Optimized structures for photonic quasicrystals

Mikael C. Rechtsman, Hyeong Chai Jeong, Paul M. Chaikin, Salvatore Torquato, Paul J. Steinhardt

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Abstract

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.

Original languageEnglish (US)
Article number073902
JournalPhysical Review Letters
Volume101
Issue number7
DOIs
StatePublished - Aug 13 2008

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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    Rechtsman, M. C., Jeong, H. C., Chaikin, P. M., Torquato, S., & Steinhardt, P. J. (2008). Optimized structures for photonic quasicrystals. Physical Review Letters, 101(7), [073902]. https://doi.org/10.1103/PhysRevLett.101.073902