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Innovative Systems Design and Engineering                                                                www.iiste.org
ISSN 2222-1727 (Paper) ISSN 2222-2871 (Online)
Vol 3, No 8, 2012

           PERFORMANCE ANALYSIS OF A RECTANGULAR
            MICROSTRIP PATCH ANTENNA ON DIFFERENT
                   DIELECTRIC SUBSTRATES
                                           K.V. Rop1, D.B.O. Konditi2
                          1
                          Department of Telecommunication and Information Engineering
                     Jomo Kenyatta University of Agriculture and Technology, Nairobi, Kenya.
                         2
                           Faculty of Engineering, Multimedia University, Nairobi Kenya.
                                  1
                                    vikrop@gmail.com, 2onyango_d@yahoo.co.uk
Abstract
The sizes and weights of various wireless electronic systems (e.g. mobile handsets) have rapidly reduced due to the
development of modern integrated circuit technology. A Microstrip antenna (MSA) is well suited for wireless
communication due to its light weight, low volume and low profile planar configuration which can be easily
conformed to the host surface. However, MSAs suffers from low bandwidth. MSA bandwidth is greatly affected by
the dielectric substrate material used in its design. Larger bandwidth can be achieved by using a thicker substrate
with a lower dielectric constant value. In this paper, the effect of various dielectric constants on rectangular
microstrip patch antenna performance is investigated. By keeping the substrate thickness constant over various
dielectric constants, simulations were carried out using MATLAB® and Antenna Magus software. The results show
that the dielectric constant effectively determines the performance of MSAs.
Keywords: Microstrip Antennas (MSAs), Dielectric Constant


1.0. INTRODUCTION
With the wide spread proliferation of wireless communication technology in recent years, the demand for compact,
low profile and broadband antennas has increased significantly. To meet the requirement, microstrip patch antennas
(MPAs) have been proposed. MPAs are widely used in wireless communication applications because of their low
profile, lightweight, low cost and compatibility with integrated circuits (Guney and Sirikaya, 2004). However, the
conventional MPA has a disadvantage of a narrow bandwidth. There are numerous and well-known methods of
increasing bandwidth of this type of antennas, and amongst the most common ways are increasing the thickness of
the substrates and using a low dielectric constant substrate material (Dheyab and Hamad, 2011). However, the
bandwidth and the size of an antenna are generally mutually conflicting properties, that is, improvement of one of the
characteristics normally results in degradation of the other. A thick dielectric substrate having a low dielectric
constant is more desirable as it provides better efficiency, larger bandwidth, and better radiation (Indrasen Singh et al,
2011).

There are numerous substrates that can be used for the design of MPAs and their dielectric constants are usually in
the range of 2.2 ≤ εr ≤ 12 (Guney and Sirikaya, 2004; Indrasen Singh et al, 2011). MPAs radiate primarily because of
the fringing fields between the patch edge and the ground plane. The radiation increases with frequency increase and
using thicker substrates with lower permittivity, and originates mostly at discontinuities. The dielectric constant is
the ratio between the stored amount of electrical energy in a material and to that stored by a vacuum. It is also a
measure of the degree to which an electromagnetic wave is slowed down as it travels through the insulating material
(Mutiara et al, 2011). Dielectrics are used in capacitors to store more electrical charge than vacuum. The lower the
dielectric constant is, the better the material works as an insulator, and the better an insulator, the better it resists
electrons from being absorbed in the dielectric material, creating less loss (Mutiara et al, 2011; Balanis, 1997). Radio
frequency (RF) applications are characterized by the need for low dielectric losses, low leakage, and low and
uniform dielectric constant accompanied by a low layer count. Choosing a material based on its dielectric constant
characteristics and losses usually dominates over other considerations (Dheyab and Hamad, 2011; Mutiara et al,
2011). This paper analyses the effect of various dielectric constants in the design of rectangular MPA. A coaxial fed
rectangular MPA was designed to operate at a resonant frequency of 2GHz. Simulations were carried out using
MATLAB® and Antenna Magus softwares and various antenna characteristics analyzed.


