TY - JOUR
T1 - On anomalous localized resonance and plasmonic cloaking beyond the quasi-static limit
AU - Li, Hongjie
AU - Liu, Hongyu
N1 - Funding Information:
Data accessibility. This work does not have any experimental data. Competing interests. We have no competing interests. Authors’ contributions. H.L. and H.L. contribute equally to this work. Funding. The work was supported by the FRG and start-up grants from Hong Kong Baptist University and Hong Kong RGC General Research Funds, 12302017 and 12302018.
PY - 2018/10/1
Y1 - 2018/10/1
N2 - In this paper, we give the mathematical construction of novel core-shell plasmonic structures that can induce anomalous localized resonance and invisibility cloaking at certain finite frequencies beyond the quasistatic limit. The crucial ingredient in our study is that the plasmon constant and the loss parameter are constructed in a delicate way that are correlated and depend on the source and the size of the plasmonic structure. As a significant by-product of this study, we also derive the complete spectrum of the Neumann–Poincáre operator associated with the Helmholtz equation with finite frequencies in the radial geometry. The spectral result is the first one in its type and is of significant mathematical interest for its own sake.
AB - In this paper, we give the mathematical construction of novel core-shell plasmonic structures that can induce anomalous localized resonance and invisibility cloaking at certain finite frequencies beyond the quasistatic limit. The crucial ingredient in our study is that the plasmon constant and the loss parameter are constructed in a delicate way that are correlated and depend on the source and the size of the plasmonic structure. As a significant by-product of this study, we also derive the complete spectrum of the Neumann–Poincáre operator associated with the Helmholtz equation with finite frequencies in the radial geometry. The spectral result is the first one in its type and is of significant mathematical interest for its own sake.
KW - Anomalous localized resonance
KW - Beyond quasi-static limit
KW - Core-shell structure
KW - Neumann–Poincáre operator
KW - Plasmonic material
KW - Spectral
UR - http://www.scopus.com/inward/record.url?scp=85056495644&partnerID=8YFLogxK
U2 - 10.1098/rspa.2018.0165
DO - 10.1098/rspa.2018.0165
M3 - Journal article
AN - SCOPUS:85056495644
SN - 1364-5021
VL - 474
JO - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
JF - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
IS - 2218
ER -