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math.AP2020★ 1 cited
Surface localization of plasmons in three dimensions and convexity
Kazunori Ando, Hyeonbae Kang, Yoshihisa Miyanishi +1
The Neumann--Poincaré operator defined on a smooth surface has a sequence of eigenvalues converging to zero, and the single layer potentials of the corresponding eigenfunctions, ca…
math.AP2015★ 4 cited
Plasmon resonance with finite frequencies: a validation of the quasi-static approximation for diametrically small inclusions
Kazunori Ando, Hyeonbae Kang, Hongyu Liu
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-sta…