based on the collins formula and sylvester theorem, the propagation equation of gaussian beams passing through a multi-gaussian apertured paraxial optical abcd system is derived.
对高斯光束通过有硬边光阑近轴abcd光学系统的传输进行了研究 ,采用将矩形函数展开为复高斯函数的技巧 ,推导出了近似的解析传输公式。
by using the fourier series expansion, approximate analytical propagation equations of laser beams through a paraxial optical abcd system with different apertures are derived.
用傅立叶级数展开法研究光束通过有光阑限制的近轴abcd光学系统的传输特性,导出了光阑透射率函数不同时的传输公式。
the condition has been discussed, under which sg beams preserve their shape and order, while passing through paraxial optical systems.
还研究了超高斯光束通过近轴光学系统时,保持其形状和阶数不变的条件。
it can avoid numerical integral that was commonly used in the previous study of spectral shift problems, and can be applied to any paraxial optical systems.
解析的分析方法避免了已往处理部分相干光频谱演化时采用数值积分所带来的计算冗长的问题,并且适用于任意的傍轴光学系统。