Optimized structures for photonic quasicrystals

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

    Research output: Contribution to journalArticle

    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

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    photonics
    crystals
    permittivity
    thresholds
    symmetry

    ASJC Scopus subject areas

    • Physics and Astronomy(all)

    Cite this

    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

    Optimized structures for photonic quasicrystals. / Rechtsman, Mikael C.; Jeong, Hyeong Chai; Chaikin, Paul M.; Torquato, Salvatore; Steinhardt, Paul J.

    In: Physical Review Letters, Vol. 101, No. 7, 073902, 13.08.2008.

    Research output: Contribution to journalArticle

    Rechtsman, MC, Jeong, HC, Chaikin, PM, Torquato, S & Steinhardt, PJ 2008, 'Optimized structures for photonic quasicrystals', Physical Review Letters, vol. 101, no. 7, 073902. https://doi.org/10.1103/PhysRevLett.101.073902
    Rechtsman MC, Jeong HC, Chaikin PM, Torquato S, Steinhardt PJ. Optimized structures for photonic quasicrystals. Physical Review Letters. 2008 Aug 13;101(7). 073902. https://doi.org/10.1103/PhysRevLett.101.073902
    Rechtsman, Mikael C. ; Jeong, Hyeong Chai ; Chaikin, Paul M. ; Torquato, Salvatore ; Steinhardt, Paul J. / Optimized structures for photonic quasicrystals. In: Physical Review Letters. 2008 ; Vol. 101, No. 7.
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