A "poor man's approach" to modelling of micro-structured optical fibres
Optics
2007-05-23 v1 Physics Education
Abstract
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 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.
Keywords
Cite
@article{arxiv.physics/0307075,
title = {A "poor man's approach" to modelling of micro-structured optical fibres},
author = {Jesper Riishede and Niels Asger Mortensen and Jesper Laegsgaard},
journal= {arXiv preprint arXiv:physics/0307075},
year = {2007}
}
Comments
9 pages including 5 figures. Accepted for Journal of Optics A: Pure and Applied Optics