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

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

2012-03-09

arxiv.org/abs/1203.2190v1

Physics

Optics

8 pages, 2 figures

Scientific paper

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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