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Circularly polarized crossed dipole on an HIS for 2.4/5.2/5.8-GHz WLAN applications

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A triband circularly polarized (CP) crossed-dipole antenna is introduced for 2.4/5.2/5.8-GHz wireless local area network (WLAN) applications. It employs a single feed and only two crossed trident-shaped dipoles as the primary radiating elements. To achieve a compact radiator size, two techniques are utilized, namely, insertion of a meander-line segment in the middle branch of the tridents and termination of all trident arms with arrowhead-shaped tips. The crossed trident-shaped dipoles are backed by a high impedance surface (HIS) to achieve a broadband characteristic and unidirectional radiation pattern at three bands. The measured impedance bandwidths, based on the $-$10-dB reflection coefficient values, are 2.21–2.62 GHz (410 MHz), 5.02–5.44 GHz (420 MHz), and 5.62–5.96 GHz (340 MHz), and the measured 3-dB axial-ratio bandwidths are 2.34–2.58 GHz (240 MHz), 5.14–5.38 GHz (240 MHz), and 5.72–5.88 GHz (160 MHz). The proposed antenna exhibits right-hand circular-polarized radiation with high gain.
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1464 IEEE ANTENNAS AND WIRELESS PROPAGATION LETTERS, VOL. 12, 2013
Circularly Polarized Crossed Dipole on an HIS
for 2.4/5.2/5.8-GHz WLAN Applications
Son Xuat Ta, Ikmo Park, and Richard W. Ziolkowski, Fellow, IEEE
Abstract—A triband circularly polarized (CP) crossed-dipole
antenna is introduced for 2.4/5.2/5.8-GHz wireless local area net-
work (WLAN) applications. It employs a single feed and only two
crossed trident-shaped dipoles as the primary radiating elements.
To achieve a compact radiator size, two techniques are utilized,
namely, insertion of a meander-line segment in the middle branch
of the tridents and termination of all trident arms with arrow-
head-shaped tips. The crossed trident-shaped dipoles are backed
by a high impedance surface (HIS) to achieve a broadband char-
acteristic and unidirectional radiation pattern at three bands. The
measured impedance bandwidths, based on the 10-dB reection
coefcient values, are 2.21–2.62 GHz (410 MHz), 5.02–5.44 GHz
(420 MHz), and 5.62–5.96 GHz (340 MHz), and the measured
3-dB axial-ratio bandwidths are 2.34–2.58 GHz (240 MHz),
5.14–5.38 GHz (240 MHz), and 5.72–5.88 GHz (160 MHz). The
proposed antenna exhibits right-hand circular-polarized radiation
with high gain.
Index Terms—Circular polarization, crossed-dipole, high
impedance surface reector, wireless local area network.
I. INTRODUCTION
OWING to the proliferation of wireless communica-
tion systems nowadays, people rely more and more
on their information search applications using mobile, hand-
held, and portable terminals. Thus, wireless local area net-
works (WLANs) have become the popular choice for Internet
access. WLAN uses a lower frequency band of 2.4–2.485 GHz
for the IEEE 802.11b/g standard and two upper frequency
bands of 5.15–5.35 and 5.725–5.875 GHz for the IEEE 802.11a
standard. The antennas for some applications in the WLAN
bands, such as Wi-Fi access points [1], gap llers [2], and
RFID readers [3], require a unidirectional pattern to provide
high security and efciency of the propagation channels.
Additionally, to mitigate the multipath problem due to the
reections from building walls and ground surfaces, circularly
polarized (CP) antennas have been widely used in these WLAN
applications [4]. A single antenna for all of these WLAN ap-
plications would require stable triband CP operation covering
entirely the 2.4/5.2/5.8-GHz bands with broad impedance and
3-dB axial-ratio (AR) bandwidths, as well as similar radiation
Manuscript received August 02, 2013; revised September 02, 2013 and Oc-
tober 01, 2013; accepted October 24, 2013. Date of publication November 07,
2013; date of current version November 14, 2013.
S. X. Ta and I. Park are with the Department of Electrical and Com-
puter Engineering, Ajou University, Suwon 443-749, Korea (e-mail:
tasonxuat@ajou.ac.kr; ipark@ajou.ac.kr).
