Academic literature on the topic 'Maxwell equation'

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Journal articles on the topic "Maxwell equation"

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BARTHELMÉ, RÉGINE, PATRICK CIARLET, and ERIC SONNENDRÜCKER. "GENERALIZED FORMULATIONS OF MAXWELL'S EQUATIONS FOR NUMERICAL VLASOV–MAXWELL SIMULATIONS." Mathematical Models and Methods in Applied Sciences 17, no. 05 (May 2007): 657–80. http://dx.doi.org/10.1142/s0218202507002066.

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When solving numerically approximations of the Vlasov–Maxwell equations, the source terms in Maxwell's equations coming from the numerical solution of the Vlasov equation do not generally satisfy the continuity equation which is required for Maxwell's equations to be well-posed. Hence it is necessary to introduce generalized Maxwell's equations which remain well-posed when there are errors in the sources. Different such formulations have been introduced previously. The aim of this paper is to perform their mathematical analysis and verify the existence and uniqueness of the solution.
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Kalauni, Pushpa, and J. C. A. Barata. "Reconstruction of symmetric Dirac–Maxwell equations using nonassociative algebra." International Journal of Geometric Methods in Modern Physics 12, no. 03 (February 27, 2015): 1550029. http://dx.doi.org/10.1142/s0219887815500292.

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In the presence of sources, the usual Maxwell equations are neither symmetric nor invariant with respect to the duality transformation between electric and magnetic fields. Dirac proposed the existence of magnetic monopoles for symmetrizing the Maxwell equations. In the present work, we obtain the fully symmetric Dirac–Maxwell's equations (i.e. with electric and magnetic charges and currents) as a single equation by using 4 × 4 matrix presentation of fields and derivative operators. This matrix representation has been derived with the help of the algebraic properties of quaternions and octonions. Such description gives a compact representation of electric and magnetic counterparts of the field in a single equation.
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Rodrigues, Waldyr A. "The relation between Maxwell, Dirac, and the Seiberg-Witten equations." International Journal of Mathematics and Mathematical Sciences 2003, no. 43 (2003): 2707–34. http://dx.doi.org/10.1155/s0161171203210218.

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We discuss unsuspected relations between Maxwell, Dirac, and the Seiberg-Witten equations. First, we present the Maxwell-Dirac equivalence (MDE) of the first kind. Crucial to that proposed equivalence is the possibility of solving for ψ (a representative on a given spinorial frame of a Dirac-Hestenes spinor field) the equation F=ψγ21ψ˜, where F is a given electromagnetic field. Such task is presented and it permits to clarify some objections to the MDE which claim that no MDE may exist because F has six (real) degrees of freedom and ψ has eight (real) degrees of freedom. Also, we review the generalized Maxwell equation describing charges and monopoles. The enterprise is worth, even if there is no evidence until now for magnetic monopoles, because there are at least two faithful field equations that have the form of the generalized Maxwell equations. One is the generalized Hertz potential field equation (which we discuss in detail) associated with Maxwell theory and the other is a (nonlinear) equation (of the generalized Maxwell type) satisfied by the 2-form field part of a Dirac-Hestenes spinor field that solves the Dirac-Hestenes equation for a free electron. This is a new result which can also be called MDE of the second kind. Finally, we use the MDE of the first kind together with a reasonable hypothesis to give a derivation of the famous Seiberg-Witten equations on Minkowski spacetime. A physical interpretation for those equations is proposed.
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CIARLET, PATRICK, and SIMON LABRUNIE. "NUMERICAL ANALYSIS OF THE GENERALIZED MAXWELL EQUATIONS (WITH AN ELLIPTIC CORRECTION) FOR CHARGED PARTICLE SIMULATIONS." Mathematical Models and Methods in Applied Sciences 19, no. 11 (November 2009): 1959–94. http://dx.doi.org/10.1142/s0218202509004017.

