Abstract
The aim of this paper is to present a general methodology for studying printed electromagnetic structures. Canonical microstrip structures can be described by means of a system of coupled integral equations, which can be easily transformed into a system of algebraic equations by using the Neumann series, namely a series of Bessel functions. Careful numerical analysis shows that, in order to obtain a reasonable accuracy of the fields and/or potential, small matrices are necessary. Static and dynamic cases are discussed.
Résumé
Cet article présente une méthodologie générate pour l’étude des structures électromagnétiques imprimées. Les structures canoniques à microbandes peuvent être décrites au moyen d’un système d’équations intégrates couplées, qui peut facilement être transformé en un système d’équations algébriques en utilisant une série de Neumann, c’est-à-dire une série de fonctions de Bessel. Une analyse numérique attentive montre que des matrices effectives petites sont nécessaires dans le but d’obtenir une précision raisonnable des champs ou des potentiels. Des cas statiques et dynamiques sont étudiés.
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Miano, G., Panariello, G., Schettino, F. et al. The neumann series: A tool for the analysis of some microstrip structures. Ann. Télécommun. 53, 104–114 (1998). https://doi.org/10.1007/BF02998568
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DOI: https://doi.org/10.1007/BF02998568
Key words
- Circuit analysis
- Mathematical series
- Bessel function
- Microstrip line
- Planar technology
- Microwave circuit
- Electromagnetism
- Patch antenna
- Integral equation
- Capacitance
- Circular configuration
- Resonance frequency