                                                           7
Innovative Systems Design and Engineering                                                                     www.iiste.org
ISSN 2222-1727 (Paper) ISSN 2222-2871 (Online)
Vol 3, No 8, 2012


2.0. RECTANGULAR MICROSTRIP PATCH ANTENNA DESIGN
In its most basic form, a microstrip patch antenna consists of a radiating patch on one side of a dielectric substrate
and a ground plane on the other side as shown in Figure 1. The bottom surface of a thin dielectric substrate is
completely covered with metallization that serves as a ground plane.




                   Figure 1: Structure of a Rectangular Microstrip Patch Antenna

The rectangular MSA is made of a rectangular patch with dimensions width (W) and length (L) over a ground plane

with a substrate thickness (h) and dielectric constant (  ) as shown in Figure 1. There are numerous substrates that
can be used for the design of MSAs, and their dielectric constants are usually in the range of 2.2 < εr < 12.
The steps followed in the design of rectangular MSAs as discussed in (K. Guney and N. Sirikaya, 2004;
Balanis, 1997; Saeed and Sabira, 2005; Dafalla, 2004) are as follows;

The Patch Width (W) for efficient radiation is given as;



                                                                                                                      (1)

where, W is the patch width, vo is the speed of light, fr is the resonant frequency, and         is the dielectric constant of
the substrate


The Effective Dielectric Constant (            ) - Due to the fringing and the wave propagation in the field line, an
effective dielectric constant (εreff) must be obtained.




                                                                                                                      (2)
where, εreff is the effective dielectric constant, h is the height of the dielectric substrate


The Effective Length (         ) for a given resonance frequency fr is given as;




                                                               8
Innovative Systems Design and Engineering                                                             www.iiste.org
ISSN 2222-1727 (Paper) ISSN 2222-2871 (Online)
Vol 3, No 8, 2012




                                                                                                          (3)


The Length Extension (          ) is given as;




                                                                                                         (4)

The Patch Length (L). The actual patch length now becomes;

                         Leff - 2                                                                        (5)
The Bandwidth (BW)



                                                                                                         (6)

where,      is the wavelength in free space.

The Feed Co-ordinates. Using coaxial probe-fed technique, the feed points are calculated as;
                  Yf = W/2                                                                                (7)



                                                                                                          (8)
where, yf and xf are the feed co-ordinates along the patch width and length respectively

The Plane Ground Dimensions:- It has been shown that MSAs produces good results if the size of the ground plane
is greater than the patch dimensions by approximately six times the substrate thickness all around the periphery
(Balanis, 1997; Dafalla, 2004).
                  Lg = 6h + L                                                                             (9)
                  Wg = 6h + W                                                                             (10)
where, Lg and Wg are the plane ground dimensions along the patch length and width respectively.

3.0. SIMULATION RESULTS AND DISCUSSION
By using MATLAB®, simulation was carried out to generate the values of various rectangular MSA parameters
namely patch width, patch length, and feed points. Also, simulation was carried out using Antenna Magus software
and the results tabulated and plotted.
As illustrated in (Ahamed Maruf et.al., 2012; Sandu et.al., 2003) the substrate thickness is inversely proportional to
dielectric constant with reference to bandwidth. Figure 2 to 5 plots various MPA parameters (Patch Width, Patch
Length, and Feed Point) with relation to resonant frequency.




                                                          9
Innovative Systems Design and Engineering                            www.iiste.org
ISSN 2222-1727 (Paper) ISSN 2222-2871 (Online)
Vol 3, No 8, 2012




                      Figure 2: Patch Width vs Resonant Frequency




                      Figure 3: Patch Length vs Resonant Frequency




                                                  10
Innovative Systems Design and Engineering                                                             www.iiste.org
ISSN 2222-1727 (Paper) ISSN 2222-2871 (Online)
Vol 3, No 8, 2012




                           Figure 4: Feed Point along Patch Width vs Resonant Frequency




                          Figure 4: Feed Point along Patch Length vs Resonant Frequency

From Figure 2, it can be clearly seen that the various dielectric substrates produces different parametric values of a
patch antenna resulting in varying antenna performance.
Maintain a constant resonant frequency of 2 GHz, simulation was carried out using Antenna Magus software. Table
1 shows the simulated antenna parameters for the three substrate materials namely; Duroid 5880, FR4, and Alumina.




