volume | PIER Journals

Abstract

This paper presents a technique for the efficient and accurate determination of resonant frequencies and quality factors of Substrate Integrated Waveguide (SIW) resonators. To consider resonators of a general shape the SIW structure is modelled as a parallel plate waveguide populated with metalized via holes. The field into the SIW cavity is found solving the scattering problem for the set of vias into the parallel plate. Resonances are determined searching for the complex frequencies for which the determinant of the system of equations pertinent to the scattering is zero. To speed up the search, a first guess for the resonance frequency is found using an estimate of the minimum singular value of the system of equations. A Muller search in the complex plane is later used to accurately determine both frequencies and quality factors. Results relevant to resonators of various shapes are presented and compared with results obtained with a commercial code.

1. Wang, R., L.-S. Wu, and X.-L. Zhou, "Compact folded substrate integrated waveguide cavities and bandpass filter," Progress In Electromagnetics Research, Vol. 84, 135-147, 2008.
doi:10.2528/PIER08071501 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.
doi:10.2528/PIERC10092403 Google Scholar

3. Boccia, L., A. Emanuele, E. Arnieri, A. Shamsafar, and G. Amendola, "Substrate integrated power combiners," Proceedings of 6th European Conference on Antennas and Propagation, EuCAP 2012, 3631-3634, Prague, Czech Republic, 2012. Google Scholar

4. Russo, I., L. Boccia, G. Amendola, and H. Schumacher, "Compact hybrid coaxial architecture for 3 GHz-10 GHz UWB quasi-optical power combiners," Progress In Electromagnetics Research, Vol. 122, 77-92, 2012.
doi:10.2528/PIER11101704 Google Scholar

5. 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.
doi:10.1109/EuCAP.2012.6206468 Google Scholar

6. Cheng, Y. J., W. Hong, K. Wu, Z. Q. Kuai, C. Yu, J. X. Chen, J. Y. Zhou, and H. J. Tang, "Substrate integrated waveguide (SIW) rotman lens and its Ka-band multibeam array antenna applications," IEEE Transactions on Antennas and Propagation, Vol. 56, 2504-2513, 2008.
doi:10.1109/TAP.2008.927567 Google Scholar

7. Ansys, Ansoft HFSS, , Canonsburg, PA, Ver. 14, Ansys Corporation, 2012. Google Scholar

8. Abaei, E., E. Mehrshahi, G. Amendola, E. Arnieri, and A. Shamsafar, "Two dimensional multi-port method for analysis of propagation characteristics of substrate integrated waveguide," Progress In Electromagnetics Research C, Vol. 29, 261-273, 2012. Google Scholar

9. Talebi, N. and M. Shahabadi, "Application of generalized multipole technique to the analysis of discontinuities in substrate integrated waveguides," Progress In Electromagnetics Research, Vol. 69, 227-235, 2007.
doi:10.2528/PIER06122107 Google Scholar

10. Arnieri, E. and G. Amendola, "Analysis of substrate integrated waveguide structures based on the parallel-plate waveguide Green's function," IEEE Transactions on Microwave Theory and Techniques, Vol. 56, 1615-1623, 2008.
doi:10.1109/TMTT.2008.925240 Google Scholar

11. Chew, W. C., Waves and Fields in Inhomogeneous Media, Wiley-IEEE Press, 1999.
doi:10.1109/9780470547052

12. Arnieri, E. and G. Amendola, "Method of moments analysis of slotted substrate integrated waveguide arrays," IEEE Transactions on Antennas and Propagation, Vol. 59, 1148-1154, 2011.
doi:10.1109/TAP.2011.2109356 Google Scholar

13. 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, 2008.
doi:10.1109/LMWC.2008.918872 Google Scholar

14. Angiulli, G., "On the computation of nonlinear eigenvalues in electromagnetic problems," Journal of Electromagnetic Waves and Applications, Vol. 21, No. 4, 527-532, 2007.
doi:10.1163/156939307780616838 Google Scholar

15. 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, 1412-1415, 2009.
doi:10.1109/TMAG.2009.2012650 Google Scholar

16. 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, 157-169, 2012. Google Scholar

17. Huang, C. C., L. Tsang, and C. H. Chan, "Multiple scattering among vias in lossy planar waveguides using SMCG method," IEEE Transactions on Advanced Packaging, Vol. 25, 181-188, 2002.
doi:10.1109/TADVP.2002.803262 Google Scholar

18. Xu, Z. Q., Y. Shi, P. Wang, J. X. Liao, and X. B. Wei, "Substrate integrated waveguide (SIW) filter with hexagonal resonator," Journal of Electromagnetic Waves and Applications, Vol. 26, No. 11-12, 1521-1527, 2012.
doi:10.1080/09205071.2012.703951 Google Scholar

19. Chen, Z., W. Hong, and J. X. Chen, "High-Q planar active resonator based on substrate integrated waveguide technique," Electronic Letters, Vol. 48, No. 10, 555-557, May 10, 2012. Google Scholar

Dr. Giandomenico Amendola

Dr. Giovanni Angiulli

Dr. Emilio Arnieri

Dr. Luigi Boccia