General scaling limitations of ground-plane and isolated-object cloaks
Author(s)
Hashemi, Hila; Oskooi, Ardavan; Joannopoulos, John; Johnson, Steven G
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We prove that, for arbitrary three-dimensional transformation-based invisibility cloaking of an object above a ground plane or of isolated objects, there are practical constraints that increase with the object size. In particular, we show that the cloak thickness must scale proportionally to the thickness of the object being cloaked, assuming bounded refractive indices, and that absorption discrepancies and other imperfections must scale inversely with the object thickness. For isolated objects, we also show that bounded refractive indices imply a lower bound on the effective cross section.
Date issued
2011-08Department
Massachusetts Institute of Technology. Institute for Soldier Nanotechnologies; Massachusetts Institute of Technology. Department of Mathematics; Massachusetts Institute of Technology. Department of PhysicsJournal
Physical Review A
Publisher
American Physical Society
Citation
Hashemi, Hila et al. “General scaling limitations of ground-plane and isolated-object cloaks.” Physical Review A 84 (2011): n. pag. Web. 17 Nov. 2011. © 2011 American Physical Society
Version: Final published version
ISSN
1050-2947
1094-1622