Optimization of Impedance Plane Reducing Coupling between Antennas

Author(s)
Yong S. Joe,
Jean-François D. Essiben,
Eric R. Hedin,
Jacquie Thérèse N. Bisse,
Jаcques Mаtаngа

ABSTRACT

This paper provides a solution for the design optimization of two-dimensional impedance structures for a given elec-tromagnetic field distribution. These structures must provide electromagnetic compatibility between antennas located on a plane. The optimization problem is solved for a given attenuation of the complete field. Since the design optimiza-tion gives a complex law of impedance distribution with a large real part, we employ the method of pointwise synthesis for the optimization of the structure. We also consider the design optimization case where the structure has zero im-pedance on its leading and trailing edges. The method of moments is used to solve the integral equations and the nu-merical solution is presented. The calculated impedance distribution provides the required level of antenna decoupling. The designs are based on the concept of soft and hard surfaces in electromagnetics.

This paper provides a solution for the design optimization of two-dimensional impedance structures for a given elec-tromagnetic field distribution. These structures must provide electromagnetic compatibility between antennas located on a plane. The optimization problem is solved for a given attenuation of the complete field. Since the design optimiza-tion gives a complex law of impedance distribution with a large real part, we employ the method of pointwise synthesis for the optimization of the structure. We also consider the design optimization case where the structure has zero im-pedance on its leading and trailing edges. The method of moments is used to solve the integral equations and the nu-merical solution is presented. The calculated impedance distribution provides the required level of antenna decoupling. The designs are based on the concept of soft and hard surfaces in electromagnetics.

Cite this paper

nullY. Joe, J. Essiben, E. Hedin, J. Bisse and J. Mаtаngа, "Optimization of Impedance Plane Reducing Coupling between Antennas,"*Wireless Engineering and Technology*, Vol. 2 No. 1, 2011, pp. 1-8. doi: 10.4236/wet.2011.21001.

nullY. Joe, J. Essiben, E. Hedin, J. Bisse and J. Mаtаngа, "Optimization of Impedance Plane Reducing Coupling between Antennas,"

References

[1] G. Goussetis, A. P. Feresidis and J. C. G. Apostolopoulos, “Periodically Loaded 1-D Metallodielectric Electromagnetic Bandgap Structures for Miniaturization and Band- width Enhancement,” IEE Proceedings of Microwave Antennas Propagation, Vol. 151, No. 6, 2004, pp. 481- 484. doi:10.1049/ip-map:20040814

[2] C. C. Chiau, X. Chen and C. Parini, “Multiperiod EBG Structure for Wide Stopband Circuits,” IEE Proceedings of Microwave Antennas Propagation, Vol. 150, No. 6, 2003, pp. 489-492. doi:10.1049/ip-map:20031087

[3] N. C. Karmakar and M. N. Mollah, “Potential Applications of PBG Engineered Structures in Microwave Engineering: Part I,” Microwave Journal, Vol. 47, No. 7, 2004, pp. 22-44.

[4] B. I. Rumsey, Z. Popovic and M.P. May, “Surface-wave Guiding Using Periodic Structures,” IEEE APS-International Symposium Digest, Salt Lake City, 17-21 July 2000, pp. 342-345.

[5] D. Sievenpiper and E. Yablonovitch, “Eliminating Surface Currents with Metallodielectric Photonic Crystals,” IEEE International Microwave Symposium Digest, Baltimore, 7-12 June 1998, pp. 663-666.

[6] D. Sievenpiper, L. Zhang, R.F.J. Broas, N. G. Alexopolous and E. Yablonovitch, “High-Impedance Electromagnetic Surfaces with a Forbidden Frequency Band,” IEEE Transactions on Microwave Theory and Techniques, Vol. 47, No. 11, 1999, pp. 2059-2074. doi:10.1109/22.798001

[7] K. C. Chen, C. K. C. Tzuang, Y. Qian and T. Itoh, “Leaky Properties of Microstrip above a Perforated Ground Plane,” IEEE International Microwave Symposium Digest, Anaheim, 13-19 June 1999, pp. 69-72.

[8] A. Freni, C. Mias and R. L. Ferrari, “Hybrid Finite-Element Analysis of Electromagnetic Plane Wave Scattering from Axially Periodic Cylindrical Structures,” IEEE Transactions on Antennas and Propagation, Vol. 46, No. 12, 1998, pp. 1859-1866. doi:10.1109/8.743824

[9] P. S. Kildal, A. A. Kishk and A. Tengs, “Reduction of Forward Scattering from Cylindrical Objects Using Hard Surfaces,” IEEE Transactions on Antennas and Propagation, Vol. 38, No. 10, 1990, pp. 1537-1544. doi:10.1109/ 8.59765

[10] S. Benenson and A. I. Kurkchan, “Decoupling of Antennas by Means of Periodic Structures,” Radiotechnics and Electronics, Vol. 37, No. 12, 1995, pp. 77-89.

[11] K. K. Belostotskaya, M. A. Vasilyev and V. M. Legkov, “Spatial Decoupling between Antennas on Big Size Solids,” Radiotechnics, No. 10, 1986, pp. 77-79.

