Source amplitudes for active exterior cloaking
Source amplitudes for active exterior cloaking
复制标题
DOI：
10.1088/0266-5611/28/10/105002
复制
发表时间：
2012-10-01
期刊：
影响因子：
2.1
通讯作者：
Parnell, William J.
中科院分区：
文献类型：
--
作者：
Norris, Andrew N.;Amirkulova, Feruza A.;Parnell, William J.
主动隐身罩由一组离散的多极源组成，它们与入射的时谐标量波相消干涉，在有限的空间区域内产生零总场。对于一个给定数量的源和它们的位置在两个维度上，它示出的多极振幅可以表示为无限的入射波分解成定期贝塞尔函数的系数的总和。由有源源产生的场在由源的相对位置限定的一组圆之外的无限区域中消失。结果提供了一个直接的解决方案，确定源振幅的反问题。它们还定义了广泛的一类非辐射离散源。
The active cloak comprises a discrete set of multipole sources that destructively interfere with an incident time harmonic scalar wave to produce zero total field over a finite spatial region. For a given number of sources and their positions in two dimensions it is shown that the multipole amplitudes can be expressed as infinite sums of the coefficients of the incident wave decomposed into regular Bessel functions. The field generated by the active sources vanishes in the infinite region exterior to a set of circles defined by the relative positions of the sources. The results provide a direct solution to the inverse problem of determining the source amplitudes. They also define a broad class of non-radiating discrete sources.