Comparisons of finite element and Rayleigh methods for the study of conical Bloch waves in arrays of metallic cylinders

S. Guenneau (Blackett Laboratory, Imperial College London, London, UK)
A. Nicolet (Institut Fresnel, Université Aix‐Marseille III, Marseille, France)
C. Geuzaine (California Institute of Technology, Applied and Computational Mathematics, Pasadena, California, USA)
F. Zolla (Institut Fresnel, Université Aix‐Marseille I, Marseille, France)
A.B. Movchan (Department of Mathematical Sciences, Liverpool, UK)

Abstract

This paper investigates new technological devices to be utilised in future optical communications, by means of variational method (FEM) and multipole scattering approach (Rayleigh method). This last one provides interesting asymptotic results in the long‐wavelength limit. The so‐called photonic crystal fibres (PCF) possess radically different guiding properties due to photonic band gap guidance: removing a hole within a macro‐cell leads to a defect state within the gap. In the case of multi‐core PCF, the localised modes start talking to each other which possibly leads to a new generation of multiplexer/demultiplexers.

Keywords

Citation

Guenneau, S., Nicolet, A., Geuzaine, C., Zolla, F. and Movchan, A. (2004), "Comparisons of finite element and Rayleigh methods for the study of conical Bloch waves in arrays of metallic cylinders", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 23 No. 4, pp. 932-949. https://doi.org/10.1108/03321640410553364

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Emerald Group Publishing Limited

Copyright © 2004, Emerald Group Publishing Limited

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