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.硬边光阑的情况可作为其它光阑的特例得到,其它光阑也可视作硬边光阑来处理.数值计算表明了该方法快速的优点,并得到与用Collins公式直接积分一致结果.

By using the Fourier series expansion, approximate analytical propagation equations of laser beams through a paraxial optical ABCD system with different apertures are derived. The hardedged aperture can be regarded as a special case treated here, while the other apertures can also be dealt with as a hardedged apterture. Numerical calculations show the advantage of our method and the consistency with the results by means of the Collins formula.