{"id":"W2076306977","doi":"10.1103/physreve.70.066621","title":"Nonlinear optical interactions of wave packets in photonic crystals: Hamiltonian dynamics of effective fields","year":2004,"lang":"en","type":"article","venue":"Physical Review E","topic":"Photonic Crystals and Applications","field":"Physics and Astronomy","cited_by":8,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Hamiltonian (control theory); Poynting vector; Physics; Nonlinear system; Curse of dimensionality; Degenerate energy levels; Nonlinear optics; Wave packet; Photonic crystal; Statistical physics; Quantum mechanics; Mathematics; Mathematical optimization","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":[0.00009529131,0.0001338912,0.0004713832,0.00003140488,0.000023337,0.000005099532,0.0001200696,0.00001833177,0.0000806642],"category_scores_gemma":[0.00002289645,0.0001169044,0.0002387454,0.000282181,0.00008483435,0.00006928719,0.00005866256,0.0002279912,0.00001007159],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005907439,"about_ca_system_score_gemma":0.00007084374,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001635143,"about_ca_topic_score_gemma":0.00007589419,"domain_scores_codex":[0.9991321,0.00002938341,0.0003518767,0.0001976508,0.000121562,0.0001674093],"domain_scores_gemma":[0.9992576,0.0001650978,0.0001546831,0.0002932551,0.00006730077,0.00006202771],"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":[0.00005553802,0.008903006,0.0008279582,0.002633904,0.0003294698,0.000005709554,0.0010145,0.0007123515,0.07538579,0.7447499,0.0001045951,0.1652773],"study_design_scores_gemma":[0.005742472,0.001251499,0.01194244,0.01933149,0.0007908331,0.00001376264,0.0008323239,0.06294983,0.3601583,0.524403,0.01069389,0.001890169],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9861872,0.0005146038,0.003671807,0.000518957,0.00003016136,0.0007941804,0.0001450955,0.00001005855,0.008127897],"genre_scores_gemma":[0.9989468,0.0002341731,0.0005083316,0.00003953224,0.00004863031,0.0001512479,0.00004950236,0.00001146763,0.00001031757],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2847725,"threshold_uncertainty_score":0.4767224,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01172048834399473,"score_gpt":0.3130778298843916,"score_spread":0.3013573415403968,"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."}}