Non-Euclidean cloaking for light waves
arXiv:0906.4491 · doi:10.1109/JSTQE.2009.2032514
Abstract
Non-Euclidean geometry combined with transformation optics has recently led to the proposal of an invisibility cloak that avoids optical singularities and therefore can work, in principle, in a broad band of the spectrum [U. Leonhardt and T. Tyc, Science 323, 110 (2009)]. Such a cloak is perfect in the limit of geometrical optics, but not in wave optics. Here we analyze, both analytically and numerically, full wave propagation in non-Euclidean cloaking. We show that the cloaking device performs remarkably well even in a regime beyond geometrical optics where the device is comparable in size with the wavelength. In particular, the cloak is nearly perfect for a spectrum of frequencies that are related to spherical harmonics. We also show that for increasing wavenumber the device works increasingly better, approaching perfect behavior in the limit of geometrical optics.
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- Partial Transmutation of Singularities in Optical Instruments
- Fresnel-Fizeau drag: Invisibility conditions for all inertial observers
- Cloaking and anamorphism for light and mass diffusion
- Plus-minus construction leads to perfect invisibility
- Realizing broadband electromagnetic transparency with a graded-permittivity sphere
- Geodesic conformal transformation optics: manipulating light with continuous refractive index profile