论文标题
从可穿透物体的全波散射的静态表面模式扩展
Static surface mode expansion for the full-wave scattering from penetrable objects
论文作者
论文摘要
我们介绍了纵向和横向静态表面模式，并使用它们来解决可穿透物体的全波电磁散射问题。纵向静态模式是具有静电积分算子的零表面卷曲的本本型，它可以使电场的切向成分作为表面电荷密度的函数。横向静态模式是磁体积分算子的表面差异为零的特征模式，它返回矢量电势的切向分量，这是表面电流分布的函数。静态模式仅取决于对象的形状，因此，无论操作频率和构成对象的材料的频率如何，都可以使用相同的静态基础。我们根据静态表面模式扩展了Poggio-Miller-Chang-harrington-wu-tsai表面积分方程的未知表面电流，并使用Galerkin-Provoction方案解决它们。静态模式的扩展允许奇异积分运算符的正规化，并且与基于子域基础函数的离散化相比，未知数的数量大幅减少。引入的扩展大大降低了粒子阵列中散射问题的数值解所需的CPU时间。
We introduce the longitudinal and transverse static surface modes and use them to solve the full-wave electromagnetic scattering problem from penetrable objects. The longitudinal static modes are the eigenmodes with zero surface curl of the electrostatic integral operator that gives the tangential component of the electric field, as a function of the surface charge density. The transverse static modes are the eigenmodes with zero surface divergence of the magnetostatic integral operator that returns the tangential component of the vector potential, as a function of the surface current distribution. The static modes only depend on the shape of the object, thus, the same static basis can be used regardless of the frequency of operation and of the material constituting the object. We expand the unknown surface currents of the Poggio-Miller-Chang-Harrington-Wu-Tsai surface integral equations in terms of the static surface modes and solve them using the Galerkin-projection scheme. The static modes expansion allows the regularization of the singular integral operators and yields a drastic reduction of the number of unknowns compared to a discretization based on sub-domain basis functions. The introduced expansion significantly reduces the cpu-time required for the numerical solution of the scattering problem from particle arrays.
