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ISSN: 2277-3754
ISO 9001:2008 Certified International Journal of Engineering and Innovative Technology (IJEIT)
Volume 3, Issue 5, November 2013
365
Abstract—In this work, replacement antenna arrays, based on
a single rectangular patch antenna designed at 2.4 GHz, are
presented. The dual antenna arrays have Coupled Microstrip
Antenna configuration. Circular defects on the ground were
implemented to increase the gain. Two defects configuration were
proposed to choose the most appropriate one. The antennas were
designed and simulated using FEKO software to verify the
performance of the proposed geometries.
Index Terms— Component, Coupled Microstrip Antenna,
Current distribution, Gain, Microstrips, S11 parameter.
I. INTRODUCTION
Wi-Fi (Wireless Fidelity) is a connection mechanism of
electronic devices, such as personal computers, videogames
panels, smartphones or digital sound reproducers. They can
be connected to internet by means of an access point of a
wireless network, which generally operates at 2.4 GHz or 5
GHz. 2. 4 GHz is considered as one of the most used ranges
for wireless LAN (Local Area Network) [1].
In Mexico, the “Comisión Federal de Telecomunicaciones”
has the liability since 1996 of planning, management, and
control of the radio electric spectrum [2]. This dependence
also realizes the updating of the National Chart of
Frequencies. The frequency range 2360–2450 MHz,
corresponds to fixed and mobile services, radio localization
and amateurs. 4990–5000 MHz range corresponds to fixed
and mobile services, except aeronautical mobile, radio
astronomy and spatial research (passive) [3].
Detail information about the Wi-Fi requirements can be
found in [4], while in [5], the necessity to develop antennas to
replace the original ones of some specific equipment is
commented.
Widely information about patch antenna configurations of
COMA (Coupled Microstrip Antenna) resonators can be
found in [6]. Usually, only the central resonator is connected
to a fed line. The coupling between the driver and the parasitic
patches is basically, by proximity of the close edges, or using
short microstrip sections. The feeding is analyzed in [7],
showing it as one of the most complex aspects of the antenna
design, because it occupies a considerable space, irradiates
spurious signals and consumes power from Ohmic losses.
Using COMA, it is possible to transfer part of the power
division tasks from the network feeding to the radiating
elements.
On the other hand, different defected ground structure DGS
geometries are presented in [8, 9]. Some general applications
of defected ground structure (DGS) are also described in [8].
Specific applications can be found in [10-13].
DGS or slotted ground planes are used in [10] to achieve
dual-band operation with appreciable impedance bandwidth,
producing a novel multistrip monopole antenna fed. In [11],
DGS is used to improve the electrical performance of an
antenna as well as reducing its dimension. DGS is also used to
reduce the cross-polarized (XP) radiation of a microstrip
patch antenna [12]. DGSs tend to lessen the surface waves and
consequently increase the antenna efficiency. They are also
used to enhance the properties of the proposed microstrip
antenna structure [13].
DGSs are made to counter the generation of surface waves
and also reduce the size of a microstrip antenna with parasitic
elements. DGSs have an excellent capability of harmonic
rejection [14, 15], reducing mutual coupling between antenna
array elements, reducing unwanted responses, and tuning
[16].
DGS is motivated by a study of Photonic/Electromagnetic
Band gap structures; with an equivalent L-C resonator circuit
easy to obtain [17].
In this work, the interest is focused on the development of
patch antenna arrays for Wi-Fi, using an advanced material as
substrate, considering the gain as the performance parameter
to review. The antennas design will be described in section II.
The corresponding simulations results are provided in section
III. Finally, in section IV, some concluding remarks are given.
II. ANTENNA ARRAY DESIGN
The design of the rectangular patch antennas used to
assemble the patch antenna array was designed considering
2.4 GHz as the operation frequency. The rectangular antenna
was designed, using the following equations [18, 19]. For the
patch width:
2
12
rof
cW
, (1)
where c is the constant speed of light in vacuum, r the
dielectric constant substrate and f0, the operating frequency.
An advanced material with dielectric constant r=11.2 is used.
The effective dielectric constant:
21
1212
1
2
1
W
hrrreff
if 1
h
W
. (2)
Rectangular Patch Antenna Array with Defect
Ground Structure for Wi-Fi M. Tecpoyotl-Torres, J. G. Vera Dimas, R. Castañeda-Sotelo and R. Cabello-Ruiz
Centro de Investigación en Ingeniería y Ciencias Aplicadas, CIICAp
Universidad Autónoma del Estado de Morelos, UAEM Cuernavaca, Morelos, México
ISSN: 2277-3754
ISO 9001:2008 Certified International Journal of Engineering and Innovative Technology (IJEIT)
Volume 3, Issue 5, November 2013
366
The effective length is calculated using:
reffof
c
effL
2
. (3)
The two increments in the length, which are generated by
the fringing fields, make electrical length slightly larger than
the physical length of the patch:
8.0258.0
264.03.0
412.0
h
W
reff
h
W
reff
hL
. (4)
The patch length is given by:
L
effLL 2
. (5)
The length and width of ground plane (and the substrate),
gL and gW are:
LhgL 6 and WhgW 6 . (6)
The calculated sizes of the individual rectangular patch
antenna (Figure 1) are shown in Table 1. The height of the
substrate is h=0.64 mm. Cuts on the corners of the rectangular
antenna are implemented in order to increase its gain, with a
depth of g/16, where g is the wavelength group.
