论文标题
具有任意横向对称性的光子晶体的分析非热元描述
Analytical non-Hermitian description of Photonic Crystals with arbitrary Lateral and Transverse symmetry
论文作者
论文摘要
在这项工作中，我们提出了一种一般的理论方法，用于建模在光锥保护光锥的保护之外，在光子晶体板中运行的泄漏光学模式的复杂色散特征。波浪引导共振到自由空间连续体的开放访问为模式耦合工程提供了大量额外的自由度。这两个光栅不仅可以通过近场耦合进行通信，而且还可以通过传播的辐射场进行夫妇。我们的分析模型，基于非富米顿（Non-Hermitian Hamiltonian），包括两个耦合方案，允许对可以在Uni维光光子晶体中生成的宽阔的光学模式进行统一描述。通过各种说明性示例，我们表明我们的理论方法提供了这些模式的简化分类，但它也是发现新型光子物种的强大推动力。最后，作为概念验证，我们在实验中证明了越野脉中三个结合状态的二脏点的形成，这是这项工作中讨论的最受欢迎的光子特征。
In this work we propose a general theoretical approach to the modelling of complex dispersion characteristics of leaky optical modes operating in photonic crystal slab composed of two high-index contrast gratings, beyond the protection of the light cone. Opening access of wave-guided resonances to free space continuum provides large amount of extra degrees of freedom for mode coupling engineering. Not only can the two gratings communicate via near field coupling, but they are also allowed to couple via the propagating radiated field. Our analytical model, based on a non-Hermitian Hamiltonian, including both coupling schemes, allows for a unified description of the wide family of optical modes which may be generated within uni-dimensional photonic crystal. Through a variety of illustrative examples, we show that our theoretical approach provide a simplified categorization of these modes, but it is also a powerful enabler for the discovery of novel photonic species. Finally, as proof-of-concept, we demonstrate experimentally the formation of a Dirac point at the merging of three bound states in the continuum that is the most achieved photonic specie discussed in this work.
