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arXiv · 1203.2190

A diameter--bandwidth product limitation of isolated-object cloaking

Hila Hashemi·Cheng Wei Qiu·Alexander P. McCauley·J. D. Joannopoulos·Steven G. Johnson
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Abstract

We show that cloaking of isolated objects 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.

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Hila Hashemi, Cheng Wei Qiu, Alexander P. McCauley, J. D. Joannopoulos, Steven G. Johnson. 2012-03-09. A diameter--bandwidth product limitation of isolated-object cloaking. https://doi.org/10.1103/physreva.86.013804

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