光学微螺旋中的非对称散射和非正交模式图案
Asymmetric scattering and non-orthogonal mode patterns in optical micro-spirals
摘要:
开放系统中的准束缚态一般不形成正交和完全基。然而,预计非正交性是弱的情况下,良好的限制状态,除了接近参数空间中的所谓的例外点。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。
英文摘要:
Quasi-bound states in an open system do in general not form an orthogonal and complete basis. It is, however, expected that the non-orthogonality 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 non-orthogonality is significant is rather broad. Here we observe almost-degenerate pairs of well-confined modes which are highly non-orthogonal. 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.
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