R. W. Ziolkowski is with the Department of Electrical and Computer
Engineering, University of Arizona, Tucson, AZ 85721 USA (e-mail:
ziolkowski@ece.arizona.edu).
Color versions of one or more of the gures in this letter are available online
at http://ieeexplore.ieee.org.
Digital Object Identier 10.1109/LAWP.2013.2288787
pattern characteristics. Several CP antenna types for WLAN
applications have been reported, including a dielectric res-
onator antenna [4], a microstrip patch antenna [5], and a slot
antenna [6]. However, these antennas were presented simply
for single- or dual-band operations.
On the other hand, in the past few years, various antennas
have been intensively engineered using electromagnetic meta-
materials to improve their performance characteristics. Linearly
polarized antennas have been incorporated with metamaterial
substrates to achieve impedance bandwidth enhancements and
unidirectional radiation patterns along with prole miniaturiza-
tion [7]. Furthermore, metamaterial structures have been widely
applied in CP antennas [8], [9]. However, the above-mentioned
CP antennas are not suitable for multiband communications
with large frequency ratios because of the nature of their
radiators and the bandwidths of the metamaterial structures.
This letter introduces a triband antenna for 2.4/5.2/5.8-GHz
WLAN applications. Two compact-sized trident-shaped dipole
elements are employed as the primary radiating elements for the
indicated three bands. They are fed by a vacant-quarter printed
ring that acts as a 90 phase delay to generate the desired CP
radiation [10]. The crossed dipoles are characterized rst in free
space (without a reector) and then in the presence of a high
impedance surface (HIS) reector. The HIS reector-backed
trident-shaped elements achieve broad impedance bandwidth,
good AR performance, and unidirectional radiation patterns
over all of the operating bands. Compared to the crossed dipoles
on the metallic cavity-backed reector [10], [11], the presented
antenna yields a lower prole andanimprovement
in the 3-dB AR bandwidth at the lower band. The resulting
antenna system is characterized rst with the ANSYS-Ansoft
High Frequency Structure Simulator (HFSS); its simulated
performance is then veried by measurements.
II. ANTENNA GEOMETRY AND DESIGN
Fig. 1 shows the geometry of the proposed antenna. It is com-
posed of two printed dipole elements, a coaxial line, and an HIS
reector. The HIS reector is constructed as a compact two-di-
mensional array of square patches printed periodically on a con-
ductor-backed substrate [7]. The RT/Duroid 6010 board mate-
rial was selected for the HIS substrate. It has a relative permit-
tivity of 10.2, a loss tangent of 0.0023, and a thickness of .
The size of the square patch in a unit cell is and the
overall size of the unit cell is . The printed dipole elements
are suspended at a height of above the HIS reector. The ra-
diatingelementsareprintedonbothsidesofa -sized
sheet of RT/Duroid 5880 substrate, which has a relative permit-
tivity of 2.2, a loss tangent of 0.0009, and a thickness of .
Each trident-shaped arm of each dipole element is divided into
1536-1225 © 2013 IEEE
TA et al.: CP CROSSED DIPOLE ON HIS FOR 2.4/5.2/5.8-GHz WLAN APPLICATIONS 1465
Fig. 1. Geometry of the crossed trident-shaped dipole elements: (a) top view,
(b) side view with coaxial feed, and (c) a trident arm with its vacant-quarter
printed ring.
three branches with different lengths, which were specically
designed to operate in the 2.4/5.2/5.8-GHz WLAN bands. The
center branch of each trident arm is designed to operate over
the 2.4-GHz band. It contains a compact meander line and has
an end that is shaped like an arrowhead to reduce its size [10].
The meander line was placed at a distance from the center
with trace width , gap size , and length . The two other
branches also are barbed at their ends; their sizes are adjusted
to operate separately in the 5.2- and 5.8-GHz bands. To gen-
erate the desired CP radiation, two of these trident-shaped el-
ements are crossed via a 90 phase delay line that consists of
a vacant-quarter printed ring, whose radius and width are
and , respectively. One pair is located on the top side of the
RT/Duroid 5880 sheet, the other on its bottom side. The com-
bined pairs are arranged to form two dipole radiators. The va-
cant-quarter printed ring has a length of approximately at
the lower band and at the relatively close upper bands
(being the guided wavelength at the center frequency). In
this manner, the requisite 90 phase difference is obtained for
each of the three different frequency bands.
