2014-09-12
A Modified Formula for Microwave Measurement of Dielectric Loss Using a Closed Cylindrical Cavity Dielectric Resonator
By
Progress In Electromagnetics Research Letters, Vol. 49, 39-44, 2014
Abstract
This paper provides a modified formula for calculating dielectric loss of dielectric resonator of working in TE01δ mode in closed cavity. The measurement system is divided into six regions with all electromagnetic field distributions given in each region. Based on analyzing the formula of loss tangent published in literatures, a quality factor of a substrate is created, and a modified formula is proposed. Validating the modified formula, with three substrates as supports, the frequencies and unloaded quality factors of dielectric resonators made of two sorts of dielectric materials with permittivity 38 and 75 respectively are measured using a closed cavity method. The measured results are compared with those obtained by other well-known formulas and show a good agreement with the result given by the parallel plate method.
Citation
Liangzu Cao, and Daming Cao, "A Modified Formula for Microwave Measurement of Dielectric Loss Using a Closed Cylindrical Cavity Dielectric Resonator," Progress In Electromagnetics Research Letters, Vol. 49, 39-44, 2014.
doi:10.2528/PIERL14071102
References

1. Fiedziuszko, S. J., I. C. Hunter, T. Itoh, et al. "Dielectric materials, devices, and circuits," IEEE Trans. Microwave Theory Tech., Vol. 50, No. 3, 706-720, Mar. 2002.
doi:10.1109/22.989956        Google Scholar

2. Sebastian, M. T., Dielectric Materials for Wireless Communications, Elsevier Ltd, USA, 2008.

3. Kajfezz, D. and P. Guillon, Dielectric Resonators, Noble Publishing Corporation, Tucker, Georgia, USA, 1998.

4. Sheen, J., "Comparisons of microwave dielectric property measurements by transmission/reflection techniques and resonance techniques," Meas. Sci. Technol., Vol. 20, 1-12, 2009.        Google Scholar

5. Krupka, J., "Precise measurements of the complex permittivity of dielectric materials at microwave frequencies," Materials Chemistry and Physics, Vol. 79, 195-198, 2003.
doi:10.1016/S0254-0584(02)00257-2        Google Scholar

6. Hakki, B. W. and P. D. Coleman, "A dielectric resonator method of measuring inductive capacities in the millimeter range," IRE Trans. Microwave Theory Tech., Vol. 8, No. 7, 402-410, 1960.
doi:10.1109/TMTT.1960.1124749        Google Scholar

7. Courtney, W. E., "Analysis and evaluation of a method of measuring complex permittivity and permeability of microwave materials," IEEE Trans. Microwave Theory Tech., Vol. 18, 476-485, 1970.
doi:10.1109/TMTT.1970.1127271        Google Scholar

8. Krupka, J., "Frequency domain complex permittivity measurements at microwave frequencies," Meas. Sci. Technol., Vol. 16, R1-R16, 2005.        Google Scholar

9. Krupka, J., K. Derzakowski, B. Riddle, and J. B. Jarvis, "A dielectric resonator for measurements of complex permittivity of low loss materials as a function of temperature," Meas. Sci. Technol., Vol. 9, 1751-1756, 1998.
doi:10.1088/0957-0233/9/10/015        Google Scholar

10. Cros, D. and P. Guillon, "Whispering gallery dielectric resonator modes for W-band devices," IEEE Microw. Theory Tech., Vol. 38, 1667-1674, 1990.
doi:10.1109/22.60014        Google Scholar

11. Krupka, J., D. Cros, M. Aubourg, and P. Guillon, "Study of whispering gallery modes in anisotropic single crystal dielectric resonators," IEEE Trans. Microwave Theory Tech., Vol. 42, 56-61, 1994.
doi:10.1109/22.265528        Google Scholar

12. Krupka, J., K. Derzakowski, A. Abramowicz, M. E. Tobar, and R. G. Geyer, "Whispering gallery modes for complex permittivity measurements of ultra low loss dielectric materials," IEEE Microw. Theory Tech., Vol. 47, 752-759, 1999.
doi:10.1109/22.769347        Google Scholar

13. Prakash, A., J. K. Vaid, and A. Mansingh, "Measurement of dielectric parameters at microwave frequencies by cavity perturbation technique," IEEE Trans. Microwave Theory Tech., Vol. 27, 791-795, 1979.
doi:10.1109/TMTT.1979.1129731        Google Scholar

14. Kobsyashi, Y. and M. Katon, "Microwave measurement of dielectric properties of low-loss materials by the dielectric rod resonator method," IEEE Trans. Microwave Theory Tech., Vol. 33, No. 7, 586-592, 1985.
doi:10.1109/TMTT.1985.1133033        Google Scholar

15. Cao, L. and D. Cao, "Fast measurement of complex permittivity of microwave dielectric materials using parallel short-circuit plate method," Journal of Ceramics, Vol. 33, No. 3, 80-84, 2012, in Chinese.        Google Scholar

16. Bonetti, R. and A. Atia, "Design of cylindrical dielectric resonators in inhomogeneous media," IEEE Trans. Microwave Theory Tech., Vol. 29, No. 4, 323-326, 1981.
doi:10.1109/TMTT.1981.1130351        Google Scholar

17. Itoh, T. and R. Rudokas, "New method for computing the resonant frequency of dielectric resonator," IEEE Trans. Microwave Theory Tech., Vol. 25, 52-54, 1977.
doi:10.1109/TMTT.1977.1129030        Google Scholar

18. Maystre, D., P. Vincent, and J. C. Mage, "Theoretical and experimental study of the resonant frequency of a cylindrical dielectric resonator," IEEE Trans. Microwave Theory Tech., Vol. 31, 844-848, 1983.
doi:10.1109/TMTT.1983.1131616        Google Scholar

19. Zaki, K. A. and A. Atia, "Modes in dielectric-loaded waveguides and resonators," IEEE Trans. Microwave Theory Tech., Vol. 31, 1039-1045, 1983.
doi:10.1109/TMTT.1983.1131658        Google Scholar

20. Sheen, J., "Microwave measurements of dielectric properties using a closed cylindrical cavity dielectric resonator," IEEE DEI, Vol. 14, No. 15, 1139-1144, 2007.
doi:10.1109/TDEI.2007.4339473        Google Scholar

21. Sheen, J., C. A. Chen, Y. H. Chen, et al. "Microwave measurements of dielectric properties — A further study to a new theoretical model for a closed cylindrical cavity dielectric resonator," IEEE DEI, Vol. 14, No. 12, 3874-3877, 2007.        Google Scholar

22. Cao, L. and D. Cao, "Study of parameter Dielectric measurement of microwave dielectric materials by the closed cavity method," Electronic Components and Materials, Vol. 30, No. 12, 9-12, 2011, in Chinese.        Google Scholar

23. Zhou, D., M. Hu, S. Jiang, et al. "Microwave measurement of dielectric properties of ceramics by the closed cavity resonator method," J. Huazhong University of Sci. & Tech. (Nature Science Edition), Vol. 32, No. 8, 50-53, 2004, in Chinese.        Google Scholar

24. Ni, E., Measurement of Microwave Dielectric Resonator, People’s Posts and Telecommunications Press, Beijing, China, 2006.

25. Gu, J., Dielectric Resonator Microwave Circuit, People’s Posts and Telecommunications Press, Beijing, China, 1986.