Research on a Novel Kind of Dual Polarized Stacked Printed ...
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Research ArticleResearch on a Novel Kind of Dual Polarized StackedPrinted Antenna
Gao Zhiwei , Fang qingyuan, and Jiang shugang
School of Information Science and Technology, Shijiazhuang Tiedao University, Shijiazhuang 050043, China
Correspondence should be addressed to Gao Zhiwei; [email protected]
Received 30 March 2018; Accepted 2 August 2018; Published 4 November 2018
Academic Editor: Jaume Anguera
Copyright © 2018 Gao Zhiwei et al. This is an open access article distributed under the Creative Commons Attribution License,which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
This paper presents a dual polarized antenna with high isolation for a wide-angle scanning phased array radar. For the proposedantenna, the electronic and magnetic resources are realized through a printed monopole antenna and a slot ring antenna,respectively. A metal reflector ground was introduced to achieve the unidirectional pattern, and the ratio of front to back of thepattern was improved. The printed monopole and slot ring antenna are fed by the coaxial and electromagnetic couplings,respectively. The radiation fields emitted by the electronic current resource and magnetic current resource are approximatelyorthogonal to each other among large space ranges. The measured port isolation of the designed antenna is above 20 dB, and thewide beam performance can be observed. The feasibility of the proposed antenna scheme is verified.
1. Introduction
A dual polarized antenna is the key component in full polar-ization radar, navigation, and wireless communication sys-tem, and its function is to realize the full polarization signalprocessing algorithm through radiation or receiving twoorthogonal polarization components of electromagneticwave. The design and implementation of dual polarizedantenna have become a hotspot in the field of antenna tech-nology [1–3]. In terms of structure, dual polarized antennasinclude dual polarized dipole antennas, dual polarized micro-strip antennas, and dual polarized mouth antennas [4–6].From the radiation mechanism, the dual polarizationantenna can be divided into the electric current source andmagnetic current source with orthogonal placement. In theapplication of the dual polarized antenna, the main formsare the phased array and MIMO array. Compared with a tra-ditional literal antenna, a dual polarized antenna also needsto consider the port isolation of polarization and cross-polarization level of a radiation field, the purpose of whichis to achieve two better orthogonal polarization channels[7]. In the application of full polarization phased arrayantenna, the dual polarized antennas need to have the radia-tion and polarization patterns with sufficient width to
achieve the expected beam scanning range. As for engineer-ing applications, the installation of the antenna array spaceis usually limited; therefore, the structure of dual polarizedantenna units needs to adapt to the antenna array struc-ture, and the antenna unit is miniaturization. Generally,feeding is introduced from the bottom of the antenna plat-form, connector size is small enough, and the installationis firm and reliable. Therefore, the design and implemen-tation of dual polarization array antenna are importantand challenging tasks.
Considering the design difficulty, electrical performance,and tooling cost of dual polarized antenna unit, an optionalimplementation scheme is a dual polarized printed antenna.A dual polarized microstrip antenna is the most commontype of dual polarized printed antenna [8, 9] and is widelyused. The dual polarization microstrip antenna using printedcircuit technology processing has the advantages of low pro-file, small size, lightweight, and low cost. In regard to the elec-tric properties, a double polarization structure has moreimplementation type and flexible feeding, such as microstripline edge feed, feed microstrip line angle feed, and electro-magnetic coupling feeding [10, 11]. However, the workingbandwidth of the microstrip antenna is narrow, and thepolarization port isolation and radiation field of the dual
HindawiInternational Journal of Antennas and PropagationVolume 2018, Article ID 8690308, 10 pageshttps://doi.org/10.1155/2018/8690308
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polarized antenna are higher. Although the improvementmeasures can extend the impedance bandwidth and thepolarization performance of the microstrip antenna, thestructure of the dual polarized antenna is complex and theimplementation of the project is more difficult. Both theprinted dipole and the printed slot antenna are the commonforms of microwave radiators, which also have the advan-tages of a microstrip antenna in structure and processing,and their impedance bandwidth is wider. A printed dipoleantenna is fabricated based on a medium substrate, and it isgenerally fed by coaxial line or coplanar waveguide (CPW).In order to realize the ultrawideband performance, the dipoleshape can be designed to be rectangular, butterfly, round,oval, and many other shapes [12–15]. A slot antenna usuallycan be the equivalent magnetic current source and is a kindof microwave radiator coupling with a dipole antenna. Aprinting slot antenna structure is simple, and the apertureshape can be rectangular. A dual polarized antenna basedon the current element and the slot magnetic current elementwas designed and realized. According to the demand, itcan be designed into narrowband, broadband, and ultra-broadband types. In the field of feeding, the printed slotantenna can use various forms [16–19], electromagneticcoupling feed, coplanar waveguide feed, etc. Therefore,the printed slot antenna is also a microwave antenna.
