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A static study of multilayered multiconductor transmission lines

Étude statique des lignes À plusieurs conducteurs et diÉlectriques

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Abstract

Accurate knowledge of passive MIES and MMIGS has become as important as knowledge of active components. A rather classical method of analysis of multi-dielectric multistrip transmission lines is presented. This analysis, restricted to the quasi-static approach, is based on a variational method in the discrete spectral domain, combined with the transverse transmission line method devoted to the calculation of Green’s functions. This work, devoted only to the study of the distributed parameters of the structures, i.e. in any transverse section, is followed by a complete modal analysis with respect to the direction of propagation and the possible boundary conditions at the terminals. These calculations consist actually mostly of an eigenvalue problem. They are carried out analytically as far as possible by means of a block matrix algebraic formalism particularly well suited to the problem. The mode impedances and the impedance matrix are obtained analytically in a general manner. All the parameters of new structures with four conductors are completely made explicit.

Résumé

La connaissance précise des caractéristiques des éléments passifs dans les circuits intégrés hyper-fréquences, monolithiques ou non, est devenue aujourd’ hui aussi importante que celles des composants actifs. Une méthode assez classique d’analyse des lignes de transmission à conducteurs et couches diélectriques multiples est présentée. Cette étude, restreinte au cadre de l’approche quasi-statique, est fondée sur une analyse variationnelle dans le domaine spectral discret, associée à la méthode de la ligne de transmission transverse pour le calcul des fonctions de Green introduites. Ce travail, consacré d’abord à l’étude des caractéristiques linéiques des structures, c’est-à-dire dans une section transverse quelconque, est complété par une analyse modale complète selon la direction de propagation et les éventuelles conditions terminales aux différents accès. Ces calculs, consistant en fait essentiellement en un problème aux valeurs propres, sont menés analytique-ment aussi loin que possible au moyen d’un formalisme algébrique de matrices par blocs particulièrement bien adapté au problème ; les impédances de mode ainsi que la matrice d’impédance sont obtenues en toute généralité ; tous les paramètres de nouvelles structures à quatre conducteurs sont totalement explicités.

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Authors and Affiliations

  1. Ecole normale supérieure, Laboratoire de radioastronomie millimétrique, 24, rue Lhomond, F-75005, Paris, France

    Christophe Roblin

  2. à l’ENSTA LEI, 2, bd Victor, F-75015, Paris, France

    Christophe Roblin

  3. ENS, laboratoire de radioastronomie millimétrique, 24, rue Lhomond, F-75005, Paris, France

    Denis CretÉ

  4. à Thomson-CSF/LCR (Epitaxie et hétérostructures), Domaine de Corbeville, F-91400, Orsay, France

    Denis CretÉ

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  1. Christophe Roblin
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Roblin, C., CretÉ, D. A static study of multilayered multiconductor transmission lines. Ann. Télécommun. 49, 159–177 (1994). https://doi.org/10.1007/BF02999479

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  • DOI: https://doi.org/10.1007/BF02999479

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