W2 is incorporated on the patch. The configuration of this design is shown in Figure 1.Figure 1
Configuration and parametrized dimensions of the coax-fed dual-band CP antenna.The circular polarization operation is generated when two degenerate orthogonal linearly polarized modes, of equal amplitude and90∘ phase difference, are independently excited. The cross-slot adopted here is one method that can lead to this operation, as a result of the reflection of the signals from the cross-arms with a 90∘ phase shift, which results in CP radiation. However, to guarantee the CP operation, the arm lengths of the cross-slot have to be optimized, while preserving the sought resonance frequencies. Studies have shown that, to obtain CP, the lengths of the two arms should not be equal, or else the antenna will operate with a linear polarization.Comparing the objective of this paper and the antenna introduced in [15], the difficulty in our case is to be able to achieve resonance in the 2.4 GHz and a higher frequency in the 5.2–5.95 GHz band (large frequency ratio), which will require some heavy work on the parameters of the antenna, where each change in one parameter will affect not only the resonance frequency but the circular polarization as well. The antenna presented in [15] has equal arm widths and very close arm lengths in order to achieve a small frequency ratio of 1.1.


### 2.2. Parametric Study

#### 2.2.1. Choosing the Appropriate RadiusR1

The first step in our design is to choose the appropriate radius to start with. Starting from a length of 10 mm for each arm of the cross-slot with a width of 1 mm for each and a feed gap of 2 mm, varying the radius of the patchR1 starting from 13.5 mm to 18.5, the best radius to start with is that of 15.5 mm, giving two resonance frequencies in two bands that could be used for RFID, at 2.4 GHz and in the 5.2–5.3 GHz band, as shown in Figure 2.Figure 2
Simulations for different values of circular patch radius.


#### 2.2.2. Choosing the Appropriate Feed Gap

In the second step, the feed gap or the gap between the feeder and the center of the circular patch is investigated. The values for the length and width of the two arms are kept fixed, that is, 10 mm and 1 mm respectively. The value ofR1 is set to 15.5 mm, which is obtained from the optimization in Section 2.2.1. Simulating the design while varying the feed gap value from 0.5 mm to 3 mm, the resonance frequency is seen to be stable with little variations. As a result, the feed gap value of choice is one that results in similarly low S11 values for the two frequency bands. This value is found to be 2 mm.


#### 2.2.3. Studying the Effect of Arms Lengths

After choosing the value of the radius and feed gap, it is now feasible to study the effect of arms lengths. As stated above, the cross is one of the methods that could be used to get circular polarization. However the cross by itself cannot give circular polarization unless some specifications are taken into consideration. One of these specifications is the arm length. In order to have circular polarization the lengths of the two arms of the cross should not be equal. A simulation with equal arms lengths of 10 mm resulted in axial ratio of >17.3 dB over all the frequency range and thus no circular polarization operation is achieved. In addition, each length is responsible for the frequency where a circular polarization is achieved, as will be seen in the following sections. The CP will result from the different lengths of the two perpendicular arms reflecting the current from the coaxial feed in 90-degree phase shift achieving circular polarization operation.


### 2.3. How to Get Dual-Band and Circular Polarization

The goal now is to achieve two resonance frequencies and circular polarization at 2.4 GHz. Following are the methods and steps which will be used:(i)
vary the length of arm 1 (L1),(ii)
vary the length of arm 2 (L2),(iii)
vary the width of arm 1 (W1),(iv)
vary the width of arm 2 (W2).


#### 2.3.1. Vary the Length of Arm 1 (L1)

Varying the length of arm 1 (L1) and keeping the other parameters constant, the best value to get circular polarization at approximately 2.4 GHz with resonance at 2.4 GHz and in the 5.4–5.575 GHz band was noticed to be 15 mm. In order to achieve an additional circular polarization operation in one frequency of the 5.2–5.95 GHz band and enhance the circular polarization operation achieved at 2.4 GHz, the above mentioned steps are processed while keeping L1=15 mm. The difficulty in this situation is that every parameter (L1, L2, W1, and W2) will have major effect on the resonance and circular polarization operation.


