基于扁椭球面坐标系下非傍轴高斯光束的电场分布表达式, 给出非傍轴LG10模高斯光束的远场电场振幅分布表达式; 分析了非傍轴LG00模和LG10模高斯光束的远场电场振幅分布特性; 计算了非傍轴与傍轴高斯光束远场电场振幅分布的匹配效率和二阶矩参量的相对计算误差。分析表明, 当扁椭球坐标系的半焦距远大于波长时, 非傍轴LG00模和LG10模高斯光束的远场电场振幅分布趋近于傍轴LG00模和LG10模高斯光束的远场电场振幅分布。

Based on the expressions of electric field distributions of non-paraxial Gaussian beams in the oblate ellipsoid coordinate system, an expression of far-field electric field amplitude distribution of the non-paraxial LG10 mode Gaussian beam is given. The characteristics of far-field electric field amplitude distributions of the Gaussian beams with non-paraxial LG00 mode and non-paraxial LG10 mode are analyzed. The matching effciencies of the far-field electric field amplitude distributions and the relative calculation errors of the second-order moment parameters of the electric field intensity distributions of the non-paraxial and paraxial Gaussian beams are calculated. It is shown that the far-field electric field amplitude distributions of the non-paraxial LG00 mode and LG10 mode Gaussian beams tend to coincide with the far-field electric field amplitude distributions of the paraxial LG00 mode and LG10 mode Gaussian beams when the half of focal length of the oblate ellipsoid coordinate system is much larger than the wavelength.