design of a small-size broadband circularly polarized ...2018/04/12  · a small-size 2×2broadband...

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Research Article Design of a Small-Size Broadband Circularly Polarized Microstrip Antenna Array Pingyuan Zhou , 1 Zhuo Zhang, 2 Mang He , 1 Yihang Hao, 1 and Chuanfang Zhang 1 1 School of Information and Electronics, Beijing Institute of Technology, Beijing 100081, China 2 Institute of Electronics, Chinese Academy of Sciences, Beijing 100190, China Correspondence should be addressed to Mang He; [email protected] Received 12 April 2018; Revised 16 May 2018; Accepted 27 May 2018; Published 5 July 2018 Academic Editor: N. Nasimuddin Copyright © 2018 Pingyuan Zhou 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. A small-size 2×2 broadband circularly polarized microstrip antenna array is proposed in this article. The array has four broadband dual-feed U-slot patch antenna elements with circular polarization, and the sequential feeding technique is used to further enhance the 3 dB axial ratio bandwidth. The lateral size of the fabricated array is as small as 1 33λ 0 ×1 33λ 0 , and the prole is only 0 04λ 0 . Measured results show that the overlapped -10 dB reection coecient and the 3 dB AR bandwidth is 53%, and the variation of the measured realized gain is less than 1 dB for S-band satellite communications (1.982.2 GHz). 1. Introduction Circularly polarized (CP) microstrip antennas and arrays are widely used in wireless communications due to their insen- sitivity to polarization mismatch and multipath eects. Although CP microstrip arrays (MSAs) have many merits, such as low prole, lightweight, and easy conformability, they inherently have narrow bandwidth in terms of imped- ance and axial ratio (AR). Wideband and compact designs of CP MSAs are increasingly demanded in modern commu- nication systems. The sequential feeding technique (SFT) has been proven to be an eective way to improve the impedance and AR bandwidth of CP MSAs [1, 2]. Several designs of 2×2 CP MSAs based on the SFT are presented [310]. In [35], single-layer single-feed CP microstrip antenna elements are used and the sequential feeding networks are embedded in the middle of the arrays to reduce the overall sizes. These MSAs achieve more than 18% -10 dB reection coecient ( S 11 ) bandwidth, and the 3 dB AR bandwidth is over 12.7%. At the expense of complex feeding network and an extra metallic reector, an MSA consisting of dual-feed slot- coupled CP elements obtains 50% -10 dB S 11 and 30% 3 dB AR bandwidths in [6]. In [7, 8], linearly or circularly polarized patch elements are fed by sequentially rotated L-probe feeding networks, and the 3 dB AR bandwidth exceeds 40%. However, the lateral sizes of these arrays exceed 1 8λ 0 ×1 8λ 0 , and the minimum height is also larger than 0 15λ 0 . In [9], a stacked microstrip antenna array with size of 1 46λ 0 ×1 33λ 0 ×0 11λ 0 is presented and 51% -10 dB S 11 and 27% 3 dB AR bandwidths are achieved . In [10], each array element is composed of four corner-truncated square patch and U-shaped slots are embedded in the ground plane; 54.2% -10 dB S 11 and 39.3% 3 dB AR bandwidths are achieved with a relatively large height of 0 4λ 0 . In this article, a 2×2 broadband CP MSA with a small size is designed. The structure of a wideband CP dual-feed U-slot patch antenna recently reported in [11] is modied to lower the prole and is used to construct the MSA, and a feeding network using the SFT is adopted to further enhance the polarization purity and AR band- width. The design principles and the related numerical results are validated by the measured ones on the fabri- cated prototype, and wide overlapped impedance and AR bandwidth, small lateral size, and low prole of the 2×2 array are achieved. Hindawi International Journal of Antennas and Propagation Volume 2018, Article ID 5691561, 10 pages https://doi.org/10.1155/2018/5691561

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Page 1: Design of a Small-Size Broadband Circularly Polarized ...2018/04/12  · A small-size 2×2broadband circularly polarized microstrip antenna array is proposed in this article. The array

Research ArticleDesign of a Small-Size Broadband Circularly Polarized MicrostripAntenna Array

