Abstract—A method is proposed for calculating the optical resonance properties of metal–dielectric core–shell nanoparticles with an arbitrary number of layers in the shell. A formula is calculated for a particle with a single-layer shell, which confirms the well-known experimental and theoretical result. A formula is derived that relates the polarizability of a particle and its optical properties for the structure of a core with a spherical double shell.

中文翻译：

---

金属-介电核-壳纳米粒子

摘要—提出了一种方法，用于计算壳中具有任意层的金属-电介质核-壳纳米粒子的光学共振特性。计算出具有单层壳的粒子的公式，证实了众所周知的实验和理论结果。得出一个公式，该公式将粒子的极化率及其光学特性与具有球形双壳的核的结构联系起来。