volume | PIER Journals

Abstract

In our previous works, we have presented one differential method for the efficient calculation of the modal scattering matrix of junctions in rectangular waveguides. The formalism proposed relies on the Maxwell's equations under their covariant form written in a nonorthogonal coordinate system fitted to the structure under study. On the basis of a change of variables, we show in this paper that the curvilinear method and the generalized telegraphist's method lead to the same system of coupled differential equations.

1. Dusseaux, R., P. Cornet, and P. Chambelin, "Etude de transformateur plan-E dans un systeme de coordonnees non-orthogonales," Ann. Telecommunic, No. 5-6, 311-323, 1999. Google Scholar

2. Dusseaux, R., P. Chambelin, and C. Faure, "Analysis of rectangular waveguide H-plane junctions in nonorthogonal coordinate system," Progress In Electromagnetics Progress, Vol. 28, 205-229, 2000.
doi:10.2528/PIER99092001 Google Scholar

3. Dusseaux, R. and C. Faure, "Analyse de composants plan-E symetriques en guides d’onde a section rectangulaire," Ann. Telecommunic, No. 9-10, 834-855, 2002. Google Scholar

4. Cornet, P., R. Dusseaux, and J. Chandezon, "Wave propagation in curved waveguides of rectangular cross section," IEEE Trans. Microwave Theory Tech., Vol. 47, 965-972, 1999.
doi:10.1109/22.775427 Google Scholar

5. Reiter, G., "Generalized telegraphist’s equations for waveguides of varying cross-sections," Proc. Inst. Elec. Eng., Vol. 106B, supplement 13, 54-57, 1959. Google Scholar

6. Schelkunoff, S. A., "Generalized telegraphist’s equations for waveguides," Bell System Technical Journal, Vol. 31, 784-801, 1952. Google Scholar

7. Solymar, L., "Spurious mode generation in nonuniform waveguide," IEEE Trans. Microwave Theory Tech., Vol. 7, 379-383, 1959.
doi:10.1109/TMTT.1959.1124595 Google Scholar

8. Wexler, A., "Solution of waveguide discontinuity by modal analysis," IEEE Trans. Microwave Theory Tech., Vol. 15, 508-517, 1967.
doi:10.1109/TMTT.1967.1126521 Google Scholar

9. Lewin, L., Theory of Waveguides, Newness-Butterworth, 1975.

10. Itoh, T., Numerical Techniques for Microwave and Millimeterwave Passive Structures, John Wiley & Sons, 1989.

11. Koshiba, M., M. Sato, and M. Suzuki, "Application of finite-element method to H-plane waveguide discontinuities," Electr. Lett., Vol. 18, 364-365, 1982.
doi:10.1049/el:19820249 Google Scholar

12. Koshiba, M., M. Sato, and M. Suzuki, "Application of the boundary-element method to waveguide discontinuities," IEEE Trans. Microwave Theory Tech., Vol. 34, 301-307, 1986.
doi:10.1109/TMTT.1986.1133330 Google Scholar

13. Huting, W. A. and K. Webb, "Comparison of modes matching and differential equations techniques in the analysis of waveguide transitions," IEEE Trans. Microwave Theory Tech., Vol. 39, 508-517, 1991. Google Scholar

14. Rozzi, T. and M. Mongiardo, "E-plane steps in rectangular waveguide," IEEE Trans. Microwave Theory Tech., Vol. 39, 1279-1288, 1991.
doi:10.1109/22.85401 Google Scholar

15. Reiter, J. M. and F. Arndt, "Rigorous analysis of arbitrarily shaped H- and E-plane discontinuities in rectangular waveguides by a full-wave boundary contour mode-matching method," IEEE Trans. Microwave Theory Tech., Vol. 43, 796-801, 1995.
doi:10.1109/22.375226 Google Scholar

16. Amari, S., J. Bornemann, and R. Vahldick, "Accurate analysis of scattering form multiple waveguide discontinuities using the coupled-integral equations technique," Journal of Electromagnetic Waves and Applications, Vol. 10, No. 12, 1623-1644, 1996.
doi:10.1163/156939396X00351 Google Scholar

17. El Sabbagh, M. and K. A. Zaki, "Modeling of rectangular waveguide junctions containing cylindrical posts," Progress In Electromagnetics Progress, Vol. 33, 299-301, 2001.
doi:10.2528/PIER01022603 Google Scholar

18. Hernandez-Lopez, M. A. and M. Quintillan-Gonzalez, "A finite-element method code to analyse waveguide dispersion," Journal of Electromagnetic Waves and Applications, Vol. 21, No. 3, 397-408, 2007.
doi:10.1163/156939307779367396 Google Scholar

19. Guo, Y., Y. Xu, L. Xia, and R. Xu, "Efficient optimization of a Ka-band branch waveguide power divider," Journal of Electromagnetic Waves and Applications, Vol. 22, No. 1, 17-26, 2008.
doi:10.1163/156939308783122698 Google Scholar

20. Wang, Z. X., W. B. Dou, and Z. L. Mei, "A compact H-plane magic tee designed at W-band," Progress In Electromagnetics Progress B, Vol. 5, 35-48, 2008.
doi:10.2528/PIERB08011706 Google Scholar

21. Panda, D. K., A. Chakraborty, and S. R. Chouldhury, "Analysis of co-channel interfererence at waveguide joints using multiple cavity modelling technique," Progress In Electromagnetics Progress Letters, Vol. 4, 91-98, 2008.
doi:10.2528/PIERL08042704 Google Scholar

22. Marcelin, E., Application des equations de Maxwell covariantes a l’etude de la propagation dans les guides d’ondes coudes, These d’Universite, Universite Blaise Pascal, Clermont-Ferrand, France, 1992.

23. Stratton, J. A., Electromagnetic Theory, McGraw-Hill, 1941.

Professor Richard Dusséaux

Dr. Claire Faure