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Opt Express. 2015 Apr 20;23(8):10444-52. doi: 10.1364/OE.23.010444.

Numerical investigation of the flat band Bloch modes in a 2D photonic crystal with Dirac cones.

Optics express

Peng Zhang, Chris Fietz, Philippe Tassin, Thomas Koschny, Costas M Soukoulis

PMID: 25969086 DOI: 10.1364/OE.23.010444

Abstract

A numerical method combining complex-k band calculations and absorbing boundary conditions for Bloch waves is presented. We use this method to study photonic crystals with Dirac cones. We demonstrate that the photonic crystal behaves as a zero-index medium when excited at normal incidence, but that the zero-index behavior is lost at oblique incidence due to excitation of modes on the flat band. We also investigate the formation of monomodal and multimodal cavity resonances inside the photonic crystals, and the physical origins of their different line-shape features.

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