Based on the engineering demand, a cascading printingdual polarized antenna structure is proposed in this paper.A printing dipole and circular aperture radiator are intro-duced, which radiate and receive two orthogonal polarizationelectromagnetic wave components that are separately placedto realize a double polarization mode. In a cascade structure,the two polarization port feedings are introduced from thebottom of the antenna unit without affecting each other,and using this method can improve the antenna polarizationisolation and is more suitable for the installation structure ofthe phased array antenna. Printing electric dipole can beequivalent to a current source, and printing circle apertureto the magnetic current source; therefore, the proposed dualpolarized antenna radiation principle is based on the radia-tion of orthogonal electromagnetic source, which is differentfrom the traditional dual polarized antenna and has strongerinnovation. In the second section, the design and simulation
of cascading printing dual polarized antenna are described.In the third section, antenna processing and test results areprovided to verify the feasibility and effectiveness of thedesign. And the last part is the conclusion of the paper.
2. The Structure and Design of Dual PolarizedStacked Printed Antenna
As an antenna complementary to a metal ring, a slot ring canbe equivalent to an array of two half-wave slots. Ideally, thehalf-wavelength slot should be complementary to the half-wave dipole. A slot ring dipole antenna is designed based onthe most common and the most basic microstrip quarter-wave dipole. The microstrip vibrator is characterized by thinsection, lightweight, easy processing, and low cost. The cross-polarization simulation results of the dual polarizationantenna are shown in Figure 1. It can be seen from the figurethat the cross-polarization of both ports in the main radiationdirection is less than −20dB, where the cross-polarizationof the electric dipole in the main radiation direction is lessthan −35dB and less than −30 dB in almost all angles. Theone in the aperture circle in the main radiation direction isless than −23 dB, and the angle which is less than −20dBhas a range of about from −40 degrees to 40 degrees, whichmeets the design requirements of the dual polarizationantenna for cross-polarization. The design of the dual polar-ized antenna structure is shown in Figure 1; the dual polarizedantenna is composed of the electric vibrator and slot ring: theupper layer is for the electric vibrator, which is fed directly bythe coaxial line at one end of the vibrator; the lower layer isthe slot ring, in which the one end of the coaxial line isconnected to the open road microstrip line to conduct thecoupled feeding. Because both the electric vibrator and the slitring have the characteristics of bidirectional radiation, themetal plate part of the slit ring can also be used as the reflectorof the vibrator at the same time, and a piece of metal reflectorcan be arranged at a distance of about λ/4 below the slit ring.
When designing the dual polarized antenna, firstly, theRogers 5880 sheet with the dielectric constant εr = 2 2 fromRogers Co. Ltd. should be selected as the dielectric substrate.The size of the dielectric sheet is 32mm× 32mm× 1mm, andthe basic structure and feeding form of the antenna were
Slot ring
�e slot ring feeeding line with the lengthof l2 and width of w2
Electronicdipole withthe lengthof l1 andwidth of w1
𝛼
Rr
(a) Top view
�e substrate of slot ring withthe thickness of h2
�e reflecting plate�e coaxial cable
�e substrate of electronicdipole with the thickness of h1
h
h3
(b) Side view
Figure 1: Antenna schematic.
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determined. As for the radius R of the ring, we can estimatethe size of the ring by the empirical formula based on the pre-vious theoretical analysis. For the width r of the slot and thewidth w2 of the feeding line, we consider optimizing theinfluence of the mutual coupling between the feeding lineand the electric vibrator on the gain and cross-polarizationof the pattern. Table 1 shows the change of the parametervalues when the gap width is changed within the slit ringvibration of 5GHz. It can be seen that the smaller the slitwidth is, the smaller the inner diameter R of the slit ring is,and in the meantime, cross-polarization of the slit ring andthe isolation between the two ports will be better.
