Abstract
The photonic band structures for two types of zinc blende structures are computed using the plane wave expansion method. Both structures are formed from an array of dielectric balls in a vacuum background. In the first type of structure the basis on the FCC lattice is composed of two balls of equal radii but of different dielectric composition. In the second type of structure the basis is composed of two balls of different radii which are composed of identical dielectric materials. The lowest frequency band gaps are studied in the first system as a function of the dielectric contrast ratio of the balls and in the second system as a function of the filling fraction ratio of the balls. In the first system it is found that by increasing the difference of the dielectric constants, the frequency gap can be increased from that observed in the limit of the diamond structure. In the second system the largest gap is observed in the limits of the diamond structure.
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