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In this paper, we begin with the metric which describes the propagation of the extraordinary ray in the hyperbolic metamaterials as the following: equation in which εo > 0 and εe < 0. We are interested in the z = const and also rescale the radial coordinate by ρ = √εor such that equation which γ2 = |εe/εo|. By considering the coordinate transformation X = ρ cosh γφ and Y = ρ sinh γφ, we can...
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