The open microstrip line of the slot ring exerts a certainimpact on the return loss, as shown in Figure 2, and thechanging curve of the slot ring port return loss with the openmicrostrip line is shown. As can be seen from the figure, thethinner the open microstrip line, the smaller the return lossof the slit ring is, but in order to meet the processing preci-sion and the convenience of welding, the feeder line cannotbe too thin. For the electric vibrator part, the width andlength are the most influential. Since we use a quarter-wavevibrator, the vibrator length is about λg/4. We can fine-tunethe height between the two dielectric plates and the groundon the basis of the initial determination of λ/4. Accordingto the designed dual polarized antenna structure, theimplementation scheme of dual polarized antenna can obtainand realize broader bandwidth and higher efficiency.Moreover, the kind of dual polarized antenna has a simple
structure, so the design procedure is simplified. Due to thelow cost of fabrication, the proposed dual polarized antennais suitable for practical engineering application.
3. Analysis of Simulation Results of DualPolarized Antenna
The full-wave electromagnetic simulation is adopted to opti-mize the antenna performance and structure, and a set ofparameter meeting the design requirements is obtained: a =32 mm, R = 9 1 mm, r = 0 5 mm, l1 = 7 3 mm, w1 = 1 5mm, l2 = 14 mm, w2 = 0 4 mm, h = 11 3 mm, h1 = h2 = 1mm, and h3 = 5 3mm. The simulation results of the antennaare obtained, and the S parameter curve of the antenna isshown in Figure 3.
When the return loss of antenna is less than 10 dB, theworking frequency of stacked dipole port is from 4.75GHzto 5.25GHz, aperture circle port 4.9GHz to 5.1GHz, andwhole antenna bandwidth 4.9GHz to 5.1GHz, and the isola-tion of two ports within the bandwidth is under −23dB. Thesimulated input impedance characteristics of two ports areshown in Figure 4. The designed antenna is resonant at5GHz according to Figure 4.
The current flows through the feed line to the monopole,and the electronic current density distribution is large on theprinted monopole. The current, through another feed line, iscoupled to the slot ring. On the slot ring, the magneticcurrent density distribution is large. The radiation fieldsemitted by the electronic current resource and magneticcurrent resource are approximately orthogonal to each otheramong large space ranges.
The simulated three-dimensional gain patterns of twopolarization ports for the designed dual polarized are shownin Figure 5. According to Figure 5, we can see that the goodpatterns for both ports are achieved with the frequency rangefrom 4.9GHz to 5.1GHz. The wide beams and high efficien-cies are observed at all ports. Because the two ports are notsymmetric, the gains of the two ports are different at eachfrequency. The simulated gain of printed dipole port is
Table 1: Rule of the parameters of the aperture circle varies with thewidth of the aperture.
Aperture width(mm)
Inner diameter(mm)
Isolation(dB)
Cross-polarization (dB)
0.5 9 −23 21
0.8 11.2 −19 −16.51 12 −18 −16
0
0
w2 = 0.4w2 = 0.6w2 = 1
S11
(dB)
4.5Frequency (GHz)
5 5.5 6
−2
−4
−6
−8
−10
−12
−14
Figure 2: Curve of return loss of aperture circle varies with openloop feed wire width.
0
4
s11s12s22
4.5Frequency (GHz)
S pa
ram
eter
s (dB
)
5 5.5 6
−10
−20
−30
−40
Figure 3: S parameter curve of the antenna.
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higher than that of the port of slot ring port. So in thepractical application, the compensation algorithm shouldbe employed to obtain the ideal the dual polarized channels,and the problem can be solved by the digital signal processingtechnique, which can be realized based on the advancedsignal processing hardware.
The pattern of two ports with the center frequency of5GHz is shown in Figure 6, from which it can be seen thatthe dual polarized antenna pattern is regular, the farfieldmax-imumgainof electric dipole is 5.6 dB, and the lobewidth is big-ger; thus, 3 dB lobewidth is 87.9° atφ = 0° and100.4° atφ = 90°.The maximum gain of the aperture circle port is 9.0 dB, andthe 3 dB lobe width is 56.8° at φ = 0° and 68.3° at φ = 90°.
