Results 11 to 20 of about 4,895 (306)

Nonlinear Maxwell Equations [PDF]

open access: yesJournal of Nonlinear Mathematical Physics, 1996
6 pages ...
openaire   +3 more sources

Methodological derivation of the eikonal equation

open access: yesDiscrete 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
doaj   +1 more source

Maxwell’s Equations on Cantor Sets: A Local Fractional Approach

open access: yesAdvances 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
doaj   +1 more source

Physics-constrained 3D convolutional neural networks for electrodynamics

open access: yesAPL 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
doaj   +1 more source

The second Maxwell’s relativistic equations of a rapidaly rotating neutron star, based on ZAMO framework (zero angular momentum observers)

open access: yesJournal of Physics: Theories and Applications, 2017
The second Maxwell’s relativistic equations of a rapidaly rotating neutron star, based on ZAMO framework (Zero Angular Momentum Observers) has been formulated.
Atsnaita Yasrina   +3 more
doaj   +1 more source

Reply to “Comment on ‘Electronic Maxwell’s equations’”

open access: yesNew Journal of Physics, 2021
The main purpose of the paper Li et al (2020 New J. Phys. 22 113019) is to determine the common properties of electronic waves and electromagnetic waves.
Mingjie Li   +3 more
doaj   +1 more source

Simulating backward wave propagation in metamaterial with radial basis functions

open access: yesResults 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
doaj   +1 more source

Aplikasi Aljabar Geometris Pada Teori Elektrodinamika Klasik

open access: yesJurnal 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
doaj   +1 more source

Photonic crystal fibres: mapping Maxwell’s equations onto a Schrödinger equation eigenvalue problem [PDF]

open access: yesJournal 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
doaj   +1 more source

W1,p Regularity of Weak Solutions to Maxwell’s Equations

open access: yesJournal 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
doaj   +1 more source

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