Maxwell's equations for the anisotropic waveguide
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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Steklov eigenvalues for Maxwell s equations
... Properties of modified Steklov eigenvalues I The presence of S results in a discrete set of eigenvalues in C, as in the scalar case. I It can also be shown that the eigenvalues exist in the self-adjoint case, ...
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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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Deriving the Fresnel Equations in the framework of Maxwell equations
... A graph of the reflectivities (Eqs. 16, 17) for the vacuum– glass interface as a function of the angle of incidence is illustrated in Fig. 4. At normal incidence, the S- and P-polarized waves are physically ...
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On Maxwell Equations for Gravitational Field
... of Maxwell-like gravitational field formulation has been shown based on what we already know from Electrodynamics ...body equations of motion the dissipative effect caused by the emission of gravitational ...
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A generalization of the Einstein Maxwell equations
... Maxwell’s equations in flat space in a three-dimensional notation in order to develop a physical understanding of the modifications to the electromagnetic side of the ...Einstein–Maxwell equations ...
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The Time Integrated Far Field for Maxwell s and D Alembert s Equations
... A correct intuitive argument is the following. For wave number equal to zero, propagation is at the speed of light with all directions of propagation equally likely. The spatial Fourier transform evaluated at frequency ...
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Modeling anisotropic Maxwell–Jüttner distributions: derivation and properties
... the anisotropic Maxwell–Jüttner distribution and examine its ...well-defined anisotropic Maxwell–Jüttner distributions needs to ...classical, anisotropic Maxwell dis- ...
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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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A Derivation of Maxwell Equations in Quaternion Space
... of Maxwell Equations in Quaternion Space Vic Chrisitianto ∗ and Florentin Smarandache † ∗ Present address: Institute of Gravitation and Cosmology, PFUR, Moscow, 117198, ...derive Maxwell ...
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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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Calculation of fully anisotropic liquid crystal waveguide modes
... IMENSIONAL S TRUCTURE In order to assess the accuracy of the numerical model, modes of an anisotropic slab waveguide have been calculated both the- oretically and using the finite-element mode ...
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Anisotropic scattering kernel : generalized and modified Maxwell boundary conditions
... an anisotropic ac- commodation ...by Maxwell; then the same result is established from an analytic approach based on the spectral nature of the linear integral oper- ator associated to the scattering kernel ...
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STABILITY OF 2D FDTD ALGORITHMS WITH LOCAL MESH REFINEMENT FOR MAXWELL S EQUATIONS
... e i(−k p,q x x+k y y+ωt) , with the mode amplitude normalization defined as before by equations 4.1 and 4.2. The domain is periodic in the transverse direction, y, and is infinite in the normal direction, x. Both ...
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Anomalous Maxwell equations for inhomogeneous chiral plasma
... given by c 2 τ = 3 , where τ ∼ 1 = ½ e 4 T ln ð1 = j e jÞ is the relax- ation time [45]. In the framework used, we also derived the explicit expressions for the fermion number and chiral densities, as well as the ...
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On Group Invariant Solutions to the Maxwell Dirac equations
... algebraic equations for ...self-…eld equations is invariant under the action of the transitive Poincaré subgroup with Lie generators f P t ; P x ; P z ; P y + K z g ...M-D equations, by employing the ...
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The manifestly gauge invariant Maxwell Dirac equations
... the Maxwell-Dirac equation, with the philosophical aim of describing the self-coupled relativistic quantum electrodynamics entirely in terms of ...tial equations to symmetry restrictions, such that they be ...
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On the Generalized Maxwell Equations and Their Prediction of Electroscalar Wave
... We have seen that recently van Vlaenderen, 2003 [7], showed that there is a scalar wave associated with abandon- ment of Lorentz gauge. He called such a scalar field, S. We have shown that without such abandonment ...
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Homogenization of the system of high-contrast Maxwell equations.
... a number of conclusions of a paper by Zhikov [On gaps in the spectrum of some divergent elliptic operators with periodic coefficients. St. Petersburg Math. J. 16(5) (2004), 719–773] to the case of the full system of ...
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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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