Table I. Size of Individual Antennas
Sizes
PARAMETERS Length (mm)
Lp 20.1416
Wp 27.2034
Ls 23.9816
Ws 31.0434
At first, a DGS was implemented in the individual patch
antenna (Figure 2).
Later, several arrays were designed and simulated in order
to analyze their performance, all them coupled by micro strips
of length equal to g/16 and a width of 1 mm. The first array
was implemented using 5 rectangular patch antennas (Figure
3), with a total size of 93.8498 x 71.3535 mm2. In order to
increase the obtained gain, a new array of 9 rectangular
patches was also designed (Figure 4), with a total size of
93.9635x71.4352 mm2.
DGSs were implemented only for the COMA of 9 patches
in order to observe its effect on its antenna performance,
under two configurations. The first one is composed by
defects underneath of all patches, called DGS1 (Figure 5) and
a second one, where defects are applied underneath to the
driver patch, call DGS2 (Figure 6), the total size is the array is
95.1767x72.3066 mm2 in both cases. The diameters of defects
are of g/16. In all cases, short pines were used through the
parasitic patches.
Fig. 1. Rectangular patch antenna.
Fig. 2. DGS of the rectangular patch antenna.
Fig. 3. COMA with 5 parches.
Fig. 4. COMA with 9 patches.
Fig. 5. DGS1.
ISSN: 2277-3754
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Fig. 6. DGS2.
The coordinates of the feed point and the shorting pin were
established in order to have the necessary impedance
coupling.
III. SIMULATION RESULTS
For the individual antenna, the current is distributed from
the feed point (Figure 7), as it was expected.
Fig. 7. 3D current distribution on the individual patch
antenna.
Unfortunately, the gain is -2.68 dBi (see Figure 8 and 9),
this value is lower than other rectangular antenna gains using
other substrates, such as FR-4. Where the disadvantage is
their larger sizes. On the other hand, the reflection coefficient
has a value of -27.71 at 2.41 GHz (Figure 10), very near to the
design frequency. This value is widely acceptable.
When DGS is applied to the single rectangular antenna, the
current distribution shows a similar pattern to the case without
it (Figure 11). The obtained gain was of -0.742 dBi (see
Figure 8 and 9). Again, this value is lower than the
corresponding to rectangular antenna using other substrates,
such as FR-4, but it is better than the case without DGS. On
the other hand, the reflection coefficient has a value of -21.44
at 2.429 GHz (Figure 10), very near to the design frequency
and in the Wi-Fi range.
Fig. 8. Individual antenna gain, under 2D representation
Fig. 9. Individual antenna gain, under 3D representation
Fig. 10. S11 parameter of the individual antenna.
Fig. 11. 3D current distribution on a single patch with DGS.
Fig. 12. Gain of the individual antenna with DGS, under 2D
representation.
Fig. 13. Gain of the individual antenna with DGS, under 3D
representation.
ISSN: 2277-3754
ISO 9001:2008 Certified International Journal of Engineering and Innovative Technology (IJEIT)
Volume 3, Issue 5, November 2013
368
The small gain value of the individual antennas made
necessary to implement an array in order to improve their
performance.
For the antenna array based on five rectangular patches, the
current is distributed since the feed point (Figure 15), where it
can be observed a non-uniform distribution, very poor on the
array width. But in Figure 16 and 17, a notably gain increment
can be appreciated, reaching a value gain of 4.993 dBi. The
S11 parameter value also decreases until -17.6 dB, providing
a better response compared with the individual case (Figure
18).
Fig. 14. S11 parameter of the individual antenna with DGS.
Fig. 15. 3D current distribution in the COMA with 5
rectangular patches.
Fig. 16. 2D gain of the COMA with 5 rectangular patches.
Fig. 17. 3D gain of the COMA with 5 rectangular patches.
Fig. 18. S11 of the COMA with 5 rectangular patches.
After, for the case of the antenna array based on nine
rectangular patches, the current distribution shows a more
distributed pattern (Figure 19 and 20). A notably gain
increment can be also appreciated (Figure 21 and 22),
reaching a value gain of 5.19 dBi at 6.4 deg. The S11
parameter value decreases until -9.496 dB (Figure 23),
improving the response.
Fig. 19. 3D front view of the current distribution on the
COMA with 9 rectangular patches.
Fig. 20. 3D rear view of the current distribution on the
COMA with 9 rectangular patches.
