A diameter--bandwidth product limitation of isolated-object cloaking
arXiv:1203.2190 · doi:10.1103/PhysRevA.86.013804
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.
8 pages, 2 figures
References in corpus (11)
- Achieving transparency with plasmonic coatings
- Hiding Under the Carpet: a New Strategy for Cloaking
- Full-wave simulations of electromagnetic cloaking structures
- Calculation of material properties and ray tracing in transformation media
- Silicon nanostructure cloak operating at optical frequencies
- Confirmation of Cylindrical Perfect Invisibility Cloak Using Fourier-Bessel Analysis
- Electromagnetic cloaking by layered structure of homogeneous isotropic materials
- Notes on Conformal Invisibility Devices
- Cylindrical Invisibility Cloak with Simplified Material Parameters is Inherently Visible
- Electromagnetic cloaking in the visible frequency range
- Time delays and energy transport velocities in three dimensional ideal cloaking