Surface waves on two-dimensional rough Neumann surfaces

被引:2
作者
Zierau, W. [1 ]
Leyva-Lucero, M. A. [2 ]
Maradudin, A. A. [3 ]
机构
[1] Univ Munster, Inst Condensed Matter Theory, D-48149 Munster, Germany
[2] Univ Autanoma Sinaloa, Fac Ciencias Fis Matemat, Culiacan 80000, Sinaloa, Mexico
[3] Univ Calif Irvine, Dept Phys & Astron, Irvine, CA 92697 USA
关键词
Surface waves; Neumann boundary condition; Bigrating; Random surface roughness; Liquid-hard substrate interface; PERFECTLY CONDUCTING SURFACES; PLASMON POLARITONS; METAL-SURFACES; TERAHERTZ; SPECTROSCOPY;
D O I
10.1016/j.wavemoti.2015.07.005
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
A planar surface on which a scalar wave satisfies the Neumann boundary conditions does not support a surface wave. However, a structured Neumann surface can support such a wave. By means of a Rayleigh equation for a scalar field in the region above the two-dimensional rough surface of a semi-infinite medium on which the Neumann boundary condition is satisfied, we derive the dispersion relation for surface waves on both doubly periodic and randomly rough surfaces. Dispersion curves for these waves on doubly periodic surfaces with three forms of the surface profile function are presented together with dispersion curves for surface waves on a two-dimensional randomly rough surface. (C) 2015 Elsevier B.V. All rights reserved.
引用
收藏
页码:29 / 41
页数:13
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