@article{5ad35a865f094741af3ebbc625712963,
title = "On Quasi-static cloaking due to anomalous localized resonance in R3",
abstract = "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.",
keywords = "Anomalous localized resonance, Invisibility cloaking, Plasmonic material",
author = "Hongjie Li and Jingzhi Li and Hongyu Liu",
note = "Funding information: School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, 100081, People?s Republic of China (2120131349@bit.edu.cn). This author{\textquoteright}s work was supported by the NSF of China 11101033. Department of Mathematics, South University of Science and Technology of China, Shenzhen 518055, People{\textquoteright}s Republic of China (li.jz@sustc.edu.cn). This author{\textquoteright}s work was partially supported by the NSF of China 11201453 and the Shenzhen Research Program JCYJ20140509143748226. Department of Mathematics, Hong Kong Baptist University, Kowloon Tong, Hong Kong SAR, and HKBU Institute of Research and Continuing Education, Virtual University Park, Shenzhen, People{\textquoteright}s Republic of China (hongyu.liuip@gmail.com). This author{\textquoteright}s work was supported by the FRG and start-up grants of Hong Kong Baptist University, and the NSF grant of China 11371115. Publisher copyright: {\textcopyright} 2015, Society for Industrial and Applied Mathematics",
year = "2015",
month = jun,
day = "11",
doi = "10.1137/15M1009974",
language = "English",
volume = "75",
pages = "1245--1260",
journal = "SIAM Journal on Applied Mathematics",
issn = "0036-1399",
publisher = "Society for Industrial and Applied Mathematics (SIAM)",
number = "3",
}