Blog
About

46
views
0
recommends
+1 Recommend
0 collections
    0
    shares
      • Record: found
      • Abstract: found
      • Article: found
      Is Open Access

      Vector Potential Electromagnetic Theory with Generalized Gauge for Inhomogeneous Anisotropic Media

      Preprint

      Read this article at

      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

          Vector and scalar potential formulation is valid from quantum theory to classical electromagnetics. The rapid development in quantum optics calls for electromagnetic solutions that straddle quantum physics as well as classical physics. The vector potential formulation is a good candidate to bridge these two regimes. Hence, there is a need to generalize this formulation to inhomogeneous media. A generalized gauge is suggested for solving electromagnetic problems in inhomogenous media which can be extended to the anistropic case. The advantages of the resulting equations are their absence of low-frequency catastrophe. Hence, usual differential equation solvers can be used to solve them over multi-scale and broad bandwidth. It is shown that the interface boundary conditions from the resulting equations reduce to those of classical Maxwell's equations. Also, classical Green's theorem can be extended to such a formulation, resulting in similar extinction theorem, and surface integral equation formulation for surface scatterers. The integral equations also do not exhibit low-frequency catastrophe as well as frequency imbalance as observed in the classical formulation using E-H fields. The matrix representation of the integral equation for a PEC scatterer is given.

          Related collections

          Most cited references 10

          • Record: found
          • Abstract: not found
          • Article: not found

          A fast algorithm for particle simulations

            Bookmark
            • Record: found
            • Abstract: not found
            • Article: not found

            On the use of the magnetic vector potential in the finite-element analysis of three-dimensional eddy currents

             K. Preis,  Oszkar Biro (1989)
              Bookmark
              • Record: found
              • Abstract: not found
              • Article: not found

              On the magnetic field generated outside an inhomogeneous volume conductor by internal current sources

               D. Geselowitz (1970)
                Bookmark

                Author and article information

                Journal
                2014-06-09
                1406.4780

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

                Custom metadata
                16 pages, 2 figure
                physics.class-ph

                Classical mechanics

                Comments

                Comment on this article