Superluminal group velocity in an anisotropic metamaterial

Abstract

Based on boundary condition and dispersion relation, the superluminal group velocity in an anisotropic metamaterial (AMM) is investigated. The superluminal propagation is induced by the hyperbolic dispersion relation associated with the AMM. It is shown that a modulated Gaussian beam exhibits a superluminal group velocity which depends on the choice of incident angles and optical axis angles. The superluminal propagation does not violate the theory of special relativity because the group velocity is the velocity of the peak of the localized wave packet which does not carry information. It is proposed that a triglycine sulfate (TGS) crystal can be designed and the superluminal group velocity can be measured experimentally.

9 pages, 3 figures

References in corpus (4)

• Electromagnetic Wave Propagation in Media with Indefinite Permittivity and Permeability Tensors
• Anisotropy and oblique total transmission at a planar negative-index interface
• Amphoteric refraction at the interface between isotropic and anisotropic media
• Refraction of Electromagnetic Energy for Wave Packets Incident on a Negative Index Medium is Always Negative

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• Extinction theorem and propagation of electromagnetic waves between two semi-infinite anisotropic magnetoelectric materials
• Polarization-sensitive propagation in an anisotropic metamaterial with double-sheeted hyperboloid dispersion relation
• Anomalous propagations of electromagnetic waves in anisotropic media with a unique dispersion relation