A simple model based on simulating the scattering parame-
ters of a single-port air-lled waveguide with two PEC amd two
PMC walls was used for the HIS simulation [12]. The HIS thick-
ness was mm ( at 2.45 GHz). The size of
a unit cell was mm (at 2.45 GHz),
and each metal patch in the unit cell had mm. This
design yielded a frequency of 2.475 GHz for the 0 reection
phase and frequencies in the range of 2.30–2.60 GHz for the 90
Fig. 2. Simulated (a) reection coefcient, (b) AR, and (c) broadside gain of
the crossed trident-shaped dipole elements radiating in different congurations.
For the metallic and HIS reector cases, the spacing from the bottom of the
radiating elements to the top of the reectors was mm.
to reection phase values, which completely covered the
2.4-GHz WLAN band.
The crossed trident-shaped dipole elements were rst
optimized in free space for triband operation covering the
2.4/5.2/5.8-GHz WLAN bands with good CP radiation charac-
teristics. Referring to Fig. 1, the parameters were as follows:
mm, mm, mm, mm,
mm, mm, mm, mm,
mm, mm, mm, mm,
mm, mm, mm,
mm, mm, mm, and mm.
As shown in Fig. 2(a) and (b), the antenna in free space yielded
impedance matching bandwidths of 2.33–3.00, 5.07–5.51, and
5.68–6.00 GHz for the 10-dB reection coefcient and 3-dB
AR bandwidths of 2.44–2.52, 5.20–5.31, and 5.75–5.85 GHz
with CP center frequencies of 2.47, 5.3, and 5.83 GHz, respec-
tively. The CP center frequency is dened here as the frequency
at which the AR has its minimum value.
1466 IEEE ANTENNAS AND WIRELESS PROPAGATION LETTERS, VOL. 12, 2013
In order to generate the desired unidirectional radiation
pattern, the crossed trident-shaped dipole elements were placed
rst above a mm metallic reecting surface. The
presence of the metallic surface signicantly affected the
impedance matching and the CP radiation performance of
the antenna. From HFSS simulations for different air gaps
between the reector and the radiator, it was found that
mm ( in the 5-GHz WLAN bands) exhibited
the best results in terms of the impedance and CP radiation
bandwidths, as well as the minimum AR for the two upper
bands (see Fig. 2(a) and (b)). Additionally, the combination
with mm yielded an dB in the lower op-
erating band. On the other hand, mm ( in
the 2.4-GHz WLAN band) yielded the widest impedance and
3-dB AR bandwidths in that lower band. Unfortunately, the
unidirectional patterns in both upper bands were degraded un-
acceptably. These results indicated that the optimized antenna
characteristics in terms of impedance matching and CP radia-
tion were achieved at each band when the air gap between the
metallic surface and the radiating elements was approximately
a quarter-wavelength at each center frequency. Therefore, it
was not possible to determine an appropriate value of for all
of the operating bands, particularly since the frequency ratio
between lower and upper ones is greater than two.
To circumvent this difculty, the HIS structure was employed
as the reector for the crossed trident-shaped dipole radiating el-
ements. For such a design, the HIS is required to exhibit a high
surface impedance over the 2.4-GHz band, but must operate as a
nite-sized metallic reector over the 5.2- and 5.8-GHz bands.
The HIS and reector parameters were judiciously selected to
achieve these characteristics. It was determined that suspending
the radiating elements above the HIS at mm offered
the best performance. Moreover, a 6 6 version of the HIS
structure with dimensions of mm was chosen
for the nal design based on compromises between the overall
size and stable antenna performance. Because of the presence
of this HIS, the optimized design parameters of the crossed tri-
dent-shaped dipole elements had to be modied slightly from
its free-space design. The nal design parameter values were as
follows: mm, mm, mm,
mm, mm, mm, mm,
mm, mm, mm, mm,
mm, mm, mm, mm,
mm, mm, mm,
mm, mm, mm, mm,
and mm.
Fig. 2 also provides comparisons of the performance of
the crossed trident-shaped dipole elements over the metallic
surface, over the HIS, and in free space (without any reector).
