General scaling limitations of ground-plane and isolated-object cloaks

We prove that, for arbitrary three-dimensional transformation-based invisibility cloaking of an object above a ground plane or of isolated object, there are practical constraints that increase with the object size. In particular, we show that the cloak thickness must scale proportional to the thickn...

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Bibliographic Details
Published in:arXiv.org 2011-08
Main Authors: Hashemi, Hila, Oskooi, A, Joannopoulos, J D, Johnson, Steven G
Format: Article
Language:English
Subjects:
Ground plane
Lower bounds
Refractivity
Stealth technology
Thickness
Visibility
Online Access:Get full text
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Summary:We prove that, for arbitrary three-dimensional transformation-based invisibility cloaking of an object above a ground plane or of isolated object, there are practical constraints that increase with the object size. In particular, we show that the cloak thickness must scale proportional 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.
ISSN:2331-8422
DOI:10.48550/arxiv.1102.3897