不可见性和PT对称性
Invisibility and PT-symmetry
摘要：
对于定义在实数直线上的一般复散射势，我们证明了在宇称变换和时间反演变换的联合作用下，控制势的不可见性的方程是不变的.我们确定了一个容易实现的精确可解模型的PT对称和非PT对称的不可见配置，该模型由光学活性材料组成的两层平板组成。我们的分析表明，虽然PT对称性是既不必要也不充分的散射势的不可见性，它起着重要的作用，在不可见的配置的表征。我们研究的副产品是发现了我们模型的某些配置，这些配置在宽至数百纳米的光谱范围内有效地无反射。
英文摘要：
For a general complex scattering potential defined on a real line, we show that the equations governing invisibility of the potential are invariant under the combined action of parity and time-reversal (PT) transformation. We determine the PT-symmetric an well as non-PT-symmetric invisible configurations of an easily realizable exactly solvable model that consists of a two-layer planar slab consisting of optically active material. Our analysis shows that although PT-symmetry is neither necessary nor sufficient for the invisibility of a scattering potential, it plays an important role in the characterization of the invisible configurations. A byproduct of our investigation is the discovery of certain configurations of our model that are effectively reflectionless in a spectral range as wide as several hundred nanometers.
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