Fig. 2(a) shows that the reection coefcient changed only
slightly in the two upper bands for all cases, whereas the
metallic reector case yielded narrower impedance band-
widths, particularly over the lower band, than the other two
cases. Fig. 2(b) shows that the AR performance remained
almost the same in all cases at the upper bands. On the other
hand, at the lower band, the CP radiation degraded signicantly
in the metallic reector case. In fact, it yielded a zero 3-dB AR
bandwidth. The HIS reector exhibited a signicant improve-
mentinthe3-dBARb
andwidth even when compared to the
Fig. 3. (a) Top view of the fabricated antenna. Comparisons of the simulation
and measurement results: (b) reection coefcients and (c) AR values.
free-space case. It yielded a 2.36–2.60-GHz range for the 3-dB
AR. As shown in Fig. 2(c), without any reector, the crossed
trident-shaped dipole elements radiate a quasi-bidirectional
electromagnetic wave and have a gain of only approximately
2 dBi in all of the bands. Fig. 2(c) also shows that the gain
is improved signicantly with the presence of the metallic or
HIS reectors. These two cases showed a gain higher than
6.0 and 7.5 dBi in the 2.4- and 5.2/5.8-GHz WLAN bands,
respectively. In addition, the proposed antenna has wider
beamwidths and consequently yielded slightly lower broadside
gain as compared to the metallic reector case at the lower
band. These results indicate that the HIS reector enhanced
the performance of the crossed trident-shaped dipole radiating
elements in terms of the resulting broadband impedance and
CP radiation characteristics and unidirectional gain patterns.
III. MEASUREMENTS RESULTS
The antenna system consisting of the crossed trident-shaped
dipole elements combined with the HIS reector [Fig. 3(a)] was
constructed and tested. The printed dipoles on both sides of
the RT/Duroid 5880 sheet and on the top surface of the HIS
TA et al.: CP CROSSED DIPOLE ON HIS FOR 2.4/5.2/5.8-GHz WLAN APPLICATIONS 1467
Fig. 4. Comparisons of the simulated and measured gain patterns at (a) 2.45,
(b) 5.25, and (c) 5.80 GHz.
reector RT/Duroid 6010 sheet were constructed via a stan-
dard wet etching technology. The comparison of the simulated
and measured reection coefcients of the proposed antenna is
shown in Fig. 3(b). The measured impedance bandwidths for
the 10-dB reection coefcient were 2.21–2.62, 5.02–5.44,
and 5.62–5.96 GHz, which agreed quite closely with the simu-
lated bandwidths of 2.28–2.69, 5.01–5.44, and 5.64–5.98 GHz,
respectively. Similar good agreement between the simulated
and measured ARs of the proposed antenna is demonstrated in
Fig. 3(c). The measured 3-dB AR bandwidths were 2.34–2.58,
5.14–5.38, and 5.72–5.88 GHz, whereas the simulated 3-dB AR
bandwidths were 2.36–2.60, 5.19–5.31, and 5.74–5.85 GHz.
The measurements yielded 2.49, 5.24, and 5.82 GHz for the
CP center frequencies in the three operating bands with ARs
of 1.84, 1.75, and 1.62 dB, respectively.
The gain patterns of the crossed trident-shaped dipole ele-
ments combined with the HIS reector are shown in Fig. 4
at 2.45, 5.25, and 5.80 GHz. The radiated elds had a right-
hand circular polarization (RHCP) and a quite symmetrical pro-
le in both the -and -planes. At 2.45 GHz, the measure-
ments yielded a gain of 6.87 dBic and half-power beamwidths
(HPBWs)of83 and 77 in the -and -planes, respectively.
At 5.25 GHz, the measurements yielded a gain of 6.6 dBic and
HPBWs of 81 in both the -and -planes. At 5.80 GHz,
the measurements yielded a gain of 6.8 dBic, and HPBWs of
68 and 65 in the -and -planes, respectively. The dif-
ference between the measurement and the simulation (back-ra-
diation LHCP) is attributed to the effects of the plastic rack
and tape that were used to anchor the antenna during pattern
measurement. Additionally, the measured radiation efciencies
were 90.2%, 85.7%, and 87.4% in comparison to the simulated
values of 95.2%, 90.3%, and 88.1% at 2.45, 5.25, and 5.8 GHz,
respectively.
