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arXiv 1804.03136physics.app-phphysics.class-ph
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TE波在渐变波导结构中的传播

TE-wave propagation in a graded waveguide structure

M Dalarsson, S Nordebo

摘要:

我们研究了TE波在具有梯度介质层的空心波导中的传播,使用双曲正切函数描述。本文给出了适用于任意截面形状的空心波导的TE波电场分量的一般公式。我们举例说明了矩形波导的特殊情况下的电场分量的精确分析结果。此外,我们推导出精确的分析结果的反射和透射系数适用于任意截面形状的波导。最后,我们表明,所获得的反射和透射系数是在精确的渐近协议与一个非常薄的均匀介质层使用模式匹配和级联。所提出的方法是易处理的,因为它给出了分析结果,是直接适用的,而不需要模式匹配,它有能力模拟现实,平滑过渡。

英文摘要:

We investigate TE-wave propagation in a hollow waveguide with a graded dielectric layer, described using a hyperbolic tangent function. General formulae for the electric field components of the TE-waves, applicable to hollow waveguides with arbitrary cross sectional shapes, are presented. We illustrate the exact analytical results for the electric field components in the special case of a rectangular waveguide. Furthermore, we derive exact analytical results for the reflection and transmission coefficients valid for waveguides of arbitrary cross sectional shapes. Finally, we show that the obtained reflection and transmission coefficients are in exact asymptotic agreement with those obtained for a very thin homogeneous dielectric layer using mode-matching and cascading. The proposed method is tractable since it gives analytical results that are directly applicable without the need of mode-matching, and it has the ability to model realistic, smooth transitions.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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