#### 2.3.2. Vary the Length of Arm 2 (L2)

Keeping the widths of the two arms equal to 1 mm and varying the length of arm 2 (L2) while keeping the first one (L1) equal to 15 mm, the best result is achieved at L2 equal to 11.75 mm. The antenna has three resonance frequencies, at 2.4, 5.4–5.6, and 5.95 GHz (RFID frequencies), for which two of them have CP, 2.4 and 5.95 GHz.


#### 2.3.3. Vary the Width of Arm 2 (W2)

In order to further enhance the CP results, the two widths of armsW1 and W2 are changed. Starting with varying the width of arm (W2) while keeping the width of arm 1 equal to 1 mm, the best results are achieved with the parameters presented in Table 1 (Case  1), for which the value of the lengths of arm 1 and arm 2 (L1 and L2) had to be changed as well to accommodate for the change in the width of arm 2 (W2). The antenna has three resonance frequencies, at 2.4, 5.4–5.6, and 5.95–6 GHz (RFID frequencies), for which two of them have CP, at 2.4 and 5.95–6.03 GHz.Table 1
The parameters of the three coax-fed dual-band antenna cases.
Parameters
Case  1
Case  2
Size (mm)
Size (mm)
Arm 1 length(L1)
15.25
15.25
Arm 2 length (L2)
12
12
Arm 1 width (W1)
1
0.9
Arm 2 width (W2)
0.8
0.6


#### 2.3.4. Vary the Width of Arm 1 (W1)

After varying the length of arm 1 (L1), then the length of the second arm (L2), and then the width of arm 2 (W2) and after achieving two designs working on dual-frequency bands with circular polarization, in this step the width of arm 1 (W1) is varied. It is important to note here that changing the value of the width of the second arm will affect the total results, and thus some enhancement in the other parameters should be done in order to achieve the dual-band and circular polarization operation. Focusing on the widths parameters, it is seen that a dual-band characteristic with circular polarization could be achieved by the use of 0.9 mm and 0.6 mm values for arm 1 and 2 widths, respectively. Table 1 (Case  2) lists the parameters of this second dual-band CP antenna design having dual-band resonance with circular polarization at 2.425 and 5.325 GHz.The corresponding reflection coefficient S11 and axial ratio results for the two final dual-band antennas are shown in Figures3(a) and 3(b). Case  1 has resonance frequencies and CP in the 2.4 and the 5.95–6 GHz bands (both can be used for RFIDs). Case  2 reveals that a small change in the cross-slot widths leads to a variation in the circular polarization operation in the higher band, where the new CP is achieved at 5.325 GHz instead of 5.95 GHz.Coax-fed dual-band CP antenna S11 and axial ratio results.
(a)
Reflection coefficient S11
(b)
Axial ratio


