无曲率奇点的光波导短程透镜的设计

在Ｓｏｔｔｉｎｉ等人提出的求解非球面光波导短程透镜一般解析方法的基础上，研究了卷边函数对透镜旋转母线曲率的影响。指出具有连续二阶导数的母线，可有效地消除曲率奇点，从而在理论上能够减小由于波导弯曲造成的导光损耗。基于这种观点，提出了一种新的卷边函数，求得了透镜轮廓的表达式，进而求得了透镜深度，并与Ｓｏｔｔｉｎｉ等人的解进行了比较。

Design of the Optical Waveguide Geodesic Lens Without Curvature Singularity

Based on the general analytical method of designing aspherical optical waveguide geodesic lens, the effect of rounded-edge on the curvature behavior of lens depression profile has been studied. It is pointed out that taking profile of continuous second derivative can eliminate the curvature singularity effectively and diminish the radiation loss of guided light due to waveguide bending. A new rounded-edge function has been presented by which the lens depression profile and the depth of lens can be obtained and comparison with the particular solution given by Sottini et al. is made.