标题： 小体积高对比度多层材料的共振定理 显示英文标题

标题： Theorem of resonance of Small Volume High Contrast multilayered materials

摘要： 数学上将复合材料的性质与其共振响应之间关系进行表述的需求正在增长。 这是由于微材料制造技术的快速发展，例如在芯片中即可体现。 本文提出了两个定理，提供了在极化率系数较高和几何特征的基础上，双层和多层小体积的散射共振公式。 复合介质的光谱测量可以利用该公式来检测其尺寸和极化率指数。 显示英文摘要

摘要： The need of mathematically formulate relations between composite materials' properties and its resonance response is growing. This is due the fast technological advancement in micro-material manufacturing, present in chips for instance. In this paper two theorems are presented, providing formulas of scattering resonance of double-layered and multilayered small volumes in terms of the coefficient of susceptibility, being high, and the geometric characteristics. Spectroscopy measurements of the composite medium can exploit the formula to detect its dimension and susceptibility index.