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International Journal of Electrical and Computing Engineering (IJECE)
Vol. 1, Issue. 4, June 2015 ISSN (Online): 2349-8218
5
Design of Patch Antenna for Multiband Operation
Using Metamaterial
1
G.Divyasri, 2
Dr. N. Gunaskaran,
1
PG Scholar, Rajalakshmi Engineering College, Chennai
2
Dean & Professor, Rajalakshmi Engineering College, Chennai
Abstract: The design of microstrip patch antenna has been
suggested and simulated to resonate at multiband frequency for
wireless communications- Bluetooth (2.4 GHz), WiMax (3.3
GHz) and Wi-Fi (5 GHz) respectively. The proposed antenna
has been modeled with FR4 substrate that has a dielectric
constant of 4.4 and thickness of 1.6 mm to operate with 3 GHz.
A unit of CSRR is designed to operate at 3 GHz. The array of
unit cell is implemented on the patch of 4 x 5 array. The
dimension of split in the split ring is optimized to yield the better
resonance at the desired frequencies. The proposed antenna
model is simulated using the High Frequency Structure
Simulation (HFSS) software which is based on Finite Element
Method. The simulated results shows that the proposed antenna
provides better performance in terms of VSWR, return loss and
good impedance matching.
Keywords- VSWR, Bluetooth, WiMax, WiFi, Radiation Pattern,
Input Impedance, Finite Element Method, CSRR, SRR,
Metamaterial.
I. Introduction
An antenna is a transducer which converts electrical
signal into electromagnetic waves and radiates into the
space and vice versa. The microstrip have many useful
features like low weight, low profile, light cost and ease
integration with PCBs. Besides its advantages, it has some
disadvantages, one of the major is narrow bandwidth. The
microstrip antennas have been used in many applications-
Satellite Communications, Remote Sensing, Biomedical
etc.,. The new generations of cellular telephones integrate
several communication systems at once such as DCS,
GSM, UMTS, Wi-Fi standards, WiMax etc., which makes
the need of a microstrip patch antennas to operate
multiple frequencies.
The metamaterials (MTMs) are defined as artificial
effective homogeneous EM structures with unusual
properties that are not available in nature. An effective
homogeneous structure is a structure that should have a
structural average size of the cell (p) to be much smaller
than the wavelength of the guide λg.
ie. λg > p (1)
Metamaterials are the artificial structures designed
to exhibit peculiar electromagnetic properties not
commonly found in nature. Metamaterials with negative
permeability (µ) and permittivity (ɛ), are called as left-
handed materials.
Fig. 1: Metamaterial with Array of SRRs
The single band patch antenna can be modified into
multiband antenna. In the proposed system,first the single
unit cell of CSRR is designed. Then, array of unit cells
were etched on the patch, which acts as metamaterial to
yield multiple frequency.
A. Working of Patch Antenna:
Fig. 2: Probe Feed Patch Antenna
The figure 2 gives a patch antenna composed of a
substrate with one side patch and another side a ground
plane. The center conductor of a coaxacts as a feed probe
used to couple EM energy in and out of the patch [7]. At
the patch centre, the E-field will be zero, high (+ve) on
the one side and low (-ve) at another side, and. Since it is
Patch
Ground
εr
Fringing
Field
Electric
Field Probe Feed
International Journal of Electrical and Computing Engineering (IJECE)
Vol. 1, Issue. 4, June 2015 ISSN (Online): 2349-8218
6
a cavity, the E-field does not stop at the edge of the patch;
rather, it extend the outer edge. These extensions of the
field are called as fringing fields and these makes the
patch to radiate.
II. LITERATURE SURVEY
S.Raghavan and Anoop Jayaram [1] proposed
“Metamaterial Loaded Wideband Patch Antenna”. It
discussed a new design technique to a wide band
microstrip patch antenna. The wideband was achieved by
implementing complementary square split ring resonators
with the inset feed. Artificial Neural Network was used to
optimize the dimensions of the complementary SSRR.
The Split ring resonator is etched at the two corners of the
patch where feed is given to antenna. The bandwidth of
the antenna was improved and provided good efficiency
but by compromising the gain.
