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Innovative Systems Design and Engineering                                                              www.iiste.org
ISSN 2222-1727 (Paper) ISSN 2222-2871 (Online)
Vol 3, No 6, 2012


             A Study on Active Microstrip Circular Patch Antenna
                                    Somnath Chatterjee1*, A Bhattacharya2 and B.N. Biswas3
            1.        Kanailal Vidyamandir (Fr. Section), Chandernagore, Hooghly 712136, West Bengal. India.
                               2.    Vivekananda Mahavidyalaya, Burdwan, West Bengal, INDIA
                 3.     Sir J.C. Bose School of Engineering, SKF Group of Institutions, Mankundu, Hooghly,
                                                     West Bengal- 712139
                               * E-mail of the corresponding author: somnathchat@yahoo.com
Abstract
A two/three terminal active device integrated with a microstrip circular patch antenna is known as an Active
Microstrip Circular Patch Antenna. In case of active antenna maximum possible radiated power can be realized when
i) the generated power is maximized and ii) the radiator is matched to the intrinsic impedance of free space. To
provide the best radiation performance a new relation based on nonlinear interaction between the device and circuit
has been developed in this paper. Theoretical result verified with the experimental proofs.
Keywords: Active Microstrip Circular Patch Antenna, Gunn Diode, Radiation Pattern.

1. Introduction
The origin of active antenna start from 1966 when active dipole was invented (Ramsdale, P. A., 1971). Armstrong, et
al (1980) developed an active BARITT integrated microstrip patch antenna in 1980. Morris proposed the Active
microstrip patch integrated with a Gunn diode in 1984 (Morris, G., H J Thomas and D L Fudge). The use of an
IMPATT diode in an active antenna was demonstrated by Dydyk in 1986. The FET integrated microstrip patch
antenna was first proposed by Chang et al (1988). Active antenna elements with notch antennas were developed in
1990 by Chang et al . The Microstrip Ring Resonator was first proposed by P Traughton in 1969 for the
measurements of the phase velocity and dispersive characteristics of a microstrip line. In the 1980s, applications
using ring circuits as antenna and frequency-selective surfaces emerged. The concept of Microstrip slot antennas has
evolved from slot antenna excited by a strip line. These types slot antennas have been extensively discussed in the
literature (Waterman, A., et al, Fritz, W. A.,et al and Rao, J. S et al). Rectangular microstrip patch is the most
commonly used microstrip antenna and is characterized by its length and width (Bhal, I J., and P Bhartia). Both
theoretical and experimental studies of active microstrip patch antenna have been discussed in the recent articles
(Biswas, B. N. et al 1999, 2000, Navarro, N A. Durga Prasad, T, Mandal, M. K , Chatterjee, S). Another
configuration of common use is circular patch antenna and its geometry is characterized by its radius only. Some
aspects on circular patch antenna have been discussed in this paper along with a comparison to rectangular active
patch antennas.


2. System Equation and Modelling
A microstrip patch antenna is a radiating patch etched out on one side of a dielectric substrate, which has ground
plane on the underside. The EM wave fringes off the top patch into the substrate, reflecting off the ground plane and
radiates out into the air. This is illustrated in Fig. 1. Radiation occurs mostly due to the fringing field between the
patch and ground. The radiation efficiency of the patch antenna depends largely on the permittivity of the dielectric.
Ideally, a thick dielectric material with a low dielectric constant and low insertion loss is preferred for broadband
purposes and increased efficiency. Whenever a two/three terminal active device is integrated with a microstrip
circular patch antenna the assembly is known as an Active Microstrip Circular Patch Antenna. A circular active
microstrip patch configuration is shown in Fig.1. Circular active microstrip patch antenna configuration with active
device is placed on the patch is shown in Fig 2.
If Gr is the conductance at resonance for the feed location r = a, Gin may be written as



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Innovative Systems Design and Engineering                                                               www.iiste.org
ISSN 2222-1727 (Paper) ISSN 2222-2871 (Online)
Vol 3, No 6, 2012


                        Jn 2 ( ka )
          Gin = Gr                                                   (1)
                        Jn2 ( kr )
The circular microstrip patch along with the Gunn diode can be treated as an oscillator. The steady state voltage
output of such an oscillator can be written as

                     4 α d − Gin
             Vs2 =
                     3 γd
Power radiated

                               4 α d − Gin
          Pr = 2Vs2Gr =                    2Gr                       (2)
                               3 γd

