{"id":"W1980276494","doi":"10.1117/12.382230","title":"&lt;title&gt;Generation of Bessel limited-diffraction beams with hexagonal sparse arrays&lt;/title&gt;","year":2000,"lang":"en","type":"article","venue":"Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE","topic":"Semiconductor Lasers and Optical Devices","field":"Engineering","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"","keywords":"Bessel function; Ring (chemistry); Bessel beam; Symmetry (geometry); Diffraction; Beam (structure); Hexagonal crystal system; Field (mathematics); Optics; Mathematics; Square (algebra); Physics; Materials science; Geometry; Pure mathematics; Crystallography; Chemistry","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001310681,0.000189524,0.0002302343,0.00005969812,0.00003157309,0.00004410842,0.0002732499,0.0001362492,0.0002978295],"category_scores_gemma":[0.00005161359,0.0001547993,0.0002061342,0.000181142,0.0000952762,0.0002736613,0.00002007713,0.0001743327,0.00001436301],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007068845,"about_ca_system_score_gemma":0.0000154791,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002192146,"about_ca_topic_score_gemma":1.925957e-7,"domain_scores_codex":[0.9989074,1.114467e-8,0.0003334449,0.0001840546,0.0003726892,0.0002023851],"domain_scores_gemma":[0.9993491,0.00004108982,0.00009452767,0.000043867,0.0004003386,0.00007112113],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"bench_or_experimental","study_design_gemma":"bench_or_experimental","study_design_scores_codex":[0.00004150397,0.0000868923,0.0000639972,0.0003778593,0.0003418609,1.34213e-7,0.00008455701,0.002021143,0.8217999,0.1595791,0.0132897,0.002313305],"study_design_scores_gemma":[0.001586607,0.000493446,0.0009969742,0.0007424777,0.0004277698,0.00003888541,0.000376851,0.4035538,0.4196652,0.001013977,0.1700849,0.001019066],"study_design_candidate":"bench_or_experimental","study_design_consensus":"bench_or_experimental","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9633909,0.0001785823,0.00003911569,0.0001918069,0.0002128309,0.0001427586,0.00002882436,0.00008079958,0.03573439],"genre_scores_gemma":[0.9503882,0.0005363774,0.04639396,0.00006586976,0.0009320849,0.00006115111,0.0000358768,0.0001000498,0.001486458],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4021347,"threshold_uncertainty_score":0.6312531,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01384536590110608,"score_gpt":0.2102356302144436,"score_spread":0.1963902643133376,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}