Amir. Bazrkar et al [2] proposed, “Miniaturization of
Rectangular Patch Antennas partially loaded with µ-
Negative Metamaterials”. It describes a partially loaded
rectangular patch antenna by a metamaterial which
operate as µ–negative metamaterials (MNG). The
parameters like radiation pattern and return loss of the
conventional rectangular patch antenna and the µ-
Negative Metamaterials loaded Patch antenna are
measured. The antenna that was to be operated at 6.35
GHz made to operate at 1.73 GHz. Thus, the antenna size
was reduced by 77%.
Raoul o. Ouedraogo et al [3] proposed
“Miniaturization of patch antennas using a Metamaterial-
inspired technique”. It introduced a new methodology to
miniature the circular microstrip patch antenna. The
complementary split-ring resonator was placed between
the ground plane and the patch horizontally. The
miniaturization of the patch antenna is accompanied with
decrease in the antenna efficiency and bandwidth.
Sridhar E. Mendhe and Yogeswar Prasad Kosta [4]
proposed “Metamaterial Properties and Applications. The
paper discussed the research activities of metamaterial in
various fields and properties of the metamaterial. The
functions of electromagnetic response that can offer
exciting possibilities of future design of components and
devices were reviewed.
Y.Xie, L.Li, C.Zhu and C.Liang [5] proposed “A
novel dual-band patch antenna with complementary split
ring resonators embedded in the ground plane”. It has
presented a novel design for microstrip patch antenna to
operate at dual frequency with complementary split ring
resonators (CSRRs). Three CSRR were etched in the
conventional patch antenna ground plane to yield the dual
frequency. The antenna showed good performance at both
the frequencies with major contribution at first operating
frequency and minor contribution at second operating
frequency. The size of dual band patch antenna is also
reduced.
Mahdy Rahman Chowdhury Mahdy et al [6]
proposed “An Idea of Additional Modified Modes in
Rectangular Patch Antennas Loaded with Metamaterial”.
It has proposed a rectangular patch antenna loaded with a
metamaterial for producing an additional modified
mode(s). They proposed antenna gave better radiation
performance by introducing modified modes for interface
resonance mode. The rectangular patch antenna operates
at dual frequency and the miniaturization of the patch
antenna is also achieved.
Yoonjae Lee and Yang Hao [8] proposed
“Characterization of Microstrip Patch Antennas on
Metamaterial Substrates loaded with complementary
Split-Ring Resonators”. It described the characteristics of
microstrip patch antenna with a metamaterial loaded
substrate. The antenna utilizes CSRR loaded in the
ground plane altering the effective medium parameters of
the substrate. It presented the comparison of impedence
bandwidth of the microstrip antenna on conventional high
permittivity substrate and with CSRR loaded substrate
and also the proposed antenna improved the bandwidth
and the size of the antenna is reduced.
S.Arslangic, T.V.Hansen et al [9] proposed “A review
of the S-parameter extraction method with clarification of
ambiguity issues in relation to metamaterial
homogenization”. It has described the extraction method
for the S-parameter of metamaterial and material
parameter such as permittivity and permeability. The
method is proved through an investigation of an incident
of a uniform plane wave normally in free-space on planar
slab.
III. Proposed Method
The Rectangular Patch Antenna is designed for 3 GHz
with the predetermined formula. Then, a unit cell of
CSRR is designed for 3 GHz and array of CSRR which
acts as metamaterial were introduced in the patch to yield
the desired frequencies.