                                                 dPr
Maximum power is obtained by putting                 = 0 , giving
                                                 dGr

                         J12 ( ka )
          α d = 2Gr
                         J12 ( kr )

                     1
putting   αd =          , dynamic conductance of the diode we can write
                     Rd
                                             2
                            πr  
                   1 − cos a  
          Rd =
                1
                                             .                   (3)
               2Gr       2        
                                  
                                  
From the above equation

          r=
               π
                a
                          (
                    cos −1 1 − 2 Gr Rd      )    ,                         (4)

gives the location of the diode into the patch for highest possible radiated power. The value is slightly different from
(Navarro, N A., and K Chang, 1996). Putting the value of α d in expression (2) maximum power becomes
                              2    Jn 2 ( ka ) 
          [Pr ]max = 16 Gr         2                                     (5)
                         3 γd      Jn ( kr ) 
                                               

This indicates that the maximum power radiation depends on radiation conductance, non-linearity, and location of
the diode.

3. Experimental Results
In case of active antenna maximum possible radiated power can be realized when i) the generated power is
maximized and ii) the radiator is matched to the intrinsic impedance of free space. The first one can happen when the

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Innovative Systems Design and Engineering                                                              www.iiste.org
ISSN 2222-1727 (Paper) ISSN 2222-2871 (Online)
Vol 3, No 6, 2012

device and antenna are perfectly matched in the dynamic condition, but not in the static condition as thought by
earlier workers i.e. patch and the device are independently considered. To provide the best radiation performance the
early workers (Navarro, N A., and K Chang, 1996, Durga Prasad, T., 2011 and Mandal, M. K, 2007) empirically
offset diode from the centre. In this work a relation based on nonlinear interaction between the device and circuit has
been developed. Two sets of circular patches have been designed and fabricated to operate at 8.5 GHz. In the first
patch (C-1) the diode is placed within the patch according to expression (4) while, in the second patch (C-2) the
diode is positioned at an arbitrary point. The same low power diode (MA/COM-49104, 25 mW) has been used in two
cases. The design parameters are given below:
      Frequency of resonance (fr) = 8.5 GHz
      Effective radius of the patch (aeff) = 5.4187 mm
      Physical radius of the patch (a) = 4.744 mm
      Free space wavelength ( λo ) = 35.294 mm
      Substrate chosen = Takonic TLY-5-0310-CH/CH
      Relative permittivity of the substrate ( ε r) = 2.2
      Effective dielectric constant ( ε eff) = 3.645
      Guided wavelength ( λ g) = 18.486
      Height of of the substrate (h) = 0.787 mm
      Thicknes of the substrate (t) = 0.018 mm
      Propagation constant ( βd ) = 0.34

 3.1 Bias Tuning


Free running power spectrum observed in a spectrum analyser (HP 8566B) to determine the locking gain and locking
bandwidth of two circular patches of the active patch (C-1and C-2). Variation of oscillator power output and
frequency with bias voltage of the patch (C-1) is shown in Fig.3.


3.2 Locking Range vs Locking gain and measurement of Q

An experimental set up to determine the above through injection locking is shown in Fig 5. Injection signal generated
from a sweep oscillator (HP-8350B) has been transmitted by a standard gain pyramidal horn (Vidyut Y Udyog
X5041).

Locking gain (dB) is defined as

                        Po
         Ge = 10 log                                           (6)
                        Pi
Pi= injection lock signal power,
Po= free running oscillator power.

Q-factor of a circuit can be determined with the help of locking bandwidth   (2∆f max )   and locking gain.

Two sided locking bandwidth

                                            ω o Ei
                             = 2∆ω max =
                                             Q E

      ∆f max 1        Pi
            =                                                  (7)
        fo    Q       Po

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Innovative Systems Design and Engineering                                                             www.iiste.org
ISSN 2222-1727 (Paper) ISSN 2222-2871 (Online)
Vol 3, No 6, 2012


             fo       Pi
     Q=                                                   (8)
           ∆f max     Po

Injection locking has been done with a sweep oscillator (HP-8530B) Using expression (6) and (8) locking gain and Q
of the patches is measured. Injection locking bandwidth as a function of locking gain for the patch C-1 is shown in
Fig.4. Locking gain (Ge) determines the power required to externally injection lock the antenna element. Patch C-1
exhibits a locking gain of 25 dB, lock range nearly 3.5 MHz at 8.40 GHz. Value of Q obtained is ~159, with a
moderate locking range for C-1 whereas for C-2 lock range sharply decreases with an increase in Q.


