高斯光束经非线性指数型发散梯度折射率棒透镜的成像公式

Imaging Formulas of Gaussian Beams of Light through a Nonlinear Exponential-Type Divergent Graded-Index Rod Lens

用抛物函数近似非线性指数型折射率的线性部分，导出高斯光束经非线性指数型发散梯度折射率棒透镜的成像公式。几何光学条件近似下得到的简化成像公式与几何光学理论得到的精确解比较，误差很小。

The imaging formulas of Gaussian beams of light passing through a nonlinear exponential-type divergent graded-index rod lens are derived by approximating the parabolic function to the linear part of the nonlinear exponential-type index. The errors of the simplified imaging formulas under the geometric optics approximation arc small which are compared with the imaging formulas obtained by the geometic optics theory.