TY - JOUR
T1 - ANALYSIS OF ELECTROMAGNETIC SCATTERING FROM PLASMONIC INCLUSIONS BEYOND THE QUASI-STATIC APPROXIMATION AND APPLICATIONS
AU - Li, Hongjie
AU - Li, Shanqiang
AU - Liu, Hongyu
AU - Wang, Xianchao
PY - 2019/7
Y1 - 2019/7
N2 - This paper is concerned with the analysis of time-harmonic electromagnetic scattering from plasmonic inclusions in the finite frequency regime beyond the quasi-static approximation. The electric permittivity and magnetic permeability in the inclusions are allowed to be negative-valued. Using layer potential techniques for the full Maxwell system, the scattering problem is reformulated into a system of integral equations. We derive the complete eigensystem of the involved matrix-valued integral operator within spherical geometry. As applications, we construct two types of plasmonic structures such that one can induce surface plasmon resonances within finite frequencies and the other one can produce invisibility cloaking. It is particularly noted that the cloaking effect is a newly found phenomenon and is of different nature from those existing ones for plasmonic structures in the literature. The surface plasmon resonance result may find applications in electromagnetic imaging.
AB - This paper is concerned with the analysis of time-harmonic electromagnetic scattering from plasmonic inclusions in the finite frequency regime beyond the quasi-static approximation. The electric permittivity and magnetic permeability in the inclusions are allowed to be negative-valued. Using layer potential techniques for the full Maxwell system, the scattering problem is reformulated into a system of integral equations. We derive the complete eigensystem of the involved matrix-valued integral operator within spherical geometry. As applications, we construct two types of plasmonic structures such that one can induce surface plasmon resonances within finite frequencies and the other one can produce invisibility cloaking. It is particularly noted that the cloaking effect is a newly found phenomenon and is of different nature from those existing ones for plasmonic structures in the literature. The surface plasmon resonance result may find applications in electromagnetic imaging.
KW - Beyond quasi-static limit
KW - Cloaking
KW - Electromagnetic scattering
KW - Finite frequencies
KW - Plasmonic inclusions
KW - Surface plasmon resonances
UR - http://www.scopus.com/inward/record.url?scp=85069507985&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-85069507985&origin=recordpage
U2 - 10.1051/m2an/2019004
DO - 10.1051/m2an/2019004
M3 - RGC 21 - Publication in refereed journal
SN - 0764-583X
VL - 53
SP - 1351
EP - 1371
JO - ESAIM: Mathematical Modelling and Numerical Analysis
JF - ESAIM: Mathematical Modelling and Numerical Analysis
IS - 4
ER -