Abstract
A rigorous technique is developed for studying an array of arbitrarily oriented thin wire circular loops of arbitrary sizes. The exact kernel is derived and used to improve the accuracy. The scheme is applicable for small as well as large loops. The numerically obtained currents on a single loop are undistinguishable from those determined by the Fourier expansion method except when the loop is near resonance and βb > 2. For an array of two coaxial loops, excellent agreement between the analytical results and measurements is observed. Contrasts to the Fourier transform method, extension of the present scheme to cover an array of arbitrarily oriented loops intermingled with straight wires, dangling or connected, can be easily accomplished.
Résumé
Ľarticle développe une méthode rigoureuse pour etudier une antenne en réseau constituée de spires circulates en fil de cuivre, de failles quelconques. La précision est améliorée en calculant defaçon exacte le noyau, fonction de deux angles le long de la spire, des intégrales donnant les potentiels scalaire et vecteur. Les courants déterminés numériquement pour une seule spire ne se distinguent pas des valeurs obtenues par développement de Fourier, sauf au voisinage de la resonance lorsque le produit du nombre ďonde par le rayon de la spire est supérieur à 2. Pour un réseau de deux spires coaxiales, ľaccord est excellent avec les résultats de mesure. Contrairement à la méthode de Fourier, la méthode proposée s’etend à un système de spires ďorientation quelconque, entremêlées de fils rectilignes pouvant être connectés ou pendants.
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Yung, E.K.N., Wong, R.S.K. Analysis of an array of circular loops. Ann. Télécommun. 48, 491–497 (1993). https://doi.org/10.1007/BF02995477
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DOI: https://doi.org/10.1007/BF02995477