Abstract
In this paper, novel efficient basis functions are presented for the rigorous analysis by the spectral domain Galerkin method of geometrically complex Microstrip discontinuities. The numerical performances of these basis functions are very attractive, namely, very rapid convergence and high stability. Moreover, a comparative study of the convergence features of the proposed basis functions with two others widely used in literature, namely, the rooftops and the rectangular pulses, is presented. To illustrate this study, numerical results are presented for a shielded Microstrip bend discontinuity.
Résumé
Dans cet article, une nouvelle fonction de base pour l’analyse rigoureuse des discontinuités dans les lignes microbandes par la méthode de Galerkin dans le domaine spectral est présentée. Les performances numériques de cette fonction de base, appelée tunnel, sont comparées avec celles de deux fonctions de base largement utilisées dans la bibliographie, à savoir, les fonctions en toit (rooftop) et les impulsions rectangulaires. Ainsi, l’utilisation de cette fonction de base permet une convergence rapide et est plus stable que pour les deux autres fonctions de base, ce qui a donc permis d’optimiser les performances numériques de la méthode utilisée. Pour illustrer cette étude, cette méthode est appliquée à la détermination des paramètres de diffraction d’un coude en ligne microbande.
References
Rautio (J. C), Harrington (R. F.), An electromagnetic time-harmonic analysis of shielded microstrip circuits,IEEE Trans. MTT,35, no. 8, pp. 726–730, (August 1987).
Wertgen (W.), Jansen (R. H.), Efficient direct and iterative electrodynamic analysis of geometrically complex mic and mmic structures,International Journal of Numerical Modelling Electronic Networks, Devices and Fields,2, pp. 153–186, (1989).
Harokopus (W. P.), Katehi (P. B.), Characterization of micro-strip discontinuities on multilayer dielectric substrates, including radiation losses,IEEE Trans. MTT,37, no. 12, pp. 2058–2066, (Dec. 1989).
Nam (S.), Ling (H.), Itoh (T.), Characterization of uniform microstrip lines and its discontinuities using the time-domain method of lines,IEEE Trans. MTT,37, no. 12, pp. 2051–2057, (Dec. 1989).
Hill (A.), Tripathi (V. K.), An efficient algorithm for the three- dimensional analysis of passive microstrip components and discontinuities for microwave and millimeter-wave integrated circuits,IEEE Trans. MTT,39, no. 1, pp. 83–91 (Jan. 1991).
Jackson (R. W.), Full-wave, finite element analysis of irregular microstrip discontinuities,IEEE Trans. MTT,37, no. 1, pp. 81–89 (Jan. 1989).
Sorrentino (R.), Itoh (T.), Transverse resonance analysis of finline discontinuities,IEEE Trans. MTT,32, pp. 1633–1638, (Dec.1984).
Essaaidi (M), Boussouis (M.), Comparative study of the Galer-kin and the least-squares boundary residuals (lsbr) methods for the rigorous analysis of microwave integrated circuits (mics),MOTL,5, no. 3, pp. 141–146, (March 1992).
Essaaidi (M), Boussouis (M), A modified least-squares boundary residuals method for the rigorous analysis of MICS,MOTL,5, no. 10, pp. 537–542, (September 1992).
Itoh (T.), Analysis of microstrip resonators,IEEE Trans. MTT,22, no. 11, pp. 946-951, (Nov. 1974).
Essaaidi (M.), Corrections to « Analysis of microstrip step discontinuities in Mies printed on anisotropic substrates using the method of moments »,MOTL,11, no. 6, p. 345, (April 1996).
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Essaaidi, M., Aoufi, J.E. & Moussaoui, A.E. Efficiently convergent novel basis functions for the analysis of microstrip discontinuities by the spectral domain Galerkin method. Ann. Télécommun. 53, 23–27 (1998). https://doi.org/10.1007/BF02997624
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DOI: https://doi.org/10.1007/BF02997624
Key words
- Microwave line
- Microstrip line
- Frequency domain method
- Discontinuity
- Galerkin method
- Series expansion
- Numerical convergence