Wu Bingbing, Wu Bei, Xu Jing, Xiao Junjun, Chen Yuntian
Opt Express. 2016 Jul 25;24(15):16566-73. doi: 10.1364/OE.24.016566.
We study the coupling of mode in time for non-Hermitian cavities. Using variational principle, we provide a self-consistent approach to study the mode hybridization in non-Hermitian cavities from the first-principle of Maxwell's equations. We first extend the reaction concept for time reversal adjoint system using the scalar inner product. We apply our theory to the non-Hermitian parity-time symmetric cavities, and obtain excellent agreement with results obtained by finite element fullwave simulations. In contrast, the conventional coupled mode theory using complex inner product fails to capture the bifurcation of the dispersion of parity-time symmetric cavities, as non-Hermicity increases. Our theory may have potential applications in non-Hermitian optical systems.
我们研究了非厄米腔中模式的时间耦合。利用变分原理，我们从麦克斯韦方程组的第一原理出发，提供了一种自洽的方法来研究非厄米腔中的模式杂化。我们首先使用标量内积扩展了时间反演伴随系统的反应概念。我们将我们的理论应用于非厄米宇称-时间对称腔，并与有限元全波模拟得到的结果取得了很好的一致性。相比之下，使用复内积的传统耦合模理论无法捕捉到随着非厄米性增加，宇称-时间对称腔色散的分岔现象。我们的理论可能在非厄米光学系统中有潜在的应用。
