dorsal/arxiv
View SchemaA "poor man's approach" to modelling of micro-structured optical fibres
| Authors | Jesper Riishede, Niels Asger Mortensen, Jesper Laegsgaard |
|---|---|
| Categories | |
| ArXiv ID | physics/0307075 |
| URL | https://arxiv.org/abs/physics/0307075 |
| DOI | 10.1088/1464-4258/5/5/316 |
| Journal | J. Opt. A: Pure Appl. Opt. 5, 534 (2003) |
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.
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"abstract": "Based on the scalar Helmholtz equation and the finite-difference\napproximation, we formulate a matrix eigenvalue problem for the calculation of\npropagation constants, beta(omega), in micro-structured optical fibres. The\nmethod is applied to index-guiding fibres as well as air-core photonic bandgap\nfibres, and in both cases qualitatively correct results are found. The strength\nof this approach lies in its very simple numerical implementation and its\nability to find eigenmodes at a specific eigenvalue, which is of great\ninterest, when modelling defect modes in photonic bandgap fibres.",
"arxiv_id": "physics/0307075",
"authors": [
"Jesper Riishede",
"Niels Asger Mortensen",
"Jesper Laegsgaard"
],
"categories": [
"physics.optics",
"physics.ed-ph"
],
"doi": "10.1088/1464-4258/5/5/316",
"journal_ref": "J. Opt. A: Pure Appl. Opt. 5, 534 (2003)",
"title": "A \"poor man\u0027s approach\" to modelling of micro-structured optical fibres",
"url": "https://arxiv.org/abs/physics/0307075"
},
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