### 2.4. Microstrip-Line-Fed Dual-Band Circularly Polarized Antenna

The second antenna is based on a microstrip-line feed and also has a cross-slot incorporated in a circular patch. An initial design of this antenna is shown in Figure4(a). Simulating the new design using the parameters listed in Table 2 resulted in poor S11 and axial ratio results compared to those of the coax-fed dual-band antenna designed in Section 2.1. To obtain dual-band CP operation with this design, the cross-slot dimensions have to be optimized but this requires bulky work, or, as we did, the feed-patch connection could be further enhanced. Using the feed line in Figure 4(a) a large portion of EM waves is confined in the end part of the feed, and this degrades the S11 and the axial ratio results. To accommodate for this issue and allow larger portion of EM to reach the cross, curved edges were added to the end of feed line as shown in Figure 4(b). In this way, more EM waves are now reaching the cross to be able to get good resonance and circular polarization results. This smooth transition between the microstrip feed and the patch helps to improve the S11 parameter, and with the two arms of the slot having different lengths, CP operation in two bands can be obtained.Table 2
Dual-band antenna parameters.
Parameter
Size (mm)
R
1
15.5
W
f
3
L
f
12.06
Arm 1 length  (L1)
15.25
Arm 2 length  (L2)
11.75
Arm 1 width (W1)
1
Arm 2 width (W2)
1New dual-band design with microstrip feed line.
(a)
Initial microstrip feed line
(b)
Enhanced microstrip feed lineSimulating the enhanced antenna with the parameters indicated in Table2, two resonance frequencies have been achieved, one in 2.38–2.45 GHz band and another in 5.2–5.375 GHz both with circular polarization, as shown in Figures 5(a) and 5(b).Dual- versus multiband microstrip-fed antennas S11 and axial ratio simulated results.
(a)
Reflection coefficient
(b)
Axial ratio


### 2.5. Microstrip-Line-Fed Multiband Circularly Polarized Antenna

The first two antennas were dual-band CP. This third design aims at having CP in a third band. This can be done through defecting the ground plane by etching a U-shaped slot, as the one used by the author in [21]. This slot in the ground is used to radiate in an additional frequency according to the its dimensions. Care should be taken to properly design this slot to have resonance and CP at the added resonant frequency. In this case, the slot dimensions have been optimized to have resonance at 5.85 and 5.95 GHz.Investigating the effect of the slot on the operation of the antenna, the optimal performance was seen with the design and parameters shown in Figure6(a). The fabricated antenna is shown in Figures 6(b) and 6(c). The compared dual- and multiband S11 and axial ratio simulated results are shown in Figure 5. Clearly, an additional band has been added to the operating bands of the antenna in the range of 5.8 to 5.95 GHz. Also, the measured and simulated S11 and axial ratio results of the multiband antenna are shown in Figures 7(a) and 7(b). The gain patterns, simulated and measured, at each resonant frequency, are indicated in Figure 8. As can be seen, the antenna has directional patterns, with gain of 3.257, 2.218, 3.406, and 3.703 dB at 2.4, 5.25, 5.85, and 5.95 GHz, respectively. The antenna is RHCP, with the current distribution at different resonant frequencies being also shown in Figures 9 and 10. The antenna efficiency ranges between 43.03% and 50.21%.Multiband antenna, (a) antenna parameters, and fabricated antenna: (b) top view and (c) bottom view.
(a)
Antenna parameters
(b)
Fabricated: top view
(c)
Fabricated: bottom viewMultiband CP antenna S11 and axial ratio simulated versus measured results.
(a)
Reflection coefficient
(b)
Axial ratioGain patterns at different resonant frequencies in both E- and H-planes.
(a)
2.4 GHz,ϕ=0∘
(b)
2.4 GHz,ϕ=90∘
(c)
5.25 GHz,ϕ=0∘
(d)
5.25 GHz,ϕ=90∘
(e)
5.85 GHz,ϕ=0∘
(f)
5.85 GHz,ϕ=90∘
(g)
5.95 GHz,ϕ=0∘
(h)
5.95 GHz,ϕ=90∘Current distribution at 2.4 and 5.25 GHz resonant frequencies for different phases.
(a)
2.4 GHz, phase = 0°
(b)
2.4 GHz, phase = 90°
(c)
2.4 GHz, phase = 180°
(d)
2.4 GHz, phase = 270°
(e)
5.25 GHz, phase = 0°
(f)
5.25 GHz, phase = 90°
(g)
5.25 GHz, phase = 180°
(h)
5.25 GHz, phase = 270°Current distribution at 5.85 and 5.95 GHz resonant frequencies for different phases.
(a)
5.85 GHz, phase = 0°
(b)
5.85 GHz, phase = 90°
(c)
5.85 GHz, phase = 180°
(d)
5.85 GHz, phase = 270°
(e)
5.95 GHz, phase = 0°
(f)
5.95 GHz, phase = 90°
(g)
5.95 GHz, phase = 180°
(h)
5.95 GHz, phase = 270°As can be seen, a good analogy is revealed between the simulated and measured results, and a new multiband circularly polarized antenna is achieved, operating at 2.4, 5.25, 5.85, and 5.95 GHz, making it suitable for multiband circularly polarized RFID applications operating at these frequencies. The 2.4 and 5.25 GHz resonant frequencies with circular polarization have been accomplished through the use of different arms lengths and widths of a cross-slot embedded on a circular patch fed by a microstrip feed line. The higher resonant frequencies, 5.85 and 5.95 GHz with circular polarization, have been achieved through etching the ground by U-slot shape.


