One path to acoustic cloaking
One path to acoustic cloaking
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DOI：
10.1088/1367-2630/9/3/045
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发表时间：
2007-03-02
影响因子：
3.3
通讯作者：
Schurig, David
中科院分区：
文献类型：
--
作者：
Cummer, Steven A.;Schurig, David
Milton等人对弹性介质中坐标变换的完整分析表明，一般来说，运动方程不是形式不变的，因此不允许Pendry等人在电磁学中发现的那种变换型解。然而，在二维（2D）几何中，流体中的声学方程与单极化麦克斯韦方程的形式相同，通过变量交换也保留了边界条件。通过声隐身的时间谐波模拟，证实了具有各向异性质量的二维声学方程的变换型解的存在性。我们讨论了实验证明声隐身的可能性，并分析了为什么这种声学和电磁学的特殊等效只发生在二维中。
A complete analysis of coordinate transformations in elastic media by Milton et al has shown that, in general, the equations of motion are not form invariant and thus do not admit transformation-type solutions of the type discovered by Pendry et al for electromagnetics. However, in a two-dimensional (2D) geometry, the acoustic equations in a fluid are identical in form to the single polarization Maxwell equations via a variable exchange that also preserves boundary conditions. We confirm the existence of transformation-type solutions for the 2D acoustic equations with anisotropic mass via time harmonic simulations of acoustic cloaking. We discuss the possibilities of experimentally demonstrating acoustic cloaking and analyse why this special equivalence of acoustics and electromagnetics occurs only in 2D.