瑞利索莫菲衍射与物理光学积分的应用比较

Correlation between Rayleigh-Somerfield diffraction and physical optics integration

针对准光学中电磁场传播的计算问题,研究了从不同角度出发所采用的瑞利索莫菲标量衍射积分公式和基于矢量的物理光学积分公式内在的一致性与区别.首先从物理概念上区分这两种积分方法,然后在平行口面间电磁场传播的条件下,讨论两种积分公式的一致性.借助高斯波束传播解析解作对比,分别应用两种积分方法实现了高斯波束传播的数值仿真,给出了二者在处理电磁场传播问题时的精度与处理矢量衍射时的不同应用.

To calculate the propagation of electromagnetic field in quasi-optics,the internal consistency and distinction between different approaches were researched respectively from Rayleigh-Somerfield scalar diffraction integration and vectorial physical optics integration.The two integration methods were firstly distinguished from physical conception,and then the consistency was discussed in the condition that electromagnetic field propagates between parallel planes.Propagation of the Gaussian beam was numerically simulated respectively by the two integration methods and compared with the analytical solution result.Precision of the two methods in handling problems of electromagnetic field propagation and different applications in vectorial diffraction problems was finally proposed.