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When computing numerical solutions to the Vlasov–Maxwell equations, the source terms in Maxwell's equations usually fail to satisfy the continuity equation. Since this condition is required for the well-posedness of Maxwell's equations, it is necessary to introduce generalized Maxwell's equations which remain well-posed when there are errors in the sources. These approaches, which involve a hyperbolic, a parabolic and an elliptic correction, have been recently analyzed mathematically. The goal of this paper is to carry out the numerical analysis for several variants of Maxwell's equations with an elliptic correction.
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Vedenyapin, Victor Valentinovich. "Vlasov-Maxwell-Einstein Equation." Keldysh Institute Preprints, no. 188 (2018): 1–20. http://dx.doi.org/10.20948/prepr-2018-188.

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Dzhunushaliev, Vladimir, and Vladimir Folomeev. "Nonperturbative Quantization Approach for QED on the Hopf Bundle." Universe 7, no. 3 (March 11, 2021): 65. http://dx.doi.org/10.3390/universe7030065.

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We consider the Dirac equation and Maxwell’s electrodynamics in R×S3 spacetime, where a three-dimensional sphere is the Hopf bundle S3→S2. In both cases, discrete spectra of classical solutions are obtained. Based on the solutions obtained, the quantization of free, noninteracting Dirac and Maxwell fields is carried out. The method of nonperturbative quantization of interacting Dirac and Maxwell fields is suggested. The corresponding operator equations and the infinite set of the Schwinger–Dyson equations for Green’s functions is written down. We write a simplified set of equations describing some physical situations to illustrate the suggested scheme of nonperturbative quantization. Additionally, we discuss the properties of quantum states and operators of interacting fields.
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Vedenyapin, Victor, Nikolay Fimin, and Valery Chechetkin. "The system of Vlasov–Maxwell–Einstein-type equations and its nonrelativistic and weak relativistic limits." International Journal of Modern Physics D 29, no. 01 (January 2020): 2050006. http://dx.doi.org/10.1142/s0218271820500066.

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We considered derivation of Vlasov–Einstein–Maxwell system of equations from the first principles, i.e. using classical Maxwell–Einstein–Hilbert action principle. We know many papers in which the theories indicated as Einstein–Vlasov, Vlasov–Maxwell–Einstein, Einstein–Maxwell–Boltzmann are discussed, and we discuss difficulties of usually used equations. We use another way of derivation and obtain an alternative version based on the generalized Fock–Weinberg form of equation of motion.
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Moradzadeh, A., and H. Hassanabadi. "Quasi-Maxwell equation for spin-1 particles." International Journal of Modern Physics E 23, no. 02 (February 2014): 1450007. http://dx.doi.org/10.1142/s0218301314500074.

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In this study, we consider Duffin–Kemmer–Petiau (DKP) equation in three-dimensional, hence we review resemble Maxwell equations where we can derive from DKP equation. An exact solution of the three-dimensional DKP equation is presented in the presence of the pseudo-Coulomb potential-plus-ring-shaped potential. As we derive the energy eigenvalues and corresponding eigenfunctions, we explain about DKP equation under different forms of interactions.
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Candemir, Nuray, Murat Tanışlı, Kudret Özdaş, and Süleyman Demir. "Hyperbolic Octonionic Proca-Maxwell Equations." Zeitschrift für Naturforschung A 63, no. 1-2 (February 1, 2008): 15–18. http://dx.doi.org/10.1515/zna-2008-1-203.

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In this study, after introducing the hyperbolic octonionic (counteroctonion) algebra, which is also expressed in the sub-algebra of sedenions, and differential operator, Proca-Maxwell equations and relevant field equations are derived in compact, simpler and elegant forms using hyperbolic octonions. This formalism demonstrates that Proca-Maxwell equations can be expressed in a single equation.
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SALTI, MUSTAFA, and ALI HAVARE. "ON THE EQUIVALENCE OF THE MASSLESS DKP EQUATION AND THE MAXWELL EQUATIONS IN THE SHUWER." Modern Physics Letters A 20, no. 06 (February 28, 2005): 451–65. http://dx.doi.org/10.1142/s0217732305015768.

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In this paper, a general relativistic wave equation is written to deal with electromagnetic waves in the background of the Shuwer. We obtain the exact form of this equation in a second-order form. On the other hand, by using spinor form of the Maxwell equations the propagation problem is reduced to the solution of the second-order differential equation of complex combination of the electric and magnetic fields. For these two different approaches, we obtain the spinors in terms of field strength tensor. We show that the Maxwell equations are equivalence to the mDKP equation in the Shuwer.
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Dissertations / Theses on the topic "Maxwell equation"

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Eliasson, Bengt. "Numerical Vlasov–Maxwell Modelling of Space Plasma." Doctoral thesis, Uppsala universitet, Avdelningen för teknisk databehandling, 2002. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-2929.

