Larger bandgap of elliptical cylinders in two-dimensional double-layer photonic crystals

We investigate the bandgap properties of two-dimensional double-layer photonic crystals composed of elliptical cylinders in square and triangular lattices, considering cylinders formed of dielectric cores surrounded by interfacial layers of air in magnesium fluoride background. Using the plane-wave numerical expansion method, the bandgap spectrum for the cylinders covered by air rings is obtained for different structural parameters, such as the radius, orientation angle, and lattice constant. The results show that the bandgap of the two-dimensional double-layer photonic crystal is greatly improved compared with traditional two-dimensional photonic crystal and the triangular lattice presents a larger bandgap than the square lattice. The optimal structure parameters to broaden the bandgap are presented.