Poynting's theorem and energy conservation in the propagation of light in bounded media

dc.creatorRichter, Felix
dc.creatorFlorian, Matthias
dc.creatorHenneberger, Klaus
dc.date2007-10-02
dc.date2007-12-17
dc.date.accessioned2026-07-07T09:25:27Z
dc.date.available2026-07-07T09:25:27Z
dc.descriptionStarting from the Maxwell-Lorentz equations, Poynting's theorem is reconsidered. The energy flux vector is introduced as S_e=(E x B)/mu_0 instead of E x H, because only by this choice the energy dissipation can be related to the balance of the kinetic energy of the matter subsystem. Conservation of the total energy as the sum of kinetic and electromagnetic energy follows. In our discussion, media and their microscopic nature are represented exactly by their susceptibility functions, which do not necessarily have to be known. On this footing, it can be shown that energy conservation in the propagation of light through bounded media is ensured by Maxwell's boundary conditions alone, even for some frequently used approximations. This is demonstrated for approaches using additional boundary conditions and the dielectric approximation in detail, the latter of which suspected to violate energy conservation for decades.
dc.description5 pages, RevTeX4, changes: complete rewrite
dc.identifierhttps://arxiv.org/abs/0710.0515
dc.identifierhttp://arxiv.org/abs/0710.0515
dc.identifierEurophys. Lett. 84, 67005 (2008)
dc.identifierdoi:10.1209/0295-5075/81/67005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156410
dc.subjectStrongly Correlated Electrons
dc.subjectOptics
dc.titlePoynting's theorem and energy conservation in the propagation of light in bounded media
dc.typetext

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