                                                         11
Innovative Systems Design and Engineering                                                             www.iiste.org
ISSN 2222-1727 (Paper) ISSN 2222-2871 (Online)
Vol 3, No 8, 2012

                           Table 1: Rectangular MPA Design Parameters

                                                                 Dielectric Substrates
                Antenna Parameters
                                                   Duroid 5880           FR4           Alumina
       Resonant Frequency (GHz)                         2                  2              2
       Height (h) (mm)                                 1.57               1.6               1.5
       Dielectric Constant (ɛr)                         2.2               4.0               9.8
       Patch Width (W) (mm)                            59.25            47.40              32.25
       Patch Length (L) (mm)                           49.27            36.73              23.55
       Feed Point along Width (Yf) (mm)                29.63             23.7              16.13

       Feed Point along Length (Xf) (mm)               17.03            13.18              9.31

       Ground Plane along Width (mm)                  118.50            94.81              64.51
       Ground Plane along Length (mm)                  98.53            73.47              47.10




                  Figure 6: Reflection Coefficient S11 for Various Dielectric Substrates

In the process of designing an MPA to perform efficiently there is always a reflection of the power which leads to the
standing waves, which is characterized by the Voltage Standing Wave Ratio (VSWR). As the reflection coefficient
ranges from -∞ to 1, the VSWR ranges from 1 to ∞. For the practical applications VSWR = 2 is acceptable as the
return loss would be -9.54dB [10].




                                                         12
Innovative Systems Design and Engineering                                                           www.iiste.org
ISSN 2222-1727 (Paper) ISSN 2222-2871 (Online)
Vol 3, No 8, 2012




                                Figure 7: VSWR for Various Dielectric Substrates




                           Figure 8: MPA Gain for Various Dielectric Substrates
Figure 8 shows the relationship between the antenna gain and the resonant frequency on three dielectric substrate
materials with different dielectric constants and substrate heights. From Figure 8 and Table 2, it can be seen that
rectangular MPA designed using Duroid 5880 substrate material produces the highest gain and bandwidth of all the
three substrates.




                                                        13
Innovative Systems Design and Engineering                                                             www.iiste.org
ISSN 2222-1727 (Paper) ISSN 2222-2871 (Online)
Vol 3, No 8, 2012


                                Table 2: Comparison of Rectangular MPA Simulated
                                      Results on different Dielectric Constants
                                            Peak         Minimum        Reflection  Bandwidth
Dielectric     Dielectric      Gain
                                         Impedance         VSWR         Coefficient where S11 =
Substrates     Constants       (dBi)
                                             (Ω)           Value           (dB)       -10dB
Duroid
                   2.2       7.50661       49.9053        1.08447       -27.8457       21.52 MHz
5880
FR4                4.0       6.15198       48.7713        1.11310       -25.4292       17.33 MHz

Alumina            9.8       5.14271       45.1252        1.18228       -21.5635       8.73 MHz


4.0. CONCLUSION

From the simulations, it was clearly shown in Table 2 that the higher the value of the dielectric constant, the lower
the gain and bandwith. A Maximum of 7.5 dB gain was obtained using Duroid 5880 substrate material which a
dielectric constant of 2.2, while a gain of 5.1 dB gain was obtained using Alumina substrate material. The results
prove that using a substrate material with a lower dielectric constant in design of MPA leads to better antenna
performance. From this paper, it can be clearly seen that substrate material and specifically the dielectric constant
effectively determines the performance of a rectangular microstrip patch antenna.



