An asymptotic theory for waves guided by diffraction gratings or along microstructured surfaces.

An asymptotic theory for waves guided by diffraction gratings or along microstructured surfaces.
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DOI:
10.1098/rspa.2013.0467
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发表时间:
2014-01-08
期刊:
Proceedings. Mathematical, physical, and engineering sciences
影响因子:
--
通讯作者:
Skelton EA
Skelton EA
中科院分区:
其他
文献类型:
--
作者:
Antonakakis T;Craster RV;Guenneau S;Skelton EA

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一个有效的表面方程,封装的微观结构的细节,开发微结构表面建模。推导出的方程精确地再现了表面波现象的一个关键特征,由周期性几何形状产生,通常称为瑞利-布洛赫波,但也有其他名称,例如光子学中的欺骗表面等离子体激元。几个说明性的例子被认为是和它示出的理论延伸到类似的波传播沿着光栅。线源激励被认为是一个隐式的长尺度波长的识别和比较完整的数值模拟。我们还调查了非周期性的情况下,在结构中的一个长尺度的几何变化,并显示,局部缺陷状态出现的渐近理论解释。
An effective surface equation, that encapsulates the detail of a microstructure, is developed to model microstructured surfaces. The equations deduced accurately reproduce a key feature of surface wave phenomena, created by periodic geometry, that are commonly called Rayleigh–Bloch waves, but which also go under other names, for example, spoof surface plasmon polaritons in photonics. Several illustrative examples are considered and it is shown that the theory extends to similar waves that propagate along gratings. Line source excitation is considered, and an implicit long-scale wavelength is identified and compared with full numerical simulations. We also investigate non-periodic situations where a long-scale geometrical variation in the structure is introduced and show that localized defect states emerge which the asymptotic theory explains.
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