volume | PIER Journals

Abstract

In this paper, empirical relations for the evaluation of both the resonant frequency fr and the quality factor Q for the dominant TM₀₁₀ mode of a circular substrate integrated waveguide (SIW) cavity resonator are proposed and validated. These formulas are based on well established analytical expressions valid for the case of circular metallic cavity resonator, in which an equivalent radius R_eq, empirically derived, is employed. Their effectiveness is demonstrated by comparing the empirical predictions with the full wave results.

1. Bozzi, M., A. Georgiadis, and K. Wu, "Review of substrate integrated waveguide (SIW) circuits and antennas," IET Microwave Antennas and Propagation, Vol. 5, No. 8, 909-920, 2011. Google Scholar

2. Zheng, B., Z. Zhao, and Y. Lv, "A K-band SIW filter with bypass coupling substrate integrated circular cavity (SICC) to improved stopband performance for satellite communication," Progress In Electromagnetics Research C, Vol. 17, 95-104, 2010. Google Scholar

3. Amendola, G., E. Arnieri, L. Boccia, and V. Ziegler, "Annular ring slot radiating element for integrated millimeter wave arrays," Proceedings of 6th European Conference on Antennas and Propagation, EuCAP 2012, 3082-3085, 2012. Google Scholar

4. Khalichi, B., S. Nikmehr, and A. Pourziad, "Reconfigurable SIW antenna based on RF-MEMS switches," Progress In Electromagnetics Research, Vol. 142, 189-205, 2013. Google Scholar

5. Cheng, Y. J., "Substrate integrated waveguide frequency-agile slot antenna and its multibeam application," Progress In Electromagnetics Research, Vol. 130, 153-168, 2012. Google Scholar

6. Jedrzejewski, A., N. Leszczynska, L. Szydlowski, and M. Mrozowski, "Zero-pole approach to computer aided design of in-line SIW filters with transmission zeros," Progress In Electromagnetics Research, Vol. 131, 517-533, 2012. Google Scholar

7. Huang, Y., Z. Shao, and L. Liu, "A substrate integrated waveguide bandpass filter using novel defected ground structure shape," Progress In Electromagnetics Research, Vol. 135, 201-213, 2013. Google Scholar

8. Amendola, G., G. Angiulli, E. Arnieri, and L. Boccia, "Computation of the resonant frequency and quality factor of lossy substrate integrated waveguide resonators by method of moments," Progress In Electromagnetics Research Letters, Vol. 40, 107-117, 2013. Google Scholar

9. Arnieri, E. and G. Amendola, "Analysis of substrate integrated waveguide structure based on the parallel-plate waveguide Green's function," IEEE Transactions on Microwave Theory and Techniques, Vol. 56, No. 7, 1615-1623, 2008. Google Scholar

10. Amendola, G., E. Arnieri, and L. Boccia, "Analysis of lossy SIW structures based on the parallel plates waveguide Green's function," Progress In Electromagnetics Research C, Vol. 33, 157-159, 2012. Google Scholar

11. Amendola, G., G. Angiulli, E. Arnieri, and L. Boccia, "Resonant frequencies of circular substrate integrated resonators," IEEE Microwave and Wireless Components Letters, Vol. 18, No. 4, 239-241, 2008. Google Scholar

12. Angiulli, G., E. Arnieri, D. De Carlo, and G. Amendola, "Fast nonlinear eigenvalues analysis of arbitrarily shaped substrate integrated waveguide (SIW) resonators," IEEE Transactions on Magnetics, Vol. 45, No. 3, 1412-1415, 2009. Google Scholar

13. Angiulli, G., "Design of square substrate waveguide cavity resonators: Compensation of modelling errors by support vector regression machines," American Journal of Applied Sciences, Vol. 9, No. 11, 1872-1875, 2012. Google Scholar

14. Angiulli, G., D. De Carlo, G. Amendola, E. Arnieri, and S. Costanzo, "Support vector regression machines to evaluate resonant frequency of elliptic substrate integrate waveguide resonators," Progress In Electromagnetics Research, Vol. 83, 107-118, 2008. Google Scholar

15. Amendola, G., G. Angiulli, E. Arnieri, L. Boccia, and D. De Carlo, "Characterization of lossy SIW resonators based on multilayer perceptron neural networks on graphics processing unit," Progress In Electromagnetics Research C, Vol. 42, 1-11, 2013. Google Scholar

16. Domenech-Asensi, G., J. Hinojosa, J. Martinez-Alajarin, and J. Garrigos-Guerrero, "Empirical model generation techniques for planar microwave component using electromagnetic linear regression models," IEEE Transactions on Microwave Theory and Techniques, Vol. 53, No. 11, 3305-3311, 2005. Google Scholar

17. Pozar, D., Microwave Engineering, 4rd Edition, Wiley, 2011.

18. Harrington, R., Time-harmonic Electromagnetic Fields, IEEE Press, 2001.

19. Angiulli, G., "On the computation of nonlinear eigenvalues in electromagnetics problems," Journal of Electromagnetic Waves and Applications, Vol. 21, No. 4, 527-532, 2007. Google Scholar

20. Cassivi, Y., L. Perregrini, P. Arcioni, M. Bressan, K. Wu, and G. Conciauro, "Dispersion characteristics of substrate integrated rectangular waveguide," IEEE Microwave and Wireless Components Letters, Vol. 12, No. 9, 333-335, 2002. Google Scholar

21. Rawlings, J., S. G. Pantula, and D. A. Dickey, Applied Regression Analysis: A Research Tool, Springer, 1998.

22. Che, W., D. Wang, L. Xu, and C. Li, "Investigation on quality factor of substrate-integrated waveguide resonance cavity," Microwave and Optical Technology Letters, Vol. 49, No. 8, 2007-2010, 2007. Google Scholar

23. Zelenchuk, D. E., V. Fusco, G. Goussetis, A. Mendez, and D. Linton, "Millimeter-wave printed circuit board characterization using substrate integrated waveguide resonators," IEEE Transactions on Microwave Theory and Techniques, Vol. 60, No. 10, 3300-3308, 2012. Google Scholar

Dr. Giandomenico Amendola

Dr. Giovanni Angiulli

Dr. Emilio Arnieri

Dr. Luigi Boccia

Dr. Domenico De Carlo