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Vector Potential Electromagnetic Theory with Generalized Gauge for Inhomogeneous Anisotropic Media

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      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 di?erential 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 ?elds. The matrix representation of the integral equation for a PEC scatterer is given.

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      Most cited references 10

      • Record: found
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      A fast algorithm for particle simulations

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        • 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
            1406.4780

            Classical mechanics

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