Extremal transmission at the Dirac point of a photonic band structure

By R. Sepkhanov, Y. Bazaliy, C. Beenakker. 2007

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We calculate the effect of a Dirac point (a conical singularity in the band structure) on the transmission of monochromatic radiation through a photonic crystal. The transmission as a function of frequency has an extremum near the Dirac point, depending on the transparencies of the interfaces with free space. The extremal transmission T{sub 0}={gamma}{sub 0}W/L is inversely proportional to the longitudinal dimension L of the crystal (for L larger than the lattice constant and smaller than the transverse dimension W). The interface transparencies affect the proportionality constant {gamma}{sub 0}, and they determine whether the extremum is a minimum or a maximum, but they do not affect the 'pseudodiffusive' 1/L dependence of T{sub 0}.

Subfields: Atomic and Molecular Physics, and Optics, Biomedical Engineering, Civil and Structural Engineering

View Paper: https://www.semanticscholar.org/paper/d09aa3b4f9fdc99b18e122ed4c306db047174004