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首页> 外文期刊>Optical and quantum electronics >Electromagnetic energy flow in confined regions of evanescent waves: wavelength-scale analysis by the method of single expression
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Electromagnetic energy flow in confined regions of evanescent waves: wavelength-scale analysis by the method of single expression

机译：van逝波受限区域中的电磁能量流：通过单表达式方法进行波长范围分析

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摘要

An alternative expression for the Poynting vector for monitoring electromagnetic energy flow in confined regions of evanescent waves is presented. This expression is an intrinsic integrable function of the boundary problem solution in the method of single expression (MSE). The peculiarity of the MSE is the fact that it does not exploit the superposition principle by representing solutions of the Helmholtz equation as a sum of counter propagating waves in the medium, but rather considers resulting wave with certain amplitude and phase by solving special set of the MSE equations with backward calculation approach. This permits to have a universal expression for the Poynting vector appropriate both for media of a positive product of permittivity and permeability and of a negative product of these values that is relevant to the region of evanescent waves. For the boundary problem solution carried out numerically by the MSE it is possible to observe distributions of not only electric and magnetic field amplitudes, but also the Poynting vector in any confined media including regions of evanescent waves. The presented alternative expression for the Poynting vector in the MSE is in complete agreement with the traditional representation of the Poynting vector for the medium where it is defined.
机译：提出了Poynting矢量的替代表达式，用于监视e逝波的受限区域中的电磁能量流。该表达式是单表达式（MSE）方法中边界问题解的固有可积函数。 MSE的独特之处在于它不通过将Helmholtz方程的解表示为介质中反向传播波的总和来利用叠加原理，而是通过求解特定的MSE集来考虑具有一定幅度和相位的合成波。 MSE方程采用反向计算方法。这允许对Poynting载体具有通用的表达，其既适用于介电常数和磁导率的正积的介质，又适用于与van逝波区域有关的这些值的负积的介质。对于由MSE进行数值求解的边界问题解，不仅可以观察到电场和磁场幅度的分布，而且还可以观察到在包括media逝波区域在内的任何受限介质中的Poynting矢量分布。 MSE中Poynting载体的替代表达与定义该培养基的Poynting载体的传统表示形式完全一致。

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