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The Vlasov equation describes the evolution of the distribution function of particles in phase space (x,v), where the particles interact with long-range forces, but where shortrange "collisional" forces are neglected. A space plasma consists of low-mass electrically charged particles, and therefore the most important long-range forces acting in the plasma are the Lorentz forces created by electromagnetic fields. What makes the numerical solution of the Vlasov equation a challenging task is that the fully three-dimensional problem leads to a partial differential equation in the six-dimensional phase space, plus time, making it hard even to store a discretised solution in a computer’s memory. Solutions to the Vlasov equation have also a tendency of becoming oscillatory in velocity space, due to free streaming terms (ballistic particles), in which steep gradients are created and problems of calculating the v (velocity) derivative of the function accurately increase with time. In the present thesis, the numerical treatment is limited to one- and two-dimensional systems, leading to solutions in two- and four-dimensional phase space, respectively, plus time. The numerical method developed is based on the technique of Fourier transforming the Vlasov equation in velocity space and then solving the resulting equation, in which the small-scale information in velocity space is removed through outgoing wave boundary conditions in the Fourier transformed velocity space. The Maxwell equations are rewritten in a form which conserves the divergences of the electric and magnetic fields, by means of the Lorentz potentials. The resulting equations are solved numerically by high order methods, reducing the need for numerical over-sampling of the problem. The algorithm has been implemented in Fortran 90, and the code for solving the one-dimensional Vlasov equation has been parallelised by the method of domain decomposition, and has been implemented using the Message Passing Interface (MPI) method. The code has been used to investigate linear and non-linear interaction between electromagnetic fields, plasma waves, and particles.
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Heintze, Eric. "Résolution des équations de Maxwell tridimensionnelles instationnaires par une méthode d'éléments finis conformes." Paris 6, 1992. http://www.theses.fr/1992PA066698.

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Shi, Qiang. "Sharp estimates of the transmission boundary value problem for dirac operators on non-smooth domains." Diss., Columbia, Mo. : University of Missouri-Columbia, 2006. http://hdl.handle.net/10355/4358.

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Thesis (Ph.D.)--University of Missouri-Columbia, 2006.
The entire dissertation/thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file (which also appears in the research.pdf); a non-technical general description, or public abstract, appears in the public.pdf file. Title from title screen of research.pdf file viewed on (May 1, 2007) Vita. Includes bibliographical references.
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Azam, Md Ali. "Wave reflection from a lossy uniaxial media." Ohio : Ohio University, 1995. http://www.ohiolink.edu/etd/view.cgi?ohiou1179854582.

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Bostan, Mihai. "Etude numérique des solutions périodiques du système de Vlasov-Maxwell." Phd thesis, Ecole des Ponts ParisTech, 1999. http://tel.archives-ouvertes.fr/tel-00005611.

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La modélisation de dispositifs tels que les tubes à décharge ou les diodes à vide soumises à un potentiel harmonique repose sur les équations de Vlasov-Maxwell ou de Vlasov-Poisson en régime périodique. Des résultats dans le cas périodique semblent inexistants. D'autre part, ces régimes sont très difficilement atteints lors de simulations numériques. Le but de ce travail a été d'étudier théoriquement et numériquement les régimes périodiques en transport de particules chargées soumises au champ électro-magnétique. Dans un premiers temps nous présenterons les équations de Maxwell sous forme conservative ainsi que le caractère hyperbolique de ce système. Le deuxième chapitre traite de l'approximation numérique utilisée pour la résolution du système de Maxwell. Il s'agit d'un schéma explicite de type volumes finis centrés aux noeuds. Après une étude de stabilité du schéma de discrétisation en espace (le beta-gama schéma), nous nous sommes intéressés au couplage des équations de Vlasov et de Maxwell. Nous montrons des résultats d'existence et d'unicité pour la solution faible périodique dans une ou plusieurs dimensions de l'espace. Ensuite nous avons proposé une nouvel méthode (MAL) pour la résolution numérique des équations différentielles avec des termes source périodiques afin d'accélérer la convergence vers les régimes périodiques. Après une partie consacré à une étude théorique sur un modèle simplifié ID, cette méthode a été étendue au système de Vlasov-Maxwell. Nous montrons l'efficacité d'une telle méthode à travers les nombreux cas test présentés.
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Marchand, Renier Gustav. "Fine element tearing and interconnecting for the electromagnetic vector wave equation in two dimensions /." Link to online version, 2007. http://hdl.handle.net/10019/363.

