ABSTRACT

Eaton lens is a typical gradient index lens which has many noble properties. The refractive index of the lens has a singularity at the center of the lens. The singularity makes the generalized Eaton lens rotate waves at arbitrary deflecting angles. The analytic solutions of the generalized Eaton lens were studied herein. The solutions were obtained from a nonlinear equation of various order. Only four deflecting angles produced analytic solutions: 2π, π, π/2, and π/3. The solutions of the other angles are obtained by numerical calculations only. The refractive indices and trajectories at the four angles were plotted. The possible application areas of the lens were discussed.

摘要

Eaton镜片是一种典型的渐变折射率镜片，具有许多高贵的特性。透镜的折射率在透镜的中心具有奇异性。奇异性使广义的伊顿透镜以任意偏转角旋转波。本文研究了广义伊顿透镜的解析解。从各种阶数的非线性方程获得解。只有四个偏转角产生了解析解：2π，π，π/ 2和π/ 3。其他角度的解仅通过数值计算获得。绘制了四个角度的折射率和轨迹。讨论了镜片的可能应用领域。