Pingyuan Zhou ,1 Zhuo Zhang,2 Mang He ,1 Yihang Hao,1 and Chuanfang Zhang1

1School of Information and Electronics, Beijing Institute of Technology, Beijing 100081, China2Institute of Electronics, Chinese Academy of Sciences, Beijing 100190, China

Correspondence should be addressed to Mang He; [email protected]

Received 12 April 2018; Revised 16 May 2018; Accepted 27 May 2018; Published 5 July 2018

Academic Editor: N. Nasimuddin

Copyright © 2018 Pingyuan Zhou et al. This is an open access article distributed under the Creative Commons AttributionLicense, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work isproperly cited.

A small-size 2 × 2 broadband circularly polarized microstrip antenna array is proposed in this article. The array has fourbroadband dual-feed U-slot patch antenna elements with circular polarization, and the sequential feeding technique is usedto further enhance the 3 dB axial ratio bandwidth. The lateral size of the fabricated array is as small as 1 33λ0 × 1 33λ0,and the profile is only 0 04λ0. Measured results show that the overlapped −10 dB reflection coefficient and the 3 dB ARbandwidth is 53%, and the variation of the measured realized gain is less than 1 dB for S-band satellite communications(1.98–2.2GHz).

1. Introduction

Circularly polarized (CP) microstrip antennas and arrays arewidely used in wireless communications due to their insen-sitivity to polarization mismatch and multipath effects.Although CP microstrip arrays (MSAs) have many merits,such as low profile, lightweight, and easy conformability,they inherently have narrow bandwidth in terms of imped-ance and axial ratio (AR). Wideband and compact designsof CP MSAs are increasingly demanded in modern commu-nication systems.

The sequential feeding technique (SFT) has been provento be an effective way to improve the impedance and ARbandwidth of CP MSAs [1, 2]. Several designs of 2 × 2 CPMSAs based on the SFT are presented [3–10]. In [3–5],single-layer single-feed CP microstrip antenna elements areused and the sequential feeding networks are embedded inthe middle of the arrays to reduce the overall sizes. TheseMSAs achieve more than 18% −10 dB reflection coefficient( S11 ) bandwidth, and the 3 dB AR bandwidth is over 12.7%.At the expense of complex feeding network and an extrametallic reflector, an MSA consisting of dual-feed slot-coupled CP elements obtains 50% −10 dB S11 and 30%

3dB AR bandwidths in [6]. In [7, 8], linearly or circularlypolarized patch elements are fed by sequentially rotatedL-probe feeding networks, and the 3 dB AR bandwidthexceeds 40%. However, the lateral sizes of these arrays exceed1 8λ0 × 1 8λ0, and the minimum height is also larger than0 15λ0. In [9], a stacked microstrip antenna array with sizeof 1 46λ0 × 1 33λ0 × 0 11λ0 is presented and 51% −10dBS11 and 27% 3dB AR bandwidths are achieved. In [10],each array element is composed of four corner-truncatedsquare patch and U-shaped slots are embedded in the groundplane; 54.2% −10 dB S11 and 39.3% 3dB AR bandwidths areachieved with a relatively large height of 0 4λ0.

In this article, a 2 × 2 broadband CP MSA with asmall size is designed. The structure of a wideband CPdual-feed U-slot patch antenna recently reported in [11]is modified to lower the profile and is used to constructthe MSA, and a feeding network using the SFT is adoptedto further enhance the polarization purity and AR band-width. The design principles and the related numericalresults are validated by the measured ones on the fabri-cated prototype, and wide overlapped impedance and ARbandwidth, small lateral size, and low profile of the 2 × 2array are achieved.

