TY - JOUR
T1 - PLASMON RESONANCE WITH FINITE FREQUENCIES
T2 - A VALIDATION OF THE QUASI-STATIC APPROXIMATION FOR DIAMETRICALLY SMALL INCLUSIONS
AU - ANDO, KAZUNORI
AU - KANG, HYEONBAE
AU - LIU, HONGYU
PY - 2016
Y1 - 2016
N2 - 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
AB - 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
KW - eigenvalues
KW - finite frequency
KW - Helmholtz equation
KW - Neumann-Poincaré operator
KW - plasmon resonance
KW - quasi-static limit
UR - http://www.scopus.com/inward/record.url?scp=84964808628&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-84964808628&origin=recordpage
U2 - 10.1137/15M1025943
DO - 10.1137/15M1025943
M3 - RGC 21 - Publication in refereed journal
VL - 76
SP - 731
EP - 749
JO - SIAM Journal on Applied Mathematics
JF - SIAM Journal on Applied Mathematics
SN - 0036-1399
IS - 2
ER -