论文标题
几何光学的扩展对称性
Extended symmetries in geometrical optics
论文作者
论文摘要
我们研究了在众所周知的完美成像和掩饰现象中使用的特定折射指数曲线的其他对称性。在考虑的情况下，平移发生器和角动量是保守的。我们通过运动积分表达射线轨迹参数，并观察具有最大角动量的光子状态的存在，该光子态可用作光学谐振器。讨论了等离子体中的应用和极化的作用，并预测了旋转大厅的效应。
We examine additional symmetries of specific refraction index profiles that are used in the well-known phenomena of perfect imaging and cloaking.In the considered cases, the translation generator and the angular momentum are conserved. We express the ray trajectory parameters through the integrals of motion and observe the existence of a photon state with maximal angular momentum, which can be used as an optical resonator. Application in plasmons and the role of polarization are discussed, and the Spin Hall effect in an extended symmetry profile is predicted.
