梯度折射率棒中传播的高斯光束轨迹解析解及其存在条件的讨论

Discussion on Analytical Solution for Gaussian Beam Path in Gradient Index Rods and its Existing Condition

本文提出光束轨迹方程的一般解，导出解析解的存在条件，推广了文献［１］的光线传播理论，文中以一特定梯度折射率棒为例，讨论了高斯光束在棒中的传播特性。

A general solution for beam path equation is proposed and the condition for theexistence of analytical solution is derived.The ray propagation theory of Ref.[1]isgeneralized. Finally,as an example,the characteristics of Gaussian beam propagation in aparticular gradient index rod is also discussed.