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Fig. 21. 2D gain of the COMA with 9 rectangular patches.
Fig. 22. 3D gain of the COMA with 9 rectangular patches.
Fig. 23. S11 parameter of the COMA with 9 rectangular
patches.
After to observe the better performance of COMA with 9
patches, DGS1 was implemented beneath of all patches
(Figure 24 and 25). A gain increment can be also appreciated
(Figure 26 and 27), compared with the case without DGS.
Fig. 24. 3D front view of the current distribution on the
COMA with DGS1.
Fig. 25. 3D rear view of the current distribution in the COMA
with DGS1.
A value gain of 7.01 dBi in the main lobe is obtained. The
S11 parameter value increases to -4.01 dB (Figure 28),
decreasing the response significantly, which is not suitable for
the array antenna operation.
Fig. 26. 3D gain of the COMA with 9 rectangular patches,
with DGS1.
Fig. 27. 2D gain of the COMA with DGS1.
Fig. 28. S11 parameter of the COMA with DGS1.
Finally, in order to improve the S11 response, DGS2 was
implemented, which allows obtaining an almost uniform
ISSN: 2277-3754
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Volume 3, Issue 5, November 2013
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current distribution (Figure 29 and 30). A notably gain
increment can also be appreciated (Figure 31 and 32),
reaching a gain value of 15.33 dBi at 50 deg. The S11
parameter value also decreases until -23.24 dB (Figure 33),
improving the response, as it was expected.
Fig. 29. 3D front view of the current distribution in the
COMA with DGS2
Fig. 30. 3D rear view of the current distribution in the COMA
with DGS2
Fig. 31. 2D gain of the COMA with DGS2
Fig. 32. 3D gain of the COMA with DGS2
Fig. 33. S11 parameter of the COMA with DGS2
Table II shows the parameter values of all analyzed cases,
where it is easy to compare their performance.
Table II. Parameter Values of the Implemented Antennas
Gain
[dBi]
BW
[MHz
]
S11
[dB]
Fo
[GHz]
Individual -2.68 10 -27.7
1 2.41
Individual with
defects -0.742 7.5
-21.4
4 2.429
COMA with 5
rectangular patches 4.993 12.23 -17.6 2.402
COMA with 9
rectangular patches 5.19 1
-9.49
6 2.448
COMA with DGS1 7.01 0 -4.05 2.39
COMA with DGS2 15.33 6.913 -23.2
4 2.403
IV. CONCLUSION
From the obtained results, it can be remarked that the use of
9 patches has a more uniform current distribution pattern than
in the other analyzed cases, improving considerably not only
the gain value, but also decreasing the S11 parameter value
for all considered cases without DGS. The improvement in
the gain value is considerable.
When DGSs are implemented to COMA with 9 patches, in
particular DGS2 configuration produced a notable increment
in gain. It was also showed an almost uniform distribution
current.
The next step is the implementation of this array in order to
experimentally prove its performance.
ACKNOWLEDGMENT
The authors would like to thank the partial support of
UAEM, under Ref. 07, 2013. J. G. Vera-Dimas and R.
Cabello-Ruíz express their sincere thanks to CONACyT for
the postgraduate scholarship under grants 270210/219230,
376566/248576, respectively.
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ISSN: 2277-3754
ISO 9001:2008 Certified International Journal of Engineering and Innovative Technology (IJEIT)
Volume 3, Issue 5, November 2013
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AUTHOR BIOGRAPHY
Margarita Tecpoyotl Torres (corresponding
author) received the Mathematician degree from
the Autonomous University of Puebla (UAP),
Mexico, in 1991. In this University, she was
graduated as Electronic Engineer in 1993. She
received the M.Sc. and Ph.D. degrees in
Electronics from National Institute of
Astrophysics, Optics and Electronics (INAOE),
México, in 1997 and 1999, respectively. Dr.
Tecpoyotl works, since 1999, at CIICAp of UAEM, Mexico, where she is
currently titular professor. Her main research interest includes MEMS and
Microwave devices. She holds the status of National Researcher (SNI, level
1).
José Gerardo Vera Dimas was graduated
from the Technologic of Morelia as Electronic
Engineer. Member IEEE since January 2005. He
received the award "EGRETEC 2009" by the
Association of Graduates from the Technological
Institute of Morelia. He received the M.Sc.
degree in Electronics from the UAEM.
Nowadays, he is a Ph. D. student in the CIICAp
at UAEM. He has currently two registered
patents.
Raul Castañeda Sotelo is a B. Eng. student in
FCQeI at UAEM. He also has experience in home
electrical installation and elaboration of electrical
planes.
Ramón Cabello Ruíz obtained the Bs. Sc. and the
M. Sc. from Universidad Autónoma del Estado de
Morelos, UAEM, México in 2009 and 2012,
respectively. His interest is focused on Mechanics,
Microelectromechanic and Microwave devices. He
is currently a Ph. D student in UAEM.