论文标题
在多层结构中的等离子体模式上
On plasmon modes in multi-layer structures
论文作者
论文摘要
在本文中，我们考虑了多层结构中的等离子体共振。考虑了与均匀分布的背景场相关的电导率问题。我们表明，等离子模式等于矩阵的特征值问题，该矩阵的阶与层数相同。对于任何数量的层，确切的特征多项式是通过猜想得出的，并通过使用诱导验证。结果表明，特征多项式的所有根都是真实的，并且存在于跨度[-1，2]中。给出了用于查找所有等离子模式的数值示例，令人惊讶的是，发现这种多层结构可能会诱导所谓的表面 - 平面 - 谐音样带。
In this paper, we consider the plasmon resonance in multi-layer structures. The conductivity problem associated with uniformly distributed background field is considered. We show that the plasmon mode is equivalent to the eigenvalue problem of a matrix, whose order is the same to the number of layers. For any number of layers, the exact characteristic polynomial is derived by a conjecture and is verified by using induction. It is shown that all the roots to the characteristic polynomial are real and exist in the span [-1, 2]. Numerical examples are presented for finding all the plasmon modes, and it is surprisingly to find out that such multi-layer structures may induce so called surface-plasmon-resonance-like band.
