Non-singular cloaks allow mimesis

TL;DR

This paper introduces non-singular cloaks that enable objects to mimic the wave scattering of smaller or differently shaped objects, with potential applications in quantum and optical systems.

Contribution

It presents a novel generalized non-singular transformation for cloaking that achieves mimesis of wave scattering for objects of arbitrary shape and size.

Findings

Cloaks can make objects scatter waves like smaller or differently shaped objects.

Numerical demonstrations show effective wave scattering mimicry.

The approach extends to quantum super-scatterers with negative effective mass and potential.

Abstract

We design non-singular cloaks enabling objects to scatter waves like objects with smaller size and very different shapes. We consider the Schrodinger equation which is valid e.g. in the contexts of geometrical and quantum optics. More precisely, we introduce a generalized non-singular transformation for star domains, and numerically demonstrate that an object of nearly any given shape surrounded by a given cloak scatters waves in exactly the same way as a smaller object of another shape. When a source is located inside the cloak, it scatters waves as if it would be located some distance away from a small object. Moreover, the invisibility region actually hosts almost-trapped eigenstates. Mimetism is numerically shown to break down for the quantified energies associated with confined modes. If we further allow for non-isomorphic transformations, our approach leads to the design of quantum super-scatterers: a small size object surrounded by a quantum cloak described by a negative anisotropic heterogeneous effective mass and a negative spatially varying potential scatters matter waves like a larger nano-object of different shape. Potential applications might be for instance in quantum dots probing.