Lagrangian formulation of electromagnetic fields in nondispersive medium by means of the extended Euler-Lagrange differential equation
| dc.contributor.author | Cem Civelek | |
| dc.contributor.author | Thomas Franz Bechteler | |
| dc.contributor.author | Bechteler, Thomas Franz | |
| dc.contributor.author | Civelek, Cem | |
| dc.date.accessioned | 2025-10-06T17:53:15Z | |
| dc.date.issued | 2008 | |
| dc.description.abstract | This work is concerned with the Lagrangian formulation of electromagnetic fields. Here the extended Euler-Lagrange differential equation for continuous nondispersive media is employed. The Lagrangian density for electromagnetic fields is extended to derive all four Maxwell's equations by means of electric and magnetic potentials. For the first time ohmic losses for time and space variant fields are included. Therefore a dissipation density function with time dependent and gradient dependent terms is developed. Both the Lagrangian density and the dissipation density functions obey the extended Euler-Lagrange differential equation. Finally two examples demonstrate the advantage of describing interacting physical systems by a single Lagrangian density. © 2008 Elsevier Ltd. All rights reserved. © 2008 Elsevier B.V. All rights reserved. | |
| dc.identifier.doi | 10.1016/j.ijengsci.2008.06.007 | |
| dc.identifier.isbn | 0080316611 | |
| dc.identifier.issn | 00207225 | |
| dc.identifier.issn | 0020-7225 | |
| dc.identifier.issn | 1879-2197 | |
| dc.identifier.scopus | 2-s2.0-56349083625 | |
| dc.identifier.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-56349083625&doi=10.1016%2Fj.ijengsci.2008.06.007&partnerID=40&md5=08a2f5276c6191a982d4ed5540b24d14 | |
| dc.identifier.uri | https://gcris.yasar.edu.tr/handle/123456789/10350 | |
| dc.identifier.uri | https://doi.org/10.1016/j.ijengsci.2008.06.007 | |
| dc.language.iso | English | |
| dc.publisher | Pergamon-Elsevier Science Ltd | |
| dc.relation.ispartof | International Journal of Engineering Science | |
| dc.rights | info:eu-repo/semantics/closedAccess | |
| dc.source | International Journal of Engineering Science | |
| dc.subject | Electromagnetic Potentials, Euler-lagrange Differential Equation, Lagrangian Density, Maxwell's Equations, Electric Fields, Electromagnetic Field Measurement, Electromagnetic Fields, Electromagnetic Waves, Electromagnetism, Euler Equations, Lagrange Multipliers, Magnetic Materials, Probability Density Function, Density Functions, Electromagnetic Potentials, Euler-lagrange Differential Equation, Lag Ranges, Lagrangian Densities, Lagrangian Density, Lagrangian Formulations, Magnetic Potentials, Maxwell's Equations, Ohmic Losses, Physical Systems, Time Dependents, Maxwell Equations | |
| dc.subject | Electric fields, Electromagnetic field measurement, Electromagnetic fields, Electromagnetic waves, Electromagnetism, Euler equations, Lagrange multipliers, Magnetic materials, Probability density function, Density functions, Electromagnetic potentials, Euler-Lagrange differential equation, Lag ranges, Lagrangian densities, Lagrangian density, Lagrangian formulations, Magnetic potentials, Maxwell's equations, Ohmic losses, Physical systems, Time dependents, Maxwell equations | |
| dc.subject | Electromagnetic Potentials | |
| dc.subject | Euler-Lagrange Differential Equation | |
| dc.subject | Maxwell’s Equations | |
| dc.subject | Lagrangian Density | |
| dc.title | Lagrangian formulation of electromagnetic fields in nondispersive medium by means of the extended Euler-Lagrange differential equation | |
| dc.type | Article | |
| dspace.entity.type | Publication | |
| gdc.author.scopusid | 25821798300 | |
| gdc.author.scopusid | 6507830002 | |
| gdc.author.wosid | Bechteler, Thomas Franz/JQV-2709-2023 | |
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| gdc.description.department | ||
| gdc.description.departmenttemp | [Civelek, Cem] Dokuz Eylul Univ, Inst Marine Sci & Technol, TR-35340 Izmir, Turkey; [Bechteler, Thomas Franz] Yasar Univ, Fac Engn & Architecture, TR-35500 Izmir, Turkey | |
| gdc.description.endpage | 1227 | |
| gdc.description.issue | 12 | |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| gdc.description.startpage | 1218 | |
| gdc.description.volume | 46 | |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
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| gdc.oaire.keywords | Maxwell's equations | |
| gdc.oaire.keywords | Electromagnetic theory (general) | |
| gdc.oaire.keywords | Euler-Lagrange differential equation | |
| gdc.oaire.keywords | Lagrangian density | |
| gdc.oaire.keywords | electromagnetic potentials | |
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| person.identifier.scopus-author-id | Civelek- Cem (25821798300), Bechteler- Thomas Franz (6507830002) | |
| publicationissue.issueNumber | 12 | |
| publicationvolume.volumeNumber | 46 | |
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