HindawiInternational Journal of Antennas and PropagationVolume 2018, Article ID 5691561, 10 pageshttps://doi.org/10.1155/2018/5691561

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2. Design of the Antenna Element andIts Performance

The geometry of the antenna element and the layout of theMSA are illustrated in Figure 1. The antenna element struc-ture is adapted from the design proposed in [11]. In [11],the antenna was printed on a thick high-permittivity sub-strate to meet the requirements of maximal size reductionin lateral direction, while the bandwidth and the profile arenot the most concerned properties. In the present design, toenlarge S11 and AR bandwidths and to reduce the antenna’sprofile, we use two dielectric substrates with the same thick-ness of h and with the relatively low permittivity of εr = 3 5and loss tangent of tan δ = 0 0018. As shown in the two fig-ures, the dual-feed U-slot patch antenna elements are printedon the top substrate and the feeding network resides on thebottom one. The two substrates are separated by an air gapof height h0. The width of the square patch is Wp, and thehorizontal and vertical arm lengths of the etched U-shapedslot are Ls and Ss, respectively. The width of the slot is Ws,and the distance from the patch center to the vertical arm ist. The antenna element is fed by two metallic pins that areconnected to the two output ports of a microstrip Wilkinsonpower divider with the power ratio of 1 : 1, and the distancesof the two pins measured from the patch center are d1 and d2,respectively. It should be noted that the phase differencebetween the two feeding ports is not 90° as for the commonlyused dual-feed CP antennas, and its value is tuned to about60° due to the presence of the embedded U-slot.

The performances of the element patch antenna areshown in Figure 2. As can be seen in Figure 2(a), excellentimpedance matching at two feeding ports (with the referenceimpedance 50Ω) is observed at two series resonant frequen-cies 2GHz and 2.1GHz, and the joint impedance band-width is 10% (1.95~2.15GHz). Meanwhile, the isolationbetween two ports is more than 20dB over a wide band-width, which indicates a weak mutual coupling betweenthe two feedings. Figure 2(b) shows the realized gain and

AR when the two feeding ports (feed_1 and feed_2) ofthe element patch antenna are excited simultaneouslyand respectively. The peak realized LHCP gain with simul-taneous excitation is 8.2 dBic, which is almost equal to therealized linearly polarized (LP) gain with respective excita-tion. The 3 dB AR bandwidth with simultaneous excitationis 22% (1.86~2.32GHz).

3. Design of the Array and Parameter Studies

In Figures 3(a) and 3(b), the 2 × 2 array is constructed by 4antenna elements (indexed by A1 to A4), and the SFT isimplemented by using a three-stage feeding network com-posed of 7 Wilkinson power dividers to improve the S11and AR bandwidths. For the left-handed circular polarization(LHCP) design, the 4 antenna elements rotate clockwise fromA1 to A4, and the feeding phase at the input port of the third-stage power divider before each element is 90° lagged as com-pared to that for the former element. The center distancebetween antenna elements is 0 65λ0, and the overall size ofthe array is about 1 33λ0 × 1 33λ0 × 0 04λ0 at the center fre-quency of 2.1GHz.

In order to optimize the performance of the proposed ele-ment and MSA, parametric studies are carried out. The Wil-kinson power divider is designed for the element to achievethe circular polarization. In what follows, the effects of sev-eral key dimensions on the element and array are investi-gated, and the final optimum geometrical sizes of theantenna element and the array are listed in the captions ofFigures 1 and 3.

4. Effects of the Length of the Patch Element

PAUSE Figure 4 shows the variations of the realized gain,AR, and S11 of the element and array versus the frequencieswhenWp is changed. WhenWp is increased, the frequenciesat which both the peak gain and the minimal AR appearare shifted downward, as seen in Figure 4(a). The lowest

W

Ws

Ls

Ss

Wp

d2

d1t o

feed_1

feed_2

(a)

U-slot patches

Pins

h

h0

h feed_1 feed_2

(b)

Figure 1: Structures of the antenna element. (a) Geometry of the antenna element. (b) Side view of the antenna element. Dimensions of theantenna element (unit: mm): W = 95, Wp = 50 5, Ls = 21, Ss = 20, Ws = 1, d1 = 1 8, d2 = 10 2, t = 6 75, h = 1 016, and h0 = 4mm.

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resonant frequency is also lowered with increasing Wp,but the −10 dB impedance bandwidth remains almostunchanged. Although the AR of the array is insensitive tothe variation of Wp and the S11 is always less than −10 dBfrom 1.6 to 2.5GHz, the frequency at which the maximal

realized gain appears is lowered (see Figure 4(c)). Moreover,as seen in Figure 4(d), the lowest and highest resonant fre-quencies in the S11 curve are reduced with the increasingWp, while other resonances remain almost unchanged. Theseresults indicate that the intermediate resonant frequencies

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Only feed_2 excitedAR (simultaneously excited)

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Figure 2: Performances of the patch element. (a) S-parameters. (b) Realized gain and AR.

