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Solution of Maxwell's equations [PDF]
Computer Physics Communications, 1992 Abstract A numerical approach for the solution of Maxwell's equations is presented. Based on a finite difference Yee lattice the method transforms each of the four Maxwell equations into an equivalent matrix expression that can be subsequently treated by matrix mathematics and suitable numerical methods for solving matrix problems.
Wolter, H. +16 more
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An Entropy Dynamics Approach to Inferring Fractal-Order Complexity in the Electromagnetics of Solids [PDF]
EntropyA fractal-order entropy dynamics model is developed to create a modified form of Maxwell’s time-dependent electromagnetic equations. The approach uses an information-theoretic method by combining Shannon’s entropy with fractional moment constraints in ...
Basanta R. Pahari, William Oates
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Constitutive tensor in the geometrized Maxwell theory
Discrete and Continuous Models and Applied Computational Science, 2022 It is generally accepted that the main obstacle to the application of Riemannian geometrization of Maxwell’s equations is an insufficient number of parameters defining a geometrized medium. In the classical description of the equations of electrodynamics
Anna V. Korolkova
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Review of rationales for the introduction of the “Geophysical electrodynamics” term
Известия высших учебных заведений: Геология и разведка, 2022 Background. The article provides arguments for the introduction of the “geophysical electrodynamics” term.Aim. To justify the introduction of a new term “geophysical electrodynamics”.Methods of substantiation. The limits of the applicability of Maxwell’s
V. V. Aksenov
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Maxwell’s equations in Fourier space and coupling between elementary excitations in solids
Revista Brasileira de Ensino de Física, 2023 Maxwell’s equations are fundamental to the understanding of electromagnetic events, as they describe the totality of experimentally verified electromagnetic phenomena from its boundary conditions and constitutive relations.
A.V. Andrade-Neto, M.S. Brandão
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Comment on ‘Electronic Maxwell’s equations’
New Journal of Physics, 2021 It is pointed out that the authors of the paper Li et al (2020 New J. Phys. 22 113019) have misinterpreted the Dirac equation by not taking into account that it describes not only electrons but also positrons.
Iwo Bialynicki-Birula
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Maxwell’s Equations in Homogeneous Spaces for Admissible Electromagnetic Fields
Universe, 2022 Maxwell’s vacuum equations are integrated for admissible electromagnetic fields in homogeneous spaces. Admissible electromagnetic fields are those for which the space group generates an algebra of symmetry operators (integrals of motion) that is ...
Valery V. Obukhov
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A Controllability Method for Maxwell's Equations
SIAM Journal on Scientific Computing, 2022 We propose a controllability method for the numerical solution of time-harmonic Maxwell's equations in their first-order formulation. By minimizing a quadratic cost functional, which measures the deviation from periodicity, the controllability method determines iteratively a periodic solution in the time domain.
Théophile Chaumont-Frelet +3 more
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MaxwellNet: Physics-driven deep neural network training based on Maxwell’s equations
APL Photonics, 2022 Maxwell’s equations govern light propagation and its interaction with matter. Therefore, the solution of Maxwell’s equations using computational electromagnetic simulations plays a critical role in understanding light–matter interaction and designing ...
Joowon Lim, Demetri Psaltis
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Maxwell's equations and their significance
Bibechana, 2018 No abstract available.
Ram Prasad Koirala
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