[12] V. N. Lavrushev and Y. E. Sedelnikov, “Construction of Antennas Taking into Account Decoupling Requirements,” Transactions of Higher Education Institutions, Radio Electronics, Vol. 23, No. 2, 1980, pp. 31-38.

[13] V. V. Martsafey and I. G. Shvayko, “Influence of Corrugated Structures on Interaction of Near-Omnidirectional Antennas,” Transactions of Higher Education Institutions, Radio Electronics, Vol. 24, No. 5, 1981, pp. 18-22.

[14] A. V. Kashin and V. I. Solovyov, “Research of Small- Sized on Interaction of Near-Omnidirectional Antennas, Located on a Circular Cylindrical Surface,” Transactions of Higher Education Institutions, Radio Electronics, No. 2, 1982, pp. 78-80.

[15] Yu. L. Lomukhin, S.D. Badmayev and N.B. Chimindorzhiev, “Decoupling of Antennas by the Edge of Conducting Semi-plane,” Radiotechnics, No. 8, 1985, pp. 47-50.

[16] V. V. Martsafey and M. A. Solodovnikov, “Synthesis of Near-Omnidirectional Antenna with an Increased Electromagnetic Compatibility,” Transactions of Higher Education Institutions, Radio Physics, Vol. 23, No. 10, 1980, pp. 1250-1255.

[17] A. G. Kurkchan, “Coupling between Antennas in the Presence of Corrugated Structures,” Radiotechnics and Electronics, Vol. 22, No. 7, 1977, pp. 1362-1373.

[18] O. N. Tereshin, V. M. Sedov and A. F. Chaplin, “Synthesis of Antennas on Decelerating Structures,” Communication Press, Moscow, 1980.

[19] Y. S. Joe, J.-F. D. Essiben and E. M. Cooney, “Radiation Characteristics of Waveguide Antennas Located on the Same Impedance Plane,” Journal of Physics D: Applied Physics, Vol. 41, No. 12, 2008, pp. (125503)1-11.

[20] V. G. Sharvarko, “Pointwise Synthesis in the Inverse Task of Scattering for an Impedance Cylinder,” Scattering of Electromagnetic Waves, Taganrog, Vol. 44, 1975, pp. 71-96.

[21] B. M. Petrov and V. G. Sharvarko, “Inverse Problem of Diffraction for an Impedance Cylinder,” Transactions of Higher Education Institutions, Radio Electronics. Vol. 18, No. 12, 1975, pp. 90-93.

[22] V. G. Sharvarko, “About the Realized Diagrams in Inverse Problem of Scattering for an Impedance Cylinder,” Scattering of Electromagnetic Waves, Taganrog, Vol. 44, 1975, pp. 87-96.

[23] B. M. Petrov and V. G. Sharvarko, “Approximated Solutions of Inverse Problem of Scattering for a Circular Impedance Cylinder,” Scattering of Electromagnetic Waves, Taganrog, Vol. 41, 1976, pp. 11-24.

[24] E. L. Stiefel, “Uber Diskrete Undlineare Tscheby-Scheff-Appproximation,” Numerische Mathematik, Vol. 1, 1959, pp. 1-28. doi:10.1007/BF01386369

[25] G. P. Grudinskaya, “Propagation of Radio Waves,” Higher School Press, Moscow, 1975.

[26] A. Y. Yukhanov, “Two-Dimensional Task of Impedance Plane Synthesis,” Radio Engineering Circuits, Signals and Devices, Taganrog, Vol. 45, 1998, pp. 92-95.

[1] G. Goussetis, A. P. Feresidis and J. C. G. Apostolopoulos, “Periodically Loaded 1-D Metallodielectric Electromagnetic Bandgap Structures for Miniaturization and Band- width Enhancement,” IEE Proceedings of Microwave Antennas Propagation, Vol. 151, No. 6, 2004, pp. 481- 484. doi:10.1049/ip-map:20040814

[2] C. C. Chiau, X. Chen and C. Parini, “Multiperiod EBG Structure for Wide Stopband Circuits,” IEE Proceedings of Microwave Antennas Propagation, Vol. 150, No. 6, 2003, pp. 489-492. doi:10.1049/ip-map:20031087

[3] N. C. Karmakar and M. N. Mollah, “Potential Applications of PBG Engineered Structures in Microwave Engineering: Part I,” Microwave Journal, Vol. 47, No. 7, 2004, pp. 22-44.

[4] B. I. Rumsey, Z. Popovic and M.P. May, “Surface-wave Guiding Using Periodic Structures,” IEEE APS-International Symposium Digest, Salt Lake City, 17-21 July 2000, pp. 342-345.

[5] D. Sievenpiper and E. Yablonovitch, “Eliminating Surface Currents with Metallodielectric Photonic Crystals,” IEEE International Microwave Symposium Digest, Baltimore, 7-12 June 1998, pp. 663-666.