G

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y z

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A3

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U-slot patches

Screws

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h0 Pins Pins Hollow pillars

(b)

Figure 3: Structures of the corresponding 2 × 2 array. (a) Top view of the array. (b) Side view of the array. Dimensions of the array (unit: mm):G = 190.

3International Journal of Antennas and Propagation

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determined by the embedded U-slot are quite independentof Wp.

5. Effects of the Length of the U-Slot’sHorizontal Arm

Figure 5 illustrates the effects of the horizontal arm length Lsof the U-slot on the performance of the element and array.For both the element and array, when Ls deviates from theoptimum value of 20mm, the peak realized gain will decrease

to 1.5 dB or so, as illustrated in Figures 5(a) and 5(c). WhenLs is reduced, the AR of the element deteriorates andimproves at the low and high ends of the frequency range,respectively. The AR of the array deteriorates at both thelow and high ends of the frequency range. In addition, it isseen that all the resonant frequencies of the element andarray change with the varying Ls, as indicated inFigures 5(b) and 5(d). These observations indicate that dueto the variation of the slot’s length, the phase differencebetween the two output ports of each power divider cannotprovide the optimum value for circular polarization of the

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Wp = 48.5 mm; gain_LHCP & ARWp = 50.5 mm; gain_LHCP & ARWp = 52.5 mm; gain_LHCP & AR

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Figure 4: Effects of the length of the patch element. (a) Realized gain and axial ratio of the element. (b) Reflection coefficient of the element.(c) Realized gain and axial ratio of the array. (d) Reflection coefficient of the array.

4 International Journal of Antennas and Propagation

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antenna element any more, which leads to the gain reductionof the array. So, the dimensions of the third-stage powerdividers should be tuned alongside with the change of Ls toprovide appropriate phase difference for the CP antennaelements.

6. Effects of the Length of the U-Slot’sVertical Arm

Figure 6 shows the performance variations of the element andarray versus the frequencieswhen Ss is changed.As canbe seenin Figure 6(a), when Ss is increased, the peak realized gain of

the element is slightly lowered and theARat the low frequencyrange is reduced. Although the high-resonant frequency islowered with increasing Ss, the −10dB impedance remainsalmost unchanged, as shown in Figure 6(b). Figure 6(c) showsthat the AR is insensitive to the variations of Ss from 1.6GHzto 2.5GHz, and the frequency at which the maximal realizedgain appears is slightly lowered and then remains stable whenSs increases to the optimum value of 15.4mm. In Figure 6(d),the intermediate and highest resonant frequencies departfrom each other with the increasing Ss. So, it is evident thatSs affects the intermediate and highest resonant frequencies,as well as the impedance bandwidth, of the element and array.

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Ls = 15 mmLs = 20 mmLs = 25 mm

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Figure 5: Effects of the length of the U-slot’s horizontal arm. (a) Realized gain and axial ratio of the element. (b) Reflection coefficient of theelement. (c) Realized gain and axial ratio of the array. (d) Reflection coefficient of the array.

5International Journal of Antennas and Propagation

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7. Effects of the Excitation Modes of the Array

The layouts of the arrays using only feed_1 or feed_2 areshown in Figure 7. When the array is only excited by feed_1,feed_2 is connected with matching load (50Ω) and vice versa.The three-stage power divider is replaced by a two-stagepower divider to ensure the 90° phase difference of SFT.The other dimensions of the array are listed in the captionof Figure 1. The gain, AR, and reflection coefficient of thearray with simultaneous and respective excitations are illus-trated in Figure 8. The frequencies at which the peak gainappear are shifted slightly, and the peak gains using only

feed_1 or feed_2 are reduced around 3.7 dB compared withthe one simultaneously using two feeds, as seen inFigure 8(a). Besides, the AR deteriorates in the working fre-quency range using only feed_1 or feed_2. The reflectioncoefficients of the array using simultaneous and respectiveexcitations are shown in Figure 8(b). Although the all the res-onant frequencies are changed, the reflection coefficient stillremains less than −10dB from 1.6 to 2.5GHz. These resultsindicate that the gain and circular polarization of the arraywith simultaneously using the two feeds are enhanced signif-icantly, compared with the case of using only feed_1 orfeed_2.

