Abstract
Two different designs of 2D photonic crystal lattices that exhibit large complete photonic band gaps have been recently proposed [1] : (1) honey-comb lattice with two different hole radii; (2) "tri-ellipse" pattern in a triangular lattice. We perform a full 3D analysis of guided and leaky modes in vertically symmetric slabs based on these lattices. Guided modes are obtained through the plane-wave expansion method (PWEM) with a vertical supercell. Leaky modes are obtained through a finite difference time domain (FDTD) analysis with a combination of Bloch and perfectly matched layers boundary conditions. The analysis is carried out for both even and odd modes with respect to the plane bisecting the slab. It turns out that the classical 2D effective index method predicts a false bandgap in odd modes for high-indexcontrast photonic crystal slabs studied here.
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