Complete band gaps in two-dimensional photonic quasicrystals

Princeton Center for Theoretical Sciences, Princeton University, Princeton, New Jersey 08544, USA(Dated: July 22, 2010)We introduce a novel optimization method to design the first examples of photonic quasicrystalswith substantial, complete photonic band gaps (PBGs): that is, a range of frequencies over whichelectromagnetic wave propagation is forbidden for all directions and polarizations. The methodcan be applied to photonic quasicrystals with arbitrary rotational symmetry; here, we illustrate theresults for 5- and 8-fold symmetric quasicrystals. The optimized band gaps are highly isotropic,which may offer advantages over photonic crystals for certain applications.

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