Derivation of the Resonant Frequency of Rectangular Dielectric Resonator Antenna by the Perturbation Theory
Keywords:
Dielectric waveguide model, dielectric resonator antenna, perturbation theory, Q-factor, resonant frequencyAbstract
Based on the concept of perturbation theory, a modification to the dielectric waveguide model (DWM) is presented for the calculation of resonant frequency of rectangular dielectric resonator antenna (DRA). A large number of simulations are performed using commercial software and the results are compared between those of the DWM and the proposed method. Finally, the accuracy of proposed method is validated by the experimental data available in the literature. Differences between the measured and theoretical resonant frequencies vary by less than 2%.
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References
S. Fakhte, H. Oraizi, and M. H. Vadjed-Samiei, “A high gain dielectric resonator loaded patch antenna,” Progress In Electromagnetics Research C, vol. 30, pp. 147-158, 2012.
S. Fakhte, H. Oraizi, R. Karimian, and R. Fakhte, “A new wideband circularly polarized stair-shaped dielectric resonator antenna,” IEEE Trans. Antennas Propag., vol. 63, no. 4, pp. 1828-1832, Apr. 2015.
S. Fakhte, H. Oraizi, and R. Karimian, “A novel low cost circularly polarized rotated stacked dielectric resonator antenna,” IEEE Antennas and Wireless Propag. Lett., vol. 13, pp. 722-725, Apr. 2014.
K. W. Leung, E. H. Lim, and X. S. Fang, “Dielectric resonator antennas: From the basic to the aesthetic,” Proc. IEEE, vol. 100, no. 7, pp. 2181-2193, July 2012.
A. Petosa and A. Ittipiboon, “Dielectric resonator antennas: A historical review and the current state of the art,” IEEE Antennas and Propagation Magazine, vol. 52, no. 5, pp. 91-116, Oct. 2010.
Q. Lai, G. Almpanis, C. Fumeaux, H. Benedickter, and R. Vahldieck, “Comparison of the radiation efficiency for the dielectric resonator antenna and the microstrip antenna at Ka band,” IEEE Trans. Antennas and Propag., vol. 56, no. 11, pp. 3589- 3592, 2008.
D. Kajfez and P. Guillon, Eds., Dielectric Resonators. Artech House, Norwood, MA, 1986.
A. W. Glisson, D. Kajfez, and J. James, “Evaluation of modes in dielectric resonators using a surface integral equation formulation,” IEEE Trans. Microwave Theory Tech., vol. 31, pp. 1023-1029, 1983.
A. A. Kishk, M. R. Zunoubi, and D. Kajfez, “A numerical study of a dielectric disk antenna above grounded dielectric substrate,” IEEE Trans. Antennas Propagat., vol. 41, pp. 813-821, 1993.
R. K. Mongia and A. Ittipiboon, “Theoretical and experimental investigations on rectangular dielectric resonator antennas,” IEEE Trans. Antennas Propag., vol. 45, no. 9, pp. 1348-1356, Sept. 1997.
C. Trueman, et al., “Computation and measurement of the resonant frequencies and Q-factors of high permittivity dielectric resonators,” Symposium on Antenna Technology and Applied Electromagnetics ANTEM 94 Digest, Ottawa, Canada, pp. 395-402, Aug. 1994.
Y. M. M. Antar, D. Cheng, G. Seguin, B. Henry, and M. G. Keller, “Modified waveguide model (MWGM) for rectangular dielectric resonator antenna (DRA),” Microwave and Optical Technology Letters, vol. 19, no. 2, pp. 158-160, Oct. 1998.
J. A. Kong, Electromagnetic Wave Theory. Wiley Interscience, 1990.
C. W. Trueman, S. R. Mishra, C. L. Larose, and R. K. Mongia, “Resonant frequencies and Q factors of dielectric parallelepipeds,” IEEE Transactions Instrumentation and Measurement, vol. 44, pp. 322-325, 1995.
R. K. Mongia, A. Ittibipoon, and M. Cuhaci, “Low profile dielectric resonator antennas using a very high permittivity material,” Electron. Lett., vol. 30, no. 17, pp. 1362-1363, 1994.
Y. Liu, H. Liu, M. Wei, and S. Gong, “A lowprofile and high-permittivity dielectric resonator antenna with enhanced bandwidth,” IEEE Antennas and Wireless Propag. Lett., vol. 14, pp. 791-794, Mar. 2015.
R. K. Mongia, “Theoretical and experimental resonant frequencies of rectangular dielectric resonators,” IEE Proc.-H, vol. 139, pp. 98-104, 1992.
S. Maity and B. Gupta, “Closed form expressions to find radiation patterns of rectangular dielectric resonator antennas for various modes,” IEEE Trans. Antenna and Propag., vol. 62, no. 12, pp. 6524-6527, Oct. 2014.
A. Petosa, Dielectric Resonator Antenna Handbook. Norwood, MA, Artech House, 2007.
