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Electromagnetic guided waves on linear arrays of spheres

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journal contribution
posted on 23.07.2014 by Christopher Linton, V.V. Zalipaev, Ian Thompson
Guided electromagnetic waves propagating along one-dimensional arrays of dielectric spheres are studied. The quasi-periodic wave field is constructed as a superposition of vector spherical wavefunctions and then application of the boundary condition on the sphere surfaces leads to an infinite system of real linear algebraic equations. The vanishing of the determinant of the associated infinite matrix provides the condition for surface waves to exist and these are determined numerically after truncation of the infinite system. Dispersion curves are presented for a range of azimuthal modes and the effects of varying the sphere radius and electric permittivity are shown. We also demonstrate that a suitable truncation of the full system is precisely equivalent to the dipole approximation that has been used previously by other authors, in which the incident field on a sphere is approximated by its value at the centre of that sphere. © 2012 Elsevier B.V.

History

School

  • Science

Department

  • Mathematical Sciences

Published in

Wave Motion

Volume

50

Issue

1

Pages

29 - 40

Citation

LINTON, C.M., ZALIPAEV, V. and THOMPSON, I., 2013. Electromagnetic guided waves on linear arrays of spheres. Wave Motion, 50(1), pp.29-40.

Publisher

© Elsevier

Version

AM (Accepted Manuscript)

Publication date

2013

Notes

NOTICE: this is the author’s version of a work that was accepted for publication in Wave Motion. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in: Wave Motion, 2013, 50(1); http://dx.doi.org/10.1016/j.wavemoti.2012.06.002

ISSN

0165-2125

Language

en

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