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(d)

Figure 6: Effects of the length of the U-slot’s vertical arm. (a) Realized gain and axial ratio of the element. (b) Reflection coefficient of theelement. (c) Realized gain and axial ratio of the array. (d) Reflection coefficient of the array.

6 International Journal of Antennas and Propagation

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8. Experimental Results

A 2× 2 MSA is fabricated, and the prototype is shown inFigure 9. The two dielectric substrates are fixed together byscrews, and four hollow pillars are used to ensure the height

Matching load

(a)

Matching load

(b)

Figure 7: Respective excitations for the array: (a) Only feed_1 is excited; (b) only feed_2 is excited.

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Figure 8: Effects of different excitation modes for the array. (a) Realized gain and axial ratio. (b) Reflection coefficient.

Figure 9: The fabricated prototype of the antenna array. 1.25 1.50 1.75 2.00 2.25 2.50 2.75−35

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Figure 10: Simulated and measured reflection coefficients of theproposed array.

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−90 −60 −30 0 30 60 900.0

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Mea. AR, 𝜑 = 0°Mea. AR, 𝜑 = 45°Mea. AR, 𝜑 = 90°

Sim. AR, 𝜑 = 0°Sim. AR, 𝜑 = 45°Sim. AR, 𝜑 = 90°

Mea. AR, 𝜑 = 0°Mea. AR, 𝜑 = 45°Mea. AR, 𝜑 = 90°

Sim. AR, 𝜑 = 0°Sim. AR, 𝜑 = 45°Sim. AR, 𝜑 = 90°

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Mea. AR, 𝜑 = 0°Mea. AR, 𝜑 = 45°Mea. AR, 𝜑 = 90°

Sim. AR, 𝜑 = 0°Sim. AR, 𝜑 = 45°Sim. AR, 𝜑 = 90°

Mea. AR, 𝜑 = 0°Mea. AR, 𝜑 = 45°Mea. AR, 𝜑 = 90°

Sim. AR, 𝜑 = 0°Sim. AR, 𝜑 = 45°Sim. AR, 𝜑 = 90°

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Mea. AR, 𝜑 = 0°Mea. AR, 𝜑 = 45°Mea. AR, 𝜑 = 90°

Sim. AR, 𝜑 = 0°Sim. AR, 𝜑 = 45°Sim. AR, 𝜑 = 90°

Mea. AR, 𝜑 = 0°Mea. AR, 𝜑 =4 5°Mea. AR, 𝜑 = 90°

Sim. AR, 𝜑 = 0°Sim. AR, 𝜑 = 45°Sim. AR, 𝜑 = 90°

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0

030

60

90

120

150180

210

240

270

300

330

00

000

(c)

Figure 11: Simulated and measured radiation patterns and axial ratios of the array. (a) 1.6GHz. (b) 2.1GHz. (c) 2.6GHz.

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of the air gap. Comparison of the measured and simulatedS11 of the array is shown in Figure 10. The measured reflec-tion coefficients agree very well with the simulated ones, andthe −10dB S11 bandwidth is about 75% (1.25–2.75GHz).The radiation patterns at 1.6, 2.1, and 2.6GHz in the φ = 0°,φ = 45°, and φ = 90° planes are shown in Figure 11, in whichthe experimental results show good agreement with thenumerical predictions. The corresponding 3 dB beamwidthsin the three planes are 46.8°, 45.45°, and 44.75° at 1.6GHz,38.25°, 38.10°, and 37.55° at 2.1GHz, and 30.4°, 29.75°, and28.85° at 2.6GHz, respectively, which suggests good symme-tries in themeasured radiation patterns of the proposed array.