International Journal of Electrical and Computing Engineering (IJECE)
Vol. 1, Issue. 4, June 2015 ISSN (Online): 2349-8218
7
Fig.3: Flow for steps involved in designing the proposed
antenna
A. Design Steps For Patch Antenna [10]
1. Operating Frequency, fo = 3 GHz
2. The substrate material used is FR4. εr = 4.4
3. Height of the substrate, h = 1.6mm
4. Wavelength, λ= = =100mm
5. Effective dielectric constant:
εeff = + -0.5
, 1< 4.0876 < εr = 4.031
6. Width of the patch:
W= = = 30.429mm
7. Length extension, Δl =0.412h[ [
⁄
⁄
= 0.736 mm
8. Effective length, Leff = = 24.903mm
9. Actual length of patch, L = Leff -2 Δl = 22.83 mm
10. Design of ground plane and substrate:
Lg = 6h+L = 6(1.6) + 22.83 = 45.66 mm
Wg = 6h+W = 6(1.6) + 30.429 = 60.86 mm
11. Coaxial cable:
Inner coax = 0.5 mm
Outer coax = 2 mm
12. Height of the airbox = =
⁄
= 25mm
Fig.4: Dimensions of the Patch Antenna
B. Design of Unit Cell of CSRR [11]
The complementary split ring resonator is modeled as
Shunt LC resonator tank. The orthogonal electric field
excite the CSRR. It is comparable to an electric dipole
which is placed along the axis of the ring. Since a dipole
generates wave propagating along the ring surface plane,
for radiation it relies on the edges of the patch. The
coupling between the patch and CSRR comes from
capacitance coupling through the ring slot and the split of
the outer ring produces magnetic coupling.
a = 5.1 mm; s = w= 0.2 mm;
g =1 mm; N=2
ρ=
[Ls
= 0.021 mm
Lsavg = 4[Ls - (N-1) (w+s)] = 19.2 mm
L =
o Lsavg
* ( ) + = 56.3 nH
C = ɛo [ Ls - N- w s
√
= 0.0512 pF
fo =
International Journal of Electrical and Computing Engineering (IJECE)
Vol. 1, Issue. 4, June 2015 ISSN (Online): 2349-8218
8
Fig.5: (a) Dimensions of the unit cell of a
Metamaterial
(b) Equivalent of the CSRR
The figure 5 shows the dimensions of unit cell of
a Metamaterial for 3GHz. The dimensions includes
length, thickness of the split ring and gap of the split and
the equivalent circuit for the unit cell of CSRR. The
length, thickness of the split ring plays an important role
in the evaluation of inductance and capacitance, which
further determines the frequency.
Fig.6: Dimensions of the Patch Antenna loaded with
Metamaterial
The figure 6 shows the patch antenna loaded
with metamaterial. The unit cell of CSRR are etched on
the patch and forms array of it.
IV. RESULTS AND DISCUSSIONS
The figure 7 shows the 3-D HFSS model of a rectangular
probe fed patch antenna to operate at 3 GHz.
Fig.7: Model of Patch Antenna for 3 GHz
The figure 8 presents the return loss of the patch antenna.
The patch antenna resonates at 3GHz at return loss of -
40.6379 db. The antenna gives the bandwidth of 174
MHz.
Fig.8: Return Loss at 3 GHz
International Journal of Electrical and Computing Engineering (IJECE)
Vol. 1, Issue. 4, June 2015 ISSN (Online): 2349-8218
9
Fig. 9 Smith Chart of a Patch Antenna for 3GHz
The figure 9 shows the Smith Chart for 3 GHz
patch Antenna in which the impedence of the antenna is
.04 5Ω. The smith chart is normalized to 50 Ω, thus it is
matched with the characteristic impedence of 50 Ω.
Fig.10: VSWR for 3 GHz patch Antenna
The figure 10 shows the VSWR for 3 GHz patch
Antenna at 0.2072 which concludes that the reflection
coefficient approximates to zero and atmost the signal is
transmitted at 3 GHz.
Fig.11: Unit Cell of Metamaterial
The figure 11 shows the unit cell of metamaterial
in which it is excited by electric field along z-axis and
magnetic field along x-axis.
Fig.12: S11 Parameter for unit cell of Metamaterial
The figure 12 shows the S11 Parameter for unit
cell of Metamaterial which resonates approximately at 3
GHz.
Fig.13: Model of Patch Antenna loaded with
Metamaterial
The figure 13 shows the 3-D Model of Patch
Antenna with Metamaterial.
Fig.14: Return Loss of a patch antenna with MTM
International Journal of Electrical and Computing Engineering (IJECE)
Vol. 1, Issue. 4, June 2015 ISSN (Online): 2349-8218
10
The figure 14 presents the return loss of the patch
antenna with metamaterial. The split gap of the split ring
resonator is optimized by varying from 0.4 mm to 1 mm.
