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Solving Maxwell's Equations Using Polarimetry Alone. [PDF]
Nano LettMaxwell's equations are solved when the amplitude and phase of the electromagnetic field are determined at all points in space. Generally, the Stokes parameters can only capture the amplitude and polarization state of the electromagnetic field in the ...
Olmos-Trigo J.
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Electronic Maxwell’s equations
New Journal of Physics, 2020 To date, the wave nature of electron has been widely researched, together with its similarity to optics. To unify electronic waves and electromagnetic waves, we establish four equations analogous to Maxwell’s equations by expressing the Dirac equation in
Mingjie Li +3 more
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A nonlinear equivalent circuit model for flux density calculation of a permanent magnet linear synchronous motor [PDF]
Serbian Journal of Electrical Engineering, 2015 In this paper, a nonlinear magnetic equivalent circuit is presented as an analytical solution method for modeling of a permanent magnet linear synchronous motor (PMLSM). The accuracy of the proposed model is verified via comparing its simulation
Ghanaee Reza +4 more
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Spinor representation of Maxwell's equations
, 2020 Spinors are more special objects than tensor. Therefore possess more properties than the more generic objects such as tensors. Thus, the group of Lorentz two-spinors is the covering group of the Lorentz group.
Korolkova A.V. +2 more
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Interior penalty discontinuous galerkin methods for electromagnetic and acoustic wave equations [PDF]
, 2006 Introduction: In this thesis we present and analyze the numerical approximation of the second order electromagnetic and acoustic wave equation by the interior penalty (IP) discontinuous Galerkin (DG) finite element method (FEM).
Schneebeli, Anna
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Journal of Mathematical Analysis and Applications, 2011 For an elliptic complex of first order differential operators on a smooth manifold, we define a system of two equations which can be thought of as abstract Maxwell equations. The formal theory of this system proves to be very similar to that of classical Maxwell's equations.
Makhmudo, K. O. +2 more
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Symmetries of Maxwell-Bloch Equations [PDF]
Journal of Nonlinear Mathematical Physics, 1995 The paper addresses the symmetries of the real Maxwell-Bloch equations. The authors present the Lax pair, bi-Hamiltonian formulations and find a symplectic realization of the system. Also a hierarchy of master symmetries is constructed which is used to generate nonlinear Poisson brackets.
Damianou, Pantelis A. +3 more
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Methodological derivation of the eikonal equation
Discrete and Continuous Models and Applied Computational Science, 2023 Usually, when working with the eikonal equation, reference is made to its derivation in the monograph by Born and Wolf. The derivation of this equation was done rather carelessly.
Arseny V. Fedorov +4 more
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Maxwell’s Equations on Cantor Sets: A Local Fractional Approach
Advances in High Energy Physics, 2013 Maxwell’s equations on Cantor sets are derived from the local fractional vector calculus. It is shown that Maxwell’s equations on Cantor sets in a fractal bounded domain give efficiency and accuracy for describing the fractal electric and magnetic fields.
Yang Zhao +4 more
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Physics-constrained 3D convolutional neural networks for electrodynamics
APL Machine Learning, 2023 We present a physics-constrained neural network (PCNN) approach to solving Maxwell’s equations for the electromagnetic fields of intense relativistic charged particle beams.
Alexander Scheinker, Reeju Pokharel
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