{"paper":{"title":"Longitudinal patterning of twisted light","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.optics","authors_text":"Ahmed H. Dorrah, Michel Zamboni-Rached, Mo Mojahedi","submitted_at":"2016-01-19T23:47:08Z","abstract_excerpt":"Light beams with azimuthal phase dependence [$exp(i \\ell\\phi)$] carry orbital angular momentum (OAM) which differs fundamentally from spin angular momentum (SAM) associated with polarization. Striking difference between the two momenta is manifested in the allowable values: where SAM is limited to $\\hbar k_0$ per photon, the OAM has unbounded value of $\\ell\\hbar$ per photon ($\\ell$ is integer), thus dramatically exceeding the value of SAM \\cite{Ref1,Ref2, Ref3}. OAM has thus been utilized in optical trapping \\cite{Ref4}, imaging\\cite{Ref2}, and material processing \\cite{Ref5}. Furthermore, the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.05135","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"}