{"paper":{"title":"Generalized Permeability Function and Field Energy Density in Artificial Magnetics Using the Equivalent Circuit Method","arxiv_id":"physics/0602182","primary_cat":"physics.class-ph","submitted_at":"2006-02-27T14:17:20+00:00","version_compiled":"v2"},"notice":"Every quoted sentence is the authors' text from the arXiv listing abstract. Labels and probabilities are the outputs of classifier-1.13.0 on the question bank abstract-p1-20260923, exactly as returned. 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materials.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.84,"main_claim_p":0.32,"quantitative":false,"quantitative_p":0.04,"role_probabilities":{"gap":0.14,"method":0.0,"result":0.59,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.26,"interpretation":0.01}},{"i":2,"p":0.9,"id":"s2","own":true,"role":"result","text":"Depending on the dominating loss mechanism (conductive losses in metal parts or dielectric losses in the substrate) the permeability function has different forms.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.8,"main_claim_p":0.16,"quantitative":false,"quantitative_p":0.15,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.9,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.06,"interpretation":0.04}},{"i":3,"p":0.43,"id":"s3","own":true,"role":"result","text":"The proposed circuit model and permeability function are experimentally validated.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.94,"main_claim_p":0.16,"quantitative":false,"quantitative_p":0.03,"role_probabilities":{"gap":0.0,"method":0.25,"result":0.43,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.32,"interpretation":0.0}},{"i":4,"p":0.86,"id":"s4","own":true,"role":"contribution","text":"Furthermore, starting from the generalized circuit model we derive an explicit expression for the electromagnetic field energy density in artificial magnetic media.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.96,"main_claim_p":0.22,"quantitative":false,"quantitative_p":0.04,"role_probabilities":{"gap":0.0,"method":0.02,"result":0.12,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.86,"interpretation":0.0}},{"i":5,"p":0.5,"id":"s5","own":true,"role":"result","text":"This expression is valid at low frequencies and in the vicinity of the resonance also when dispersion and losses in the material are 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