{"id":"W4297181204","doi":"10.1016/j.jcp.2022.111585","title":"On the efficient evaluation of the azimuthal Fourier components of the Green's function for Helmholtz's equation in cylindrical coordinates","year":2022,"lang":"en","type":"article","venue":"Journal of Computational Physics","topic":"Electromagnetic Scattering and Analysis","field":"Physics and Astronomy","cited_by":4,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Toronto","funders":"National Institute of General Medical Sciences; National Human Genome Research Institute; Office of Naval Research; Natural Sciences and Engineering Research Council of Canada; Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada; National Institutes of Health; National Science Foundation","keywords":"Helmholtz equation; Azimuth; Cylindrical coordinate system; Mathematical analysis; Fourier transform; Function (biology); Spherical coordinate system; Mathematics; Helmholtz free energy; Fourier analysis; Orthogonal coordinates; Fourier series; Physics; Geometry; Boundary value problem","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001359557,0.001468668,0.001055906,0.0009244402,0.0006658394,0.001509659,0.001486756,0.0007516401,0.008333193],"category_scores_gemma":[0.006190965,0.0004609857,0.0007629269,0.001419788,0.001005142,0.002018622,0.001560122,0.001714163,0.003478405],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005771564,"about_ca_system_score_gemma":0.001256931,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.004136273,"about_ca_topic_score_gemma":0.00690492,"domain_scores_codex":[0.9993134,0.0002322784,0.00003762113,0.00003487731,0.0003248036,0.0000569398],"domain_scores_gemma":[0.9982989,0.001143581,0.00005381367,0.000179027,0.0002799018,0.00004477571],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000324706,0.000146381,0.001002516,0.0005653951,0.00008993204,0.0005120813,0.0005545805,0.1562214,0.0181803,0.4491132,0.02472608,0.3485635],"study_design_scores_gemma":[0.00004427386,0.00003657371,0.0004327823,0.00006288283,0.00002052488,0.000171274,0.00009494508,0.8906644,0.006544563,0.08958358,0.0123056,0.00003846631],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.01111434,0.0004861227,0.9774155,0.0003097062,0.0001417638,0.00005214949,0.00013169,0.0005356624,0.00981311],"genre_scores_gemma":[0.1315988,0.001686473,0.8505952,0.0002715052,0.000181874,0.0002529857,0.0006259707,0.00107317,0.01371417],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.008333193,"threshold_uncertainty_score":0.02787733,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02977645086506136,"score_gpt":0.2624160471467313,"score_spread":0.2326395962816699,"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."}}