Complete Band Gaps in 2D Photonic Quasicrystals
Marian Florescu, Salvatore Torquato, Paul J. Steinhardt

TL;DR
This paper presents a new optimization approach to design 2D photonic quasicrystals with large, isotropic complete band gaps, expanding the possibilities for photonic device applications.
Contribution
The authors develop a novel optimization method to create photonic quasicrystals with significant, complete, and isotropic band gaps for the first time.
Findings
Achieved substantial complete band gaps in 2D photonic quasicrystals.
Demonstrated isotropic band gaps for 5- and 8-fold symmetric quasicrystals.
Method applicable to arbitrary rotational symmetries.
Abstract
We introduce a novel optimization method to design the first examples of photonic quasicrystals with substantial, complete photonic band gaps (PBGs): that is, a range of frequencies over which electromagnetic wave propagation is forbidden for all directions and polarizations. The method can be applied to photonic quasicrystals with arbitrary rotational symmetry; here, we illustrate the results 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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