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Lu, Kang. "The Application of Generalised Maxwell-Stefan Equations to Protein Gels." Thesis, University of Canterbury. Chemical and Process Engineering, 2007. http://hdl.handle.net/10092/1236.

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The removal of milk fouling deposits often requires the diffusion of electrolyte solutions such as sodium hydroxide through a gel. Very often more than one single anion and one single cation are involved and thus the modelling of such diffusion requires a multicomponent description. Diffusion of electrolyte solutions through gels can be modelled using the Maxwell-Stefan equation. The driving forces for diffusion are the chemical potential gradients of ionic species and the diffusion potential, i.e., the electrostatic potential induced by diffusion of the ions. A model based on the Maxwell-Stefan equation was applied to electrolyte solutions and electrolyte solutions with a gel. When modelling the diffusion of electrolyte solutions, the resulting equations were found to be a partial differential algebraic equation system with a differentiation index of two. The identification of this characteristic of the system enabled a solution method using the method of lines to be developed. When modelling the diffusion of electrolyte solutions through a gel an explicit expression for diffusion potential was developed and hence the diffusion equations were solved. Numerical solutions were presented for a number of case studies and comparisons were made with solutions from literature and between different electrolyte systems. It was found that the results of diffusion of electrolytes were in good agreement with those of experiments and literature. In the case of diffusion of electrolytes through a gel, swelling of the gel was predicted. The model can be improved by adding thermodynamic factors and can be easily extended to multiple ion systems.
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Samet, Bessem. "L'analyse asymptotique topologique pour les équations de Maxwell et applications." Toulouse 3, 2004. http://www.theses.fr/2004TOU30021.

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Shao, Xi. "Electromagnetic modeling with a new 3D alternating-direction-implicit (ADI) Maxwell equation solver." College Park, Md. : University of Maryland, 2004. http://hdl.handle.net/1903/1821.

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Thesis (M.S.) -- University of Maryland, College Park, 2004.
Thesis research directed by: Dept. of Electrical and Computer Engineering. Title from t.p. of PDF. Includes bibliographical references. Published by UMI Dissertation Services, Ann Arbor, Mich. Also available in paper.
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Stachura, Eric Christopher. "On Generalized Solutions to Some Problems in Electromagnetism and Geometric Optics." Diss., Temple University Libraries, 2016. http://cdm16002.contentdm.oclc.org/cdm/ref/collection/p245801coll10/id/403050.

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Mathematics
Ph.D.
The Maxwell equations of electromagnetism form the foundation of classical electromagnetism, and are of interest to mathematicians, physicists, and engineers alike. The first part of this thesis concerns boundary value problems for the anisotropic Maxwell equations in Lipschitz domains. In this case, the material parameters that arise in the Maxwell system are matrix valued functions. Using methods from functional analysis, global in time solutions to initial boundary value problems with general nonzero boundary data and nonzero current density are obtained, only assuming the material parameters are bounded and measurable. This problem is motivated by an electromagnetic inverse problem, similar to the classical Calder\'on inverse problem in Electrical Impedance Tomography. The second part of this thesis deals with materials having negative refractive index. Materials which possess a negative refractive index were postulated by Veselago in 1968, and since 2001 physicists were able to construct these materials in the laboratory. The research on the behavior of these materials, called metamaterials, has been extremely active in recent years. We study here refraction problems in the setting of Negative Refractive Index Materials (NIMs). In particular, it is shown how to obtain weak solutions (defined similarly to Brenier solutions for the Monge-Amp\`ere equation) to these problems, both in the near and the far field. The far field problem can be treated using Optimal Transport techniques; as such, a fully nonlinear PDE of Monge-Amp\`ere type arises here.
Temple University--Theses
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Books on the topic "Maxwell equation"

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Kravchenko, Vladislav V. Applied quaternionic analysis. Lemgo, Germany: Heldermann, 2003.

