中文摘要：

研究时谐平面波在非均匀层状介质中的散射问题。设背景介质在x2方向是分层的,在x3方向不变,并且有一非均匀散射体位于此背景介质中。首先将此问题简化为二维散射问题,然后利用积分方程方法,探讨此问题的可解性,给出解结构的精确描述。

英文摘要：

The scattering of plane time-harmonic electromagnetic waves in an inhomogeneous layered environment is considered.The background structure is layered in x2-direction and invariant in x3-direction,in which an inhomogeneous scatterer is embedded.First,the problem is simplified to a two-dimensional scattering problem.Then,the solvability of the scattering problem is presented by an integral equation method.The exact representation of solution to the model problem is given.