标题： 表面纳米线的极化率：一般几何结构的精确解 显示英文标题

标题： Polarizability of nanowires at surfaces: Exact solution for general geometry

摘要： 纳米结构的极化率是一个决定其光学性质的重要参数。 利用双极坐标、余弦和正弦变换，推导出由两个部分组成的任意埋入基底中的圆柱体几何结构的静电极化率的精确半解析解。 基于所提出的表达式，我们分析了在等离激元学中重要的几种金属纳米线几何结构的极化率。 我们的结果提供了关于金属纳米线表面极化率中多个共振之间相互作用的物理见解。 显示英文摘要

摘要： The polarizability of a nanostructure is an important parameter that determines the optical properties. An exact semi-analytical solution of the electrostatic polarizability of a general geometry consisting of two segments forming a cylinder that can be arbitrarily buried in a substrate is derived using bipolar coordinates, cosine-, and sine-transformations. Based on the presented expressions, we analyze the polarizability of several metal nanowire geometries that are important within plasmonics. Our results provide physical insight into the interplay between the multiple resonances found in the polarizability of metal nanowires at surfaces.