28 September 2007 Semiclassical theory of hyperlensing and cloaking
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We develop the ray optic Hamiltonian for a cylindrically anisotropic medium such as the hyperlens using the semiclassical approximation, which reveals an interesting spiralling behaviour of ray trajectories and also gives an alternative explanation to the subdiffraction far field imaging behaviour of the device. The Hamiltonian can be further used to derive the material parameters needed for non magnetic cloaking. Numerical simulations of gaussian beam scattering from these devices confirm the respective semiclassical results.
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Zubin Jacob, Leonid V. Alekseyev, Evgenii Narimanov, "Semiclassical theory of hyperlensing and cloaking", Proc. SPIE 6638, Photonic Metamaterials, 66380L (28 September 2007); doi: 10.1117/12.758756; https://doi.org/10.1117/12.758756

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