本文将满足均匀矢量亥姆霍兹方程的标准矢量波函数作为基矢对对称型闪耀光栅槽内、外的电磁场分别进行矢量模式和矢量平面波展开。然后通过在槽内外分界面上的场耦合条件得到一组振幅系数方程组。从方程组中求解出相应的振幅系数,就可研究光栅的衍射场分布。该方法适用于对称型闪耀光栅对任意入射方向、任意偏振态入射场衍射问题的研究。在K_2=0入射情况下,其振幅方程组与已发表的文献[6]相同。

Using the normal vector wave functions, which satisfies the vector homogeneous helmholtz equation, as the basis vectors, the fields inside the grooves of the grating are expanded by the vector modes, while the fields outside of the grooves are expanded by the vector pseudoplane wave functions. Applying field coupling conditions, diffraction equation for the amplitudes are derived. The method can be used to study the diffraction of optical plane waves with arbitrary incident direction and polarization direction. The results for the special cases of P-and S-polarization are well consitent with that given by Ref.[6].