Realization of Dirac Point with Double Cones in Optics

TL;DR

This paper demonstrates how to realize a Dirac point with double cones in optical metamaterials, showing that light near this point exhibits pseudodiffusive behavior similar to electrons in graphene.

Contribution

It introduces a method to create Dirac points in optical systems using homogenous metamaterials with specific refractive index variations.

Findings

Dirac points can be realized in optical metamaterials with refractive index changing from negative to zero to positive.

Light near the Dirac point shows pseudodiffusive behavior with a 1/L scaling law.

Analytical and numerical analyses confirm the existence and properties of the optical Dirac point.

Abstract

The Dirac point with a double-cone structure for optical fields, an optical analogy Dirac fermions in graphene, can be realized in optically homogenous metamaterials. The condition for the realization of Dirac point in optical systems is the varying of refractive index from negative to zero and then to positive. Our analytical and numerical analysis have verified that, similar to electrons in graphene, the light field near the Dirac point possesses of the pseudodiffusive property, obeying the 1/L scaling law, where L is the propagating distance of light inside the media.