Abstract
It is shown that negative refractions exist in two-dimensional photonic crystals consisting of centered rectangular lattices of elliptical dielectric rods in air. These lattices can be considered as deviated structures from well-studied, strict hexagonal lattices. There is a tolerance of negative refractions to deviations of structural parameters from the hexagonal lattice, indicating certain flexibilities for fabrication process for these photonic crystals including the hexagonal one.
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