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IEEE Transactions on Microwave Theory and Techniques
Volume 48 Number 1, January 2000
Table of Contents for this issue
Complete paper in PDF format
An Efficient Full-Wave Method
for Analysis of Dielectric Resonators Possessing Separable
Geometries Immersed in Inhomogeneous Environments
Shu-Li Lin and George W. Hanson
Senior Member, IEEE
Page 84.
Abstract:
In this paper, dielectric resonators possessing separable-coordinate
geometries immersed in planarly-inhomogeneous media are analyzed using a volume
electric-field integral-equation (IE)/Galerkin's technique. A three-dimensional
complete entire-domain basis function set is utilized in numerically solving
the IE. It is shown that a few terms of one physically significant subset
of basis functions are usually sufficient for the accurate determination of
complex resonant frequencies of cylindrical and rectangular resonators immersed
in homogeneous and planarly inhomogeneous environments. The results using
a few basis functions show good agreement with the previous literature, and
new results are presented for some rectangular resonator geometries.
References
-
R.
Mongia and P.
Bhartia, "Dielectric resonator antennas-A review
and general design relations for resonant frequencies and bandwidth",
Int. J. Microwave Millimeter-Wave Eng., vol. 4, pp.
230- 347, July 1994.
-
A.
Glisson, D.
Kajfez and J.
James, "Evaluation of mode in dielectric resonators
using a surface integral equation formulation",
IEEE Trans. Microwave Theory Tech., vol. MTT-31, pp. 1023- 1029, Dec. 1983.
-
J.
Pereda, L.
Vielva, A.
Vegas and A.
Prieto, "Computation of resonant frequencies and quality
factors of open dielectric resonators by a combination of finite-difference
time domain (FDTD) and Prony's methods", IEEE Microwave Guided Wave Lett., vol. 2, pp. 431- 433, Nov. 1992.
-
A.
Navarro and M. J.
Nunez, "FDTD method coupled with FFT: A generalization
to open cylindrical devices", IEEE Trans. Microwave Theory Tech., vol. 42, pp. 870- 874, May 1994.
-
W.
Zheng, "Computation of complex resonance frequencies
of isolated composite objects", IEEE Trans. Microwave Theory Tech., vol. 37, pp. 953- 961, June 1989.
-
R.
Mongia, C.
Larose, S.
Mishra and P.
Bhartia, "Accurate measurement of Q
-factors of isolated dielectric resonators",
IEEE Trans.
Microwave Theory Tech., vol. 42, pp. 1463- 1466, Aug 1994
.
-
R. E Collin,
Field Theory of Guided Waves,
New York: : IEEE Press, 1991.
-
S. M.
Shum and K. M.
Luk, "Analysis of aperture coupled rectangular dielectric
resonator antenna", Electron. Lett., vol. 30, no. 21, pp.
1726- 1727, Oct. 1994.
-
R. W.
Lyon and J.
Helszajn, "Finite element analysis of planar circulators
using arbitrarily shaped resonators",
IEEE Trans. Microwave Theory Tech., vol. MTT-30, pp. 1964- 1974, Nov. 1982.
-
R.
Mongia and A.
Ittiiboon, "Theoretical and experimental investigation
of rectangular dielectric resonator antennas", IEEE Trans. Antenna Propagat., vol. 45, pp. 1348- 1356, Sept. 1997.
-
C. A. Balanis,
Advanced Engineering Electromagnetics, New York : Wiley, 1989.
-
V. H.
Rumsey, "The reaction concept in electromagnetic theory
", Phys. Rev., vol. 94, pp. 1483-
1491, June 1954.
-
E. W. Blumbergs,
"Integral equation formulation for natural modes of a circular patch
antenna in layered environment", Ph.D. dissertation, Dept. Elect. Eng., Michigan State Univ., Ann Arbor
, MI, 1989.
-
S.-L. Lin, "
Propagation characteristics of anisotropic dielectric waveguides in the bound
and leaky regimes", Ph.D. dissertation,
Dept. Elect. Eng. Comput. Sci., Univ. Wisconsin at Milwaukee,
Milwaukee, WI, 1995.
-
W. C. Chew,
Waves and Fields in Inhomogeneous Media, New York : Van Nostrand
, 1990, pp. 118-120.
-
E. H.
Newman and D.
Forrai, "Scattering from a microstrip patch",
IEEE Trans. Antenna Propagat., vol. AP-35, pp. 245- 251, Mar. 1987
.
-
W. H. Press,
S. A. Teukolsky,
W. T. Vetterling and B. P. Flannery
,
Numerical Recipes, Cambridge U.K. : Cambridge
Univ. Press, 1992, p. 134.
-
D. G.
Dudley, "Comments on variational nature of Galerkin
and non-Galerkin moment method solutions", IEEE Trans. Antenna Propagat., vol. 45, pp. 1062- 1063, June 1997.
-
A. F.
Peterson, D. R.
Wilton and R. E.
Jorgenson, "Variational nature of Galerkin
and non-Galerkin moment method solutions", IEEE Trans. Antenna Propagat., vol. 44, pp. 500- 503, Apr. 1996.
-
I. V.
Lindell, "Variational methods for nonstandard eigenvalue
problems in waveguide and resonator analysis",
IEEE Trans. Microwave Theory Tech., vol. MTT-30, pp. 1194- 1204, Aug. 1982.
-
A. W.
Glisson, "Integral equation techniques," in
Dielectric Resonators D. Kajfez, and P. Guillon, Eds.
Norwood, MA : Artech House, 1986, ch. 6.
-
K. Walters,
, private communication, June 1998.
-
S.
Maj and J. W.
Modelski, "Application of a dielectric resonator on
microstrip line for a measurement of complex permittivity",
in IEEE MTT-S
Int. Microwave Symp. Dig., 1984, pp. 525- 527.
-
M.
Jaworski and M. W
Pospieszalski, "An accurate solution of the
cylindrical dielectric resonator problem",
IEEE Trans. Microwave Theory Tech., vol. MTT-27, pp. 639- 643, July 1979.
-
J.-M.
Guan and C.-C.
Su, "Precise computations of resonant frequencies and
quality factors for dielectric resonators in MIC's with tuning elements",
IEEE Trans. Microwave Theory Tech., vol. 45, pp. 439
- 442, Mar. 1997.
-
R. K.
Mongia, "Resonant frequency of cylindrical dielectric
resonator placed on MIC environment", IEEE Trans. Microwave Theory Tech., vol. 38, pp. 802- 804, June 1990.
-
J.
Van Bladle, "Weakly coupled dielectric resonators",
IEEE Trans. Microwave Theory Tech., vol. MTT-30, pp. 1907
- 1914, Nov. 1982.
-
W.
Zhang, "Direct and inverse resonance problems for shielded
composite objects treated by means of the null-field method",
IEEE Trans.
Microwave Theory Tech., vol. 37, pp. 1732- 1739, Nov. 1989
.