Journal
JOURNAL OF OPTICS A-PURE AND APPLIED OPTICS
Volume 5, Issue 5, Pages 534-538Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1464-4258/5/5/316
Keywords
micro-structured optical fibres; numerical modelling
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Based on the scalar Helmholtz equation and the finite-difference approximation, we formulate a matrix eigenvalue problem for the calculation of propagation constants, beta(omega), 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.
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