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分层电介质介质边界上的频率相关阻抗和表面波。

Frequency-dependent impedance and surface waves on the boundary of a stratified dielectric medium.

作者信息

Cherednichenko Kirill, Graham William

机构信息

Department of Mathematical Sciences, University of Bath, Claverton Down, Bath BA2 7AY, UK.

出版信息

Philos Trans A Math Phys Eng Sci. 2019 Oct 21;377(2156):20190218. doi: 10.1098/rsta.2019.0218. Epub 2019 Sep 2.

DOI:10.1098/rsta.2019.0218
PMID:31474199
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC6732373/
Abstract

We analyse waves propagating along the interface between half-spaces filled with a perfect dielectric and a Lorentz material. We show that the corresponding interface condition leads to a generalization of the classical Leontovich condition on the boundary of a dielectric half-space. We study when this condition supports propagation of (dispersive) surface waves. We derive the related dispersion relation for waves along the boundary of a stratified half-space and determine the relationship between the loss parameter, frequency and wavenumber for which interfacial waves exist. This article is part of the theme issue 'Modelling of dynamic phenomena and localization in structured media (part 1)'.

摘要

我们分析了沿充满理想电介质和洛伦兹材料的半空间之间界面传播的波。我们表明，相应的界面条件导致了电介质半空间边界上经典列昂托维奇条件的推广。我们研究了该条件何时支持（色散）表面波的传播。我们推导了沿分层半空间边界的波的相关色散关系，并确定了存在界面波时损耗参数、频率和波数之间的关系。本文是主题为“结构化介质中动态现象建模与局域化（第1部分）”的一部分。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/2ab8/6732373/e7fae27b4b7d/rsta20190218-g6.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/2ab8/6732373/a7dbb931983b/rsta20190218-g1.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/2ab8/6732373/9e075715f462/rsta20190218-g2.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/2ab8/6732373/7d394beb07bd/rsta20190218-g3.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/2ab8/6732373/938d99332f31/rsta20190218-g4.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/2ab8/6732373/c46bb49903c2/rsta20190218-g5.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/2ab8/6732373/e7fae27b4b7d/rsta20190218-g6.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/2ab8/6732373/a7dbb931983b/rsta20190218-g1.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/2ab8/6732373/9e075715f462/rsta20190218-g2.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/2ab8/6732373/7d394beb07bd/rsta20190218-g3.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/2ab8/6732373/938d99332f31/rsta20190218-g4.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/2ab8/6732373/c46bb49903c2/rsta20190218-g5.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/2ab8/6732373/e7fae27b4b7d/rsta20190218-g6.jpg

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本文引用的文献

1
Refined boundary conditions on the free surface of an elastic half-space taking into account non-local effects.考虑非局部效应的弹性半空间自由表面上的精确边界条件。
Proc Math Phys Eng Sci. 2016 Feb;472(2186):20150800. doi: 10.1098/rspa.2015.0800.