## 2.1. Coax-Fed Dual-Band Circularly Polarized Antenna

The first antenna is based on a coax-fed circular patch with radiusR1 printed on an FR4 substrate with dimensions of 50×50mm2, a thickness of 1.6 mm, and a dielectric constant ϵr of 4.4. A cross-slot with two arms of lengths L1 and L2 and widths W1 and W2 is incorporated on the patch. The configuration of this design is shown in Figure 1.Figure 1
Configuration and parametrized dimensions of the coax-fed dual-band CP antenna.The circular polarization operation is generated when two degenerate orthogonal linearly polarized modes, of equal amplitude and90∘ phase difference, are independently excited. The cross-slot adopted here is one method that can lead to this operation, as a result of the reflection of the signals from the cross-arms with a 90∘ phase shift, which results in CP radiation. However, to guarantee the CP operation, the arm lengths of the cross-slot have to be optimized, while preserving the sought resonance frequencies. Studies have shown that, to obtain CP, the lengths of the two arms should not be equal, or else the antenna will operate with a linear polarization.Comparing the objective of this paper and the antenna introduced in [15], the difficulty in our case is to be able to achieve resonance in the 2.4 GHz and a higher frequency in the 5.2–5.95 GHz band (large frequency ratio), which will require some heavy work on the parameters of the antenna, where each change in one parameter will affect not only the resonance frequency but the circular polarization as well. The antenna presented in [15] has equal arm widths and very close arm lengths in order to achieve a small frequency ratio of 1.1.


## 2.2. Parametric Study

### 2.2.1. Choosing the Appropriate RadiusR1

The first step in our design is to choose the appropriate radius to start with. Starting from a length of 10 mm for each arm of the cross-slot with a width of 1 mm for each and a feed gap of 2 mm, varying the radius of the patchR1 starting from 13.5 mm to 18.5, the best radius to start with is that of 15.5 mm, giving two resonance frequencies in two bands that could be used for RFID, at 2.4 GHz and in the 5.2–5.3 GHz band, as shown in Figure 2.Figure 2
Simulations for different values of circular patch radius.


### 2.2.2. Choosing the Appropriate Feed Gap

In the second step, the feed gap or the gap between the feeder and the center of the circular patch is investigated. The values for the length and width of the two arms are kept fixed, that is, 10 mm and 1 mm respectively. The value ofR1 is set to 15.5 mm, which is obtained from the optimization in Section 2.2.1. Simulating the design while varying the feed gap value from 0.5 mm to 3 mm, the resonance frequency is seen to be stable with little variations. As a result, the feed gap value of choice is one that results in similarly low S11 values for the two frequency bands. This value is found to be 2 mm.


### 2.2.3. Studying the Effect of Arms Lengths

After choosing the value of the radius and feed gap, it is now feasible to study the effect of arms lengths. As stated above, the cross is one of the methods that could be used to get circular polarization. However the cross by itself cannot give circular polarization unless some specifications are taken into consideration. One of these specifications is the arm length. In order to have circular polarization the lengths of the two arms of the cross should not be equal. A simulation with equal arms lengths of 10 mm resulted in axial ratio of >17.3 dB over all the frequency range and thus no circular polarization operation is achieved. In addition, each length is responsible for the frequency where a circular polarization is achieved, as will be seen in the following sections. The CP will result from the different lengths of the two perpendicular arms reflecting the current from the coaxial feed in 90-degree phase shift achieving circular polarization operation.


