TY - JOUR
T1 - ON ANOMALOUS LOCALIZED RESONANCE FOR THE ELASTOSTATIC SYSTEM
AU - LI, HONGJIE
AU - LIU, HONGYU
PY - 2016
Y1 - 2016
N2 - We consider the anomalous localized resonance due to a plasmonic structure for the elastostatic system in ℝ2. The plasmonic structure takes a general core-shell-matrix form with the metamaterial located in the shell. If there is no core, we show that resonance occurs for a very broad class of sources. If the core is nonempty and of an arbitrary shape, we show that there exists a critical radius such that resonance occurs for a certain class of sources lying within the critical radius, whereas resonance does not occur for a certain class of sources lying outside the critical radius. Our argument is based on a variational technique by making use of the primal and dual variational principles for the elastostatic system, along with the construction of suitable test functions. © 2016, Society for Industrial and Applied Mathematics.
AB - We consider the anomalous localized resonance due to a plasmonic structure for the elastostatic system in ℝ2. The plasmonic structure takes a general core-shell-matrix form with the metamaterial located in the shell. If there is no core, we show that resonance occurs for a very broad class of sources. If the core is nonempty and of an arbitrary shape, we show that there exists a critical radius such that resonance occurs for a certain class of sources lying within the critical radius, whereas resonance does not occur for a certain class of sources lying outside the critical radius. Our argument is based on a variational technique by making use of the primal and dual variational principles for the elastostatic system, along with the construction of suitable test functions. © 2016, Society for Industrial and Applied Mathematics.
KW - anomalous localized resonance
KW - Eeastostatics
KW - plasmonic material
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U2 - 10.1137/16M1059023
DO - 10.1137/16M1059023
M3 - RGC 21 - Publication in refereed journal
VL - 48
SP - 3322
EP - 3344
JO - SIAM Journal on Mathematical Analysis
JF - SIAM Journal on Mathematical Analysis
SN - 0036-1410
IS - 5
ER -