{"id":"W4407909435","doi":"10.1364/josaa.547816","title":"Laguerre–Gaussian-to-Hermite–Gaussian mode conversion revisited","year":2025,"lang":"en","type":"article","venue":"Journal of the Optical Society of America A","topic":"Orbital Angular Momentum in Optics","field":"Physics and Astronomy","cited_by":5,"is_retracted":false,"has_abstract":true,"ca_institutions":"Dalhousie University","funders":"Natural Sciences and Engineering Research Council of Canada; Institute for Advanced Studies in Basic Sciences","keywords":"Hermite polynomials; Laguerre polynomials; Gaussian; Mode (computer interface); Statistical physics; Mathematics; Physics; Computer science; Mathematical analysis; Quantum mechanics; Human–computer interaction","routes":{"ca_aff":true,"ca_fund":true,"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":[0.0001680069,0.0001491777,0.0003846185,0.00003685719,0.0001084949,0.00003451333,0.000467688,0.00005181393,0.0001627877],"category_scores_gemma":[0.00002790622,0.00009853487,0.0007416276,0.0004989855,0.0002190807,0.00009321526,0.0002283097,0.0003746736,0.00001528822],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007254024,"about_ca_system_score_gemma":0.0001034148,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002919261,"about_ca_topic_score_gemma":4.483914e-8,"domain_scores_codex":[0.9987604,0.00004934197,0.0004762851,0.0001293744,0.0003532715,0.0002313374],"domain_scores_gemma":[0.9989685,0.0001002615,0.0003623011,0.0002755656,0.0001562235,0.0001370837],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","study_design_scores_codex":[0.0007893434,0.00437453,0.06309374,0.0008171592,0.005671588,0.0000173331,0.007668824,0.007014881,0.1551782,0.07041388,0.5792528,0.1057078],"study_design_scores_gemma":[0.01328744,0.003796125,0.07413573,0.006288906,0.004101443,0.00006622462,0.03190808,0.06732894,0.2058325,0.06244191,0.5276015,0.003211225],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6533128,0.0005754894,0.1743059,0.07943068,0.001928374,0.001014121,0.00009506333,0.00004575145,0.08929174],"genre_scores_gemma":[0.9682441,0.00001807224,0.02844656,0.001286699,0.0002033289,0.000001596781,0.000001622173,0.00001393332,0.001784094],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3149313,"threshold_uncertainty_score":0.4018135,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.005503785042652803,"score_gpt":0.2551959377760646,"score_spread":0.2496921527334118,"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."}}