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2013-05-19

Computation of the Resonant Frequency and Quality Factor of Lossy Substrate Integrated Waveguide Resonators by Method of Moments

By Giandomenico Amendola, Giovanni Angiulli, Emilio Arnieri, and Luigi Boccia
Progress In Electromagnetics Research Letters, Vol. 40, 107-117, 2013
doi:10.2528/PIERL13031808

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.

Citation


Giandomenico Amendola, Giovanni Angiulli, Emilio Arnieri, and Luigi 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.
doi:10.2528/PIERL13031808
http://www.jpier.org/PIERL/pier.php?paper=13031808

References


    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

    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

    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.

    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

    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

    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

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

    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.

    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

    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

    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

    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

    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

    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

    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.

    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

    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

    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.