A semi-Dirac point and an electromagnetic topological transition in a dielectric photonic crystal

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Abstract

Accidental degeneracy in a photonic crystal consisting of a square array of elliptical dielectric cylinders leads to both a semi-Dirac point at the center of the Brillouin zone and an electromagnetic topological transition (ETT). A perturbation method is deduced to affirm the peculiar linear-parabolic dispersion near the semi-Dirac point. An effective medium theory is developed to explain the simultaneous semi-Dirac point and ETT and to show that the photonic crystal is either a zero-refractive-index material or an epsilon-near-zero material at the semi-Dirac point. Drastic changes in the wave manipulation properties at the semi-Dirac point, resulting from ETT, are described.©2014 Optical Society of America.
Original languageEnglish (US)
Pages (from-to)1906
JournalOptics Express
Volume22
Issue number2
DOIs
StatePublished - Jan 21 2014

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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