On the scattering by a biperiodic structure
On the scattering by a biperiodic structure
复制标题
DOI：
10.1090/s0002-9939-00-05509-x
复制
发表时间：
2000-04
期刊：
影响因子：
--
通讯作者：
G. Bao;D. Dobson
中科院分区：
文献类型：
--
作者：
G. Bao;D. Dobson
考虑电磁波被双周期结构散射。该结构将整个空间分为三个区域：结构上方和下方的介质被假定为均匀的。在结构内部，介质被假定为由有界可测介电系数定义。给定结构和入射到结构上的时谐电磁平面波，散射（方向）问题是预测远离结构的场分布。本文将问题化为有界区域，用变分法求解。主要结果证明了W中弱解的存在唯一性。
Consider scattering of electromagnetic waves by a nonmagnetic biperiodic structure. The structure separates the whole space into three regions: above and below the structure the medium is assumed to be homogeneous. Inside the structure, the medium is assumed to be de ned by a bounded measurable dielectric coe cient. Given the structure and a timeharmonic electromagnetic plane wave incident on the structure, the scattering (di raction) problem is to predict the eld distributions away from the structure. In this note, the problem is reduced to a bounded domain and solved by a variational method. The main result establishes existence and uniqueness of the weak solutions in W .