{"paper":{"title":"On limitations of the Bruggeman formalism for inverse homogenization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.optics","authors_text":"Siti S. Jamaian (University of Edinburgh), Tom G. Mackay (University of Edinburgh)","submitted_at":"2010-04-29T16:28:43Z","abstract_excerpt":"The Bruggeman formalism provides an estimate $\\eps^{Br}_{hcm}$ of the relative permittivity of a homogenized composite material (HCM), arising from two component materials with relative permittivities $\\eps_a$ and $\\eps_b$. It can be inverted to provide an estimate of $\\eps_a$, from a knowledge of $\\eps^{Br}_{hcm}$ and $\\eps_b$. Numerical studies show that the inverse Bruggeman estimate $\\eps_a$ can be physically implausible when (i) $Re\\{\\eps^{Br}_{hcm}\\}/Re\\{\\eps_b\\} > 0 $ and the degree of HCM dissipation is moderate or greater; or (ii) $Re\\{\\eps^{Br}_{hcm}\\}/Re\\{\\eps_b\\} < 0 $ regardless o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.5331","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":""},"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"}