2018/09/23 by Blasten, Eemeli, Hongjie Li, Li, Hongjie +4 · 2 citations
Engineering · Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · #Plasmonic and Surface Plasmon Research #Diffusion and Search Dynamics #Advanced Differential Geometry Research
paper · pdf · doi:10.48550/arxiv.1809.08533
This paper reports some novel and intriguing discoveries about the localization and geometrization phenomenon in plasmon resonances and the intrinsic geometric structures of Neumann-Poincaré eigenfunctions. It is known that plasmon resonance generically occurs in the quasi-static regime where the size of the plasmonic inclusion is sufficiently small compared to the wavelength. In this paper, we show that the global smallness condition on the plasmonic inclusion can be replaced by a local high-curvature condition, and the plasmon resonance occurs locally near the high-curvature point of the plasmonic inclusion. We provide partial theoretical explanation and link with the geometric structures of the Neumann- Poincaré (NP) eigenfunctions. The spectrum of the Neumann-Poincaré operator has received significant attentions in the literature. We show for the first time some intrinsic geometric structures of the Neumann-Poincaré eigenfunctions near high-curvature points.