For Publishers
DiscoveryMetadataPeer reviewHostingPublishing
For Researchers
JoinPublishReviewCollect
Register
Blog
About
Search
Advanced search
My ScienceOpen
Search
For Publishers
For Researchers
Blog
About
82
views
3
references
 Top references
cited by
0
    
0 reviews
 Review
0
comments
 Comment
0
recommends
+1 Recommend
0 collections
    0
    shares
      27
      similar
       All similar
      • Record: found
      • Abstract: found
      • Article: found
      Is Open Access

      Electromagnetic Media with no Dispersion Equation

      Preprint
      Author(s): ,
      Publication date Created:

      Read this article at

      ScienceOpenArXiv
      Bookmark
          There is no author summary for this article yet. Authors can add summaries to their articles on ScienceOpen to make them more accessible to a non-specialist audience.

          Abstract

          It has been known through some examples that parameters of an electromagnetic medium can be so defined that there is no dispersion equation (Fresnel equation) to restrict the choice of the wave vector of a plane wave in such a medium, i.e., that the dispersion equation is satisfied identically for any wave vector. In the present paper, a more systematic study to define classes of media with no dispersion equation is attempted. The analysis makes use of coordinate-free four-dimensional formalism in terms of multivectors, multiforms and dyadics.

          Related collections

          Most cited references3

          • Record: found
          • Abstract: found
          • Article: found
          Is Open Access

          Causal structure and algebraic classification of area metric spacetimes in four dimensions

          Mattias Wohlfarth, Christof Witte, Frederic Schuller (2009)
          Area metric manifolds emerge as a refinement of symplectic and metric geometry in four dimensions, where in numerous situations of physical interest they feature as effective matter backgrounds. In this article, this prompts us to identify those area metric manifolds that qualify as viable spacetime backgrounds in the first place, in so far as they support causally propagating matter. This includes an identification of the timelike future cones and their duals associated to an area metric geometry, and thus paves the ground for a discussion of the related local and global causal structure in standard fashion. In order to provide simple algebraic criteria for an area metric manifold to present a consistent spacetime structure, we develop a complete algebraic classification of area metric tensors up to general transformations of frame. Remarkably, a suitable coarsening of this classification allows to prove a theorem excluding the majority of algebraic classes of area metrics as viable spacetimes.
          Article 0 comments Cited 10 times – based on 0 reviews
          Preprint
               Review now
            Bookmark
            • Record: found
            • Abstract: found
            • Article: found
            Is Open Access

            Decomposable medium conditions in four-dimensional representation

            Ismo Lindell, Alberto Favaro, Luzi Bergamin (2011)
            The well-known TE/TM decomposition of time-harmonic electromagnetic fields in uniaxial anisotropic media is generalized in terms of four-dimensional differential-form formalism by requiring that the field two-form satisfies an orthogonality condition with respect to two given bivectors. Conditions for the electromagnetic medium in which such a decomposition is possible are derived and found to define three subclasses of media. It is shown that the previously known classes of generalized Q-media and generalized P-media are particular cases of the proposed decomposable media (DCM) associated to a quadratic equation for the medium dyadic. As a novel solution, another class of special decomposable media (SDCM) is defined by a linear dyadic equation. The paper further discusses the properties of medium dyadics and plane-wave propagation in all the identified cases of DCM and SDCM.
            Article 0 comments Cited 1 times – based on 0 reviews
            Preprint
                 Review now
              Bookmark
              • Record: found
              • Abstract: found
              • Article: found
              Is Open Access

              A restatement of the normal form theorem for area metrics

              Matias F. Dahl (2011)
              An area metric is a (0,4)-tensor with certain symmetries on a 4-manifold that represent a non-dissipative linear electromagnetic medium. A recent result by Schuller, Witte and Wohlfarth provides a pointwise normal form theorem for such area metrics. This result is similar to the Jordan normal form theorem for (1,1)-tensors, and the result shows that any area metric belongs to one of 23 metaclasses with explicit coordinate expressions for each metaclass. In this paper we restate and prove this result for skewon-free (2,2)-tensors and show that in general, each metaclasses has three different coordinate representations, and each of metaclasses I, II, ..., VI, VII need only one coordinate representation.
              Article 0 comments Cited 1 times – based on 0 reviews
              Preprint
                   Review now
                Bookmark
                All references

                Author and article information

                Journal
                Publication date Created: 2013-03-22
                Publication date Updated: 2013-03-25
                Article
                ArXiV ID: 1303.5535
                SO-VID: 6aca375b-51fc-4e92-b101-68ccd212931f
                License:

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

                History
                Custom metadata
                Journal reference Progress in Electromagnetics Research PIER B, vol. 51, pp. 269 - 289, 2013
                Categories math-ph math.MP

                ScienceOpen disciplines: Mathematical physics,Mathematical & Computational physics
                Data availability:
                ScienceOpen disciplines: Mathematical physics, Mathematical & Computational physics

                Comments

                Comment on this article