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I, Hariharan S., Ida Nathan, and United States. National Aeronautics and Space Administration., eds. Solving time-dependent two-dimensional eddy current problems. [Washington, DC]: National Aeronautics and Space Administration, 1988.

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I, Hariharan S., Ida Nathan, and United States. National Aeronautics and Space Administration., eds. Solving time-dependent two-dimensional eddy current problems. [Washington, DC]: National Aeronautics and Space Administration, 1988.

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Lee, Min Eig. Solving time-dependent two-dimensional eddy current problems. Cleveland, Ohio: Institute for Computational Mechanics in Propulsion, 1988.

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Hydrodynamic limits of the Boltzmann equation. Berlin: Springer, 2009.

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Tsutomu, Kitoh, ed. Introduction to optical waveguide analysis: Solving Maxwell's equations and the Schrödinger equation. New York: J. Wiley, 2001.

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Giansante, Peter Daniel. High-accuracy finite-difference methods for the time-domain Maxwell equations. Ottawa: National Library of Canada, 1994.

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Giansante, Peter Daniel. High-accuracy finite-difference methods for the time-domain Maxwell equations. [Toronto, Ont.]: University of Toronto, Graduate Dept. of Aerospace Science and Engineering, 1994.

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Flato, M. Asymptotic completeness, global existence and the infrared problem for the Maxwell-Dirac equations. Providence, R.I: American Mathematical Society, 1997.

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Kawano, Kenji. Introduction to Optical Waveguide Analysis. New York: John Wiley & Sons, Ltd., 2004.

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Book chapters on the topic "Maxwell equation"

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Schram, P. P. J. M. "Klimontovich Equation, B.B.G.K.Y.-Hierarchy and Vlasov-Maxwell Equations." In Kinetic Theory of Gases and Plasmas, 33–50. Dordrecht: Springer Netherlands, 1991. http://dx.doi.org/10.1007/978-94-011-3612-9_3.

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Muniz Oliva, Waldyr. "C. Quasi-Maxwell form of Einstein’s equation." In Lecture Notes in Mathematics, 223–44. Berlin, Heidelberg: Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/978-3-540-45795-4_13.

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Schoenmaker, Wim. "Integrating Factors for Discretizing the Maxwell-Ampere Equation." In Computational Electrodynamics, 477–501. New York: River Publishers, 2022. http://dx.doi.org/10.1201/9781003337669-31.

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Imaikin, Valery, Alexander Komech, and Herbert Spohn. "Rotating Charge Coupled to the Maxwell Field: Scattering Theory and Adiabatic Limit." In Nonlinear Differential Equation Models, 143–56. Vienna: Springer Vienna, 2004. http://dx.doi.org/10.1007/978-3-7091-0609-9_11.

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Keller, Jaime. "Dirac form of Maxwell Equation ℤ n -Graded Algebras." In Spinors, Twistors, Clifford Algebras and Quantum Deformations, 189–96. Dordrecht: Springer Netherlands, 1993. http://dx.doi.org/10.1007/978-94-011-1719-7_23.

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Scully, Marlan O. "The Time-Dependent Schrödinger Equation Revisited: Quantum Optical and Classical Maxwell Routes to Schrödinger’s Wave Equation." In Time in Quantum Mechanics II, 15–24. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-03174-8_2.

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Yetkin, E. F., H. Dag, and W. H. A. Schilders. "MOESP Algorithm for Converting One-dimensional Maxwell Equation into a Linear System." In Scientific Computing in Electrical Engineering, 395–402. Berlin, Heidelberg: Springer Berlin Heidelberg, 2007. http://dx.doi.org/10.1007/978-3-540-71980-9_44.

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Yesmahanova, K. R., G. N. Shaikhova, G. T. Bekova, and Zh R. Myrzakulova. "Determinant Reprentation of Dardoux Transformation for the (2+1)-Dimensional Schrödinger-Maxwell-Bloch Equation." In Intelligent Mathematics II: Applied Mathematics and Approximation Theory, 183–98. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-30322-2_13.

