论文标题
通过梯度折射率的不均匀1D介电层散射平面波
Scattering of a plane wave by an inhomogeneous 1D dielectric layer with gradient refractive index
论文作者
论文摘要
我们提出了一种新方法，用于计算在有限厚度的一维电介质介质上，任意极化的电磁平面波的反射和传输系数，并且具有介电介电常数是坐标的任意连续功能。我们已经表明，通过不均匀层散射的平面波散射的问题被简化为一阶微分方程系统，该系统包含折射率索引的衍生物或层的介电介电常数，例如在搜索分析解决方案时，可以使用。该方法还使得在层内获得场强的分布变得容易。将使用此方法获得的反射光谱和基于MATHIEU函数的分析解决方案进行了比较。
We propose a new method for calculating reflection and transmission coefficients for an arbitrarily polarized electromagnetic plane wave incident on a one-dimensional dielectric medium of finite thickness and with dielectric permittivity being an arbitrary continuous function of the coordinate. We have shown that the problem of plane wave scattering by an inhomogeneous layer is reduced to a system of first order differential equations that contain the derivative of the refractive index or dielectric permittivity of the layer, which can be used, for example, when searching for an analytical solution. This method also makes it easy to obtain the distribution of the field strength within the layer. The reflection spectra and field distribution obtained using this method were compared with the analytical solution based on Mathieu functions.