REFERENCES
Ahamed Maruf et.al.(2012). Rectangular Microstrip Patch Antenna at 2GHz on Different Dielectric Constant for
Pervasive Wireless Communication. International Journal of Electrical and Computer Engineering, Vol. 2, No. 3,
pp. 31-39.
Ali Dheyab and Karim Hamad (2011). Improving Bandwidth of Rectangular Patch Antenna using Different
Thickness of Dielectric Substrate. ARPN Journal of Engineering and Applied Sciences, Vol. 6, No. 4, pp. 16-21.
Balanis, Contantine A. (1997). Antenna Theory – Analysis and Design. John Wiley & Sons Inc., 2nd Edition, pp. 722-
751.
Dafalla (2004). Design of a Rectangular Microstrip Patch Antenna at 1GHz. RF and Microwave Conference, Subang,
Selangor, Malaysia, pp. 145-149.
D. D. Sandu et.al.(2003). Microstrip Patch Antenna with Dielectric Substrate. Journal of Optoelectronics and
Advance Materials, Vol. 5, No. 5, pp. 1381-1387.
Indrasen Singh et al (2011). Microstrip Patch Antenna and its Applications: a Survey. Int. J. Comp. Tech. Appl., Vol.
2, pp. 1595-1599.
K. Guney and N. Sirikaya, (2004). Adaptive Neuro-Fuzzy Infrerence System for Computing of the Resonant
Frequency of Circular Microstrip Antennas. Aces Journal, Vol. 19, No. 3, pp. 188-197.
Mutiara et al, (2011). Design of Microstrip Antenna for Wireless Communication at 2.4 GHz. Journal of Theoretical
and Applied Information Technology, Vol. 33, No. 2, pp. 184-192.
Saeed, A. Rashid and K. Sabira (2005). Design of Microstrip Antenna for WLAN. Journal of Applied Sciences 5,
Asian Network for Scientific Information, pp. 47-51.
T. Durga Prasad et.al.(2011). Comparisons of Circular and Rectangular Microstrip Patch Antennas. International
Journal of Communication Engineering Applications, Vol. 2, No. 4, pp. 187-197.




                                                         14
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Performance analysis of a rectangular microstrip patch antenna on different dielectric substrates (2)

