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

Autor: Hashemi, Hila, Qiu, Cheng Wei, McCauley, Alexander P., Joannopoulos, J. D., Johnson, Steven G.
Rok vydání: 2012
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevA.86.013804
Popis: 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.
Comment: 8 pages, 2 figures
Databáze: arXiv