Abstract

We calculated the out-of-plane band structure of a two-dimensional dispersive photonic crystal (PC). To achieve this goal, the plane wave expansion method was implemented in conjunction with a numerical algorithm, the dispersive photonic crystal iterative method. The PC is an array of circular cross-sectional dispersive MgO Lorentz single-pole rods in a square lattice. The frequency bands are calculated starting at $\mathrm{\Gamma }$ as a function of the oblique component of the wave vector. For the lowest frequencies, it was found that the modes bend drastically to the horizon as the dielectric constant $ϵ(\omega )$ is increased to a very positive value. For frequencies above the longitudinal optical phonon circular frequency, where $ϵ(\omega )$ has very low positive values, the expected degeneration occurs in the transparency window, and a line of modes behaves close to the line of light.

© 2018 Optical Society of America

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