3.3 Power output
According to Friis transmission formula
                                    2
                          λ 
         Po = PP G P G H  o                              (9)
                          4πR 
Po = Power received by a standard horn (pyramidal antenna having gain GH)

        2πab
GH =            , a, b being horn’s dimensions
         λ2
          o

PP = power radiated by the patch antenna having gain GP
R = linear distance between horn and patch antennas.

λo = free space wavelength
Power output from the two patches (shown in Table 1) is calculated according to equation (9). An X-band M/A COM
49106 medium power diode 50mW diode have been used to measure the same.
Radiation pattern of antenna C-1 is shown in Fig. 6. It is less directional compared to rectangular antenna pattern
(Biswas, B. N et al, 1999).


5. Conclusion

A circular active microstrip patch antenna has been designed on the basis of cavity model. Device –antenna
non-linear interaction has been considered. Location of the active device into the patch has been modified to
equation (4) for highest possible radiated power. With a 25mW diode the maximum power obtained was 45.3
(EIRP~185.6). A circular patch having same dimension but diode placed at the point predicted by earlier workers has
also been designed. But the output power of the active circular patch as suggested by the authors is higher than the
conventional one. A large Q value (~159) for the circular active antenna has been realized with the said patch (C-1).
A 4.744mm circular patch (C-1) exhibited a locking range of 3.5 MHz at 8.4 GHz. Bias tuning band-width of this
patch was 1.43% even lower than that of a rectangular patch.




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Innovative Systems Design and Engineering                                                          www.iiste.org
ISSN 2222-1727 (Paper) ISSN 2222-2871 (Online)
Vol 3, No 6, 2012

References


Ramsdale, P. A.   and T S M Maclean, “Active loop-dipole aerials,” Proc. of IEE, vol. 118, no.12, pp. 1698-1710,
Dec. 1971.
Armstrong, B. M., R Brown, R Fix & J A C Stewart, “Use of microstrip impedance-measurement technique in the
design of a BARITT diplex Dopper sensor,” IEEE Trans. Microwave theory Tech., vol. MTT- 28, no 12, pp
1437-1442, Dec. 1980.
Morris, G., H J Thomas and D L Fudge, “Active patch antennas,” Millitary Microwave Conference London, pp
245-249, Sept. 1984.
Dydyk, M., “Planar radial resonator oscillator,” IEEE MTT-S Int. Microwave Symp., pp 167-168, 1986.
Chang, K., K A Hummer and G Gopalakrishnan, “Active radiating element using FET source integrated with
microstrip patch antenna,” Electron. Lett., vol 24, no 21, pp 1347-1348, Oct. 1988.
Navarro, J A., Y Shu & K Chang, “Active end fire antenna elements and power combines using notch antennas,”
IEEE-MTT Microwave Symp. Dig. Technical Papers, pp 793-796, May 1990.
Waterman, A., et al, “Strip Line Strap-on Antenna Array,” Proc.            Array Antenna Conf., Naval Electronics
Laboratory Center, San Diego, Feb. 1972.
Fritz, W. A., and P. E. Mayes, “A Frequency –scanning Strip line-fed periodic slot array,” IEEE AP-S Int. Symp.
Digest, 1974, pp 278-281.
Rao, J. S., and B. N. Das, “Impedance of off-centered Strip line Fed Series Slot,” IEEE Trans. on Antennas and
Propagation, vol. AP-26, 1978, pp 893-895.
Bhal, I J., and P Bhartia, “Microstrip antennas”, Artech House, MA 1980.
Biswas, B. N., A Bhattacharya, D Mondal and P Lahiri, “A novel scheme for reception using an active microstrip
antenna”, IEEE Trans. Microwave Theory Tech., vol MTT-48,no 10,pp.1765-1768, Oct2000.
Biswas, B. N., A Bhattacharya, D Mondal, A Bose and S Pal, “Active rectangular microstrip antenna revisited,” IETE
J. of Research, vol.45, no.2 pp.135-145, March-April 1999.
Navarro, N A., and K   Chang , “Integrated Active Antenna and Spatial Power Combining”, John Wiley & Sons, NY
1996.
Durga Prasad, T., K. V. Satya Kumar, MD Khwaja Muinuddin, Chisti B.Kanthamma, V.Santosh Kumar,
“Comparisons of Circular and Rectangular Microstrip Patch Antennas”International Journal of Communication
Engineering Applications-IJCEA, Vol 02, Issue 04; 2011.
Mandal, M. K., P. Mondal, S. Sanyal, and A. Chakrabarty , “An Improved Design Of Harmonic Suppression For
Microstrip Patch Antennas”, Microwave and Optical Technology Letters, pp. 103-105 Vol. 49, No. 1, January 2007.
Chatterjee, S, A Bhattacharaya and B N Biswas, “Active Rectangular Patch Antenna - A New Design Philosophy”
International Journal of Electronics and Communication Engineering & Technology (IJECET), pp-220-228, Volume 3
Issue 1 January- June 2012.
.




