{"paper":{"title":"Gap Sensitivity Reveals Universal Behaviors in Optimized Photonic Crystal and Disordered Networks","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":["physics.comp-ph"],"primary_cat":"physics.optics","authors_text":"Michael A. Klatt, Paul J. Steinhardt, Salvatore Torquato","submitted_at":"2021-07-15T09:43:44Z","abstract_excerpt":"Through an extensive series of high-precision numerical computations of the optimal complete photonic band gap (PBG) as a function of dielectric contrast $\\alpha$ for a variety of crystal and disordered heterostructures, we reveal striking universal behaviors of the gap sensitivity $\\mathcal{S}(\\alpha)\\equiv d\\Delta(\\alpha)/d\\alpha$, the first derivative of the optimal gap-to-midgap ratio $\\Delta(\\alpha)$. In particular, for all our crystal networks, $\\mathcal{S}(\\alpha)$ takes a universal form that is well approximated by the analytic formula for a one-dimensional quarter-wave stack, $\\mathca"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2107.07216","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2107.07216/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}