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.

Keywords: Coupling, Design Optimization, Pointwise Synthesis

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.

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.