The cross-polarization pattern of two ports at φ = 0° andφ = 90° is shown in Figure 7. It can be seen from the figurethat the cross-polarization of both ports in themain radiationdirection is less than −20dB, where the cross-polarization ofthe electric dipole in the main radiation direction is lessthan −35 dB and less than −30dB in almost all angles.The one of the aperture circle in the main radiation directionis less than −23 dB, and the angle which is less than −20 dBhas a range of about ±40°, which meets the design require-ments of the dual polarization antenna for cross-polarization.
The polarization orthogonal performances at the farfield space of the designed dual polarized antenna were
calculated and observed according to simulation resultsthrough the full-wave electromagnetic simulation tech-nique. The polarization orthogonal ranges of the designeddual polarized antenna for φ = 0° and φ = 90° are shown inFigure 8. From Figure 8, it can be seen that the two polariza-tion electrical fields of two ports are basically orthogonalwithin the angle range of ±74° for φ = 0° when 80° is regardedas the orthogonal criterion, while the two polarization electri-cal fields of two ports are basically orthogonal within theangle range of ±36° for φ = 90°.
4. Processing and Testing of Cascade PrintingDual Polarized Antenna
According to the structure and size of the designed cas-cade printing dual polarized antenna, the prototype isassembled and the physical image of the antenna sampleis shown in Figure 9.
Figure 9 shows the designed antenna employing cablefeed. A copper reflector ground was used as ground. Theprinted monopole and slot ring antenna are fed by the coaxialand electromagnetic couplings, respectively. Electronicdipole is printed on the substrate of electronic dipole.Figure 9 clearly presents the processed antenna structure.
Imaginary part of V/A matrix coefficients in Z450 Z1,1400350300250200150100
500
−504.6 4.7 4.8 4.9 5 5.1 5.2 5.3 5.4 5.54.5
Frequency (GHz)
(a) The simulated resistor of port 1
Imaginary part of V/A matrix coefficients in Z200 Z1,1150
100
50
0
−50
−100
−150
−200
−2504.6 4.7 4.8 4.9 5 5.1 5.2 5.3 5.4 5.54.5
Frequency (GHz)
(b) The simulated resistor of port 2
100908070605040302010
Imaginary part of V/A matrix coefficients in ZZ2.2
04.6 4.7 4.8 4.9 5 5.1 5.2 5.3 5.4 5.54.5
Frequency (GHz)
(c) The simulated resistor of port 1
120100
50
0
−50
−100
Imaginary part of V/A matrix coefficients in ZZ2.2
−1204.6 4.7 4.8 4.9 5 5.1 5.2 5.3 5.4 5.54.5
Frequency (GHz)
(d) The simulated resistor of port 2
Figure 4: The simulated input impedance characteristics of two ports.
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dBz
�etay
6.165.044.293.54
2.82.051.310.56
0−5.13−9.23−13.3−17.4−21.5
−29.7−33.8
−25.6
(a) Pattern of port 1 at 4.9 GHz
dB
�eta
z
x
9.167.496.385.274.163.051.94
0.8330
−4.67−8.41−12.1−15.9−19.6
−27.1−30.8
−23.4
(b) Pattern of port 2 at 4.9 GHz
dB
yz
�eta
5.74.663.973.282.59
1.91.21
0.5180
−5.2−9.36−13.5−17.7−21.8
−30.1−34.3
−26
(c) Pattern of port 1 at 5 GHz
dB
�etay
z
x
97.376.275.184.09
31.91
0.8180
−4.7−8.45−12.2
−16−19.7
−27.2−31
−23.5
(d) Pattern of port 2 at 5 GHz
dB
�etay
z 5.184.233.612.982.351.73
1.10.471
0−5.28
−9.5−13.7−17.9−22.2
−30.6−34.8
−26.4
(e) Pattern of port 1 at 5.1 GHz
dB
�etay
z
x
8.987.316.225.144.662.981.89
0.8120
−4.71−8.47−12.2
−16−19.8
−27.3−31.1
−23.5
(f) Pattern of port 2 at 5.1 GHz
Figure 5: The simulated three dimension gain patterns of the designed antenna.