As the gap increases, the return loss decreases.
Table 1: Return Loss and Bandwidth of patch antenna
loaded with Metamaterial
Resonant
Frequency
(GHz)
Return
Loss (dB)
Bandwidth
(MHz)
2.4
3.3
5.0
-14.4558
-11.8474
-18.6426
54
37
74
The table 1 shows the return loss and Bandwidth of
the multiband of a patch antenna loaded with
Metamaterial.
Fig.15: Smith Chart for Patch Antenna using MTM
The figure 15 shows the Smith Chart for
metamaterial loaded patch antenna in which the
impedence for the 2.4 GHz is .073 Ω, for 3.3 GHz is
.580 Ω and for 5GHz is .78 6 Ω. The smith chart is
normalized to 50 Ω, thus the proposed is matched with the
characteristic impedence of 50 Ω.
V. CONCLUSION
The design suggested for a multiband microstrip
patch antenna for different wireless communication
systems such as Bluetooth, WiMaxand WiFi applications
was made and simulated. The dimensions of ground plane
for the multiband patch antenna were 0.6086 λ x 0.4566λ
and the dimensions of the patch were 0.3043 λ x 0. 83λ.
The antenna operates/ resonates at the frequency of 3
GHz with the return loss of -40dB and bandwidth of 174
MHz ie) 5%. Then, the unit cell of CSRR was designed
for the frequency of 3GHz with the dimensions of 0.051 λ
x 0.051 λ. These unit cells were etched on the patch and
forms an array of 4 x 5 to act as metamaterial. The
Metamaterial implemented using CSRR made the antenna
to resonate at 2.3 GHz, 3.3 GHz, and 5 GHz respectively
with the bandwidth of 3%, 2% and 4% respectively and
provides good matching.
REFERENCES
[1] S.Raghavan andAnoop“Metamaterial Loaded Wideband Patch
Antenna” Jayaram, PIERS Proceedings, Taipei, March 5-28,
2013.
[2] Amir. Bazrkar, Azita. Gudarzi and Masoud. Mahzoon
“Miniaturizationof Rectangular PatchAntennas partially loaded
with µ-Negative Metamaterials, International Conference on
Electronics, Biomedical Engineering and its Applications
(ICEBEA'2012) Jan. 7-8, 2012.
[3] Raoul o. Ouedraogo, Edward j. Rothwell, Alejandro r. Diaz,
Kazuko fuchi, and Andrew temme, “Miniaturization of patch
antennas using a Metamaterial-inspired technique”, IEEE
transactions onantennas and propagation, vol. 60, no. 5, May
2012.
[4] Sridhar E. Mendhe and Yogeswar Prasad Kosta “Metamaterial
Properties and Applications”, International Journal of
InformationTechnology andKnowledge Management, Jan2011,
Volume 4, No. 1, pp. 85-89.
[5] Y.Xie, L.Li, C.Zhu and C.Liang, “A novel dual-band patch
antenna with complementary split ring resonators embedded in
the ground plane”, Progress In Electromagnetics Research
Letters, Vol.25, 117-126, 2011.
[6] Mahdy Rahman Chowdhury Mahdy, Md. Rashedul Alam
Zuboraj, Abdullah Al Noman Ovi, and Md. Abdul Matin, “An
Idea of Additional Modified Modes in Rectangular Patch
Antennas Loaded with Metamaterial”, IEEE antennas and
wireless propagation letters, vol. 10, 2011.
[7] D. Orban andG.J.K. Moernaut, “The Basics of PatchAntennas”,
edition of the RF Globalnet newsletter, September 29, 2009.
[8] Yoonjae Lee and Yang Hao, “Characterization of Microstrip
Patch Antennas on Metamaterial Substrates loaded with
complementarySplit-RingResonators”, Microwave and Optical
Technology Letters, Vol.50, No.5, 2008
[9] S.Arslangic, T.V.Hansen et.al. , “A review of the scattering
parameter extraction method with clarification of ambiguity
issues in relation to metamaterial homogenization”, Microwave
and Optical Technology Letters, Vol.25, No.2, 2007
[10] Balanis, Constantine,“Antenna theory-Analysis and Design”,
John Wiley & Sons Ltd, Reprinted 1997.
