Edwards, G J; Underwood, R (2011) The electromagnetic fields of triaxial ellipsoid calculated by modal superposition. Metrologia, 48 (3). pp. 114-122.

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Abstract

The electromagnetic fields and eigen-frequencies of triaxially ellipsoidal resonators have been calculated. The method used is modal superposition, based on the decomposition of the fields inside the resonator into a series expansion, with unknown coefficients, of the eigen-states of a spherical resonator. The coefficients and eigen-frequencies have then been calculated by minimizing the rms electric field at the resonator surface using software designed within MatLab®. Accuracies of parts in 1010 have been obtained for the eigen-frequencies, and the dependence of the calculations on the ellipsoidal eccentricities and the resonator modes has been analysed. The results are compared with those of Mehl (2009 Metrologia 46 554-9), who used a second-order approximation. The method of modal superposition has the potential for solving many similar problems in resonators of arbitrary shapes

Item Type:	Article
Keywords:	spherical resonator, microwave frequency, eigen state, Boltzmann
Subjects:	Electromagnetics Electromagnetics > Electrical Measurement
Identification number/DOI:	10.1088/0026-1394/48/3/005
Last Modified:	02 Feb 2018 13:14
URI:	http://eprintspublications.npl.co.uk/id/eprint/5017

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