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      On linear electromagnetic constitutive laws that define almost-complex structures

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          Abstract

          It is shown that not all linear electromagnetic constitutive laws will define almost-complex structure on the bundle of 2-forms on the spacetime manifold when composed with the Poincare duality isomorphism, but only a restricted class of them that includes linear spatially isotropic and some bi-isotropic laws. Although this does not trivialize the formulation of the basic equations equations of pre-metric electromagnetism, it does affect their reduction to metric electromagnetism by its effect on the types of media that are reducible, and possibly its effect on the way that such media support the propagation of electromagnetic waves.

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          Author and article information

          Journal
          08 October 2006
          Article
          10.1002/andp.200610227
          gr-qc/0610031
          b99566bc-605f-4de7-91c4-86851f47a6eb
          History
          Custom metadata
          Annalen Phys. 16 (2007) 207-217
          14 pages, accepted by Annalen der Physik
          gr-qc physics.optics

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