Plasmon resonance with finite frequencies: a validation of the quasi-static approximation for diametrically small inclusions

Kazunori Ando; Hyeonbae Kang; Hongyu Liu

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arXiv · 1506.03566

Plasmon resonance with finite frequencies: a validation of the quasi-static approximation for diametrically small inclusions

Kazunori Ando·Hyeonbae Kang·Hongyu Liu

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Abstract

We study resonance for the Helmholz equation with a finite frequency in a plasmonic material of negative dielectric constant in two and three dimensions. We show that the quasi-static approximation is valid for diametrically small inclusions. In fact, we quantitatively prove that if the diameter of a inclusion is small compared to the loss parameter, then resonance occurs exactly at eigenvalues of the Neumann-Poincar\'e operator associated with the inclusion.

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Kazunori Ando, Hyeonbae Kang, Hongyu Liu. 2015-06-11. Plasmon resonance with finite frequencies: a validation of the quasi-static approximation for diametrically small inclusions. https://arxiv.org/abs/1506.03566

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