@article{5f88309fe3cb4fc881c5ecbec2575e76,
title = "Phoamtonic designs yield sizeable 3D photonic band gaps",
abstract = "We show that it is possible to construct foam-based heterostructures with complete photonic band gaps. Three-dimensional foams are promising candidates for the self-organization of large photonic networks with combinations of physical characteristics that may be useful for applications. The largest band gap found is based on 3D Weaire–Phelan foam, a structure that was originally introduced as a solution to the Kelvin problem of finding the 3D tessellation composed of equal-volume cells that has the least surface area. The photonic band gap has a maximal size of 16.9% (at a volume fraction of 21.6% for a dielectric contrast ε = 13) and a high degree of isotropy, properties that are advantageous in designing photonic waveguides and circuits. We also present results for 2 other foam-based heterostructures based on Kelvin and C15 foams that have somewhat smaller but still significant band gaps.",
keywords = "Complete photonic band gap, Frank–Kasper phases, Plateau{\textquoteright}s laws for dry foam, Self-organization, TCP structures, Weaire–Phelan foam",
author = "Klatt, {Michael A.} and Steinhardt, {Paul J.} and Salvatore Torquato",
note = "Funding Information: ACKNOWLEDGMENTS. We thank Andy Kraynik for helpful discussions on foams. In particular, we gratefully acknowledge his useful scripts for the Surface Evolver and foam samples. We thank Marian Florescu for insightful discussions on photonics and the MPB software. The simulations presented in this article were substantially performed on computational resources managed and supported by the Princeton Institute for Computational Science and Engineering. This work was supported by the Princeton University Innovation Fund for New Ideas in the Natural Sciences. Funding Information: We thank Andy Kraynik for helpful discussions on foams. In particular, we gratefully acknowledge his useful scripts for the Surface Evolver and foam samples. We thank Marian Florescu for insightful discussions on photonics and the MPB software. The simulations presented in this article were substantially performed on computational resources managed and supported by the Princeton Institute for Computational Science and Engineering. This work was supported by the Princeton University Innovation Fund for New Ideas in the Natural Sciences. Publisher Copyright: {\textcopyright} 2019 National Academy of Sciences. All rights reserved.",
year = "2019",
doi = "10.1073/pnas.1912730116",
language = "English (US)",
volume = "116",
pages = "23480--23486",
journal = "Proceedings of the National Academy of Sciences of the United States of America",
issn = "0027-8424",
publisher = "National Academy of Sciences",
number = "47",
}