GTD应用中任意凸曲面表面爬行波射线寻迹

Ray Path Tracing on Convex Surface with Applications to the Geometrical Theory of Diffraction

射线寻迹是几何绕射理论 (GTD)解决高频电磁散射和辐射问题的关键步骤 .本文通过引入动态规划的数学优化方法 ,得到了任意凸曲面表面绕射射线的一般寻迹规划模型 .并对无限长圆柱、旋转抛物面和任意构造的一凸曲面上爬行射线进行了寻迹计算 ,结果表明模型方法是正确的 .该方法还可以应用到非均匀媒质任意凸曲面的爬行射线寻迹 .

Ray path tracing is a key step to apply geometrical theory of diffraction in solving the problems of high frequency electromagnetic scattering and radiating.The paper introduces a dynamic programming method and gives the algorithm model for ray tracing on any convex surfaces.The algorithm model is tested by tracing the ray path on infinite cylinder.The method can be applied to trace the ray path on arbitrary convex surface with inhomogeneous media.