Nonorthogonal pairs of copropagating optical modes in deformed microdisk cavities
Nonorthogonal pairs of copropagating optical modes in deformed microdisk cavities
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DOI：
10.1103/physreva.84.023845
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发表时间：
2011-05
影响因子：
2.9
通讯作者：
J. Wiersig;A. Eberspacher;J. Shim;J. Ryu;S. Shinohara;M. Hentschel;H. Schomerus
中科院分区：
文献类型：
--
作者：
J. Wiersig;A. Eberspacher;J. Shim;J. Ryu;S. Shinohara;M. Hentschel;H. Schomerus
最近，已经表明，螺旋形微盘腔支持高度非正交的共传播模式对，具有优选的旋转方向（空间手性）[J. Wiersig 等人。物理。 Rev. A 78 053809 (2008)]。在这里，我们提供的数值证据表明，此类对是缺乏镜像对称性的变形微盘腔的共同特征。特别是，我们证明不需要空腔边界的不连续性，例如螺旋空腔中的凹口。我们发现模式的非正交性和手性之间的定量关系与有效非厄米哈密顿量的预测非常吻合。给出了与光线追踪模拟的比较。
Recently, it has been shown that spiral-shaped microdisk cavities support highly nonorthogonal pairs of copropagating modes with a preferred sense of rotation (spatial chirality) [ J. Wiersig et al. Phys. Rev. A 78 053809 (2008)]. Here, we provide numerical evidence which indicates that such pairs are a common feature of deformed microdisk cavities which lack mirror symmetries. In particular, we demonstrate that discontinuities of the cavity boundary such as the notch in the spiral cavity are not needed. We find a quantitative relation between the nonorthogonality and the chirality of the modes which agrees well with the predictions from an effective non-Hermitian Hamiltonian. A comparison to ray-tracing simulations is given.