Diameter-bandwidth product limitation of isolated-object cloaking
Name
Hashemi-2012-Diameter-bandwidth product limitation of isolated-object cloaking.pdf
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Author(s)
Joannopoulos, John D.
McCauley, Alexander Patrick
Hashemi, Hila
Johnson, Steven G.
Qui, Cheng-Wei
Date Issued
July 2012
Journal
Physical Review A
Publisher
American Physical Society
Citation
Hashemi, Hila et al. “Diameter-bandwidth Product Limitation of Isolated-object Cloaking.” Physical Review A 86.1 (2012): 013804. © 2012 American Physical Society.
Version
Final published version
Abstract
We show that cloaking of isolated objects using transformation-based cloaks is subject to a diameter-bandwidth product limitation: as the size of the object increases, the bandwidth of good (small-cross-section) cloaking decreases inversely with the diameter, as a consequence of causality constraints even for perfect fabrication and materials with negligible absorption. This generalizes a previous result that perfect cloaking of isolated objects over a nonzero bandwidth violates causality. Furthermore, we demonstrate broader causality-based scaling limitations on any bandwidth-averaged cloaking cross section, using complex analysis and the optical theorem to transform the frequency-averaged problem into a single-scattering problem with transformed materials.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1103/PhysRevA.86.013804
