孤立目标隐身的直径-带宽积限制
A diameter--bandwidth product limitation of isolated-object cloaking
摘要：
我们发现，孤立的对象的隐身是受直径带宽产品的限制：随着对象的大小的增加，良好的（小横截面）隐身的带宽与直径成反比，作为因果关系的约束，即使是完美的制造和材料的吸收可以忽略不计。这概括了之前的结果，即孤立对象在非零带宽上的完美隐身违反了因果关系。此外，我们证明了更广泛的基于容限的缩放限制的任何带宽平均的隐身截面，使用复杂的分析和光学定理转换成一个单一的散射问题的频率平均的问题与转换材料。
英文摘要：
We show that cloaking of isolated objects is subject to a diameter-bandwidth product limitation: as the size of the object increases, the bandwidth of good (small cross-section) cloaking decreases inversely with the diameter, as a consequence of causality constraints even for perfect fabrication and materials with negligible absorption. This generalizes a previous result that perfect cloaking of isolated objects over a nonzero bandwidth violates causality. Furthermore, we demonstrate broader causality-based scaling limitations on any bandwidth-averaged cloaking cross-section, using complex analysis and the optical theorem to transform the frequency-averaged problem into a single scattering problem with transformed materials.
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