基于空间解析几何与矢量形式的折射定理为基础,研究了非球面、非轴对称的激光束准直光学系统,并对空间光线的传输进行了严格的理论推导,得出了光束发散角的传递矩阵递推公式,并对激光束的发散角进行了优化设计。利用激光束质量诊断仪对准直系统的发散角进行了实验测试,结果表明准直系统能达到较高的准直精度。本设计方法能广泛应用于复杂的非球面光学系统设计中。
Based on the spatial analytic geometry and the refraction law (in vector form) ,an aspheric and asymmetrical collimation optical system was studied. Space propagation rules for laser beam were strictly deduced, and the transfer matrixes formulae were obtained for the laser beam divergence angle. Laser beam divergence angle was designed by the optimization methods. Divergence angle for collimation system was measured by laser beam analyzer,the result indicated that the collimation system can achieve high collimation precision.