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Innovative Systems Design and Engineering                                                          www.iiste.org
ISSN 2222-1727 (Paper) ISSN 2222-2871 (Online)
Vol 3, No 6, 2012



                     Somnath Chatterjee was born in Hooghly, West Bengal, in January 1976. He received the M
                     Sc degreee in 2001 from the Burdwan University, West Bengal, India. At present he is with the
                     Kanailal Vidyamandir (French Section), Chandernagore, Hooghly, West Bengal, India, and
                     also a registered Ph. D student of West Bengal University of Technology. His research
                     interests are in Active Microstrip Antenna, Injection locked Oscillator, Laser Induced
                     Microwave Oscillator etc. He is recipients of URSI Young Scientist awards in 2005.


                     Professor B N Biswas Emeritus Professor, Chairman, Education Division SKF Group of
                     Institutions, Mankundu, Hooghly, West Bengal, India. Former National Lecturer (UGC),
                     Emeritus Fellow (AICTE) Visiting Faculty University of Minnesota (USA); Founder
                     Prof-in-Charge University Institute of Technology, Microwave Division (BU); CU Gold
                     Medallist; URSI Member: Commissions C, D, E and Developing Countries, Seminar Lecture
                     tour to : Univ of Pisa (Italy), Univ of Bath (UK), Univ College (London), Univ of Leeds (UK),
                     Univ of Kyoto (Japan), Univ of Okayama (Japan), Electro Communication Univ (Osaka),
                     Czech Academy of Sciences; Univ of Erlangen (Germany), National Singapore University etc;
                     Best Citizens Award (2005); Member: Various National & Intl Committee, Recipient of
Various Awards 22 Ph D’s, 225 Publications in IEEEs and other referred journals, First Indian author on a book on
Phase Locked Loops.




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Innovative Systems Design and Engineering                                          www.iiste.org
ISSN 2222-1727 (Paper) ISSN 2222-2871 (Online)
Vol 3, No 6, 2012




                                                  Radius (a)
                     a

                                                                     Patch
                                                                       Substrate

                                              Ground Plane
      Gunn                Bias
      Diode              supply



            Fig. 1: Active Microstrip Circular Patch Antenna and its operation

                                                                 Y
                                  Z


                                              L


                                       Gunn diode
                                                          Bias




        h

                                                     Substrate

                                      Ground plane
                                                                              X

            Fig.2 Circular active microstrip patch antenna configuration
                              Active device is placed on the patch




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Innovative Systems Design and Engineering             www.iiste.org
ISSN 2222-1727 (Paper) ISSN 2222-2871 (Online)
Vol 3, No 6, 2012




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Innovative Systems Design and Engineering                                    www.iiste.org
ISSN 2222-1727 (Paper) ISSN 2222-2871 (Online)
Vol 3, No 6, 2012




                                                                  Spectrum
                                                                  analyser




                                                      GH,P2              Power
                                         Po
                                      .....                              meter
                      GP
         Bias                                    R
        supply
                                      .....
                                                                        Injection
                                     Pi                                   signal
                                                      GH,P1


                            Fig 5 Injection locking arrangement




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Innovative Systems Design and Engineering                                     www.iiste.org
ISSN 2222-1727 (Paper) ISSN 2222-2871 (Online)
Vol 3, No 6, 2012




                     Fig. 6   Radiation pattern of a circular patch antenna
                                   (Gunn diode placed on proper location)
                               (a) E-plane              (b) H-plane



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Innovative Systems Design and Engineering                                                    www.iiste.org
ISSN 2222-1727 (Paper) ISSN 2222-2871 (Online)
Vol 3, No 6, 2012