## 2.2.1. Choosing the Appropriate RadiusR1

The first step in our design is to choose the appropriate radius to start with. Starting from a length of 10 mm for each arm of the cross-slot with a width of 1 mm for each and a feed gap of 2 mm, varying the radius of the patchR1 starting from 13.5 mm to 18.5, the best radius to start with is that of 15.5 mm, giving two resonance frequencies in two bands that could be used for RFID, at 2.4 GHz and in the 5.2–5.3 GHz band, as shown in Figure 2.Figure 2
Simulations for different values of circular patch radius.


## 2.2.2. Choosing the Appropriate Feed Gap

In the second step, the feed gap or the gap between the feeder and the center of the circular patch is investigated. The values for the length and width of the two arms are kept fixed, that is, 10 mm and 1 mm respectively. The value ofR1 is set to 15.5 mm, which is obtained from the optimization in Section 2.2.1. Simulating the design while varying the feed gap value from 0.5 mm to 3 mm, the resonance frequency is seen to be stable with little variations. As a result, the feed gap value of choice is one that results in similarly low S11 values for the two frequency bands. This value is found to be 2 mm.


## 2.2.3. Studying the Effect of Arms Lengths

After choosing the value of the radius and feed gap, it is now feasible to study the effect of arms lengths. As stated above, the cross is one of the methods that could be used to get circular polarization. However the cross by itself cannot give circular polarization unless some specifications are taken into consideration. One of these specifications is the arm length. In order to have circular polarization the lengths of the two arms of the cross should not be equal. A simulation with equal arms lengths of 10 mm resulted in axial ratio of >17.3 dB over all the frequency range and thus no circular polarization operation is achieved. In addition, each length is responsible for the frequency where a circular polarization is achieved, as will be seen in the following sections. The CP will result from the different lengths of the two perpendicular arms reflecting the current from the coaxial feed in 90-degree phase shift achieving circular polarization operation.


## 2.3. How to Get Dual-Band and Circular Polarization

The goal now is to achieve two resonance frequencies and circular polarization at 2.4 GHz. Following are the methods and steps which will be used:(i)
vary the length of arm 1 (L1),(ii)
vary the length of arm 2 (L2),(iii)
vary the width of arm 1 (W1),(iv)
vary the width of arm 2 (W2).


### 2.3.1. Vary the Length of Arm 1 (L1)

Varying the length of arm 1 (L1) and keeping the other parameters constant, the best value to get circular polarization at approximately 2.4 GHz with resonance at 2.4 GHz and in the 5.4–5.575 GHz band was noticed to be 15 mm. In order to achieve an additional circular polarization operation in one frequency of the 5.2–5.95 GHz band and enhance the circular polarization operation achieved at 2.4 GHz, the above mentioned steps are processed while keeping L1=15 mm. The difficulty in this situation is that every parameter (L1, L2, W1, and W2) will have major effect on the resonance and circular polarization operation.


### 2.3.2. Vary the Length of Arm 2 (L2)

Keeping the widths of the two arms equal to 1 mm and varying the length of arm 2 (L2) while keeping the first one (L1) equal to 15 mm, the best result is achieved at L2 equal to 11.75 mm. The antenna has three resonance frequencies, at 2.4, 5.4–5.6, and 5.95 GHz (RFID frequencies), for which two of them have CP, 2.4 and 5.95 GHz.


