Spectral analysis of the Neumann Poincare operator on touching disks and analysis of plasmon resonance
Jung, YoungHoon ; Lim, Mikyoung
arXiv, 1810.12486 / Harvested from arXiv
Text on arXiv
We consider the Neumann Poincare operator on domains generated by two touching disks. There can be two types of such domains, each of which has a cusp point at the touching point of two circles. For each domain we define a Hilbert space on which the Neumann Poincare operator is self-adjoint and continuous. Then we computed the complete spectral resolution of the operator. The Neumann Poincare operator has only the absolutely continuous spectrum on the real line [-1/2,1/2]. As an application, we analyze the localized surface plasmon resonance of a crescent-shaped domain.
Publié le : 2018-10-29
Classification:  Mathematics - Analysis of PDEs 
@article{1810.12486,
     author = {Jung, YoungHoon and Lim, Mikyoung},
     title = {Spectral analysis of the Neumann Poincare operator on touching disks and
  analysis of plasmon resonance},
     journal = {arXiv},
     volume = {2018},
     number = {0},
     year = {2018},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1810.12486}
}

Jung, YoungHoon; Lim, Mikyoung. Spectral analysis of the Neumann Poincare operator on touching disks and
  analysis of plasmon resonance. arXiv, Tome 2018 (2018) no. 0, . http://gdmltest.u-ga.fr/item/1810.12486/