From the 1 of 9 linked papers with an AI index.
9 papers
Towards stealthy hyperuniform networks with optimal isotropic complete photonic band gaps using a novel inverse design procedure
Joel Steinegger, Paul J. Steinhardt, Christoph Räth +2
The paper introduces a two‑stage inverse design method to create two‑dimensional disordered stealthy hyperuniform photonic networks that exhibit large, isotropic complete photonic…
Persistence of asymptotic variance under transport: from hyperfluctuation to stealthy hyperuniformity
Luca Lotz, Michael A. Klatt
We introduce -uniformity to characterize the scaling of density fluctuations in spatial random systems in , ranging from hyperfluctuation to stealthy hyperuniformit…
Minkowski tensors for point clouds and voxelized data: robust, asymptotically unbiased estimators
Daniel Hug, Michael A. Klatt, Dominik Pabst
Minkowski tensors, also known as tensor valuations, provide robust -point information for a wide range of random spatial structures. Local estimators for point clouds, e.g., rep…
A genuine test for hyperuniformity
Michael A. Klatt, Günter Last, Norbert Henze
We introduce a rigorous and sensitive significance test for hyperuniformity that yields reliable results even from a single sample. Our approach is based on a detailed analysis of…
Hyperuniformity of Weighted Particle Systems
Salvatore Torquato, Jaeuk Kim, Michael A. Klatt +2
Hyperuniform particle arrangements are characterized by a local number variance that grows more slowly than the volume of the observation window. We generalize this concept to desc…
Transparency versus Anderson localization in one-dimensional disordered stealthy hyperuniform layered media
Michael A. Klatt, Paul J. Steinhardt, Salvatore Torquato
We present numerical simulations of disordered stealthy hyperuniform layered media ranging up to 10,000 thin slabs of high-dielectric constant separated by intervals of low dielect…