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arXiv · 2201.12492

On plasmon modes in multi-layer structures

Xiaoping Fang·Youjun Deng
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Abstract

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.

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Xiaoping Fang, Youjun Deng. 2022-01-29. On plasmon modes in multi-layer structures. https://arxiv.org/abs/2201.12492

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