电磁波在横向分层不均匀介质上的反射与透射的解析研究

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。从所获得的解我们得知，介质的非均匀性可改变入射波的强度分布和偏振状态，这种改变取决于多种因素，比如介质非均匀的具体形式，入射波的入射和偏振方向等；反射波的强度分布可被也可不被改变，取决于波和介质的参数

An Analytical Study of the Transmission and Reflection of Electromagnetic Wave from Lateral Layered Dielectrics

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. From the solutions we find that the non-uniformity of the dielectrics changes the intensity distribution and polarity of the EM wave. These changes depend on factors such as the distribution of non uniformity, incident angle and polarization direction of the incident wave. The intensity distribution of the reflected wave may or may not be affected.