Table 1- Measured Antenna Powers at the operating frequencies


                   fo                                                            EIRP PPGP   Power PP
     Antenna              λo mm     R mm        GP           GH      Po (mW)
                  GHz                                                              (mW)       (mW)
                                                                      0.134       185.52      45.93
                                                            63.095               (E-Plane)   (E-Plane)
                                                                     (E-Plane)
       C-1        8.40     35.71     840       4.04                               130.42      32.29
                                                            18 dB     0.094
                                                                                 (H-Plane)   (H-Plane)
                                                                     (H-Plane)
                                                                      0.0564       78.64      19.47
                                                            63.095   (E-Plane)   (E-Plane)   (E-Plane)
       C-2        8.43    35.587     840       4.04
                                                            18 dB     0.0625      87.151      21.57
                                                                     (H-Plane)   (H-Plane)   (H-Plane)




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A study on active microstrip circular patch antenna

  • 1. Innovative Systems Design and Engineering www.iiste.org ISSN 2222-1727 (Paper) ISSN 2222-2871 (Online) Vol 3, No 6, 2012 A Study on Active Microstrip Circular Patch Antenna Somnath Chatterjee1*, A Bhattacharya2 and B.N. Biswas3 1. Kanailal Vidyamandir (Fr. Section), Chandernagore, Hooghly 712136, West Bengal. India. 2. Vivekananda Mahavidyalaya, Burdwan, West Bengal, INDIA 3. Sir J.C. Bose School of Engineering, SKF Group of Institutions, Mankundu, Hooghly, West Bengal- 712139 * E-mail of the corresponding author: somnathchat@yahoo.com Abstract A two/three terminal active device integrated with a microstrip circular patch antenna is known as an Active Microstrip Circular Patch Antenna. In case of active antenna maximum possible radiated power can be realized when i) the generated power is maximized and ii) the radiator is matched to the intrinsic impedance of free space. To provide the best radiation performance a new relation based on nonlinear interaction between the device and circuit has been developed in this paper. Theoretical result verified with the experimental proofs. Keywords: Active Microstrip Circular Patch Antenna, Gunn Diode, Radiation Pattern. 1. Introduction The origin of active antenna start from 1966 when active dipole was invented (Ramsdale, P. A., 1971). Armstrong, et al (1980) developed an active BARITT integrated microstrip patch antenna in 1980. Morris proposed the Active microstrip patch integrated with a Gunn diode in 1984 (Morris, G., H J Thomas and D L Fudge). The use of an IMPATT diode in an active antenna was demonstrated by Dydyk in 1986. The FET integrated microstrip patch antenna was first proposed by Chang et al (1988). Active antenna elements with notch antennas were developed in 1990 by Chang et al . The Microstrip Ring Resonator was first proposed by P Traughton in 1969 for the measurements of the phase velocity and dispersive characteristics of a microstrip line. In the 1980s, applications using ring circuits as antenna and frequency-selective surfaces emerged. The concept of Microstrip slot antennas has evolved from slot antenna excited by a strip line. These types slot antennas have been extensively discussed in the literature (Waterman, A., et al, Fritz, W. A.,et al and Rao, J. S et al). Rectangular microstrip patch is the most commonly used microstrip antenna and is characterized by its length and width (Bhal, I J., and P Bhartia). Both theoretical and experimental studies of active microstrip patch antenna have been discussed in the recent articles (Biswas, B. N. et al 1999, 2000, Navarro, N A. Durga Prasad, T, Mandal, M. K , Chatterjee, S). Another configuration of common use is circular patch antenna and its geometry is characterized by its radius only. Some aspects on circular patch antenna have been discussed in this paper along with a comparison to rectangular active patch antennas. 