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IEEE Microwave and Guided Wave Letters
Volume 10 Number 4, April 2000

Table of Contents for this issue

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Dimensional Analysis of Two-Layer Spherical Dielectric Resonator

K. W. Leung, Member, IEEE and K. K. So

Page 139.

Abstract:

Dimensional analysis is used to study the complex resonance of a two-layer spherical dielectric resonator (DR). In the analysis, the various dimensionless products, or Pi terms, of the system are found. From the Pi theorem, the Pi terms are related to one another by a function, which is found using the curve-fitting technique in this paper. For demonstration, the fundamental TE mode, the TE111 mode, of a spherical DR is investigated. Simple formulas for the resonant frequency and Q-factor are obtained. The results are compared with the exact solutions and excellent agreement is obtained.

References

  1. S. A. Long, M. W. Mcallister and L. C. Shen, "The resonant cylindrical dielectric cavity antenna", IEEE Trans. Antennas Propagat., vol. AP-31, pp.  406-412,  May  1983.
  2. K. W. Leung, K. M. Luk, K. Y. A. Lai and D. Lin, "Theory and experiment of probe fed dielectric resonator antenna", IEEE Trans. Antennas Propagat., vol. 41, pp.  1390-1398,  Oct.  1993.
  3. K. L. Wong, N. C. Chen and H. T. Chen, "Analysis of a hemisphere dielectric resonator antenna with an airgap", IEEE Microwave Guided Wave Lett., vol. 3, pp.  355-357,  Oct.  1993.
  4. A. Julien and P. Guillon, "Electromagnetic analysis of spherical dielectric shielded resonators", IEEE Trans. Microwave Theory Tech., vol. MTT-34, pp.  723-729, June  1986.
  5. M. Gastine, L. Courtois and J. Dormann, "Electromagnetic resonances of free dielectric spheres", IEEE Trans. Microwave Theory Tech., vol. MTT-15, pp.  694-700, 1967.
  6. C.-C. Chen, "Electromagnetic resonances of immersed dielectric spheres", IEEE Trans. Antennas Propagat., vol. 46, pp.  1704-1803, July  1998.
  7. D. Taylor, A. K. Jordon, P. J. Moser and H. Uberall, "Complex resonances of conducting spheres with lossy coatings", IEEE Trans. Antennas Propagat., vol. 38, pp.  236-240,  Feb.  1990.
  8. R. Bhandari, "Scattering coefficients for a multilayered sphere: Analytic expressions and algorithms", Appl. Opt., vol. 24, pp.  1960-1967,  July  1985.
  9. D.-S. Wang, "Asymptotic behavior of the scattering solutions for a multilayered sphere", IEEE Trans. Antennas Propagat., vol. 36, pp.  1594-1601,  Nov.  1988.
  10. A. L. Aden and M. Kerker, "Scattering of electromagnetic waves from two concentric spheres", J. Appl. Phys., vol. 22, pp.  1242-1246, 1951.
  11. M. Zlokarnik, Dimensional Analysis and Scale-Up in Chemical Engineering, Berlin: Springer-Verlag, 1991.
  12. M. Y. Mah, L. L. Liou, R. L. Ewing and A. M. Ferendeci, "Design methodology of microstrip lines using dimensional analysis", IEEE Microwave Guided Wave Lett., vol. 8, pp.  248-250,  July  1998.