  • 1. Innovative Systems Design and Engineering www.iiste.org ISSN 2222-1727 (Paper) ISSN 2222-2871 (Online) Vol 3, No 8, 2012 PERFORMANCE ANALYSIS OF A RECTANGULAR MICROSTRIP PATCH ANTENNA ON DIFFERENT DIELECTRIC SUBSTRATES K.V. Rop1, D.B.O. Konditi2 1 Department of Telecommunication and Information Engineering Jomo Kenyatta University of Agriculture and Technology, Nairobi, Kenya. 2 Faculty of Engineering, Multimedia University, Nairobi Kenya. 1 vikrop@gmail.com, 2onyango_d@yahoo.co.uk Abstract The sizes and weights of various wireless electronic systems (e.g. mobile handsets) have rapidly reduced due to the development of modern integrated circuit technology. A Microstrip antenna (MSA) is well suited for wireless communication due to its light weight, low volume and low profile planar configuration which can be easily conformed to the host surface. However, MSAs suffers from low bandwidth. MSA bandwidth is greatly affected by the dielectric substrate material used in its design. Larger bandwidth can be achieved by using a thicker substrate with a lower dielectric constant value. In this paper, the effect of various dielectric constants on rectangular microstrip patch antenna performance is investigated. By keeping the substrate thickness constant over various dielectric constants, simulations were carried out using MATLAB® and Antenna Magus software. The results show that the dielectric constant effectively determines the performance of MSAs. Keywords: Microstrip Antennas (MSAs), Dielectric Constant 1.0. INTRODUCTION With the wide spread proliferation of wireless communication technology in recent years, the demand for compact, low profile and broadband antennas has increased significantly. To meet the requirement, microstrip patch antennas (MPAs) have been proposed. MPAs are widely used in wireless communication applications because of their low profile, lightweight, low cost and compatibility with integrated circuits (Guney and Sirikaya, 2004). However, the conventional MPA has a disadvantage of a narrow bandwidth. There are numerous and well-known methods of increasing bandwidth of this type of antennas, and amongst the most common ways are increasing the thickness of the substrates and using a low dielectric constant substrate material (Dheyab and Hamad, 2011). However, the bandwidth and the size of an antenna are generally mutually conflicting properties, that is, improvement of one of the characteristics normally results in degradation of the other. A thick dielectric substrate having a low dielectric constant is more desirable as it provides better efficiency, larger bandwidth, and better radiation (Indrasen Singh et al, 2011). There are numerous substrates that can be used for the design of MPAs and their dielectric constants are usually in the range of 2.2 ≤ εr ≤ 12 (Guney and Sirikaya, 2004; Indrasen Singh et al, 2011). MPAs radiate primarily because of the fringing fields between the patch edge and the ground plane. The radiation increases with frequency increase and using thicker substrates with lower permittivity, and originates mostly at discontinuities. The dielectric constant is the ratio between the stored amount of electrical energy in a material and to that stored by a vacuum. It is also a measure of the degree to which an electromagnetic wave is slowed down as it travels through the insulating material (Mutiara et al, 2011). Dielectrics are used in capacitors to store more electrical charge than vacuum. The lower the dielectric constant is, the better the material works as an insulator, and the better an insulator, the better it resists electrons from being absorbed in the dielectric material, creating less loss (Mutiara et al, 2011; Balanis, 1997). Radio frequency (RF) applications are characterized by the need for low dielectric losses, low leakage, and low and uniform dielectric constant accompanied by a low layer count. Choosing a material based on its dielectric constant characteristics and losses usually dominates over other considerations (Dheyab and Hamad, 2011; Mutiara et al, 2011). This paper analyses the effect of various dielectric constants in the design of rectangular MPA. A coaxial fed rectangular MPA was designed to operate at a resonant frequency of 2GHz. Simulations were carried out using MATLAB® and Antenna Magus softwares and various antenna characteristics analyzed. 7
