Jesper Riishede et al 2003 J. Opt. A: Pure Appl. Opt. 5 534 doi:10.1088/1464-4258/5/5/316
Jesper Riishede1, Niels Asger Mortensen2 and Jesper Lægsgaard1
Show affiliationsBased on the scalar Helmholtz equation and the finite-difference approximation, we formulate a matrix eigenvalue problem for the calculation of propagation constants, β(ω), in micro-structured optical fibres. The method is applied to index-guiding fibres as well as to air-core photonic bandgap fibres, and in both cases qualitatively correct results are found. The strength of this approach lies in its very simple numerical implementation and its ability to find eigenmodes at a specific eigenvalue, which is of great interest when modelling defect modes in photonic bandgap fibres.
42.81.Dp Propagation, scattering, and losses; solitons
Issue 5 (September 2003)
Received 15 May 2003, accepted for publication 14 July 2003
Published 31 July 2003
Jesper Riishede et al 2003 J. Opt. A: Pure Appl. Opt. 5 534
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