平面上无限长开槽衍射问题的一个新解法

取导体平面上无限长开槽的衍射问题。 设开槽位于z—x面上,开槽的边缘平行于z轴,由x=±a,y=0表出。设z—x平面的厚度为零而且是完全导电的。设一平面波由正y方向入射(垂直入射见图1),极化情况是:入射磁场只有一个H_z分量而电场只有一个E_z分量,而所有的电磁量均与z坐标无关,故文献1]的方法可用。与这个问题相对应的静磁问题是:具有宽度为2a的裂缝的导体平面对均匀磁场的透过问题。这个问题的解,可用复数位函数表出:

A NEW METHOD OF SOLVING THE PROBLEM OF DIFFRACTION BY A NARROW SLIT

The problem of diffraction by a narrow slit in an infinitely thin and perfectly conducting plane is solved by a method developed in the accompanied paper, from the known solution of the corresponding magnetostatic problem.