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An Improvement of Closed-Form Formula for Mutual Impedance Computation

  • Son, Trinh-Van (Division of Electronics and Electrical Engineering, Dongguk University) ;
  • Hwang, Keum Cheol (Division of Electronics and Electrical Engineering, Dongguk University) ;
  • Park, Joon-Young (Core Technology Group, Samsung Thales) ;
  • Kim, Seon-Joo (3rd R&D Institute, Agency for Defense Development) ;
  • Shin, Jae-Ho (Division of Electronics and Electrical Engineering, Dongguk University)
  • Received : 2013.11.13
  • Accepted : 2013.12.11
  • Published : 2013.12.31

Abstract

In this paper, we present an improvement of a closed-form formula for mutual impedance computation. Depending on the center-to-center spacing between two rectangular microstrip patch antennas, the mutual impedance formula is separated into two parts. The formula based on synthetic asymptote and variable separation is utilized for spacings of more than 0.5 ${\lambda}_0$. When the spacing is less than 0.5 ${\lambda}_0$, an approximate formula is proposed to improve the computation for closely spaced elements. Simulation results are compared to computational results of mutual impedances and mutual coupling coefficients as functions of normalized center-to-center spacing in both E- and H-plane coupling configurations. A good agreement between simulation and computation is achieved.

Keywords

References

  1. D. M. Pozar, "Input impedance and mutual coupling of rectangular microstrip antennas," IEEE Transactions on Antennas and Propagation, vol. 30, no. 6, pp. 1191-1196, Nov. 1982. https://doi.org/10.1109/TAP.1982.1142934
  2. E. Van Lil and A. Van de Capelle, "Transmission line model for mutual coupling between microstrip antennas," IEEE Transactions on Antennas and Propagation, vol. 32, no. 8, pp. 816-821, Aug. 1984. https://doi.org/10.1109/TAP.1984.1143416
  3. M. Malkomes, "Mutual coupling between microstrip patch antennas," IEEE Electronics Letters, vol. 18, no. 12, pp. 520-522, Jun. 1982. https://doi.org/10.1049/el:19820353
  4. Y. X. Sun, Y. L. Chow, and D. G. Fang, "Mutual impedance formula between patch antennas based on synthetic asymptote and variable separation," Microwave and Optical Technology Letters, vol. 35, no. 6, pp. 466-470, Dec. 2002. https://doi.org/10.1002/mop.10640
  5. Y. P. Xi, D. G. Fang, Y. X. Sun, and Y. L. Chow, "Mutual coupling in finite microstrip patch arrays," Microwave and Optical Technology Letters, vol. 44, no. 6, pp. 577-581, Mar. 2005. https://doi.org/10.1002/mop.20701
  6. H. Wang, D. G. Fang, B. Chen, X. Tang, Y. L. Chow, and Y. Xi, "An effective analysis method for electrically large finite microstrip antenna arrays," IEEE Transactions on Antennas and Propagation, vol. 57, no. 1, pp. 94-101, Jan. 2009. https://doi.org/10.1109/TAP.2008.2009669
  7. M. A. Khayat, J. T. Williams, D. R. Jackson, and S. A. Long, "Mutual coupling between reduced surface-wave microstrip antennas," IEEE Transactions on Antennas and Propagation, vol. 48, no. 10, pp. 1581-1593, Oct. 2000. https://doi.org/10.1109/8.899675

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