Perfect Broadband Invisibility in Isotropic Media with Gain and Loss

Abstract

We outline a method for constructing effectively two-dimensional isotropic optical media that are perfectly and omnidirectionally invisible for both TE and TM waves provided that their wavenumber does not exceed a preassigned value $\alpha$. This relies on the observation that a complex scattering potential $v(x,y)$ displays perfect invisibility for wavenumbers $k\le \alpha$ provided that its Fourier transform with respect to $y$, which we denote by $\tilde{v}(x,{\mathfrak{K}}_y)$, vanishes for ${\mathfrak{K}}_y\le 2\alpha$. We use this result to construct the permittivity profile for a realistic optical slab that is perfectly invisible in the wavenumber window $[0,\alpha ]$.

12 pages, 2 figures

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