As seen in Figure 12(a), themeasured realized gains are lessthan the simulated ones by 1dB or so, which may be caused bythe uncertainties in the measurements and by the losses in thefeeding network and other parts of the array as well. The mea-sured peak realized gain of the array is 12.3dBic at 2.07GHz,and the realized gain is quite stable within the frequencyrange of 1.98–2.2GHz that is designated for S-band satellitecommunications. The fractional 3 dB gain bandwidth is

20.8%, ranging from 1.94 to 2.39GHz with the center fre-quency being 2.09GHz. The realized gain bandwidth is com-parable with that presented in [6], but the profile of theproposed design is only one-tenth of the thickness of thearray in [6]. Although nearly 40% bandwidth is achieved in[8], the peak realized gain of that array is 1.8 dB lower thanour design, and its occupied volume is 7 times larger than thatof the presented one. Since the product of the gain and thebandwidth would be approximately a constant for an array,the measured results are reasonable. The simulated efficiencyof the array is shown in Figure 12(a), which is greater than42% within the 3 dB gain bandwidth. Figure 12(b) illustratesthe measured and simulated AR, and good agreement andLHCP performance are observed. The measured 3 dB ARbandwidth is 53% (1.54–2.65GHz), which is entirely coveredby the −10 dB S11 bandwidth.

Comparisons of the overall performances of the proposedMSA with those of other referenced 2 × 2 arrays are listed inTable 1. As shown in the table, when compared with thearrays in [4, 5], the proposed array provides wider global

0

5

10

15

20

1.5 1.6 1.7 1.8 1.9 2.0 2.1 2.2 2.3 2.4 2.5 2.6 2.70.0

0.2

0.4

0.6

0.8

1.0

Mes. LHCP gainSim. LHCP gain

Frequency (GHz)

Sim. total efficiency

LHCP

gai

n (d

Bic)

Tota

l effi

cien

cy

(a)

1.4 1.6 1.8 2.0 2.2 2.4 2.6 2.80

1

2

3

4

5

6

Frequency (GHz)

SimulatedMeasured

Axi

a rat

io (d

B)(b)

Figure 12: (a, b) Simulated and measured axial ratio and realized gain of the array.

Table 1: Measured performance comparison of the proposed design and the previous 2 × 2 CP arrays.

Array Overall sizes (λ03) −10 dB S11 BW (%) 3 dB AR BW (%) 3 dB gain BW (%) Peak gain (dBic) Global bandwidth (%)

Proposed 1 33 × 1 33 × 0 04 75 53 20.8 12.3 20.8

[4] 1 50 × 1 50 × 0 06 20.8 17.6 13 11.5 13

[5] 1 82 × 1 82 × 0 03 18 12.7 16.6 12 12.7

[6] 1 72 × 1 72 × 0 44 48 30 30 12.8 30

[7] 1 80 × 1 80 × 0 16 46.6 40 40 10.9 40

[8] 1 84 × 1 84 × 0 15 46.8 45 47 10.5 45

[9] 1 46 × 1 33 × 0 11 51 27 27 12.7 27

[10] 1 53 × 1 53 × 0 05 54.2 39.3 57 11.3 39.3

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bandwidth (20.8%, 1.94–2.39GHz) and higher peak gain(12.3 dBic) with smaller occupied volume, even though thevolumes of the array in [4, 5] are 1.91 times and 1.41 timesof the proposed one, respectively. Although the global band-width is 30% in [6]; however, the profile of the proposeddesign is only 1/10 of the thickness and almost 1/20 of thevolume of the array in [6], respectively, and the peak realizedgains are comparable. Although nearly 40% global band-width is achieved in [7, 8], the peak realized gains of thatarrays are 1.4 dB lower than our design, and their occupiedvolumes are 7 times larger than that of the proposed one.Although the global bandwidth array is 27% in [9], one moresubstrate and extra foam layers are needed compared withthe structure of the proposed array, which means that theproposed array owns relatively low cost and simpler con-struction. The global bandwidth is 39% in [10], but the pro-posed array provides higher gain with smaller occupiedvolume. These comparisons indicate that there exists thecompromise between radiation efficiency and antenna size,and the reduction in radiation efficiency with smaller size isinevitable. There are some references with a much wider3 dB bandwidth gain, but these antennas always have rela-tively large sizes in both lateral and lengthways directions.Our main concern is focused on the reduction of size of thearray antenna while maintaining good electrical perfor-mances. Compared with the existing references of compactarray antennas, especially with [4, 5], the proposed arrayantenna provides better electrical performances with smalleroccupied volume.