### 2.3.3. Vary the Width of Arm 2 (W2)

In order to further enhance the CP results, the two widths of armsW1 and W2 are changed. Starting with varying the width of arm (W2) while keeping the width of arm 1 equal to 1 mm, the best results are achieved with the parameters presented in Table 1 (Case  1), for which the value of the lengths of arm 1 and arm 2 (L1 and L2) had to be changed as well to accommodate for the change in the width of arm 2 (W2). The antenna has three resonance frequencies, at 2.4, 5.4–5.6, and 5.95–6 GHz (RFID frequencies), for which two of them have CP, at 2.4 and 5.95–6.03 GHz.Table 1
The parameters of the three coax-fed dual-band antenna cases.
Parameters
Case  1
Case  2
Size (mm)
Size (mm)
Arm 1 length(L1)
15.25
15.25
Arm 2 length (L2)
12
12
Arm 1 width (W1)
1
0.9
Arm 2 width (W2)
0.8
0.6


### 2.3.4. Vary the Width of Arm 1 (W1)

After varying the length of arm 1 (L1), then the length of the second arm (L2), and then the width of arm 2 (W2) and after achieving two designs working on dual-frequency bands with circular polarization, in this step the width of arm 1 (W1) is varied. It is important to note here that changing the value of the width of the second arm will affect the total results, and thus some enhancement in the other parameters should be done in order to achieve the dual-band and circular polarization operation. Focusing on the widths parameters, it is seen that a dual-band characteristic with circular polarization could be achieved by the use of 0.9 mm and 0.6 mm values for arm 1 and 2 widths, respectively. Table 1 (Case  2) lists the parameters of this second dual-band CP antenna design having dual-band resonance with circular polarization at 2.425 and 5.325 GHz.The corresponding reflection coefficient S11 and axial ratio results for the two final dual-band antennas are shown in Figures3(a) and 3(b). Case  1 has resonance frequencies and CP in the 2.4 and the 5.95–6 GHz bands (both can be used for RFIDs). Case  2 reveals that a small change in the cross-slot widths leads to a variation in the circular polarization operation in the higher band, where the new CP is achieved at 5.325 GHz instead of 5.95 GHz.Coax-fed dual-band CP antenna S11 and axial ratio results.
(a)
Reflection coefficient S11
(b)
Axial ratio


## 2.3.1. Vary the Length of Arm 1 (L1)

Varying the length of arm 1 (L1) and keeping the other parameters constant, the best value to get circular polarization at approximately 2.4 GHz with resonance at 2.4 GHz and in the 5.4–5.575 GHz band was noticed to be 15 mm. In order to achieve an additional circular polarization operation in one frequency of the 5.2–5.95 GHz band and enhance the circular polarization operation achieved at 2.4 GHz, the above mentioned steps are processed while keeping L1=15 mm. The difficulty in this situation is that every parameter (L1, L2, W1, and W2) will have major effect on the resonance and circular polarization operation.


## 2.3.2. Vary the Length of Arm 2 (L2)

Keeping the widths of the two arms equal to 1 mm and varying the length of arm 2 (L2) while keeping the first one (L1) equal to 15 mm, the best result is achieved at L2 equal to 11.75 mm. The antenna has three resonance frequencies, at 2.4, 5.4–5.6, and 5.95 GHz (RFID frequencies), for which two of them have CP, 2.4 and 5.95 GHz.


## 2.3.3. Vary the Width of Arm 2 (W2)

In order to further enhance the CP results, the two widths of armsW1 and W2 are changed. Starting with varying the width of arm (W2) while keeping the width of arm 1 equal to 1 mm, the best results are achieved with the parameters presented in Table 1 (Case  1), for which the value of the lengths of arm 1 and arm 2 (L1 and L2) had to be changed as well to accommodate for the change in the width of arm 2 (W2). The antenna has three resonance frequencies, at 2.4, 5.4–5.6, and 5.95–6 GHz (RFID frequencies), for which two of them have CP, at 2.4 and 5.95–6.03 GHz.Table 1
The parameters of the three coax-fed dual-band antenna cases.
Parameters
Case  1
Case  2
Size (mm)
Size (mm)
Arm 1 length(L1)
15.25
15.25
Arm 2 length (L2)
12
12
Arm 1 width (W1)
1
0.9
Arm 2 width (W2)
0.8
0.6