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The two polarization ports’ voltage standing wave ratioand isolation test results are shown in Figures 10(a)–10(c),respectively. Between the bandwidth, the average voltagestanding wave ratio of the two polarization port is about 2,the one of port 2 slightly tall, the simulation performance isless than 2, the one of port 2 slightly tall, and the testperformance is slightly worse than the simulation one. Theisolation between the two polarization ports is about24.7 dB at 5GHz, and the bandwidth of greater than 20 dBis greater than 500MHz. The simulation performance iswithin the bandwidth under −23 dB, and the test perfor-mance is slightly worse than the simulation one. Accordingto the analysis, the difference between the measured resultand the simulation one is mainly caused by the machiningprecision and the error of assembly.
The pattern of the dual polarized antenna is measuredin a microwave dark room, and the radiation pattern testresults of port 1 (printing dipole port) and port 2 (circle
aperture port) are shown in Figures 11 and 12, respectively,in which the E and H plane pattern of the center frequencypoint of each port is provided. It can be seen that the dualpolarized antenna formed the radiation pattern effectively,and the beam widths of the E plane and H plane of port 1are similar, about 95°. The one of port 2 is about 80°. Inthe direction of the main radiation, the cross-polarizationlevel of port 1 is −15 dB, higher than the simulationresults. The cross-polarization level of port 2 is about−20 dB, which is better than that of port 1. The test resultsshow that the two polarization ports of the dual polarizedcascade printing antenna have a wide beam, and the polar-ization direction pattern is wider and suitable for practicalapplication. At the same time, the design scheme of dualpolarized antenna based on electromagnetic radiationsource is correct. The test results are slightly worse than thesimulation one, which are caused by the antenna processingand test errors.
−80
−70
−60
−50
−40
−30
−20
−10
0
10G
ain
(dB)
Co-polCross-pol⁎
−150 −100 −50 0 50 100 150 200−200Angle (°)
(a) Electric dipole pattern at φ = 0°
−35
−30
−25
−20
−15
−10
−5
0
5
10
Gai
n (d
B)
Co-polCross-pol⁎
−150 −100 −50 0 50 100 150 200−200Angle (°)
(b) Aperture circle pattern at φ = 0°
Co-polCross-pol⁎
−40
−35
−30
−25
−20
−15
−10
−5
0
5
10
Gai
n (d
B)
−150 −100 −50 0 50 100 150 200−200Angle (°)
⁎
−150 −100 −50 0 50 100 150 200−200Angle (°)
(c) Electric dipole pattern at φ = 90°
Co-polCross-pol⁎
−40
−35
−30
−25
−20
−15
−10
−5
0
5
10G
ain
(dB)
−150 −100 −50 0 50 100 150 200−200Angle (°)
(d) Aperture circle pattern at φ = 90°
Figure 6: Simulation pattern of dual polarized antenna.
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5. Conclusions
Based on the radiation principle of dual polarization antennaunits, a design scheme of dual polarization antenna with elec-tric current source and magnetic current source combined isproposed in this paper, which provides a new technical wayfor a dual polarization antenna design. According to theequivalent principle of electromagnetic field, a kind of cas-cade dual polarization printing antenna unit is designed, inwhich printing dipole and aperture circle are used as the elec-tric current source and magnetic current source radiator sep-arately. The two polarization ports of the antenna unit areintroduced from the bottom of the antenna structure andare suitable for the application of phased array. Using full-wave electromagnetic simulation software to simulate thedual polarization antenna design and optimization with thebandwidth between 4.9GHz and 5.1GHz, the antenna port
Phi = 0Phi = 90
−100 0 100 200−200Angle (°)
−80
−60
−40
−20
0
20Cr
oss p
olar
izat
ion
leve
l (dB
)
(a) Cross-polarization of electric dipole
Phi = 0Phi = 90
−100 0 100 200−200Angle (°)
−30
−25
−20
−15
−10
−5
0
5
Cros
s pol
ariz
atio
n le
vel (
dB)
(b) Cross-polarization of aperture circle
Figure 7: Cross-polarization simulation results of dual polarization antenna.
65
70
75
80
85
90
Ort
hogo
nal d
egre
e (D
egre
e)
−100 0 100 200−200Angle (°)
(a) φ = 0°
10
20
30
40
50
60
70
80
90
Ort
hogo
nal d
egre
e (D
egre
e)
−100 0 100 200−200Angle (°)
(b) φ = 90°
Figure 8: The simulated orthogonal range at the far field space of the designed dual polarized antenna.
Figure 9: The physical photo of dual polarized antenna.