[11] MA Matin, “Handbook of Research on Progressive Trends in
Wireless Communications and Networking”, February, 0 4

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  • 1. International Journal of Electrical and Computing Engineering (IJECE) Vol. 1, Issue. 4, June 2015 ISSN (Online): 2349-8218 5 Design of Patch Antenna for Multiband Operation Using Metamaterial 1 G.Divyasri, 2 Dr. N. Gunaskaran, 1 PG Scholar, Rajalakshmi Engineering College, Chennai 2 Dean & Professor, Rajalakshmi Engineering College, Chennai Abstract: The design of microstrip patch antenna has been suggested and simulated to resonate at multiband frequency for wireless communications- Bluetooth (2.4 GHz), WiMax (3.3 GHz) and Wi-Fi (5 GHz) respectively. The proposed antenna has been modeled with FR4 substrate that has a dielectric constant of 4.4 and thickness of 1.6 mm to operate with 3 GHz. A unit of CSRR is designed to operate at 3 GHz. The array of unit cell is implemented on the patch of 4 x 5 array. The dimension of split in the split ring is optimized to yield the better resonance at the desired frequencies. The proposed antenna model is simulated using the High Frequency Structure Simulation (HFSS) software which is based on Finite Element Method. The simulated results shows that the proposed antenna provides better performance in terms of VSWR, return loss and good impedance matching. Keywords- VSWR, Bluetooth, WiMax, WiFi, Radiation Pattern, Input Impedance, Finite Element Method, CSRR, SRR, Metamaterial. I. Introduction An antenna is a transducer which converts electrical signal into electromagnetic waves and radiates into the space and vice versa. The microstrip have many useful features like low weight, low profile, light cost and ease integration with PCBs. Besides its advantages, it has some disadvantages, one of the major is narrow bandwidth. The microstrip antennas have been used in many applications- Satellite Communications, Remote Sensing, Biomedical etc.,. The new generations of cellular telephones integrate several communication systems at once such as DCS, GSM, UMTS, Wi-Fi standards, WiMax etc., which makes the need of a microstrip patch antennas to operate multiple frequencies. The metamaterials (MTMs) are defined as artificial effective homogeneous EM structures with unusual properties that are not available in nature. An effective homogeneous structure is a structure that should have a structural average size of the cell (p) to be much smaller than the wavelength of the guide λg. ie. λg > p (1) Metamaterials are the artificial structures designed to exhibit peculiar electromagnetic properties not commonly found in nature. Metamaterials with negative permeability (µ) and permittivity (ɛ), are called as left- handed materials. Fig. 1: Metamaterial with Array of SRRs The single band patch antenna can be modified into multiband antenna. In the proposed system,first the single unit cell of CSRR is designed. Then, array of unit cells were etched on the patch, which acts as metamaterial to yield multiple frequency. A. Working of Patch Antenna: Fig. 2: Probe Feed Patch Antenna The figure 2 gives a patch antenna composed of a substrate with one side patch and another side a ground plane. The center conductor of a coaxacts as a feed probe used to couple EM energy in and out of the patch [7]. At the patch centre, the E-field will be zero, high (+ve) on the one side and low (-ve) at another side, and. Since it is Patch Ground εr Fringing Field Electric Field Probe Feed
