Semi-Dirac dispersion relation in photonic crystals

  title={Semi-Dirac dispersion relation in photonic crystals},
  author={Ying Wu},
  • Ying Wu
  • Published 1 December 2013
  • Physics
A semi-Dirac cone refers to a peculiar type of dispersion relation that is linear along the symmetry line but quadratic in the perpendicular direction. Here, I demonstrate that a photonic crystal consisting of a square array of elliptical dielectric cylinders is able to produce this particular dispersion relation in the Brillouin zone center. A perturbation method is used to evaluate the linear slope and to affirm that the dispersion relation is a semi-Dirac type. Effective medium parameters… 
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