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IEEE Transactions on Microwave Theory and Techniques
Volume 48 Number 6, June 2000

Table of Contents for this issue

Complete paper in PDF format

Full-Wave Analysis of Circular Microstrip Resonators in Multilayered Media Containing Uniaxial Anisotropic Dielectrics, Magnetized Ferrites, and Chiral Materials

Vicente Losada, Rafael R. Boix, Member, IEEE and Manuel Horno Member, IEEE

Page 1057.

Abstract:

In this paper, Galerkin's method in the Hankel transform domain is applied to the determination of the resonant frequencies, quality factors,and radiation patterns of circular microstrip patch resonators. The metallic patches are assumed to be embedded in a multilayered substrate, which may contain uniaxial anisotropic dielectrics, magnetized ferrites, and/or chiral materials. The numerical results obtained show that important errors can be made in the computation of the resonant frequencies of the resonators when substrate dielectric anisotropy, substrate magnetic anisotropy and/or substrate chirality are ignored. Also, it is shown that the resonant frequencies of circular microstrip resonators on magnetized ferrites can be tuned over a wide frequency range by varying the applied bias magnetic field. Finally,the computed results show that the resonance and radiation properties of a circular microstrip patch on a chiral material is very similar to those of a circular patch of the same size printed on a nonchiral material of lower permittivity.

References

  1. J. R. James and P. S. Hall, Handbook of Microstrip Antennas, Stevenage: U.K.: Peregrinus, 1989.
  2. K. A. Michalski and D. Zheng, "Analysis of microstrip resonators of arbitrary shape", IEEE Trans. Microwave Theory Tech., vol. 40, pp.  112-119, Jan.  1992.
  3. A. Bhattacharayya and T. Tralman, "Effects of dielectric superstrate on patch antennas", Electron. Lett., vol. 24, no. 6, pp.  356-358, 1988.
  4. N. G. Alexopoulos, "Integrated-circuit structures on anisotropic substrates", IEEE Trans. Microwave Theory Tech., vol. MTT-33, pp.  847-881, Oct.  1985.
  5. D. M. Pozar, "Radiation and scattering from a microstrip patch on a uniaxial substrate", IEEE Trans. Antennas Propagat., vol. AP-35, pp.  613-621, June  1987.
  6. D. M. Pozar and V. Sanchez, "Magnetic tuning of a microstrip antenna on a ferrite substrate", Electron. Lett., vol. 24, no. 12, pp.  729-731, 1988.
  7. D. M. Pozar, "Radar cross-section of microstrip antenna on normally biased ferrite substrate", Electron. Lett., vol. 25, no.  16, pp.  1079-1080, 1989.
  8. H. Y. Yang, J. A. Castaneda and N. G. Alexopoulos, "Multifunctional and low RCS nonreciprocal microstrip antennas", Electromag., vol. 12, pp.  17-31, 1992 .
  9. D. M. Pozar, "Radiation and scattering characteristics of microstrip antennas on normally biased ferrite substrates", IEEE Trans. Antennas Propagat., vol. 40, pp.  1084-1092, Sept.  1992.
  10. N. E. Buris, T. B. Funk and R. S. Silverstein, "Dipole arrays printed on ferrite substrates", IEEE Trans. Antennas Propagat., vol. 41, pp.  165-175, Feb.  1993.
  11. I. V. Lindell, A. H. Sihvola, S. A. Tretyskov and A. J. Vitanen, Electromagnetic Waves in Chiral and Bi-isotropic Media, Norwood, MA: Artech House, 1994.
  12. D. M. Pozar, "Microstrip antennas and arrays on chiral substrates", IEEE Trans. Antennas Propagat., vol. 40, pp.  1260-1263, Oct.  1992.
  13. A. Toscano and L. Vegni, "A new efficient moment method formulation for the design of microstrip antennas over a chiral grounded slab", J. Electromag. Waves Applicat., vol. 11, no. 5, pp.  567-592, 1997.
  14. W. C. Chew and J. A. Kong, "Resonance of the axial-symmetric modes in microstrip disk resonators", J. Math. Phys., vol. 21, pp.  582-591, Mar.  1980.
  15. W. C. Chew and J. A. Kong, "Resonance of nonaxial symmetric modes in circular microstrip disk antenna", J. Math. Phys., vol. 21, pp.  2590-2598,  Oct.  1980.
  16. K. Araki and T. Itoh, "Hankel transform domain analysis of open circular microstrip radiating structures", IEEE Trans. Antennas Propagat., vol.  AP-29, pp.  84-89, Jan.  1981.
  17. R. M. Nelson, D. A. Rogers and A. G. D'Assuncao, "Resonant frequency of a rectangular microstrip patch on several uniaxial substrates", IEEE Trans. Antennas Propagat., vol. AP-38, pp.  973-981, July  1990.
  18. T. Q. Ho, B. Beker, Y. C. Shih and Y. Chen, "Microstrip resonators on anisotropic substrates", IEEE Trans. Microwave Theory Tech., vol. 40, pp.  762-765, Apr.  1992.
  19. K. L. Wong, J. S. Row, C. W. Kuo and K. C. Huang, "Resonance of a rectangular microstrip patch on a uniaxial substrate", IEEE Trans. Microwave Theory Tech., vol. 41, pp.  698-701, Apr.  1993.
  20. Z. Cai and J. Bornemann, "Rigorous analysis of radiation properties of lossy patch resonators on complex anisotropic media and lossy ground metallization", IEEE Trans. Antennas Propagat., vol. 42, pp.  1443-1446, Oct.  1994.
  21. K. Araki, D. I. Kim and Y. Naito, "A study on circular disk resonators on a ferrite substrate", IEEE Trans. Microwave Theory Tech., vol. MTT-30, pp.  147-154, Feb.  1982.
  22. H. How, T. M. Fang and C. Vittoria, "Intrinsic modes of radiation in ferrite patch antennas", IEEE Trans. Microwave Theory Tech., vol. 42, pp.  988-994, June  1994.
  23. D. M. Pozar, Microwave Engineering, Reading, MA: Addison-Wesley, 1990.
  24. V. Losada, R. R. Boix and M. Horno, "Resonant modes of circular microstrip patches in multilayered substrates", IEEE Trans. Microwave Theory Tech., vol. 47, pp.  488-498, Apr.  1999.
  25. F. L. Mesa, R. Marques and M. Horno, "A general algorithm for computing the bidimensional spectral Green's dyad in multilayered complex bianisotropic media: The equivalent boundary method", IEEE Trans. Microwave Theory Tech., vol. 39, pp.  1640-1649, Sept.  1991.
  26. R. E. Colin, Antennas and Radiowave Propagation, New York: McGraw-Hill, 1985.
  27. V. Losada, R. R. Boix and M. Horno, "Analysis of circular stripline resonators on normally biased ferrite substrates", IEEE Microwave Guided Wave Lett., vol. 8, pp.  226-228, June  1998.
  28. R. R. Boix, N. G. Alexopoulos and M. Horno, "Efficient numerical computation of the spectral traverse dyadic Green's function in stratified anisotropic media", J. Electromag. Waves Applicat., vol. 10, no. 8, pp.  1047-1083, 1996.