  • 2. Innovative Systems Design and Engineering www.iiste.org ISSN 2222-1727 (Paper) ISSN 2222-2871 (Online) Vol 3, No 8, 2012 2.0. RECTANGULAR MICROSTRIP PATCH ANTENNA DESIGN In its most basic form, a microstrip patch antenna consists of a radiating patch on one side of a dielectric substrate and a ground plane on the other side as shown in Figure 1. The bottom surface of a thin dielectric substrate is completely covered with metallization that serves as a ground plane. Figure 1: Structure of a Rectangular Microstrip Patch Antenna The rectangular MSA is made of a rectangular patch with dimensions width (W) and length (L) over a ground plane with a substrate thickness (h) and dielectric constant ( ) as shown in Figure 1. There are numerous substrates that can be used for the design of MSAs, and their dielectric constants are usually in the range of 2.2 < εr < 12. The steps followed in the design of rectangular MSAs as discussed in (K. Guney and N. Sirikaya, 2004; Balanis, 1997; Saeed and Sabira, 2005; Dafalla, 2004) are as follows; The Patch Width (W) for efficient radiation is given as; (1) where, W is the patch width, vo is the speed of light, fr is the resonant frequency, and is the dielectric constant of the substrate The Effective Dielectric Constant ( ) - Due to the fringing and the wave propagation in the field line, an effective dielectric constant (εreff) must be obtained. (2) where, εreff is the effective dielectric constant, h is the height of the dielectric substrate The Effective Length ( ) for a given resonance frequency fr is given as; 8
  • 3. Innovative Systems Design and Engineering www.iiste.org ISSN 2222-1727 (Paper) ISSN 2222-2871 (Online) Vol 3, No 8, 2012 (3) The Length Extension ( ) is given as; (4) The Patch Length (L). The actual patch length now becomes; Leff - 2 (5) The Bandwidth (BW) (6) where, is the wavelength in free space. The Feed Co-ordinates. Using coaxial probe-fed technique, the feed points are calculated as; Yf = W/2 (7) (8) where, yf and xf are the feed co-ordinates along the patch width and length respectively The Plane Ground Dimensions:- It has been shown that MSAs produces good results if the size of the ground plane is greater than the patch dimensions by approximately six times the substrate thickness all around the periphery (Balanis, 1997; Dafalla, 2004). Lg = 6h + L (9) Wg = 6h + W (10) where, Lg and Wg are the plane ground dimensions along the patch length and width respectively. 3.0. SIMULATION RESULTS AND DISCUSSION By using MATLAB®, simulation was carried out to generate the values of various rectangular MSA parameters namely patch width, patch length, and feed points. Also, simulation was carried out using Antenna Magus software and the results tabulated and plotted. As illustrated in (Ahamed Maruf et.al., 2012; Sandu et.al., 2003) the substrate thickness is inversely proportional to dielectric constant with reference to bandwidth. Figure 2 to 5 plots various MPA parameters (Patch Width, Patch Length, and Feed Point) with relation to resonant frequency. 9
  • 4. Innovative Systems Design and Engineering www.iiste.org ISSN 2222-1727 (Paper) ISSN 2222-2871 (Online) Vol 3, No 8, 2012 Figure 2: Patch Width vs Resonant Frequency Figure 3: Patch Length vs Resonant Frequency 10
  • 5. Innovative Systems Design and Engineering www.iiste.org ISSN 2222-1727 (Paper) ISSN 2222-2871 (Online) Vol 3, No 8, 2012 Figure 4: Feed Point along Patch Width vs Resonant Frequency Figure 4: Feed Point along Patch Length vs Resonant Frequency From Figure 2, it can be clearly seen that the various dielectric substrates produces different parametric values of a patch antenna resulting in varying antenna performance. Maintain a constant resonant frequency of 2 GHz, simulation was carried out using Antenna Magus software. Table 1 shows the simulated antenna parameters for the three substrate materials namely; Duroid 5880, FR4, and Alumina. 11
  • 6. Innovative Systems Design and Engineering www.iiste.org ISSN 2222-1727 (Paper) ISSN 2222-2871 (Online) Vol 3, No 8, 2012 Table 1: Rectangular MPA Design Parameters Dielectric Substrates Antenna Parameters Duroid 5880 FR4 Alumina Resonant Frequency (GHz) 2 2 2 Height (h) (mm) 1.57 1.6 1.5 Dielectric Constant (ɛr) 2.2 4.0 9.8 Patch Width (W) (mm) 59.25 47.40 32.25 Patch Length (L) (mm) 49.27 36.73 23.55 Feed Point along Width (Yf) (mm) 29.63 23.7 16.13 Feed Point along Length (Xf) (mm) 17.03 13.18 9.31 Ground Plane along Width (mm) 118.50 94.81 64.51 Ground Plane along Length (mm) 98.53 73.47 47.10 Figure 6: Reflection Coefficient S11 for Various Dielectric Substrates In the process of designing an MPA to perform efficiently there is always a reflection of the power which leads to the standing waves, which is characterized by the Voltage Standing Wave Ratio (VSWR). As the reflection coefficient ranges from -∞ to 1, the VSWR ranges from 1 to ∞. For the practical applications VSWR = 2 is acceptable as the return loss would be -9.54dB [10]. 12