## 2.3.4. Vary the Width of Arm 1 (W1)

After varying the length of arm 1 (L1), then the length of the second arm (L2), and then the width of arm 2 (W2) and after achieving two designs working on dual-frequency bands with circular polarization, in this step the width of arm 1 (W1) is varied. It is important to note here that changing the value of the width of the second arm will affect the total results, and thus some enhancement in the other parameters should be done in order to achieve the dual-band and circular polarization operation. Focusing on the widths parameters, it is seen that a dual-band characteristic with circular polarization could be achieved by the use of 0.9 mm and 0.6 mm values for arm 1 and 2 widths, respectively. Table 1 (Case  2) lists the parameters of this second dual-band CP antenna design having dual-band resonance with circular polarization at 2.425 and 5.325 GHz.The corresponding reflection coefficient S11 and axial ratio results for the two final dual-band antennas are shown in Figures3(a) and 3(b). Case  1 has resonance frequencies and CP in the 2.4 and the 5.95–6 GHz bands (both can be used for RFIDs). Case  2 reveals that a small change in the cross-slot widths leads to a variation in the circular polarization operation in the higher band, where the new CP is achieved at 5.325 GHz instead of 5.95 GHz.Coax-fed dual-band CP antenna S11 and axial ratio results.
(a)
Reflection coefficient S11
(b)
Axial ratio


## 2.4. Microstrip-Line-Fed Dual-Band Circularly Polarized Antenna

The second antenna is based on a microstrip-line feed and also has a cross-slot incorporated in a circular patch. An initial design of this antenna is shown in Figure4(a). Simulating the new design using the parameters listed in Table 2 resulted in poor S11 and axial ratio results compared to those of the coax-fed dual-band antenna designed in Section 2.1. To obtain dual-band CP operation with this design, the cross-slot dimensions have to be optimized but this requires bulky work, or, as we did, the feed-patch connection could be further enhanced. Using the feed line in Figure 4(a) a large portion of EM waves is confined in the end part of the feed, and this degrades the S11 and the axial ratio results. To accommodate for this issue and allow larger portion of EM to reach the cross, curved edges were added to the end of feed line as shown in Figure 4(b). In this way, more EM waves are now reaching the cross to be able to get good resonance and circular polarization results. This smooth transition between the microstrip feed and the patch helps to improve the S11 parameter, and with the two arms of the slot having different lengths, CP operation in two bands can be obtained.Table 2
Dual-band antenna parameters.
Parameter
Size (mm)
R
1
15.5
W
f
3
L
f
12.06
Arm 1 length  (L1)
15.25
Arm 2 length  (L2)
11.75
Arm 1 width (W1)
1
Arm 2 width (W2)
1New dual-band design with microstrip feed line.
(a)
Initial microstrip feed line
(b)
Enhanced microstrip feed lineSimulating the enhanced antenna with the parameters indicated in Table2, two resonance frequencies have been achieved, one in 2.38–2.45 GHz band and another in 5.2–5.375 GHz both with circular polarization, as shown in Figures 5(a) and 5(b).Dual- versus multiband microstrip-fed antennas S11 and axial ratio simulated results.
(a)
Reflection coefficient
(b)
Axial ratio