9. Conclusion

In this article, a 2 × 2 MSA consisting of dual-feed wide-band CP U-slot patch antenna elements is presented. Theoverall size of the array is as small as 1 33λ0 × 1 33λ0 ×0 04λ0 corresponding to the center frequency of2.1GHz, and the −10 dB S11 and 3dB AR bandwidthsreach 75% (1.25–2.75GHz) and 53% (1.54–2.65GHz),respectively, which means 53% usable overlapped band-width. The measured peak realized gain is 12.3 dBic,and the realized gain is stable within the frequency rangeof satellite communications at S-band. Compared withother designs reported in [4–8], the proposed MSA pos-sesses wider overlapped impedance and AR bandwidth,smaller lateral size, and lower profile. Being widebandperformance and small in size, the proposed array ispromising in its applications for modern wireless commu-nication systems.

Data Availability

The dimensions of the array used to support the findingsof this study are included within the article.

Conflicts of Interest

The authors declare that there is no conflict of interestregarding the publication of this paper.

Acknowledgments

The research and publication of this article were funded bythe National Natural Science Foundation of China underGrant no. 61471040.

References

[1] P. S. Hall, J. S. Dahele, and J. R. James, “Design principles ofsequentially fed, wide bandwidth, circularly polarised micro-strip antennas,” IEE Proceedings H Microwaves, Antennasand Propagation, vol. 136, no. 5, p. 381, 1989.

[2] P. S. Hall, “Application of sequential feeding to wide band-width, circularly polarised microstrip patch arrays,” IEE Pro-ceedings H Microwaves, Antennas and Propagation, vol. 136,no. 5, pp. 390–398, 1989.

[3] S. Maddio, “A compact wideband circularly polarized antennaarray for C-band applications,” IEEE Antennas and WirelessPropagation Letters, vol. 14, pp. 1081–1084, 2015.

[4] W. Yang, J. Zhou, Z. Yu, and L. Li, “Bandwidth- and gain-enhanced circularly polarized antenna array using sequentialphase feed,” IEEE Antennas and Wireless Propagation Letters,vol. 13, pp. 1215–1218, 2014.

[5] C. Deng, Y. Li, Z. Zhang, and Z. Feng, “Awideband sequential-phase fed circularly polarized patch array,” IEEE Transactionson Antennas and Propagation, vol. 62, no. 7, pp. 3890–3893,2014.

[6] R. Caso, A. Buffi, M. Rodriguez Pino, P. Nepa, and G. Manara,“A novel dual-feed slot-coupling feeding technique for circu-larly polarized patch arrays,” IEEE Antennas and WirelessPropagation Letters, vol. 9, pp. 183–186, 2010.

[7] L. Bian and X. Q. Shi, “Wideband circularly-polarized serialrotated 2×2 circular patch antenna array,” Microwave andOptical Technology Letters, vol. 49, no. 12, pp. 3122–3124,2007.

[8] J. W. Wu and J. H. Lu, “2×2 circularly polarized patch antennaarrays with broadband operation,” Microwave and OpticalTechnology Letters, vol. 39, no. 5, pp. 360–363, 2003.

[9] Nasimuddin, Z. N. Chen, and K. P. Esselle, “Wideband circu-larly polarized microstrip antenna array using a new singlefeed network,” Microwave and Optical Technology Letters,vol. 50, no. 7, pp. 1784–1789, 2008.

[10] S. Mohammadi-Asl, J. Nourinia, C. Ghobadi, andM. Majidzadeh, “Wideband compact circularly polarizedsequentially rotated array antenna with sequential-phase feednetwork,” IEEE Antennas and Wireless Propagation Letters,vol. 16, pp. 3176–3179, 2017.

[11] M. He, X. Ye, P. Zhou, G. Zhao, C. Zhang, and H. Sun, “Asmall-size dual-feed broadband circularly polarized U-slotpatch antenna,” IEEE Antennas and Wireless Propagation Let-ters, vol. 14, pp. 898–901, 2015.

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