Negative Refraction Gives Rise to the Klein Paradox

Abstract

Electromagnetic negative refraction in metamaterials has attracted increasingly great interest, since its first experimental verification in 2001. It potentially leads to the applications superior to conventional devices including compact antennas for mobile stations, imaging beyond the diffraction limit, and high-resolution radars, not to mention the anamolous wave propagation in fundamental optics. Here, we report how metamaterials could be used to simulate the "negative refraction of spin-zero particles interacting with a strong potential barrier", which gives rise to the Klein paradox--a counterintuitive relativistic process. We address the underlying physics of analogous wave propagation behaviours in those two entirely different domains of quantum and classical.

4 journal pages, 2 figures

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• Field-induced decay of quantum vacuum: visualizing pair production in a classical photonic system
• Dual-band, double-negative, polarization-independent metamaterial for the visible spectrum
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• Hyperbolic Metamaterial Feasible for Fabrication with Direct Laser Writing Processes
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• Physical realization of Photonic Klein Tunneling
• Massive Klein Tunneling in Topological Photonic Crystals
• The focusing effect of electron flow and negative refraction in three dimensional topological insulators
• Super-Klein tunneling of Klein-Gordon particles
• Klein tunneling of light in fiber Bragg gratings