  • 7. Innovative Systems Design and Engineering www.iiste.org ISSN 2222-1727 (Paper) ISSN 2222-2871 (Online) Vol 3, No 8, 2012 Figure 7: VSWR for Various Dielectric Substrates Figure 8: MPA Gain for Various Dielectric Substrates Figure 8 shows the relationship between the antenna gain and the resonant frequency on three dielectric substrate materials with different dielectric constants and substrate heights. From Figure 8 and Table 2, it can be seen that rectangular MPA designed using Duroid 5880 substrate material produces the highest gain and bandwidth of all the three substrates. 13
  • 8. Innovative Systems Design and Engineering www.iiste.org ISSN 2222-1727 (Paper) ISSN 2222-2871 (Online) Vol 3, No 8, 2012 Table 2: Comparison of Rectangular MPA Simulated Results on different Dielectric Constants Peak Minimum Reflection Bandwidth Dielectric Dielectric Gain Impedance VSWR Coefficient where S11 = Substrates Constants (dBi) (Ω) Value (dB) -10dB Duroid 2.2 7.50661 49.9053 1.08447 -27.8457 21.52 MHz 5880 FR4 4.0 6.15198 48.7713 1.11310 -25.4292 17.33 MHz Alumina 9.8 5.14271 45.1252 1.18228 -21.5635 8.73 MHz 4.0. CONCLUSION From the simulations, it was clearly shown in Table 2 that the higher the value of the dielectric constant, the lower the gain and bandwith. A Maximum of 7.5 dB gain was obtained using Duroid 5880 substrate material which a dielectric constant of 2.2, while a gain of 5.1 dB gain was obtained using Alumina substrate material. The results prove that using a substrate material with a lower dielectric constant in design of MPA leads to better antenna performance. From this paper, it can be clearly seen that substrate material and specifically the dielectric constant effectively determines the performance of a rectangular microstrip patch antenna. REFERENCES Ahamed Maruf et.al.(2012). Rectangular Microstrip Patch Antenna at 2GHz on Different Dielectric Constant for Pervasive Wireless Communication. International Journal of Electrical and Computer Engineering, Vol. 2, No. 3, pp. 31-39. Ali Dheyab and Karim Hamad (2011). Improving Bandwidth of Rectangular Patch Antenna using Different Thickness of Dielectric Substrate. ARPN Journal of Engineering and Applied Sciences, Vol. 6, No. 4, pp. 16-21. Balanis, Contantine A. (1997). Antenna Theory – Analysis and Design. John Wiley & Sons Inc., 2nd Edition, pp. 722- 751. Dafalla (2004). Design of a Rectangular Microstrip Patch Antenna at 1GHz. RF and Microwave Conference, Subang, Selangor, Malaysia, pp. 145-149. D. D. Sandu et.al.(2003). Microstrip Patch Antenna with Dielectric Substrate. Journal of Optoelectronics and Advance Materials, Vol. 5, No. 5, pp. 1381-1387. Indrasen Singh et al (2011). Microstrip Patch Antenna and its Applications: a Survey. Int. J. Comp. Tech. Appl., Vol. 2, pp. 1595-1599. K. Guney and N. Sirikaya, (2004). Adaptive Neuro-Fuzzy Infrerence System for Computing of the Resonant Frequency of Circular Microstrip Antennas. Aces Journal, Vol. 19, No. 3, pp. 188-197. Mutiara et al, (2011). Design of Microstrip Antenna for Wireless Communication at 2.4 GHz. Journal of Theoretical and Applied Information Technology, Vol. 33, No. 2, pp. 184-192. Saeed, A. Rashid and K. Sabira (2005). Design of Microstrip Antenna for WLAN. Journal of Applied Sciences 5, Asian Network for Scientific Information, pp. 47-51. T. Durga Prasad et.al.(2011). Comparisons of Circular and Rectangular Microstrip Patch Antennas. International Journal of Communication Engineering Applications, Vol. 2, No. 4, pp. 187-197. 14
  • 9. This academic article was published by The International Institute for Science, Technology and Education (IISTE). The IISTE is a pioneer in the Open Access Publishing service based in the U.S. and Europe. The aim of the institute is Accelerating Global Knowledge Sharing. More information about the publisher can be found in the IISTE’s homepage: http://www.iiste.org The IISTE is currently hosting more than 30 peer-reviewed academic journals and collaborating with academic institutions around the world. Prospective authors of IISTE journals can find the submission instruction on the following page: http://www.iiste.org/Journals/ The IISTE editorial team promises to the review and publish all the qualified submissions in a fast manner. All the journals articles are available online to the readers all over the world without financial, legal, or technical barriers other than those inseparable from gaining access to the internet itself. Printed version of the journals is also available upon request of readers and authors. IISTE Knowledge Sharing Partners EBSCO, Index Copernicus, Ulrich's Periodicals Directory, JournalTOCS, PKP Open Archives Harvester, Bielefeld Academic Search Engine, Elektronische Zeitschriftenbibliothek EZB, Open J-Gate, OCLC WorldCat, Universe Digtial Library , NewJour, Google Scholar