IV. CONCLUSION
A triband CP antenna was introduced for 2.4/5.2/5.8-GHz
WLAN applications. Two trident-shaped dipole elements
were employed as the radiating elements. Meander lines and
arrowhead- and barbed-shaped tips were employed to achieve
a compact radiator size. To generate the CP radiation, the
dipoles were crossed via a vacant-quarter printed ring that
allows broadband characteristics. An HIS was designed as
the reector of the proposed radiating dipole elements for
broad impedance and AR bandwidth performance and stable
unidirectional gain patterns in all of the operating bands. The
proposed HIS-reector-based triband dipole antenna resulted
in measured 10-dB impedance bandwidths of 2.21–2.62 GHz
(410 MHz), 5.02–5.44 GHz (420 MHz), and 5.62–5.96 GHz
(340 MHz), as well as 3-dB AR bandwidths of 2.34–2.58 GHz
(240 MHz), 5.14–5.38 GHz (240 MHz), and 5.72–5.88 GHz
(160 MHz). Additionally, the measured radiation performance
characteristics of the antenna system included unidirectional
RHCP gain patterns, high radiation efciencies, and a stable
operation over all three operating bands.
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... mm 3 ) antenna shows that a measured 3-dB axial ratio with a relatively UWB of 14.6% (13.9-16.1 GHz), 6.7% (24.2-25.9 GHz) is distinctively better than previously proposed CP antennas [33,34]. ...
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A dual-band, wide-beam, circularly-polarised crossed asymmetric dipole antenna is presented for global positioning system (GPS) applications. Each dipole arm has an asymmetrically barbed arrowhead and contains two different-sized printed-inductors to reduce the length of the primary radiating element and to achieve dual-band operation. At 1.575 GHz, the antenna has a gain of 7.5 dBic, a radiation efficiency of 97.4 , and a 3dB axial ratio (AR) beamwidth of 143° and 152° in the x-z and y-z planes, respectively. At 1.227 GHz, the antenna has a gain of 6.3 dBic, a radiation efficiency of 90%, and a 3dB AR beamwidth of 132° and 140° in the x-z and y-z planes, respectively.
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This communication presents a multi-band, circularly polarized (CP), wide beamwidth, highly efficient antenna for use in global positioning systems (GPS). The primary radiating elements are two crossed printed dipoles, which incorporate a 90° phase delay line realized with a vacant-quarter printed ring to produce the CP radiation and broadband impedance matching. To achieve multiple resonances, each dipole arm is divided into four branches with different lengths, and a printed inductor with a barbed end is inserted in each branch to reduce the radiator size. An inverted, pyramidal, cavity-backed reflector is incorporated with the crossed dipoles to produce a unidirectional radiation pattern with a wide 3-dB axial ratio (AR) beamwidth and a high front-to-back ratio. The multi-band antennas have broad impedance matching and 3-dB AR bandwidths, which cover the GPS L1-L5 bands.
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Compact, asymmetricsymmetric-slottedslit-microstrip patch antennas on reactive impedance surface (RIS) are proposed and studied for circularly polarized (CP) radiation. The antennas consist of a slotted-slit-microstrip patch on a RIS substrate. The CP radiation with compact size is achieved by asymmetricsymmetric-slot-slit cut along the orthogonaldiagonal directions of the patch radiator. The asymmetricsymmetric-slottedslit microstrip patches on the RIS structure are used for further miniaturization of the antenna with improvement in CP radiation. The measured results of the compact asymmetric-cross slotted square patch antenna are 1.6% (2.51-2.55 GHz) for 3-dB axial ratio bandwidth, 5.2% (2.47-2.60 GHz) for 10-dB return loss bandwidth, and 3.41 dBic for gain over 3-dB axial ratio bandwidth. The overall antenna volume is 0.292λo × 0.292λo × 0.0308λo on a low cost FR4 substrate at 2.5 GHz.
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The rectangular dielectric resonator antenna (DRA) centrally fed by a probe is investigated. Its operating mode is analogous to the $TM_{011}$ mode of a cylindrical DRA. The DRA radiates like an electric monopole, generating omnidirectional linearly polarized (LP) fields. Based on this LP design, a novel omnidirectional circularly polarized (CP) DRA is studied for the first time. Slots are introduced to the sidewalls of the DRA, exciting a degenerate mode for the generation of CP fields. To demonstrate the idea, an omnidirectional CP DRA was designed for WLAN (2.4–2.48 GHz) applications. The reflection coefficient, axial ratio (AR), radiation pattern, and antenna gain are studied, and reasonable agreement between the measured and simulated results is observed.
