TY - JOUR
T1 - Optimized structures for photonic quasicrystals
AU - Rechtsman, Mikael C.
AU - Jeong, Hyeong Chai
AU - Chaikin, Paul M.
AU - Torquato, Salvatore
AU - Steinhardt, Paul J.
PY - 2008/8/13
Y1 - 2008/8/13
N2 - 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, 1, and all other regions to another, 0. Compared to optimized crystals, optimized quasicrystals have larger gaps at low constrasts 1/0 and have gaps that are much more isotropic for all contrasts. For high contrasts, optimized hexagonal crystals have the largest gaps.
AB - 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, 1, and all other regions to another, 0. Compared to optimized crystals, optimized quasicrystals have larger gaps at low constrasts 1/0 and have gaps that are much more isotropic for all contrasts. For high contrasts, optimized hexagonal crystals have the largest gaps.
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U2 - 10.1103/PhysRevLett.101.073902
DO - 10.1103/PhysRevLett.101.073902
M3 - Article
AN - SCOPUS:49749127044
SN - 0031-9007
VL - 101
JO - Physical Review Letters
JF - Physical Review Letters
IS - 7
M1 - 073902
ER -