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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Motion-induced radiation from electrons moving in Maxwell's fish-eye [PDF]
, 2013 In \u{C}erenkov radiation and transition radiation, evanescent wave from motion of charged particles transfers into radiation coherently. However, such dissipative motion-induced radiations require particles to move faster than light in medium or to ...
Ang, L. K., Liu, Yangjie
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Simulating backward wave propagation in metamaterial with radial basis functions
Results in Applied Mathematics, 2019 In this paper we revisit the radial basis function (RBF) meshless method and implement it to solve the time-dependent Maxwell's equations in metamaterials.
Jichun Li, Bing Nan
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Perfect imaging: they don't do it with mirrors [PDF]
, 2010 Imaging with a spherical mirror in empty space is compared with the case when the mirror is filled with the medium of Maxwell's fish eye. Exact time-dependent solutions of Maxwell's equations show that perfect imaging is not achievable with an electrical
Blaikie R J +12 more
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Aplikasi Aljabar Geometris Pada Teori Elektrodinamika Klasik
Jurnal Fourier, 2012 In this paper geometric algebra and its aplication in the theory of classical electrodynamic will be studied. Geometric algebra provide many simplification and new insight in the theoretical formulation and physical aplication of theory.
Joko Purwanto
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Convection displacement current and alternative form of Maxwell-Lorentz equations [PDF]
, 1996 Some mathematical inconsistencies in the conventional form of Maxwell's equations extended by Lorentz for a single charge system are discussed. To surmount these in framework of Maxwellian theory, a novel convection displacement current is considered as ...
Chubykalo, Andrew E. +1 more
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Maxwell’s equations in the Myers-Perry geometry
Journal of High Energy Physics, 2017 We demonstrate separability of the Maxwell’s equations in the Myers-Perry-(A)dS geometry and derive explicit solutions for various polarizations. Application of our construction to the four-dimensional Kerr black hole leads to a new ansatz for the ...
Oleg Lunin
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Elliptic regularity theory applied to time harmonic anisotropic Maxwell's equations with less than Lipschitz complex coefficients [PDF]
, 2014 The focus of this paper is the study of the regularity properties of the time harmonic Maxwell's equations with anisotropic complex coefficients, in a bounded domain with $C^{1,1}$ boundary. We assume that at least one of the material parameters is $W^{1,
Alberti, Giovanni S., Capdeboscq, Yves
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W1,p Regularity of Weak Solutions to Maxwell’s Equations
Journal of Mathematics, 2020 In this paper, we study the steady-state Maxwell’s equations. The weak solution defined in weak formulation is considered, and the global existence is obtained in general bounded open domain.
Zhihong Chen
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Photonic crystal fibres: mapping Maxwell’s equations onto a Schrödinger equation eigenvalue problem [PDF]
Journal of the European Optical Society-Rapid Publications, 2006 We consider photonic crystal fibres (PCFs) made from arbitrary base materials and introduce a short-wavelength approximation which allows for a mapping of the Maxwell’s equations onto a dimensionless eigenvalue equations which has the form of the ...
Mortensen Niels Asger
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