论文标题
具有增益和损失的不等尺寸介电圆柱体的损失补偿对称性
Loss compensation symmetry of unequally sized dielectric cylinders with gain and loss
论文作者
论文摘要
采用严格的分析方法来解决具有复杂介电常数的一对圆形电介质缸的特征值问题。这种方法取决于两组正交方位角模式的场膨胀，这些模式是由于圆柱体之间有限的距离而耦合的。我们研究了在基本TM模式下运行的增益二电动缸的能力，以补偿以高阶径向TM模式运行的较大圆柱体的材料损失。为了实现这种损失补偿现象，制定了简单的设计策略。结果表明，可以在圆柱体之间的一定距离上实现这种现象，这与系统的特殊点有关。对于较小的距离，发现高阶方位角（混合）模式的不利影响至关重要。获得的结果通过全波模拟进行验证。
A rigorous analytical approach is applied to solve the eigenvalue problem for a pair of circular dielectric cylinders with complex permittivity. This approach relies on field expansion in terms of two sets of orthogonal azimuthal modes, which are coupled due to finite distance between the cylinders. We investigate the ability of a gain-dielectric cylinder operated in the fundamental TM mode to compensate material losses of a larger cylinder operated in the higher-order radial TM mode. To achieve such a loss compensation phenomenon, a simple design strategy is developed. It is shown that this phenomenon can be achieved for a certain distance between the cylinders, which is associated with the exceptional point of the system. For smaller distances, the adverse impact of high-order azimuthal (hybrid) modes are found to be essential. The results obtained are validated against full-wave simulations.
