Maxwell equations and wave equations
On Maxwell Equations for Gravitational Field
... ∇ × = + ∂ ∂ W J x R (13) Thus, one may say in summary that if the Gauss’ theorem is valid for the gravitational field R , and the continuity equation is satisfied for ρ and J , then, there must exist a gravitational ...
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Operator Splitting Method for Coupled Problems:Transport and Maxwell Equations
... Such a field we can model by wave equations. The main contributions are to improve the standard discretiza- tion schemes of each part of the coupling equation. So we discuss an improvement with implicit ...
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Existence and Uniqueness of Global Smooth Solutions for Vlasov Maxwell Equations
... Vlasov Maxwell system and we try to show the solutions of inhomogeneous wave equations with initial conditions in 3 and Gronwall’s lemma is stated and ...
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On the Generalized Maxwell Equations and Their Prediction of Electroscalar Wave
... four Maxwell equations emerge from just one quaternion equa- ...of Maxwell equations under our new transformation shown in ...new wave. This wave is not like the ordinary ...
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Non wave Solutions of the Maxwell Einstein Equations
... ABSTRACT This article is devoted to treating of non-wave, i.e. instanton solution for the Maxwell- Einstein equations. Equations for the field of instanton and metric are derived. Metric of ...
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Deriving the Fresnel Equations in the framework of Maxwell equations
... These equations were derived by Augustin-Jean Fresnel in between 1823-1827 as a part of his comprehensive wave theory of ...Fresnel equations are fully consistent with the rigorous treatment of light ...
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A generalization of the Einstein Maxwell equations
... Einstein–Maxwell equations by adding four types of terms and have derived solutions for static, spherical particles and for localized electromagnetic and gravita- tional cylindrical ...
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Maxwell s Equations and Electromagnetic Waves
... generate a wave on the string. We do work against the tension in the string when we shake it, and that work is carried off as an energy flux in the wave. Electromagnetic waves are much the same proposition. ...
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A Derivation of Maxwell Equations in Quaternion Space
... the Maxwell equations yield wavefunctions which can be used as guideline for interpretation of quantum ...tum wave interpretation asserted here actually can be expect- ed not only in the context of ...
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Tiered Structure of Maxwell s Equations
... The Hertz vectors or polarization potentials are field transformations that are particularly well suited to solve problems involving with known external polarization densities but in the absence of charges and currents ...
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Anomalous Maxwell equations for inhomogeneous chiral plasma
... While a relativistic QED electron-positron plasma pro- vides perhaps one the best examples of a plasma in the drifting state, quark-gluon plasma at sufficiently large temperatures may give an example of plasma where the ...
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On Group Invariant Solutions to the Maxwell Dirac equations
... Chapter 1 Introduction 1.1 Dirac theory The Dirac equation is the relativistically correct wave equation for spin half particles, such as electrons. It gives more accurate predictions of atomic spectra than those ...
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Homogenization of time harmonic Maxwell equations and the frequency dispersion effect
... harmonic Maxwell equations with coefficients depending on ...the wave length, l s is the skin layer length, L is the size of the domain of measurements Ω, with δ = l/L being a small dimensionless ...
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Slow Scale Maxwell-Bloch Equations for Active Photonic Crystals
... framework, Maxwell-Bloch equations for the active PC reduce to the time independent Maxwell equation [also called as master equation in PC literatures [2]) with an active dielectric ...independent ...
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THE REINTERPRETATION OF THE "MAXWELL EQUATIONS"
... these equations are now used as individual components in equations ...of equations has general validity, since it also offers an application possibility under the prerequisites that both the velocity ...
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Derivation of two homogenous Maxwell equations
... Dept. of Physics, Worcester Polytechnic Institute 100 Institute Rd., Worcester, MA 01609, USA We present a theoretical derivation of two homoge- nous Maxwell equations, based on Stokes theorem for Minkowski ...
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- ADI splitting for Maxwell s equations
... error analysis for Namiki; Zheng, Chen, Zhang method for Maxwell’s equations on a cuboid. proved rigorous bounds for abstract problem[r] ...
Steklov eigenvalues for Maxwell s equations
... C., Existence and stability of electromagnetic Stekloff eigenvalues with a trace class modification, to appear in Inverse Probl.. Appl., 2013[r] ...
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INTEGRAL EQUATION METHOD FOR MAXWELL EQUATIONS
... Abstract. The integral equation method is used to the Maxwell equations written in frequency variables in R 3 . The coefficient is assumed to be piecewise constant. We derive the integral equation which is ...
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Curvelets, wave atoms, and wave equations
... of wave-type oscillatory ...of wave packets, or tilings of phase space, which provide a change of basis to make wave propagators asymptotically optimally ...These wave packet families, ...
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