论文标题
出生的帕德方法在复杂的一维非均匀板中进行电磁散射的方法
Born-Padé approach to electromagnetic scattering in complex one-dimensional inhomogeneous slabs
论文作者
论文摘要
扰动理论应用于一维散射系统，该系统由一般类别的不均匀和同性恋平板组成，其尺寸$ l $由相对介电常数$ \ VAREPSILON（Z）= 1 +αχ（z）$，其中$χ（z）$是电敏感性和$α$ the usptibation和$α$。透射和反射振幅被证明是以$α$的幂为生的序列和padé近似值的出生序列，用于获得具有较高和任意程度的准确性的分析结果。该方法非常通用，可以处理倾斜的发生率。给出了示例，用于与赫尔米尼和非弱点结构相互作用的平面波的传播和反射幅度，并具有已知且未知的精确溶液。
Perturbation theory is applied to one-dimensional scattering systems consisting of a general class of inhomogeneous and isotropic slabs having size $L$ described by the relative permittivity $\varepsilon(z) = 1 + αχ(z)$, where $χ(z)$ is the electric susceptibility and $α$ the perturbation parameter. The transmitted and reflected amplitudes are shown to be written as Born series in powers of $α$ and Padé approximants are used to obtain analytical results with a high and arbitrary degree of accuracy. The approach is very general and can handle oblique incidence. Examples are given for the transmission and reflection amplitudes of plane waves interacting with Hermitian and non-Hermitian structures with known and unknown exact solutions.