2. System Equation and Modelling A microstrip patch antenna is a radiating patch etched out on one side of a dielectric substrate, which has ground plane on the underside. The EM wave fringes off the top patch into the substrate, reflecting off the ground plane and radiates out into the air. This is illustrated in Fig. 1. Radiation occurs mostly due to the fringing field between the patch and ground. The radiation efficiency of the patch antenna depends largely on the permittivity of the dielectric. Ideally, a thick dielectric material with a low dielectric constant and low insertion loss is preferred for broadband purposes and increased efficiency. Whenever a two/three terminal active device is integrated with a microstrip circular patch antenna the assembly is known as an Active Microstrip Circular Patch Antenna. A circular active microstrip patch configuration is shown in Fig.1. Circular active microstrip patch antenna configuration with active device is placed on the patch is shown in Fig 2. If Gr is the conductance at resonance for the feed location r = a, Gin may be written as 91
  • 2. Innovative Systems Design and Engineering www.iiste.org ISSN 2222-1727 (Paper) ISSN 2222-2871 (Online) Vol 3, No 6, 2012 Jn 2 ( ka ) Gin = Gr (1) Jn2 ( kr ) The circular microstrip patch along with the Gunn diode can be treated as an oscillator. The steady state voltage output of such an oscillator can be written as 4 α d − Gin Vs2 = 3 γd Power radiated 4 α d − Gin Pr = 2Vs2Gr = 2Gr (2) 3 γd dPr Maximum power is obtained by putting = 0 , giving dGr J12 ( ka ) α d = 2Gr J12 ( kr ) 1 putting αd = , dynamic conductance of the diode we can write Rd 2   πr   1 − cos a   Rd = 1    . (3) 2Gr  2      From the above equation r= π a ( cos −1 1 − 2 Gr Rd ) , (4) gives the location of the diode into the patch for highest possible radiated power. The value is slightly different from (Navarro, N A., and K Chang, 1996). Putting the value of α d in expression (2) maximum power becomes 2  Jn 2 ( ka )  [Pr ]max = 16 Gr  2  (5) 3 γd  Jn ( kr )    This indicates that the maximum power radiation depends on radiation conductance, non-linearity, and location of the diode. 3. Experimental Results In case of active antenna maximum possible radiated power can be realized when i) the generated power is maximized and ii) the radiator is matched to the intrinsic impedance of free space. The first one can happen when the 92
  • 3. Innovative Systems Design and Engineering www.iiste.org ISSN 2222-1727 (Paper) ISSN 2222-2871 (Online) Vol 3, No 6, 2012 device and antenna are perfectly matched in the dynamic condition, but not in the static condition as thought by earlier workers i.e. patch and the device are independently considered. To provide the best radiation performance the early workers (Navarro, N A., and K Chang, 1996, Durga Prasad, T., 2011 and Mandal, M. K, 2007) empirically offset diode from the centre. In this work a relation based on nonlinear interaction between the device and circuit has been developed. Two sets of circular patches have been designed and fabricated to operate at 8.5 GHz. In the first patch (C-1) the diode is placed within the patch according to expression (4) while, in the second patch (C-2) the diode is positioned at an arbitrary point. The same low power diode (MA/COM-49104, 25 mW) has been used in two cases. The design parameters are given below: Frequency of resonance (fr) = 8.5 GHz Effective radius of the patch (aeff) = 5.4187 mm Physical radius of the patch (a) = 4.744 mm Free space wavelength ( λo ) = 35.294 mm Substrate chosen = Takonic TLY-5-0310-CH/CH Relative permittivity of the substrate ( ε r) = 2.2 Effective dielectric constant ( ε eff) = 3.645 Guided wavelength ( λ g) = 18.486 Height of of the substrate (h) = 0.787 mm Thicknes of the substrate (t) = 0.018 mm Propagation constant ( βd ) = 0.34 3.1 Bias Tuning Free running power spectrum observed in a spectrum analyser (HP 8566B) to determine the locking gain and locking bandwidth of two circular patches of the active patch (C-1and C-2). Variation of oscillator power output and frequency with bias voltage of the patch (C-1) is shown in Fig.3. 3.2 Locking Range vs Locking gain and measurement of Q An experimental set up to determine the above through injection locking is shown in Fig 5. Injection signal generated from a sweep oscillator (HP-8350B) has been transmitted by a standard gain pyramidal horn (Vidyut Y Udyog X5041). Locking gain (dB) is defined as Po Ge = 10 log (6) Pi Pi= injection lock signal power, Po= free running oscillator power. Q-factor of a circuit can be determined with the help of locking bandwidth (2∆f max ) and locking gain. Two sided locking bandwidth ω o Ei = 2∆ω max = Q E ∆f max 1 Pi = (7) fo Q Po 93