[6] D. Sievenpiper, L. Zhang, R.F.J. Broas, N. G. Alexopolous and E. Yablonovitch, “High-Impedance Electromagnetic Surfaces with a Forbidden Frequency Band,” IEEE Transactions on Microwave Theory and Techniques, Vol. 47, No. 11, 1999, pp. 2059-2074. doi:10.1109/22.798001

[7] K. C. Chen, C. K. C. Tzuang, Y. Qian and T. Itoh, “Leaky Properties of Microstrip above a Perforated Ground Plane,” IEEE International Microwave Symposium Digest, Anaheim, 13-19 June 1999, pp. 69-72.

[8] A. Freni, C. Mias and R. L. Ferrari, “Hybrid Finite-Element Analysis of Electromagnetic Plane Wave Scattering from Axially Periodic Cylindrical Structures,” IEEE Transactions on Antennas and Propagation, Vol. 46, No. 12, 1998, pp. 1859-1866. doi:10.1109/8.743824

[9] P. S. Kildal, A. A. Kishk and A. Tengs, “Reduction of Forward Scattering from Cylindrical Objects Using Hard Surfaces,” IEEE Transactions on Antennas and Propagation, Vol. 38, No. 10, 1990, pp. 1537-1544. doi:10.1109/ 8.59765

[10] S. Benenson and A. I. Kurkchan, “Decoupling of Antennas by Means of Periodic Structures,” Radiotechnics and Electronics, Vol. 37, No. 12, 1995, pp. 77-89.

[11] K. K. Belostotskaya, M. A. Vasilyev and V. M. Legkov, “Spatial Decoupling between Antennas on Big Size Solids,” Radiotechnics, No. 10, 1986, pp. 77-79.

[12] V. N. Lavrushev and Y. E. Sedelnikov, “Construction of Antennas Taking into Account Decoupling Requirements,” Transactions of Higher Education Institutions, Radio Electronics, Vol. 23, No. 2, 1980, pp. 31-38.

[13] V. V. Martsafey and I. G. Shvayko, “Influence of Corrugated Structures on Interaction of Near-Omnidirectional Antennas,” Transactions of Higher Education Institutions, Radio Electronics, Vol. 24, No. 5, 1981, pp. 18-22.

[14] A. V. Kashin and V. I. Solovyov, “Research of Small- Sized on Interaction of Near-Omnidirectional Antennas, Located on a Circular Cylindrical Surface,” Transactions of Higher Education Institutions, Radio Electronics, No. 2, 1982, pp. 78-80.

[15] Yu. L. Lomukhin, S.D. Badmayev and N.B. Chimindorzhiev, “Decoupling of Antennas by the Edge of Conducting Semi-plane,” Radiotechnics, No. 8, 1985, pp. 47-50.

[16] V. V. Martsafey and M. A. Solodovnikov, “Synthesis of Near-Omnidirectional Antenna with an Increased Electromagnetic Compatibility,” Transactions of Higher Education Institutions, Radio Physics, Vol. 23, No. 10, 1980, pp. 1250-1255.

[17] A. G. Kurkchan, “Coupling between Antennas in the Presence of Corrugated Structures,” Radiotechnics and Electronics, Vol. 22, No. 7, 1977, pp. 1362-1373.

[18] O. N. Tereshin, V. M. Sedov and A. F. Chaplin, “Synthesis of Antennas on Decelerating Structures,” Communication Press, Moscow, 1980.

[19] Y. S. Joe, J.-F. D. Essiben and E. M. Cooney, “Radiation Characteristics of Waveguide Antennas Located on the Same Impedance Plane,” Journal of Physics D: Applied Physics, Vol. 41, No. 12, 2008, pp. (125503)1-11.

[20] V. G. Sharvarko, “Pointwise Synthesis in the Inverse Task of Scattering for an Impedance Cylinder,” Scattering of Electromagnetic Waves, Taganrog, Vol. 44, 1975, pp. 71-96.

[21] B. M. Petrov and V. G. Sharvarko, “Inverse Problem of Diffraction for an Impedance Cylinder,” Transactions of Higher Education Institutions, Radio Electronics. Vol. 18, No. 12, 1975, pp. 90-93.

[22] V. G. Sharvarko, “About the Realized Diagrams in Inverse Problem of Scattering for an Impedance Cylinder,” Scattering of Electromagnetic Waves, Taganrog, Vol. 44, 1975, pp. 87-96.

[23] B. M. Petrov and V. G. Sharvarko, “Approximated Solutions of Inverse Problem of Scattering for a Circular Impedance Cylinder,” Scattering of Electromagnetic Waves, Taganrog, Vol. 41, 1976, pp. 11-24.

[24] E. L. Stiefel, “Uber Diskrete Undlineare Tscheby-Scheff-Appproximation,” Numerische Mathematik, Vol. 1, 1959, pp. 1-28. doi:10.1007/BF01386369

[25] G. P. Grudinskaya, “Propagation of Radio Waves,” Higher School Press, Moscow, 1975.

[26] A. Y. Yukhanov, “Two-Dimensional Task of Impedance Plane Synthesis,” Radio Engineering Circuits, Signals and Devices, Taganrog, Vol. 45, 1998, pp. 92-95.