  • 2. International Journal of Electrical and Computing Engineering (IJECE) Vol. 1, Issue. 4, June 2015 ISSN (Online): 2349-8218 6 a cavity, the E-field does not stop at the edge of the patch; rather, it extend the outer edge. These extensions of the field are called as fringing fields and these makes the patch to radiate. II. LITERATURE SURVEY S.Raghavan and Anoop Jayaram [1] proposed “Metamaterial Loaded Wideband Patch Antenna”. It discussed a new design technique to a wide band microstrip patch antenna. The wideband was achieved by implementing complementary square split ring resonators with the inset feed. Artificial Neural Network was used to optimize the dimensions of the complementary SSRR. The Split ring resonator is etched at the two corners of the patch where feed is given to antenna. The bandwidth of the antenna was improved and provided good efficiency but by compromising the gain. Amir. Bazrkar et al [2] proposed, “Miniaturization of Rectangular Patch Antennas partially loaded with µ- Negative Metamaterials”. It describes a partially loaded rectangular patch antenna by a metamaterial which operate as µ–negative metamaterials (MNG). The parameters like radiation pattern and return loss of the conventional rectangular patch antenna and the µ- Negative Metamaterials loaded Patch antenna are measured. The antenna that was to be operated at 6.35 GHz made to operate at 1.73 GHz. Thus, the antenna size was reduced by 77%. Raoul o. Ouedraogo et al [3] proposed “Miniaturization of patch antennas using a Metamaterial- inspired technique”. It introduced a new methodology to miniature the circular microstrip patch antenna. The complementary split-ring resonator was placed between the ground plane and the patch horizontally. The miniaturization of the patch antenna is accompanied with decrease in the antenna efficiency and bandwidth. Sridhar E. Mendhe and Yogeswar Prasad Kosta [4] proposed “Metamaterial Properties and Applications. The paper discussed the research activities of metamaterial in various fields and properties of the metamaterial. The functions of electromagnetic response that can offer exciting possibilities of future design of components and devices were reviewed. Y.Xie, L.Li, C.Zhu and C.Liang [5] proposed “A novel dual-band patch antenna with complementary split ring resonators embedded in the ground plane”. It has presented a novel design for microstrip patch antenna to operate at dual frequency with complementary split ring resonators (CSRRs). Three CSRR were etched in the conventional patch antenna ground plane to yield the dual frequency. The antenna showed good performance at both the frequencies with major contribution at first operating frequency and minor contribution at second operating frequency. The size of dual band patch antenna is also reduced. Mahdy Rahman Chowdhury Mahdy et al [6] proposed “An Idea of Additional Modified Modes in Rectangular Patch Antennas Loaded with Metamaterial”. It has proposed a rectangular patch antenna loaded with a metamaterial for producing an additional modified mode(s). They proposed antenna gave better radiation performance by introducing modified modes for interface resonance mode. The rectangular patch antenna operates at dual frequency and the miniaturization of the patch antenna is also achieved. Yoonjae Lee and Yang Hao [8] proposed “Characterization of Microstrip Patch Antennas on Metamaterial Substrates loaded with complementary Split-Ring Resonators”. It described the characteristics of microstrip patch antenna with a metamaterial loaded substrate. The antenna utilizes CSRR loaded in the ground plane altering the effective medium parameters of the substrate. It presented the comparison of impedence bandwidth of the microstrip antenna on conventional high permittivity substrate and with CSRR loaded substrate and also the proposed antenna improved the bandwidth and the size of the antenna is reduced. S.Arslangic, T.V.Hansen et al [9] proposed “A review of the S-parameter extraction method with clarification of ambiguity issues in relation to metamaterial homogenization”. It has described the extraction method for the S-parameter of metamaterial and material parameter such as permittivity and permeability. The method is proved through an investigation of an incident of a uniform plane wave normally in free-space on planar slab. III. Proposed Method The Rectangular Patch Antenna is designed for 3 GHz with the predetermined formula. Then, a unit cell of CSRR is designed for 3 GHz and array of CSRR which acts as metamaterial were introduced in the patch to yield the desired frequencies.
