PLASMON RESONANCE WITH FINITE FREQUENCIES : A VALIDATION OF THE QUASI-STATIC APPROXIMATION FOR DIAMETRICALLY SMALL INCLUSIONS
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 731-749 |
| Journal / Publication | SIAM Journal on Applied Mathematics |
| Volume | 76 |
| Issue number | 2 |
| Online published | 31 Mar 2016 |
| Publication status | Published - 2016 |
| Externally published | Yes |
Link(s)
Abstract
We study resonance for the Helmholtz 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 an inclusion is small compared to the loss parameter, then resonance occurs exactly at eigenvalues of the Neumann{Poincare operator associated with the inclusion. © 2016 Society for Industrial and Applied Mathematics
Research Area(s)
- eigenvalues, finite frequency, Helmholtz equation, Neumann-Poincaré operator, plasmon resonance, quasi-static limit
Citation Format(s)
PLASMON RESONANCE WITH FINITE FREQUENCIES: A VALIDATION OF THE QUASI-STATIC APPROXIMATION FOR DIAMETRICALLY SMALL INCLUSIONS. / ANDO, KAZUNORI; KANG, HYEONBAE ; LIU, HONGYU.
In: SIAM Journal on Applied Mathematics, Vol. 76, No. 2, 2016, p. 731-749.
In: SIAM Journal on Applied Mathematics, Vol. 76, No. 2, 2016, p. 731-749.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
