Transformation Optics scheme for two-dimensional materials

Two dimensional optical materials, such as graphene can be characterized by a surface conductivity. So far, the transformation optics schemes have focused on three dimensional properties such as permittivity $ε$ and permeability $μ$. In this paper, we use a scheme for transforming surface currents to highlight that the surface conductivity transforms in a way different from $ε$ and $μ$. We use this surface conductivity transformation to demonstrate an example problem of reducing scattering of plasmon mode from sharp protrusions in graphene.

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