Abstract
The photonic band structure of a two-dimensional hexagonal lattice of air cylinders embedded in an ionic crystal is calculated using the plane-wave method. The dielectric function of the ionic crystal is taken as , with , , and denoting the high-frequency dielectric constant, and the transverse and longitudinal optical phonon frequencies, respectively. The frequencies of the electromagnetic modes are determined from the zeros of the determinants of the matrix equation. Due to the strong coupling between the photon and transverse optical phonon, the photonic band dispersions are suppressed and photonic band gaps are easier to open up in comparison with those of non-ionic media. Our study also suggests that the plane-wave method gives reliable photonic bands only for frequency below .
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