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Bettini, Alessandro. "Maxwell Equations." In Undergraduate Lecture Notes in Physics, 339–96. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-40871-2_10.

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Gourgoulhon, Éric. "Maxwell Equations." In Special Relativity in General Frames, 585–627. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-37276-6_18.

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Conference papers on the topic "Maxwell equation"

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Erikson, W. L., and Surendra Singh. "Maxwell-Gaussian optical beams." In OSA Annual Meeting. Washington, D.C.: Optica Publishing Group, 1992. http://dx.doi.org/10.1364/oam.1992.wa1.

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Paraxial Gaussian-beam-like solutions of the scalar wave equation, often used to model laser beams, do not satisfy Maxwell's equations. Paraxial-beam-like solutions that satisfy Maxwell's equations are constructed from the solutions of the scalar wave equation. Polarization properties of these Maxwell-Gaussian beams in free space are discussed. It is found that a Maxwell-Gaussian beam linearly polarized in the x direction and propagating in the z direction has a weak cross polarization component in the y direction in addition to a longitudinal component in the direction of propagation. These properties are demonstrated by using light beams from an Ar-ion laser.
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Wang, Feng, Jiang Wei Fan, Xiao Gang Han, and Qin Lei Sun. "Discussion about Maxwell equation based on monopole." In 2013 IEEE International Conference on Applied Superconductivity and Electromagnetic Devices (ASEMD). IEEE, 2013. http://dx.doi.org/10.1109/asemd.2013.6780813.

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Kovács, Róbert, and Patrizia Rogolino. "Analysis of the nonlinear Maxwell-Cattaneo-Vernotte equation." In Entropy 2021: The Scientific Tool of the 21st Century. Basel, Switzerland: MDPI, 2021. http://dx.doi.org/10.3390/entropy2021-09870.

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Ru, P., P. K. Jakobsen, and J. V. Moloney. "Nonlocal Adiabatic Elimination in the Maxwell-Bloch Equation." In Nonlinear Dynamics in Optical Systems. Washington, D.C.: Optica Publishing Group, 1992. http://dx.doi.org/10.1364/nldos.1992.mc6.

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Adiabatic elimination is a standard procedure applied to the Maxwell-Bloch laser equations when one variable or more is slaved to the remaining variables. An important case in point is a laser with an extremely large gain bandwidth satisfying the condition γ⊥ ≫ γ||, k where γ⊥ is the polarization dephasing rate, γ|| the de-energization rate and k the cavity damping constant. For example, color center gain media satisfy this criterion and support hundreds of thousands of longitudinal modes in synchronous pumped mode-locking operation. For simple single mode plane wave models the crude adiabatic elimination step of setting the derivative of the polarization variable to zero can be avoided by using center manifold techniques [1]. In this general class of singular perturbation problem, the idea is to coordinatize the problem using linear stability analysis about some known solution and then to construct an approximation to the center manifold on which the (possibly dynamic) solution remains for all time. This procedure has been successfully applied to the Maxwell-Bloch equations describing a single mode homogenously broadened ring laser [2]. Extension of the procedure to nonlinear partial differential equations is very difficult in general as the resulting center manifold may be an infinite dimensional object. When transverse (or additional longitudinal) degrees of freedom are introduced in the Maxwell-Bloch equations in order to investigate spatial pattern formation (or mode-locking dynamics) we find that a crude adiabatic elimination (henceforth referred to as standard adiabatic elimination SAE) leads to nonphysical high transverse (or longitudinal) spatial wavenumber instabilities [3]. Recent attempts to apply the center manifold technique to the transverse problem have met with mixed success [4]. In fact the high transverse wavenumber instability shows an even stronger divergence than the SAE case for positive sign of the laser-atom detuning. Moreover, the analysis becomes unwieldy even in situations when the center manifold approach appears to work.
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Mulyanto, Fiki Taufik Akbar, and Bobby Eka Gunara. "Maxwell-Higgs equation on higher dimensional static curved spacetimes." In THE 5TH INTERNATIONAL CONFERENCE ON MATHEMATICS AND NATURAL SCIENCES. AIP Publishing LLC, 2015. http://dx.doi.org/10.1063/1.4930630.

