For the case of a plane EM wave incident on a lateral layered dielectrics, Maxwell equations are reduced to Mathieu equation and Hill equation from which solutions of closed forms can be obtained.

• 对平面电磁波入射到横向分层不均匀介质上时的情形，麦克斯韦方程组可简化成马丢（Mathieu）方程和希尔（Hil）方程，据此可获得透射波和反射波场的解析表达式。