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arXiv 1208.4644physics.optics
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正负折射率材料平衡的反对称PT光子晶体结构

Antisymmetric PT-photonic structures with balanced positive and negative index materials

Li Ge, H. E. Tureci

备注：
5 pages, 4 figures
发表信息：
Phys. Rev. A 88, 053810 (2013)
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摘要：

我们提出了一类新的合成光学材料，其中的折射率满足$n(-\bx)=-n^*(\bx)$。我们称这样的系统反对称奇偶时间（APT）结构。与需要平衡增益和损耗的PT对称系统（即$n(-\bx)=n^*(\bx)$）不同，APT系统由平衡的正折射率材料和负折射率材料组成。尽管表面上PT对称的光学势$V(\bx)\equiv n(\bx)^2ω^2/c^2$，APT系统是不恒定的组合PT操作下，由于波函数的空间导数的不连续性。我们发现，APT系统可以显示有趣的属性，如自发相变的散射矩阵，双向不可见性，和连续的激光光谱。

英文摘要：

We propose a new class of synthetic optical materials in which the refractive index satisfies $n(-\bx)=-n^*(\bx)$. We term such systems antisymmetric parity-time (APT) structures. Unlike PT-symmetric systems which require balanced gain and loss, i.e. $n(-\bx)=n^*(\bx)$, APT systems consist of balanced positive and negative index materials. Despite the seemingly PT-symmetric optical potential $V(\bx)\equiv n(\bx)^2ω^2/c^2$, APT systems are not invariant under combined PT operations due to the discontinuity of the spatial derivative of the wavefunction. We show that APT systems can display intriguing properties such as spontaneous phase transition of the scattering matrix, bidirectional invisibility, and a continuous lasing spectrum.

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