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Numerical Investigation of Photonic Crystal Fibers by Spectral and Multipole Methods

Nicolet, A. and Guenneau, S. and Zolla, F. and Geuzaine, C. and Kuhlmey, B. and Renversez, G. (2003) Numerical Investigation of Photonic Crystal Fibers by Spectral and Multipole Methods. In: IUTAM Symposium on Asymptotics, Singularities and Homogenisation in Problems of Mechanics. Solid Mechanics and Its Applications. No.113. Springer , Dordrecht, pp. 23-32. ISBN 978-1-4020-1780-3.

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In this paper, we investigate the propagation of electromagnetic waves along microstructured optical fibres (MOF) with a crystal cladding of finite extension in the transverse plane. In these so-called Photonic Crystal Fibres (PCF), many interesting and unusual phenomena may be observed. For instance, it appears that, for some range of frequencies, a defect in the crystal cladding gives rise to localized waves in the low index core (i.e. in the defect). It is worth noting that the methods reducing the system of equations to a single longitudinal (electric or magnetic) component cannot tackle these genuine vectorial propagation problems. We first achieve this study with a variational numerical method i.e. a Finite Element Formulation with the electric field as the variable, where edge elements are used for discretizing the transverse field and nodal elements for the longitudinal field [4]. Finally, we compare our finite element method — which leads to a generalized eigenvalue problem- with another method co-developed by some of us [18, 11], which is based on the determination of poles of the scattering operator (multipole expansion method).

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Additional Information:© 2003 Kluwer Academic Publishers. G. Renversez and B. Kuhlmey are supported by the French-Australian PICS/IREX scientific programs. C. Geuzaine is a Postdoctoral Researcher with the Belgian National Fund for Scientific Research at the Montefiore Department of the University of Liège. S. Guenneau is supported by a research grant EPSRC (GR/M93994). Two of the authors, A. Nicolet and F. Zolla where supported by an IUTAM conference grant.
Funding AgencyGrant Number
French-Australian PICS/IREX Scientific ProgramUNSPECIFIED
Fonds de la Recherche Scientifique (FNRS)UNSPECIFIED
Engineering and Physical Sciences Research Council (EPSRC)GR/M93994
International Union of Theoretical and Applied Mechanics (IUTAM)UNSPECIFIED
Subject Keywords:Microstructured optical fibres; finite elements; multipole method
Series Name:Solid Mechanics and Its Applications
Issue or Number:113
Record Number:CaltechAUTHORS:20200116-160633572
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:100775
Deposited By: Tony Diaz
Deposited On:17 Jan 2020 00:29
Last Modified:16 Nov 2021 17:56

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