ON QUASI-STATIC CLOAKING DUE TO ANOMALOUS LOCALIZED RESONANCE IN R-3

Li, Hongjie1; Li, Jingzhi2; Liu, Hongyu3,4

2015

10.1137/15M1009974

SIAM JOURNAL ON APPLIED MATHEMATICS   影响因子和分区

0036-1399

1095-712X

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 plasmonic material invisibility cloaking

SCI ; EI

英语

其他

Shenzhen Research Program[JCYJ20140509143748226]

Mathematics

Mathematics, Applied

WOS:000357404500017

SIAM PUBLICATIONS

20153101081648

Plasmonics

Materials Science:951

MATHEMATICS

Web of Science

1.Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China
2.South Univ Sci & Technol China, Dept Math, Shenzhen 518055, Peoples R China
3.Hong Kong Baptist Univ, Dept Math, Hong Kong, Hong Kong, Peoples R China
4.Virtual Univ Pk, HKBU Inst Res & Continuing Educ, Shenzhen, Peoples R China

Li, Hongjie,Li, Jingzhi,Liu, Hongyu. ON QUASI-STATIC CLOAKING DUE TO ANOMALOUS LOCALIZED RESONANCE IN R-3[J]. SIAM JOURNAL ON APPLIED MATHEMATICS,2015,75(3):1245-1260.

Li, Hongjie,Li, Jingzhi,&Liu, Hongyu.(2015).ON QUASI-STATIC CLOAKING DUE TO ANOMALOUS LOCALIZED RESONANCE IN R-3.SIAM JOURNAL ON APPLIED MATHEMATICS,75(3),1245-1260.

Li, Hongjie,et al."ON QUASI-STATIC CLOAKING DUE TO ANOMALOUS LOCALIZED RESONANCE IN R-3".SIAM JOURNAL ON APPLIED MATHEMATICS 75.3(2015):1245-1260.