Department of Mathematics
On quasi-static cloaking due to anomalous localized resonance in R3 ON QUASI-STATIC CLOAKING DUE TO ANOMALOUS LOCALIZED RESONANCE IN R3
This work concerns the cloaking due to anomalous localized resonance (CALR) in the quasi-static regime. We extend the related two-dimensional studies in [H. Ammari et al., Arch. Ration. Mech. Anal., 208 (2013), pp. 667-692; R. V. Kohn et al., Comm. Math. Phys., 328 (2014), pp. 1-27] to the three-dimensional setting. CALR is shown not to take place for the plasmonic configuration considered in these two papers in the three-dimensional case. We give two different constructions which ensure the occurrence of CALR. There may be no core or an arbitrarily shaped core for the cloaking device. If there is a core, then the dielectric distribution inside it could be arbitrary.
Anomalous localized resonance, Invisibility cloaking, Plasmonic material
Source Publication Title
SIAM Journal on Applied Mathematics
Society for Industrial and Applied Mathematics
Li Hongjie's work was supported by the NSF of China 11101033. Li Jingzhi's work was partially supported by the NSF of China 11201453 and the Shenzhen Research Program JCYJ20140509143748226. Liu Hongyu's work was supported by the FRG and start-up grants of Hong Kong Baptist University, and the NSF grant of China 11371115.
Link to Publisher's Edition
Li, H., Li, J., & Liu, H. (2015). On quasi-static cloaking due to anomalous localized resonance in R3 ON QUASI-STATIC CLOAKING DUE TO ANOMALOUS LOCALIZED RESONANCE IN R3. SIAM Journal on Applied Mathematics, 75 (3), 1245-1260. https://doi.org/10.1137/15M1009974