Abstract
We present a semiclassical description of non-magnetic cloaking. The semiclassical result is confirmed by numerical simulations of a gaussian beam scattering from the cloak. Further analysis reveals that certain beams penetrate the non-magnetic cloak thereby degrading the performance.
Highlights
A lot of interest has been focussed on the phenomenon of cloaking, which deals with hiding objects from electromagnetic fields [1,2,3,4,5,6,7,8,9,10]
Rays striking the cloak can be represented as a gaussian beam scattering from the cloak with some impact parameter p
Starting with the family of ray trajectories that bend around a certain region in space we have derived the dielectric response required for non magnetic cloaking
Summary
A lot of interest has been focussed on the phenomenon of cloaking, which deals with hiding objects from electromagnetic fields [1,2,3,4,5,6,7,8,9,10]. While a straightforward extension of this device to the optical regime is problematic due to the difficulities in achieving a magnetic response at high frequencies, the issue was addressed with a design that relies on dielectric anisotropy [4]. An analysis of the cloaking performance relies on full wave numerical techniques [7] but it is desirable to obtain an intuitive approach for optimiziation and understanding sensitivity of the device to various parameters. We present a description of the non magnetic cloak using the semiclassical approximation which can aid in a better design and identify the regimes of operation of the device. We confirm the semiclassical result by numerical simulations of gaussian beam scattering from the cloak which reveal the bending of the gaussian beam around the cloaked region. We identify that the origin of the unique isotropic scattered intensity present even in a reflectionless design [9] is essentially due to this on axis component of the incident radiation
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