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arXiv physics/0307075physics.opticsphysics.ed-ph
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微结构光纤模拟的“穷人方法”

A "poor man's approach" to modelling of micro-structured optical fibres

Jesper Riishede, Niels Asger Mortensen, Jesper Laegsgaard

摘要:

基于标量Helmholtz方程和有限差分近似,我们制定了一个矩阵本征值问题的计算,β(ω),在微结构光纤中的传播常数。该方法适用于指数引导光纤以及空芯光子带隙光纤,并在这两种情况下定性正确的结果found.Strength这种方法在于它非常简单的数值实现和它的能力,找到本征模在一个特定的本征值,这是非常感兴趣的,在光子带隙光纤中的缺陷模式建模时。

英文摘要:

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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