{"paper":{"title":"Two theorems on the outer product of input and output Stokes vectors for deterministic optical systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.optics","authors_text":"E. Kuntman, M.A. Kuntman","submitted_at":"2019-07-01T07:31:36Z","abstract_excerpt":"$2\\times2$ complex Jones matrix transforms two dimensional complex Jones vectors into complex Jones vectors and accounts for phase introduced by deterministic optical systems. On the other hand, Mueller-Jones matrix transforms four parameter real Stokes vectors into four parameter real Stokes vectors that contain no information about phase. Previously, a $4\\times4$ complex matrix ($\\mathbf{Z}$ matrix) was introduced. $\\mathbf{Z}$ matrix is analogous to the Jones matrix and it is also akin to the Mueller-Jones matrix by the relation $\\mathbf{M}=\\mathbf{Z}\\mathbf{Z^*}$. It was shown that $\\mathb"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.00580","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"}