Optimized structures for photonic quasicrystals.
A photonic quasicrystal consists of two or more dielectric materials arranged in a quasiperiodic pattern with noncrystallographic symmetry that has a photonic band gap. We use a novel method to find the pattern with the widest TM-polarized gap for two-component materials. Patterns are obtained by computing a finite sum of density waves, assigning regions where the sum exceeds a threshold to a material with one dielectric constant, epsilon1, and all other regions to another, epsilon0. Compared to optimized crystals, optimized quasicrystals have larger gaps at low constrasts epsilon1/epsilon0 and have gaps that are much more isotropic for all contrasts. For high contrasts, optimized hexagonal crystals have the largest gaps.
Rechtsman
Mikael C
MC
Department of Physics, Princeton University, Princeton, New Jersey 08544, USA.
Jeong
Hyeong-Chai
HC
Chaikin
Paul M
PM
Torquato
Salvatore
S
Steinhardt
Paul J
PJ