  • 3. International Journal of Electrical and Computing Engineering (IJECE) Vol. 1, Issue. 4, June 2015 ISSN (Online): 2349-8218 7 Fig.3: Flow for steps involved in designing the proposed antenna A. Design Steps For Patch Antenna [10] 1. Operating Frequency, fo = 3 GHz 2. The substrate material used is FR4. εr = 4.4 3. Height of the substrate, h = 1.6mm 4. Wavelength, λ= = =100mm 5. Effective dielectric constant: εeff = + -0.5 , 1< 4.0876 < εr = 4.031 6. Width of the patch: W= = = 30.429mm 7. Length extension, Δl =0.412h[ [ ⁄ ⁄ = 0.736 mm 8. Effective length, Leff = = 24.903mm 9. Actual length of patch, L = Leff -2 Δl = 22.83 mm 10. Design of ground plane and substrate: Lg = 6h+L = 6(1.6) + 22.83 = 45.66 mm Wg = 6h+W = 6(1.6) + 30.429 = 60.86 mm 11. Coaxial cable: Inner coax = 0.5 mm Outer coax = 2 mm 12. Height of the airbox = = ⁄ = 25mm Fig.4: Dimensions of the Patch Antenna B. Design of Unit Cell of CSRR [11] The complementary split ring resonator is modeled as Shunt LC resonator tank. The orthogonal electric field excite the CSRR. It is comparable to an electric dipole which is placed along the axis of the ring. Since a dipole generates wave propagating along the ring surface plane, for radiation it relies on the edges of the patch. The coupling between the patch and CSRR comes from capacitance coupling through the ring slot and the split of the outer ring produces magnetic coupling. a = 5.1 mm; s = w= 0.2 mm; g =1 mm; N=2 ρ= [Ls = 0.021 mm Lsavg = 4[Ls - (N-1) (w+s)] = 19.2 mm L = o Lsavg * ( ) + = 56.3 nH C = ɛo [ Ls - N- w s √ = 0.0512 pF fo =
  • 4. International Journal of Electrical and Computing Engineering (IJECE) Vol. 1, Issue. 4, June 2015 ISSN (Online): 2349-8218 8 Fig.5: (a) Dimensions of the unit cell of a Metamaterial (b) Equivalent of the CSRR The figure 5 shows the dimensions of unit cell of a Metamaterial for 3GHz. The dimensions includes length, thickness of the split ring and gap of the split and the equivalent circuit for the unit cell of CSRR. The length, thickness of the split ring plays an important role in the evaluation of inductance and capacitance, which further determines the frequency. Fig.6: Dimensions of the Patch Antenna loaded with Metamaterial The figure 6 shows the patch antenna loaded with metamaterial. The unit cell of CSRR are etched on the patch and forms array of it. IV. RESULTS AND DISCUSSIONS The figure 7 shows the 3-D HFSS model of a rectangular probe fed patch antenna to operate at 3 GHz. Fig.7: Model of Patch Antenna for 3 GHz The figure 8 presents the return loss of the patch antenna. The patch antenna resonates at 3GHz at return loss of - 40.6379 db. The antenna gives the bandwidth of 174 MHz. Fig.8: Return Loss at 3 GHz
  • 5. International Journal of Electrical and Computing Engineering (IJECE) Vol. 1, Issue. 4, June 2015 ISSN (Online): 2349-8218 9 Fig. 9 Smith Chart of a Patch Antenna for 3GHz The figure 9 shows the Smith Chart for 3 GHz patch Antenna in which the impedence of the antenna is .04 5Ω. The smith chart is normalized to 50 Ω, thus it is matched with the characteristic impedence of 50 Ω. Fig.10: VSWR for 3 GHz patch Antenna The figure 10 shows the VSWR for 3 GHz patch Antenna at 0.2072 which concludes that the reflection coefficient approximates to zero and atmost the signal is transmitted at 3 GHz. Fig.11: Unit Cell of Metamaterial The figure 11 shows the unit cell of metamaterial in which it is excited by electric field along z-axis and magnetic field along x-axis. Fig.12: S11 Parameter for unit cell of Metamaterial The figure 12 shows the S11 Parameter for unit cell of Metamaterial which resonates approximately at 3 GHz. Fig.13: Model of Patch Antenna loaded with Metamaterial The figure 13 shows the 3-D Model of Patch Antenna with Metamaterial. Fig.14: Return Loss of a patch antenna with MTM