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1
1.5
2
2.5
3
3.5
4
4.5
5
VSW
R
4.4 4.6 4.8 5 5.2 5.4 5.6 5.8 64.2
Frequency (GHz)
(a) VSWR test result of port 1
1
1.5
2
2.5
3
3.5
4
4.5
5
VSW
R
4.4 4.6 4.8 5 5.2 5.4 5.6 5.8 64.2
Frequency (GHz)
(b) VSWR test result of port 2
4.5 5.5 65
Frequency (GHz)
−35
−30
−25
−20
−15
−10
−5
0
Isol
atio
n de
gree
(dB)
(c) Isolation test result of ports
Figure 10: Photo of dual polarized antenna and test results of electronic principle.
50
−5−10−15−20−25−30−35−40−45−50
−150 −100 −50 0Angle (°)
Nor
mal
ized
ampl
itude
(dB)
50 100 150
Co-polCross-pol⁎
(a) E plane
50
−5−10−15−20−25−30−35−40−45−50
Nor
mal
ized
ampl
itude
(dB)
−150 −100 −50 0Angle (°)
50 100 150
Co-polCross-pol⁎
(b) H plane
Figure 11: Test patterns of printing dipole ports.
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isolation, cross-polarization level, beam width, and othertechnical indicators meet the requirements of dual polariza-tion antenna; especially, the dual polarization antenna has avery wide polarization pattern; namely, in the wide range ofspace angle, the two polarization channel has good orthogo-nality, which can be used in dual polarization radar and com-munication systems. The polarization pattern of this antennais wider than the compact dual polarized slot antenna with anenhanced gain in the literature [1–5]. The designed dualpolarization cascade printing antenna is processed andtested, and the experimental results verify the effectivenessof the proposed dual polarization antenna.
Data Availability
The data of this study are available from the correspondingauthor upon request.
Conflicts of Interest
The authors declare that they have no conflicts of interest.
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[13] W. Wu and Y. P. Zhang, “Analysis of ultra-wideband printedplanar quasi-monopole antennas using the theory of charac-teristic modes,” IEEE Antennas and Propagation Magazine,vol. 52, no. 6, pp. 67–77, 2010.
5
0
−5
−10
−15
−20
−25
−30
−35
−40
−45
−50−150 −100 −50 0 50 100 150
Nor
mal
ized
ampl
itude
(dB)
Angle (°)
Co-polCross-pol⁎
(a) E plane
5
0
−5
−10
−15
−20
−25
−30
−35
−40
−45
−50−150 −100 −50 0 50 100 150
Nor
mal
ized
ampl
itude
(dB)
Angle (°)
Co-polCross-pol⁎
(b) H plane
Figure 12: Test patterns of circle aperture ports.
9International Journal of Antennas and Propagation
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[14] C.-I. Lin and K. L. Wong, “Printed monopole slot antenna forinternal multiband mobile phone antenna,” IEEE Transactionson Antennas and Propagation, vol. 55, no. 12, pp. 3690–3697,2007.
[15] J. Oh and K. Sarabandi, “Low profile, miniaturized, inductivelycoupled capacitively loaded monopole antenna,” IEEE Trans-actions on Antennas and Propagation, vol. 60, no. 3,pp. 1206–1213, 2012.
[16] S. Ahdi Rezaeieh, M. A. Antoniades, and A. M. Abbosh, “Gainenhancement of wideband metamaterial-loaded loop antennawith tightly coupled arc-shaped directors,” IEEE Transactionson Antennas and Propagation, vol. 65, no. 4, pp. 2090–2095,2017.
[17] X. Qing and Z. N. Chen, “Characteristics of a metal-backedloop antenna and its application to a high-frequency RFIDsmart shelf,” IEEE Antennas and Propagation Magazine,vol. 51, no. 2, pp. 26–38, 2009.
[18] Y.-W. Chi and K.-L. Wong, “Internal compact dual-bandprinted loop antenna for mobile phone application,” IEEETransactions on Antennas and Propagation, vol. 55, no. 5,pp. 1457–1462, 2007.
[19] Y.-T. Im, J.-H. Kim, andW.-S. Park, “Matching techniques forminiaturized UHF RFID loop antennas,” IEEE Antennas andWireless Propagation Letters, vol. 8, pp. 266–270, 2009.
10 International Journal of Antennas and Propagation
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