Reflection and transmission of high-frequency acoustic, electromagnetic and elastic waves at a distinguished class of irregular, curved boundaries
Reflection and transmission of high-frequency acoustic, electromagnetic and elastic waves at a distinguished class of irregular, curved boundaries
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高频声波、电磁波和弹性波在一类特殊的不规则弯曲边界处的反射和传输
DOI：
10.1093/imamat/hxz029
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发表时间：
2019
影响因子：
1.2
通讯作者：
Radjen A
中科院分区：
文献类型：
--
作者：
Radjen A
本文研究了高频线性波入射到相邻声或电磁介质之间的不规则边界上或半无限弹性固体的不规则自由表面上时的反射和透射现象。在这里，一个“不规则”的边界是一个小规模的波动的任意轮廓叠加在一个底层，光滑的曲线（也有一个任意的轮廓），与扰动的长度尺度规定的入射波场的大波数的某个逆幂。无论入射场是平面波阵面还是柱面波阵面，在这两种情况下，相关联的相位在波数上都是线性的，但边界不规则性的存在意味着需要额外的项，涉及反射场和透射场相位中波数的分数幂。事实证明，有一个独特的扰动尺度，正是一个额外的条款中的相位是必要的，因此，在描述的弗里德兰德-凯勒射线展开的形式，如最初提出的是适当的，这些定义了一个'杰出'类扰动边界，是目前的文件的主题。
Reflection and transmission phenomena associated with high-frequency linear wave incidence on irregular boundaries between adjacent acoustic or electromagnetic media, or upon the irregular free surface of a semi-infinite elastic solid, are studied in two dimensions. Here, an ‘irregular’ boundary is one for which small-scale undulations of an arbitrary profile are superimposed upon an underlying, smooth curve (which also has an arbitrary profile), with the length scale of the perturbation being prescribed in terms of a certain inverse power of the large wave-number of the incoming wave field. Whether or not the incident field has planar or cylindrical wave-fronts, the associated phase in both cases is linear in the wave-number, but the presence of the boundary irregularity implies the necessity of extra terms, involving fractional powers of the wave-number in the phase of the reflected and transmitted fields. It turns out that there is a unique perturbation scaling for which precisely one extra term in the phase is needed and hence for which a description in terms of a Friedlander–Keller ray expansion in the form as originally presented is appropriate, and these define a ‘distinguished’ class of perturbed boundaries and are the subject of the current paper.
正则扰动边界处的弗里德兰德-凯勒射线展开和标量波反射
影响因子：
1.9
作者：
R. Tew
通讯作者：
R. Tew