Oblique propagation of electromagnetic and elastic waves for an array of cylindrical fibres
Oblique propagation of electromagnetic and elastic waves for an array of cylindrical fibres
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圆柱形纤维阵列的电磁波和弹性波的倾斜传播
DOI：
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发表时间：
2003
期刊：
影响因子：
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通讯作者：
A. Movchan
中科院分区：
文献类型：
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作者：
S. Guenneau;Christopher G. Poulton;A. Movchan
本文分析了斜入射时电磁波和弹性动力波在双周期圆柱形通道阵列中的传播。一种新的方法，多极散射的方法的基础上，已被提出来减少这些偏微分方程的某些代数问题的瑞利型的谱问题。我们得到了一个本征值问题的公式，使我们能够构建高阶色散曲线，并研究斜入射下的光子和声子带隙结构。我们还解决了由圆锥入射引起的奇异扰动的问题，并讨论了铁磁光子晶体光纤在长波长极限下的一些有效性质。
This paper presents analysis of electromagnetic and elastodynamic waves propagating through a doubly periodic array of cylindrical channels in oblique incidence. A new method, based on a multipole scattering approach, has been proposed to reduce these spectral problems for partial differential equations to certain algebraic problems of the Rayleigh type. We obtain a formulation in terms of an eigenvalue problem that enables us to construct the high‐order dispersion curves and to study both photonic and phononic band‐gap structures in oblique incidence. We also address the question of a singular perturbation induced by the conical incidence and discuss some effective properties for ferromagnetic photonic crystal fibres in the long‐wavelength limit.