  • 4. Innovative Systems Design and Engineering www.iiste.org ISSN 2222-1727 (Paper) ISSN 2222-2871 (Online) Vol 3, No 6, 2012 fo Pi Q= (8) ∆f max Po Injection locking has been done with a sweep oscillator (HP-8530B) Using expression (6) and (8) locking gain and Q of the patches is measured. Injection locking bandwidth as a function of locking gain for the patch C-1 is shown in Fig.4. Locking gain (Ge) determines the power required to externally injection lock the antenna element. Patch C-1 exhibits a locking gain of 25 dB, lock range nearly 3.5 MHz at 8.40 GHz. Value of Q obtained is ~159, with a moderate locking range for C-1 whereas for C-2 lock range sharply decreases with an increase in Q. 3.3 Power output According to Friis transmission formula 2  λ  Po = PP G P G H  o  (9)  4πR  Po = Power received by a standard horn (pyramidal antenna having gain GH) 2πab GH = , a, b being horn’s dimensions λ2 o PP = power radiated by the patch antenna having gain GP R = linear distance between horn and patch antennas. λo = free space wavelength Power output from the two patches (shown in Table 1) is calculated according to equation (9). An X-band M/A COM 49106 medium power diode 50mW diode have been used to measure the same. Radiation pattern of antenna C-1 is shown in Fig. 6. It is less directional compared to rectangular antenna pattern (Biswas, B. N et al, 1999). 5. Conclusion A circular active microstrip patch antenna has been designed on the basis of cavity model. Device –antenna non-linear interaction has been considered. Location of the active device into the patch has been modified to equation (4) for highest possible radiated power. With a 25mW diode the maximum power obtained was 45.3 (EIRP~185.6). A circular patch having same dimension but diode placed at the point predicted by earlier workers has also been designed. But the output power of the active circular patch as suggested by the authors is higher than the conventional one. A large Q value (~159) for the circular active antenna has been realized with the said patch (C-1). A 4.744mm circular patch (C-1) exhibited a locking range of 3.5 MHz at 8.4 GHz. Bias tuning band-width of this patch was 1.43% even lower than that of a rectangular patch. 94
  • 5. Innovative Systems Design and Engineering www.iiste.org ISSN 2222-1727 (Paper) ISSN 2222-2871 (Online) Vol 3, No 6, 2012 References Ramsdale, P. A. and T S M Maclean, “Active loop-dipole aerials,” Proc. of IEE, vol. 118, no.12, pp. 1698-1710, Dec. 1971. Armstrong, B. M., R Brown, R Fix & J A C Stewart, “Use of microstrip impedance-measurement technique in the design of a BARITT diplex Dopper sensor,” IEEE Trans. Microwave theory Tech., vol. MTT- 28, no 12, pp 1437-1442, Dec. 1980. Morris, G., H J Thomas and D L Fudge, “Active patch antennas,” Millitary Microwave Conference London, pp 245-249, Sept. 1984. Dydyk, M., “Planar radial resonator oscillator,” IEEE MTT-S Int. Microwave Symp., pp 167-168, 1986. Chang, K., K A Hummer and G Gopalakrishnan, “Active radiating element using FET source integrated with microstrip patch antenna,” Electron. Lett., vol 24, no 21, pp 1347-1348, Oct. 1988. Navarro, J A., Y Shu & K Chang, “Active end fire antenna elements and power combines using notch antennas,” IEEE-MTT Microwave Symp. Dig. Technical Papers, pp 793-796, May 1990. Waterman, A., et al, “Strip Line Strap-on Antenna Array,” Proc. Array Antenna Conf., Naval Electronics Laboratory Center, San Diego, Feb. 1972. Fritz, W. A., and P. E. Mayes, “A Frequency –scanning Strip line-fed periodic slot array,” IEEE AP-S Int. Symp. Digest, 1974, pp 278-281. Rao, J. S., and B. N. Das, “Impedance of off-centered Strip line Fed Series Slot,” IEEE Trans. on Antennas and Propagation, vol. AP-26, 1978, pp 893-895. Bhal, I J., and P Bhartia, “Microstrip antennas”, Artech House, MA 1980. Biswas, B. N., A Bhattacharya, D Mondal and P Lahiri, “A