From the Helmholtz equation, the optical field analytical expression of an ultrashort pulse propagating through a small aperture lens was acquired with chromatic and spherical aberration.

• 摘要从亥姆霍兹方程出发，考虑透镜的色差和球差，得到了超短脉冲经过小数值口径透镜后光场的解析表达式；