## 2.5. Microstrip-Line-Fed Multiband Circularly Polarized Antenna

The first two antennas were dual-band CP. This third design aims at having CP in a third band. This can be done through defecting the ground plane by etching a U-shaped slot, as the one used by the author in [21]. This slot in the ground is used to radiate in an additional frequency according to the its dimensions. Care should be taken to properly design this slot to have resonance and CP at the added resonant frequency. In this case, the slot dimensions have been optimized to have resonance at 5.85 and 5.95 GHz.Investigating the effect of the slot on the operation of the antenna, the optimal performance was seen with the design and parameters shown in Figure6(a). The fabricated antenna is shown in Figures 6(b) and 6(c). The compared dual- and multiband S11 and axial ratio simulated results are shown in Figure 5. Clearly, an additional band has been added to the operating bands of the antenna in the range of 5.8 to 5.95 GHz. Also, the measured and simulated S11 and axial ratio results of the multiband antenna are shown in Figures 7(a) and 7(b). The gain patterns, simulated and measured, at each resonant frequency, are indicated in Figure 8. As can be seen, the antenna has directional patterns, with gain of 3.257, 2.218, 3.406, and 3.703 dB at 2.4, 5.25, 5.85, and 5.95 GHz, respectively. The antenna is RHCP, with the current distribution at different resonant frequencies being also shown in Figures 9 and 10. The antenna efficiency ranges between 43.03% and 50.21%.Multiband antenna, (a) antenna parameters, and fabricated antenna: (b) top view and (c) bottom view.
(a)
Antenna parameters
(b)
Fabricated: top view
(c)
Fabricated: bottom viewMultiband CP antenna S11 and axial ratio simulated versus measured results.
(a)
Reflection coefficient
(b)
Axial ratioGain patterns at different resonant frequencies in both E- and H-planes.
(a)
2.4 GHz,ϕ=0∘
(b)
2.4 GHz,ϕ=90∘
(c)
5.25 GHz,ϕ=0∘
(d)
5.25 GHz,ϕ=90∘
(e)
5.85 GHz,ϕ=0∘
(f)
5.85 GHz,ϕ=90∘
(g)
5.95 GHz,ϕ=0∘
(h)
5.95 GHz,ϕ=90∘Current distribution at 2.4 and 5.25 GHz resonant frequencies for different phases.
(a)
2.4 GHz, phase = 0°
(b)
2.4 GHz, phase = 90°
(c)
2.4 GHz, phase = 180°
(d)
2.4 GHz, phase = 270°
(e)
5.25 GHz, phase = 0°
(f)
5.25 GHz, phase = 90°
(g)
5.25 GHz, phase = 180°
(h)
5.25 GHz, phase = 270°Current distribution at 5.85 and 5.95 GHz resonant frequencies for different phases.
(a)
5.85 GHz, phase = 0°
(b)
5.85 GHz, phase = 90°
(c)
5.85 GHz, phase = 180°
(d)
5.85 GHz, phase = 270°
(e)
5.95 GHz, phase = 0°
(f)
5.95 GHz, phase = 90°
(g)
5.95 GHz, phase = 180°
(h)
5.95 GHz, phase = 270°As can be seen, a good analogy is revealed between the simulated and measured results, and a new multiband circularly polarized antenna is achieved, operating at 2.4, 5.25, 5.85, and 5.95 GHz, making it suitable for multiband circularly polarized RFID applications operating at these frequencies. The 2.4 and 5.25 GHz resonant frequencies with circular polarization have been accomplished through the use of different arms lengths and widths of a cross-slot embedded on a circular patch fed by a microstrip feed line. The higher resonant frequencies, 5.85 and 5.95 GHz with circular polarization, have been achieved through etching the ground by U-slot shape.


## 3. Conclusion

In this paper, compact dual- and multiband circularly polarized antennas for radio frequency identification (RFID) were presented. A coax-fed dual-band CP antenna was first designed with the use of cross-slots etched in a circular patch. By changing the coax feed into a microstrip-line feed, a dual-band CP operation was obtained by smoothing and optimizing the connection between the microstrip line and the patch. The microstrip-line-fed design was then modified to get a third operation band with a CP characteristic, by incorporating a U-shaped slot in its partial ground plane.



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*Source: 783602-2014-04-29.xml*