Jia, LinBita, IonThomas, Edwin L.2017-01-312017-01-312011Jia, Lin, Bita, Ion and Thomas, Edwin L.. "Impact of Geometry on the TM Photonic Band Gaps of Photonic Crystals and Quasicrystals." <i>Physical Review Letters,</i> 107, no. 19 (2011) American Physical Society: http://dx.doi.org/10.1103/PhysRevLett.107.193901.https://hdl.handle.net/1911/93833Here we demonstrate a novel quantitative procedure to pursue statistical studies on the geometric properties of photonic crystals and photonic quasicrystals (PQCs) which consist of separate dielectric particles. The geometric properties are quantified and correlated to the size of the photonic band gap (PBG) for wide permittivity range using three characteristic parameters: shape anisotropy, size distribution, and feature-feature distribution. Our concept brings statistical analysis to the photonic crystal research and offers the possibility to predict the PBG from a morphological analysis.engArticle is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.Journal articlehttp://dx.doi.org/10.1103/PhysRevLett.107.193901