Abstract
In this paper, we analyze how transformation optics recipes can be applied to control the flow of surface plasmons on metal–dielectric interfaces. We study in detail five different examples: a cylindrical cloak, a beam shifter, a right-angle bend, a lens and a ground-plane cloak. First, we demonstrate that only the modification of the electric permittivity and magnetic permeability in the dielectric side can lead to almost perfect functionalities for surface plasmons. We also show that, thanks to the quasi two-dimensional (2D) character of surface plasmons and their inherent polarization, applying conformal and quasiconformal mapping techniques allows one to design plasmonic devices in which only the isotropic refractive index of the dielectric film needs to be engineered.
Highlights
surface plasmon polaritons (SPPs) shifterAnother potential plasmonic device is the parallel shifter [19], which acts on an incident beam by translating it perpendicularly to its propagation direction
It has recently been shown that Transformation optics (TO) recipes can be applied to efficiently mould the flow of surface plasmon polaritons (SPPs) [19]–[23]
We have demonstrated that the application of the concept of transformation optics to plasmonics brings into the field unprecedented control over the flow of SPPs
Summary
Another potential plasmonic device is the parallel shifter [19], which acts on an incident beam by translating it perpendicularly to its propagation direction. A 3D SPP parallel shifter should, in principle, be composed of a slab in the dielectric side sized d × l × hd with permitivittyTO and permeability μTO along with a slab in the metal film of dimensions d × l × hm and parameters = ˆTO · m and μ = μTO. The height of the slabs at each side must be larger than the SPP decay length in that medium. In this case, the TO medium parameters are anisotropic but homogeneous and take non-singular values
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