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The relatively high dielectric constant of the low-temperature cofired ceramic (LTCC) substrate materials can reduce the antenna gain and increase the mutual coupling in antenna arrays due to the increased surface-wave power. We present a design of a uniplanar-compact electromagnetic band-gap (UC-EBG) structure on the Ferro A6-S LTCC tape system operating in the 60-GHz frequency band. The UC-EBG design is used with an aperture-coupled microstrip-line-fed patch antenna (ACMPA) and with a 16-element array to increase the antenna gain. The UC-EBG is also used to reduce the mutual coupling between antennas in the E- and H-planes. The performance of the antennas with and without UC-EBG are evaluated with the probe-station and radiation-pattern measurements. In addition, the reflection from the UC-EBG surface is measured using a WR-15 waveguide excitation. Good agreement is achieved between the simulations and the measurements. An increase of up to 4.5 and 2.3 dBi is achieved in the gain for a single element and for a 16-element array, respectively. A reduction of up to 11.8 dB is observed in the E-plane coupling between two patches. The presented design is suitable for electromagnetic shielding, reduction of coupling in integrated LTCC modules, and providing high gain antennas for low-cost millimeter-wave applications.
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A metamaterial-inspired low-profile patch antenna is pro- posed and studied for circularly-polarized (CP) radiation. The present antenna, which has a single-fed configuration, is loaded with the com- posite right/left-handed (CRLH) mushroom-like structures and a reactive impedance surface (RIS) for miniaturization purpose. The CP radiation is realized by exciting two orthogonally-polarized modes simultane- ously which are located in the left-handed (LH) region. The detailed antenna radiation characteristics are examined and illustrated with both simulated and experimental results. The CP performance can be con- trolled in several different ways. This antenna exhibits an overall size of at 2.58 GHz and a radiation efficiency around 72%. Finally, based on the proposed CP patch antenna, a compact dual-band dual linearly-polarized patch antenna has also been designed and fabricated. Promising experimental results are observed. Index Terms—Circular polarization, composite right/left-handed (CRLH), dual-band antenna, microstrip antenna, miniaturized antenna, reactive impedance surface (RIS).
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This article describes a dual-band gap-filler microstrip antenna with nearly equal gain and similar radiation patterns in the 2.4-GHz and 5.8- GHz ISM satellite Internet service bands.The proposed antenna has two Y-shaped slots on the microstrip patch and is fabricated on an RO4003 substrate with a dielectric constant of 3.38 and a thickness of 0.508 mm. The dimensions of the antenna are 50 mm × 47.5 mm × 6.5 mm, and it is fed by a coaxial cable. The measured bandwidths of the antenna are 2.376–2.492 GHz and 5.425–6.055 GHz for a voltage standing wave ratio of less than 2. At 2.42 GHz, the antenna has a broadside radiation pattern with a half-power beamwidth (HPBW) of 70° in the x-z plane and 80° in the y-z plane. At 5.75 GHz, it has a HPBW of 65° in the x-z plane and 75° in the y-z plane. The measured gain is 8.37 dB in the 2.4-GHz ISM band and 8.38 dB in the 5.8 GHz ISM band. © 2010 Wiley Periodicals, Inc. Microwave Opt Technol Lett 52: 1825–1827, 2010; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.25325
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A wideband slotted circularly polarized (CP) patch antenna is introduced for 5–6-GHz WLAN applications. A small 14.6 × 14.6 mm square patch on Duroid 5880 substrate can provide a return-loss bandwidth of 11% and an axial-ratio bandwidth of 8% with a single feed. A possible reconfigurable design achievable using PIN diode or MEMS switches capable of left-hand or right-hand circular polarization is also introduced. © 2005 Wiley Periodicals, Inc. Microwave Opt Technol Lett 45: 279–285, 2005; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.20796
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A novel design is described for a dual-band circularly polarized pentagonal slot antenna. The circular polarization (CP) radiation characteristics are achieved by loading with proper asymmetry, which is placed at the opposite angle of the feed line. A prototype of the proposed design is implemented and measured. Measured results show that radiation patterns with good CP characteristics are obtained at the two resonant frequencies.