Maxwell's wave equations
On Group Invariant Solutions to the Maxwell Dirac equations
... plane wave solutions for m = ...nonlinear wave equations, and in the case of the M-D equations, published a family of exact light speed plane wave solutions of the M-D equations ...
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The dual continuity equations
... electromagnetic wave arising from varying electric and magnetic fields, is known to propagate in a direction perpendicular to the plane spanned by the electric and magnetic ...continuity equations are ...
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Discontinuous Galerkin Finite Element Methods for the time harmonic Maxwell equations in periodic media
... different wave vectors are similar, although the errors become bigger when k gets larger, since the Gauss-quadrature rules are not very suitable for high-oscillating ...the wave vector that needs to be ...
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Chiral Maxwell’s Equations as Two Spinor System: Dirac and Majorana Neutrino
... The two-component Majorana equation, coming in two related forms (16a) and (16b) that are connected by a spin flip, represents the simplest possible covariant rela- tivistic wave equation for a massive but ...
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Modeling the interaction of light with photonic structures by direct numerical solution of Maxwell's equations
... Maxwell’s equations in the time-domain, for the classical electromagnetic analysis of complex plasmonic and photonic struc- tures interacting with ...“plane wave injector” with arbitrary propagation ...
180
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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A study in biomimetics: nanometer scale, high efficiency, dielectric diffractive structures on the wings of butterflies and in the silicon chip factory
... each wave vector. Varying the wave vectors over the whole Brillouin zone, one obtains bands of frequencies, which describe the propagation of waves within the periodic ...scaled wave vector component ...
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On Solution for the Longitudinal Electromagnetic Waves Derived from the Jefimenko Wave Equation and its Application to Wireless Power Transfer
... Abstract—A goal of this work is to find a possible explanation of the experimental results of [1] where the wireless power transfer between two coils is investigated. We show that this wireless power transfer is provided ...
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DG discretization of optimized Schwarz methods for Maxwell's equations
... In order to illustrate numerically the proposed discrete versions of the optimized Schwarz algorithms, we consider the propagation of a plane wave in a homoge- neous conductive medium with Ω = [0,1] 2 and σ = 0.5. ...
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Operator Splitting Method for Coupled Problems:Transport and Maxwell Equations
... In this article a new approach is considered for implementing operator splitting methods for transport prob- lems, influenced by electric fields. Our motivation came to model PE-CVD (plasma-enhanced chemical va- por ...
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Curvelets, wave atoms, and wave equations
... The classical mathematical questions of existence, uniqueness, and Strichartz-type esti- mates were settled long ago for this simple equation [38], yet the basic observation that wave equations model ...
202
Class of Charged Fluid Balls in General Relativity
... The search for the exact solutions is of continuous interest to researcher. Buchdahl [6] proposed a famous bound on the mass radius ratio of relativistic fluid spheres which is an important contribution in order to study ...
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The Optical Low-Pass Filter Gain of a Ring Cavity
... Study of optical bistability was begun from theoretical prediction by Szöke, Daneu, Goldhar, and Kurnit [3]. They stated that absorptive bistability could occur on nonlinear medium exposed by laser light. The same ...
6
Nonstationary Inverse Source Problem of Active Shielding
... Abstract —The problem of active shielding of some domains from the effect of the sources distributed in other domains is considered. The problem can be formulated either in a bounded domain or in an un- bounded domain. ...
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Forward Modeling and validation of a new formulation to compute self potential signals associated with ground water flow
... Abstract. The classical formulation of the coupled hydro- electrical flow in porous media is based on a linear formula- tion of two coupled constitutive equations for the electrical current density and the seepage ...
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Optimized schwarz methods for Maxwell equations with discontinuous coefficients
... Maxwell’s equations were developed: for curl-curl formulations, see ...Maxwell’s equations, optimized Schwarz methods can be found in [6, 8, 9], and for scattering problems with applications, see [15, ...
8
The Application of Generalised Maxwell Stefan Equations to Protein Gels
... The dynamic model of Sephadex G-25 (Bisschop et al., 1988) has been introduced in Section 2.2.2. Since it is an example of using GMS approach in dynamic diffusion modelling, it is useful to reproduce the simulation as a ...
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The relation between Maxwell, Dirac, and the Seiberg Witten equations
... generalized Maxwell-like equation (see ...monopole equations arises naturally from the MDE of the first kind once a reasonable hypothesis is ...Seiberg-Witten equations is an eigenvector of the parity ...
28
Transformation optics, isotropic chiral media and non Riemannian geometry
... the Maxwell equations as a material medium: (i) the definition of the field tensor in terms of the vector potential is unchanged by the co-ordinate system, so that the co-ordinates may be re-interpreted as ...
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Fermions Confinement to a 4-Dimensional Universe is the Source for Dark Matter
... Maxwell's equations with the quantum theory (Pauli, Heisenberg, Dirac) have not ...field equations, which do not account for the existence of a radius of the electron (or its finite energy=mass) ...
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