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Chen, Yongpin P., Yu Mao Wu, and Wei E. I. Sha. "Modeling Rabi oscillation by rigorously solving Maxwell-Schrödinger equation." In 2015 IEEE 6th International Symposium on Microwave, Antenna, Propagation, and EMC Technologies (MAPE). IEEE, 2015. http://dx.doi.org/10.1109/mape.2015.7510448.

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Asakura, S., Y. Ashida, H. Eida, M. Kida, A. Imayoshi, and T. Fujikawa. "A New Saturation Equation based on Maxwell-Garnet Model." In The 7th International Symposium on Recent Advances in Exploration Geophysics (RAEG 2003). European Association of Geoscientists & Engineers, 2003. http://dx.doi.org/10.3997/2352-8265.20140041.

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Alekseev, G. V., A. V. Lobanov, and Yu E. Spivak. "Modeling and optimization in cloaking problems for Maxwell equation." In 2016 International Conference on Electromagnetics in Advanced Applications (ICEAA). IEEE, 2016. http://dx.doi.org/10.1109/iceaa.2016.7731422.

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Ding, Liang, and Bo Han. "A Multiresolution Method for Distributed Conductivity Estimation of Maxwell Equation." In 2009 International Joint Conference on Computational Sciences and Optimization, CSO. IEEE, 2009. http://dx.doi.org/10.1109/cso.2009.302.

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Hakim, Ammar, Uri Shumlak, Chris Aberle, and John Loverich. "Maxwell Equation Solver for Plasma Simulations Based on Mixed Potential Formulation." In 16th AIAA Computational Fluid Dynamics Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2003. http://dx.doi.org/10.2514/6.2003-3829.

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Reports on the topic "Maxwell equation"

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Hindmarsh, A. Index and consistency analysis for DAE (differential-algebraic equation) systems for Stefan-Maxwell diffusion-reaction problems. Office of Scientific and Technical Information (OSTI), March 1990. http://dx.doi.org/10.2172/6934906.

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Kabel, A. MAXWELL-LORENTZ EQUATIONS IN GENERAL FRENET-SERRET COORDINATES. Office of Scientific and Technical Information (OSTI), September 2004. http://dx.doi.org/10.2172/833082.

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Tsyfra, Ivan. Symmetry of the Maxwell and Minkowski Equations System. Journal of Geometry and Symmetry in Physics, 2012. http://dx.doi.org/10.7546/jgsp-9-2007-75-81.

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Shore, B. W., R. Sacks, and T. Karr. Coupled Maxwell-Bloch equations for pulsed Raman transitions. Office of Scientific and Technical Information (OSTI), May 1987. http://dx.doi.org/10.2172/6288592.

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Brizard, A. Nonlinear gyrokinetic Maxwell-Vlasov equations using magnetic coordinates. Office of Scientific and Technical Information (OSTI), September 1988. http://dx.doi.org/10.2172/6793579.

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Zhiquiang, C., and J. Jones. Least-Squares Approaches for the Time-Dependent Maxwell Equations. Office of Scientific and Technical Information (OSTI), December 2001. http://dx.doi.org/10.2172/15002754.

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Shang, J. S. Characteristic Based Methods for the Time-Domain Maxwell Equations. Fort Belvoir, VA: Defense Technical Information Center, August 1993. http://dx.doi.org/10.21236/ada272973.

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Perugia, I., D. Schoetzau, and P. Monk. Stabilized Interior Penalty Methods for the Time-Harmonic Maxwell Equations. Fort Belvoir, VA: Defense Technical Information Center, August 2001. http://dx.doi.org/10.21236/ada437465.

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Puta, Mircea, Marius Butur, Gheorghe Goldenthal, and Ionel Mos. Maxwell–Bloch Equations with a Quadratic Control About Ox1 Axis. GIQ, 2012. http://dx.doi.org/10.7546/giq-2-2001-280-286.

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Gottlieb, David. High-Order Time-Domain Methods for Maxwells Equations. Fort Belvoir, VA: Defense Technical Information Center, August 2000. http://dx.doi.org/10.21236/ada387163.

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