novel scheme for reception using an active microstrip antenna”, IEEE Trans. Microwave Theory Tech., vol MTT-48,no 10,pp.1765-1768, Oct2000. Biswas, B. N., A Bhattacharya, D Mondal, A Bose and S Pal, “Active rectangular microstrip antenna revisited,” IETE J. of Research, vol.45, no.2 pp.135-145, March-April 1999. Navarro, N A., and K Chang , “Integrated Active Antenna and Spatial Power Combining”, John Wiley & Sons, NY 1996. Durga Prasad, T., K. V. Satya Kumar, MD Khwaja Muinuddin, Chisti B.Kanthamma, V.Santosh Kumar, “Comparisons of Circular and Rectangular Microstrip Patch Antennas”International Journal of Communication Engineering Applications-IJCEA, Vol 02, Issue 04; 2011. Mandal, M. K., P. Mondal, S. Sanyal, and A. Chakrabarty , “An Improved Design Of Harmonic Suppression For Microstrip Patch Antennas”, Microwave and Optical Technology Letters, pp. 103-105 Vol. 49, No. 1, January 2007. Chatterjee, S, A Bhattacharaya and B N Biswas, “Active Rectangular Patch Antenna - A New Design Philosophy” International Journal of Electronics and Communication Engineering & Technology (IJECET), pp-220-228, Volume 3 Issue 1 January- June 2012. . 95
  • 6. Innovative Systems Design and Engineering www.iiste.org ISSN 2222-1727 (Paper) ISSN 2222-2871 (Online) Vol 3, No 6, 2012 Somnath Chatterjee was born in Hooghly, West Bengal, in January 1976. He received the M Sc degreee in 2001 from the Burdwan University, West Bengal, India. At present he is with the Kanailal Vidyamandir (French Section), Chandernagore, Hooghly, West Bengal, India, and also a registered Ph. D student of West Bengal University of Technology. His research interests are in Active Microstrip Antenna, Injection locked Oscillator, Laser Induced Microwave Oscillator etc. He is recipients of URSI Young Scientist awards in 2005. Professor B N Biswas Emeritus Professor, Chairman, Education Division SKF Group of Institutions, Mankundu, Hooghly, West Bengal, India. Former National Lecturer (UGC), Emeritus Fellow (AICTE) Visiting Faculty University of Minnesota (USA); Founder Prof-in-Charge University Institute of Technology, Microwave Division (BU); CU Gold Medallist; URSI Member: Commissions C, D, E and Developing Countries, Seminar Lecture tour to : Univ of Pisa (Italy), Univ of Bath (UK), Univ College (London), Univ of Leeds (UK), Univ of Kyoto (Japan), Univ of Okayama (Japan), Electro Communication Univ (Osaka), Czech Academy of Sciences; Univ of Erlangen (Germany), National Singapore University etc; Best Citizens Award (2005); Member: Various National & Intl Committee, Recipient of Various Awards 22 Ph D’s, 225 Publications in IEEEs and other referred journals, First Indian author on a book on Phase Locked Loops. 96
  • 7. Innovative Systems Design and Engineering www.iiste.org ISSN 2222-1727 (Paper) ISSN 2222-2871 (Online) Vol 3, No 6, 2012 Radius (a) a Patch Substrate Ground Plane Gunn Bias Diode supply Fig. 1: Active Microstrip Circular Patch Antenna and its operation Y Z L Gunn diode Bias h Substrate Ground plane X Fig.2 Circular active microstrip patch antenna configuration Active device is placed on the patch 97
  • 8. Innovative Systems Design and Engineering www.iiste.org ISSN 2222-1727 (Paper) ISSN 2222-2871 (Online) Vol 3, No 6, 2012 98
  • 9. Innovative Systems Design and Engineering www.iiste.org ISSN 2222-1727 (Paper) ISSN 2222-2871 (Online) Vol 3, No 6, 2012 Spectrum analyser GH,P2 Power Po ..... meter GP Bias R supply ..... Injection Pi signal GH,P1 Fig 5 Injection locking arrangement 99
  • 10. Innovative Systems Design and Engineering www.iiste.org ISSN 2222-1727 (Paper) ISSN 2222-2871 (Online) Vol 3, No 6, 2012 Fig. 6 Radiation pattern of a circular patch antenna (Gunn diode placed on proper location) (a) E-plane (b) H-plane 100
  • 11. Innovative Systems Design and Engineering www.iiste.org ISSN 2222-1727 (Paper) ISSN 2222-2871 (Online) Vol 3, No 6, 2012 Table 1- Measured Antenna Powers at the operating frequencies fo EIRP PPGP Power PP Antenna λo mm R mm GP GH Po (mW) GHz (mW) (mW) 0.134 185.52 45.93 63.095 (E-Plane) (E-Plane) (E-Plane) C-1 8.40 35.71 840 4.04 130.42 32.29 18 dB 0.094 (H-Plane) (H-Plane) (H-Plane) 0.0564 78.64 19.47 63.095 (E-Plane) (E-Plane) (E-Plane) C-2 8.43 35.587 840 4.04 18 dB 0.0625 87.151 21.57 (H-Plane) (H-Plane) (H-Plane) 101
  • 12. 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