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Isotropic Band Gaps and Freeform Waveguides Observed in Hyperuniform Disordered Photonic Solids
Weining Man, Marian Florescu, Eric Paul Williamson +7
Recently, disordered photonic media and random textured surfaces have attracted increasing attention as strong light diffusers with broadband and wide-angle properties. We report t…
Optical cavities and waveguides in hyperuniform disordered photonic solids
Marian Florescu, Salvatore Torquato, Paul Steinhardt
Using finite difference time domain and band structure computer simulations, we show that it is possible to construct optical cavities and waveguide architectures in hyperuniform d…
Jammed lattice sphere packings
Yoav Kallus, Étienne Marcotte, Salvatore Torquato
We generate and study an ensemble of isostatic jammed hard-sphere lattices. These lattices are obtained by compression of a periodic system with an adaptive unit cell containing a…
An Efficient Linear Programming Algorithm to Generate the Densest Lattice Sphere Packings
Étienne Marcotte, Salvatore Torquato
Finding the densest sphere packing in -dimensional Euclidean space is an outstanding fundamental problem with relevance in many fields, including the ground state…
Effect of Dimensionality on the Percolation Thresholds of Various -Dimensional Lattices
Salvatore Torquato, Yang Jiao
We show analytically that the , and Pad{é} approximants of the mean cluster number for site and bond percolation on general -dimensional lattices a…