Asymmetric scattering and nonorthogonal mode patterns in optical microspirals
Asymmetric scattering and nonorthogonal mode patterns in optical microspirals
复制标题
DOI：
10.1103/physreva.78.053809
复制
发表时间：
2008-10
影响因子：
2.9
通讯作者：
J. Wiersig;Sang Wook Kim;M. Hentschel
中科院分区：
文献类型：
--
作者：
J. Wiersig;Sang Wook Kim;M. Hentschel
开放系统中的双束缚态一般不形成正交和完备基。然而，预期的非正交性是弱的情况下，良好的限制状态，除了接近一个所谓的例外点在参数空间。我们提出的数值证据表明，无源光学微螺旋腔的非正交性是显着的参数制度是相当广泛的。在这里，我们观察到几乎简并对良好的限制模式是高度非正交的。使用非厄米模型哈密顿量，我们证明了这一有趣的现象是有关的螺旋几何中的顺时针和逆时针传播的波之间的非对称散射。射线动力学的数值模拟揭示了一个明确的射线波对应。
Quasibound states in an open system do not in general form an orthogonal and complete basis. It is, however, expected that the nonorthogonality is weak in the case of well-confined states, except close to a so-called exceptional point in parameter space. We present numerical evidence showing that for passive optical microspiral cavities the parameter regime where the nonorthogonality is significant is rather broad. Here we observe almost-degenerate pairs of well-confined modes which are highly nonorthogonal. Using a non-Hermitian model Hamiltonian we demonstrate that this interesting phenomenon is related to the asymmetric scattering between clockwise and counterclockwise propagating waves in the spiral geometry. Numerical simulations of ray dynamics reveal a clear ray-wave correspondence.