论文标题
干扰陷阱在开放系统中波浪：连续体中的绑定状态
Interference traps waves in open system: Bound states in the continuum
论文作者
论文摘要
我回顾了连续体（BIC）中绑定状态的四种机制，以应用于微波炉和声学腔，向方向波导开放。最简单的是由对称性受保护的BIC，由于特征模的正交性与波导的传播模式是正交性的。但是，当BIC是出现外向谐振模式的全部破坏性干扰的结果时，最一般和最有趣的是弗里德里希·韦特根机制。当每个谐振器都可以用作理想的镜子时，BIC的第三种BIC，Fabry-Perot BICS出现在双谐振系统中。最后，意外的BIC可以在开放式空腔中实现，没有像开放的西奈台球那样的对称性，即谐振器的特征模型可以通过特征模型的平稳变形而意外地意外地与波导的连续体变得正交。我们还回顾了一个一维系统，其中BIC发生的是由于两种被自旋或极化或Aharonov-bohm环中的路径分离的波的全部破坏性干扰。我们广泛使用与耦合模式理论相当的有效非热汉密尔顿的方法，该方法通过发现零宽度的共振来检测连续体（BICS）中的结合状态。
I review the four mechanisms of bound states in the continuum (BICs) in application to microwave and acoustic cavities open to directional waveguides. The most simple are the symmetry protected BICs which are localized inside the cavity because of the orthogonality of the eigenmodes to the propagating modes of waveguides. However, the most general and interesting is the Friedrich-Wintgen mechanism when the BICs are result of full destructive interference of outgoing resonant modes. The third type of the BICs, the Fabry-Perot BICs, occur in a double resonator system when each resonator can serve as an ideal mirror. At last, the accidental BICs can be realized in the open cavities with no symmetry like the open Sinai billiard in which the eigenmode of the resonator can become orthogonal to the continuum of the waveguide accidentally by a smooth deformation of the eigenmode. We also review the one-dimensional systems in which the BICs occur owing to full destructive interference of two waves separated by spin or polarization or by paths in the Aharonov-Bohm rings. We widely use the method of effective non-Hermitian Hamiltonian equivalent to the coupled mode theory which detects bound states in the continuum (BICs) by finding zero widths resonances.
