任意梯度折射率介质中光线追迹的仿真与分析

针对研究光线传输问题，光线在任意梯度折射率介质中的传输路径难以用解析式给出精确解，通常采用数值方法求解，而欧拉法、龙格库塔法和泰勒级数展开法，正是针对介质中光线传输进行追迹的数值方法。在对折射率离散分布介质中的光线追迹过程中，所需空阊点的折射率及其梯度采用距离加权插值和Barron梯度算子进行求解。通过对任意梯度折射率介质中的光线传输进行仿真，并将仿真结果与解析解进行比较和分析，结果表明龙格库塔法的追迹精度最高，泰勒级数展开法次之，而欧拉法的相对最低；此外，光线追迹精度还受到追迹步长和插值方法精度的影响。

Simulation and Analysis of Ray Tracing in Discretionary Gradient Refraction Index Medium

Generally,the ray transmission track of discretionary gradient refraction index medium can not be exactly expressed by analytic representation.Numerical methods are usually used to solve this problem,and Euler,Runge-Kutta,and Taylor series expansion are three kinds of these numerical methods.During the ray tracing process in discrete medium,the distance-weighed interpolation method and Barron arithmetic operator are used to calculate refraction index and gradient.At last,the three ray tracing methods are ap...