volume | PIER Journals

Abstract

Space spectral domain approach (SSDA) is a full-wave analysis method that combines the advantages of the spectral domain analysis (SDA) with that of the one dimensional method of lines (MOL). This approach is very efficient to solve 3D MIC/MMIC circuits with higher convergence, higher accuracy and minimized computation time. However, arbitrary shaped structures involving non-homogenous metallization distribution in the resonator patch could hardly be solved using this method. In this paper, the analysis of the space spectral domain approach (SSDA) is developed using non-equidistant MOL discretization as well as modified current basis functions to reduce the computation time window and to sense also accurately the fine metallization details of arbitrary shaped resonators. The modified SSDA approach is applied to solve ten arbitrary shaped resonators with a reduction of computation time less than 10%. Design curves are also presented for these shapes and good agreement is achieved between numerical and experimental results.

1. Hong, J. G. and M. J. Lancaster, Microstrip Filters for RF/Microwave Applications, Wiley-Blackwell, New York, 2001.
doi:10.1002/0471221619

2. Lee, T., Planar Microwave Engineering: A Practical Guide to Theory, Measurement, and Circuits, Cambridge, Cambridge Univ., UK, 2004.

3. Pregla, R. and W. Pascher, "The method of lines," Numerical Techniques for Microwave and Millimeter Wave Passive Structures, T. Itoh, Editor, 381{446, John Wiley & Sons, Wiley Pub., New York, 1989. Google Scholar

4. Schulz, U. and R. Pregla, "A new technique for the analysis of the dispersion characteristics of planar waveguides," Arch Elec. Ubertragung, Vol. 34, 169-173, 1980. Google Scholar

5. Schulz, U. and R. Pregla, "A new technique for the analysis of the dispersion characteristics of planar waveguides and its application to microstrips with tuning septums," Radio Sci., Vol. 16, 1173-1178, 1981.
doi:10.1029/RS016i006p01173 Google Scholar

6. Worm, S. B. and R. Pregla, "Hybrid mode analysis of arbitrarily shaped planar microwave structures by the method of lines," IEEE Trans. on Microwave Theory and Techniques, Vol. 32, 191-196, 1984.
doi:10.1109/TMTT.1984.1132641 Google Scholar

7. Vietzorreck, L., R. Pregla, and , "Hybrid analysis of 3-D MMIC elements by the methods of lines," IEEE Trans. on Microwave Theory and Techniques, Vol. 44, 2580-2586, 1996.
doi:10.1109/22.554607 Google Scholar

8. Pregla, R., "Analysis of planar microwave and millimeter wave circuits with anisotropic layers based on Generalized transmission line equation and on the method of lines," IEEE MTT-S, Int. Symp. Dig., 125-128, Boston, USA, Jun. 2000. Google Scholar

9. Pregla, R. and S. F. Helfert, "Modelling of waveguide circuits based on generalized transmission line equations and impedance/admittance transformation concept," XI Int. Symp. on Theoretical Electrical Engineering, Linz, Austria, Aug. 2001. Google Scholar

10. Vietzorreck, L. and R. Pregla, "Analysis of Discontinuities in microwave circuits with a new eigenmode algorithm based on the method of lines," 25th Eur. Microwave Conf., 804-808, Bologna, Italy, Sept. 1995. Google Scholar

11. Le Floch, J.-M., M. E. Tobar, D. Cros, and J. Krupka, "High Q-factor distributed bragg reflector resonators with reflectors of arbitrary thickness," IEEE Trans. Ultrason. Ferroelec. Freq. Contr., Vol. 54, No. 12, 2689-2695, 2007.
doi:10.1109/TUFFC.2007.597 Google Scholar

12. Le Floch, J.-M., M. E. Tobar, D. Mouneyrac, D. Cros, and J. Krupka, "Discovery of Bragg confined hybrid modes with high Q-factor in a hollow dielectric resonator," Applied Physics Letters, Vol. 91, No. 14, 142907, 2007.
doi:10.1063/1.2794413 Google Scholar

13. Wu, K. and R. Vahldieck, "A new method of modeling three-dimensional MICNMIC circuits: The space-spectral domain approach," IEEE Trans. MU, Vol. 32, No. 9, 1309-1318, Sept. 1990. Google Scholar

14. Wu, K., M. Yu, and R. Vahldieck, "Rigorous analysis of 3-D planar circuits discontinuities using the space-spectral domain approach (SSDA)," IEEE Trans. on Microwave Theory and Tech., Vol. 40, No. 7, 1475-1483, Jul. 1992.
doi:10.1109/22.146329 Google Scholar

15. Gupta, N. and M. Sing, "The space spectral domain technique applied to a fine line configuration," IEEE Microwave and Guided Wave Lett., Vol. 3, No. 5, 125-126, 1993.
doi:10.1109/75.217203 Google Scholar

16. Naji, A. and P. Warr, "Independence of the unloaded Q of a planar electromagnetic resonator from its shape," IEEE Trans. on Microwave Theory and Tech., Vol. 60, No. 8, 2370-2377, Aug. 2012.
doi:10.1109/TMTT.2012.2198488 Google Scholar

17. Diestel, H. and S.Worm, "Analysis of hybrid field problems by the method of lines with nonequidistant discretization," IEEE Trans. on Microwave Theory and Techniques,, Vol. 32, 663-638, 1984. Google Scholar

18. Hashish, E. A. and H. A. Saker, "Full-wave analysis of a wide band parallel cascaded band pass filter using the novel method of lines," National Radio Science Conference (NRSC), NTI, Cairo, Egypt, Mar. 16-18, 2004 . Google Scholar

19. Jansen, R. H., "The spectral domain approach for microwave integrated circuits," IEEE Trans. on Microwave Theory Tech., Vol. 33, 1043-1056, 1985.
doi:10.1109/TMTT.1985.1133168 Google Scholar

Professor Essam Hashish

Dr. Hossam Abd El Maula Saker