  • 6. International Journal of Electrical and Computing Engineering (IJECE) Vol. 1, Issue. 4, June 2015 ISSN (Online): 2349-8218 10 The figure 14 presents the return loss of the patch antenna with metamaterial. The split gap of the split ring resonator is optimized by varying from 0.4 mm to 1 mm. As the gap increases, the return loss decreases. Table 1: Return Loss and Bandwidth of patch antenna loaded with Metamaterial Resonant Frequency (GHz) Return Loss (dB) Bandwidth (MHz) 2.4 3.3 5.0 -14.4558 -11.8474 -18.6426 54 37 74 The table 1 shows the return loss and Bandwidth of the multiband of a patch antenna loaded with Metamaterial. Fig.15: Smith Chart for Patch Antenna using MTM The figure 15 shows the Smith Chart for metamaterial loaded patch antenna in which the impedence for the 2.4 GHz is .073 Ω, for 3.3 GHz is .580 Ω and for 5GHz is .78 6 Ω. The smith chart is normalized to 50 Ω, thus the proposed is matched with the characteristic impedence of 50 Ω. V. CONCLUSION The design suggested for a multiband microstrip patch antenna for different wireless communication systems such as Bluetooth, WiMaxand WiFi applications was made and simulated. The dimensions of ground plane for the multiband patch antenna were 0.6086 λ x 0.4566λ and the dimensions of the patch were 0.3043 λ x 0. 83λ. The antenna operates/ resonates at the frequency of 3 GHz with the return loss of -40dB and bandwidth of 174 MHz ie) 5%. Then, the unit cell of CSRR was designed for the frequency of 3GHz with the dimensions of 0.051 λ x 0.051 λ. These unit cells were etched on the patch and forms an array of 4 x 5 to act as metamaterial. The Metamaterial implemented using CSRR made the antenna to resonate at 2.3 GHz, 3.3 GHz, and 5 GHz respectively with the bandwidth of 3%, 2% and 4% respectively and provides good matching. REFERENCES [1] S.Raghavan andAnoop“Metamaterial Loaded Wideband Patch Antenna” Jayaram, PIERS Proceedings, Taipei, March 5-28, 2013. [2] Amir. Bazrkar, Azita. Gudarzi and Masoud. Mahzoon “Miniaturizationof Rectangular PatchAntennas partially loaded with µ-Negative Metamaterials, International Conference on Electronics, Biomedical Engineering and its Applications (ICEBEA'2012) Jan. 7-8, 2012. [3] Raoul o. Ouedraogo, Edward j. Rothwell, Alejandro r. Diaz, Kazuko fuchi, and Andrew temme, “Miniaturization of patch antennas using a Metamaterial-inspired technique”, IEEE transactions onantennas and propagation, vol. 60, no. 5, May 2012. [4] Sridhar E. Mendhe and Yogeswar Prasad Kosta “Metamaterial Properties and Applications”, International Journal of InformationTechnology andKnowledge Management, Jan2011, Volume 4, No. 1, pp. 85-89. [5] Y.Xie, L.Li, C.Zhu and C.Liang, “A novel dual-band patch antenna with complementary split ring resonators embedded in the ground plane”, Progress In Electromagnetics Research Letters, Vol.25, 117-126, 2011. [6] Mahdy Rahman Chowdhury Mahdy, Md. Rashedul Alam Zuboraj, Abdullah Al Noman Ovi, and Md. Abdul Matin, “An Idea of Additional Modified Modes in Rectangular Patch Antennas Loaded with Metamaterial”, IEEE antennas and wireless propagation letters, vol. 10, 2011. [7] D. Orban andG.J.K. Moernaut, “The Basics of PatchAntennas”, edition of the RF Globalnet newsletter, September 29, 2009. [8] Yoonjae Lee and Yang Hao, “Characterization of Microstrip Patch Antennas on Metamaterial Substrates loaded with complementarySplit-RingResonators”, Microwave and Optical Technology Letters, Vol.50, No.5, 2008 [9] S.Arslangic, T.V.Hansen et.al. , “A review of the scattering parameter extraction method with clarification of ambiguity issues in relation to metamaterial homogenization”, Microwave and Optical Technology Letters, Vol.25, No.2, 2007 [10] Balanis, Constantine,“Antenna theory-Analysis and Design”, John Wiley & Sons Ltd, Reprinted 1997. [11] MA Matin, “Handbook of Research on Progressive Trends in Wireless Communications and Networking”, February, 0 4