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Relevant bibliographies by topics / Maxwells wave equation

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Academic literature on the topic 'Maxwells wave equation'

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Published: 6 September 2023

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Journal articles on the topic "Maxwells wave equation"

1

Sugaya, R. "Momentum-space diffusion due to resonant wave–wave scattering of electromagnetic and electrostatic waves in a relativistic magnetized plasma." Journal of Plasma Physics 56, no. 2 (October 1996): 193–207. http://dx.doi.org/10.1017/s0022377800019206.

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The momentum-space diffusion equation and the kinetic wave equation for resonant wave–wave scattering of electromagnetic and electrostatic waves in a relativistic magnetized plasma are derived from the relativistic Vlasov–Maxwell equations by perturbation theory. The p-dependent diffusion coefficient and the nonlinear wave—wave coupling coefficient are given in terms of third-order tensors which are amenable to analysis. The transport equations describing energy and momentum transfer between waves and particles are obtained by momentum-space integration of the momentum-space diffusion equation, and are expressed in terms of the nonlinear wave—wave coupling coefficient in the kinetic wave equation. The conservation laws for the total energy and momentum densities of waves and particles are verified from the kinetic wave equation and the transport equations. These equations are very useful for the theoretical analysis of transport phenomena or the acceleration and generation of high-energy or relativistic particles caused by quasi-linear and resonant wave—wave scattering processes.

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2

Vegt, Wim. "4-Dimensional Relativistic Quantum Mechanical Equilibrium in Gravitational-Electromagnetic Confinements." International Science Review 1, no. 2 (November 21, 2020): 34–61. http://dx.doi.org/10.47285/isr.v1i2.59.

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An important milestone in quantum physics was reached by the publication of the Relativistic Quantum Mechanical Dirac Equation in 1928. However, the Dirac equation represents a 1-Dimensional quantum mechanical equation which is unable to describe the 4-Dimensional Physical Reality. In this article, the 4-Dimensional Relativistic Quantum Mechanical Dirac Equation expressed in the vector probability functions and the complex conjugated vector probability function will be discussed. To realize this, the classical boundaries of physics has to be changed. It is necessary to go back in time more than 200 years ago before the Dirac Equation had been published. Isaac Newton who published in 1687 in the “Philosophiae Naturalis Principia Mathematica” a Universal Fundamental Principle in Physics was in Harmony with Science and Religion. Newton found the concept of “Universal Equilibrium” which he mentioned in his famous third equation, Action = Reaction. This article presents a New Kind of Physics based on this Universal Fundamental Concept in Physics which results in a New Approach in Quantum Physics and General Relativity. The physical concept of quantum mechanical probability waves has been originated during the famous 5th Solvay Conference in 1927. During that period there were several circumstances that came together and made it possible to create a unique idea of material waves being complex (partly real and partly imaginary) and describing the probability of the appearance of a physical object (elementary particle). The idea of complex probability waves was new in the beginning of the 20th century. Since then the New Concept has been protected carefully within the Copenhagen Interpretation. When Schrödinger published his well-known material wave equation in 1926, he found spherical and elliptical solutions for the presence of the electron within the atom. The first idea of the material waves in Schrödinger's wave equation was the concept of confined Electromagnetic Waves. But according to Maxwell, this was impossible. According to Maxwell's equations, Electromagnetic Waves can only propagate along straight lines and it is impossible that Light (Electromagnetic Waves) could confine with the surface of a sphere or an ellipse. For that reason, these material waves in Schrödinger's wave equation could only be of a different origin than Electromagnetic Waves. Niels Bohr introduced the concept of “Probability Waves” as the origin of the material waves in Schrödinger’s wave equation. And defined the New Concept that the electron was still a particle but the physical presence of the electron in the Atom was equally divided by a spherical probability function. In the New Theory, it will be demonstrated that because of a mistake in the Maxwell Equations, in 1927 Confined Electromagnetic waves could not be considered to be the material waves expressed in Schrödinger's wave equation. The New Theory presents a new equation describing electromagnetic field configurations which are also solutions of the Schrodinger's wave equation and the relativistic quantum mechanical Dirac Equation and carry mass, electric charge, and magnetic spin at discrete values.

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3

Sugaya, Reiji. "Velocity-space diffusion due to resonant wave–wave scattering of electromagnetic and electrostatic waves in a plasma." Journal of Plasma Physics 45, no. 1 (February 1991): 103–13. http://dx.doi.org/10.1017/s002237780001552x.

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The velocity-space diffusion equation describing distortion of the velocity distribution function due to resonant wave-wave scattering of electromagnetic and electrostatic waves in an unmagnetized plasma is derived from the Vlasov-Maxwell equations by perturbation theory. The conservation laws for total energy and momentum densities of waves and particles are verified, and the time evolutions of the energy and momentum densities of particles are given in terms of the nonlinear wave-wave coupling coefficient in the kinetic wave equation.

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4

Vegt, Wim. "The Illusion of Quantum Mechanical Probability Waves." European Journal of Engineering Research and Science 5, no. 10 (October 11, 2020): 1212–24. http://dx.doi.org/10.24018/ejers.2020.5.10.2153.

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An important milestone in quantum physics has been reached by the publication of the Relativistic Quantum Mechanical Dirac Equation in 1928. However, the Dirac equation represents a 1-Dimensional quantum mechanical equation which is unable to describe the 4-Dimensional Physical Reality. In this article the 4-Dimensional Relativistic Quantum Mechanical Dirac Equation expressed in the vector probability functions and the complex conjugated vector probability function will be published. To realize this, the classical boundaries of physics has to be changed. It is necessary to go back in time 300 years ago. More than 200 years ago before the Dirac Equation had been published. A Return to the Inception of Physics. The time of Isaac Newton who published in 1687 in the “Philosophiae Naturalis Principia Mathematica” a Universal Fundamental Principle in Physics which was in Harmony with Science and Religion. The Universal Path, the Leitmotiv, the Universal Concept in Physics. Newton found the concept of “Universal Equilibrium” which he formulated in his famous third equation Action = - Reaction. This article presents a New Kind of Physics based on this Universal Fundamental Concept in Physics which results in a New Approach in Quantum Physics and General Relativity. The physical concept of quantum mechanical probability waves has been created during the famous 1927 5th Solvay Conference. During that period there were several circumstances which came together and made it possible to create an unique idea of material waves being complex (partly real and partly imaginary) and describing the probability of the appearance of a physical object (elementary particle). The idea of complex probability waves was new in the beginning of the 20th century. Since then the New Concept has been protected carefully within the Copenhagen Interpretation. When Schrödinger published his famous material wave equation in 1926, he found spherical and elliptical solutions for the presence of the electron within the atom. The first idea of the material waves in Schrödinger’s wave equation was the concept of confined Electromagnetic Waves. But according to Maxwell this was impossible. According to Maxwell’s equations Electromagnetic Waves can only propagate along straight lines and it is impossible that Light (Electromagnetic Waves) could confine with the surface of a sphere or an ellipse. For that reason, these material waves in Schrödinger’s wave equation could only be of a different origin than Electromagnetic Waves. Niels Bohr introduced the concept of “Probability Waves” as the origin of the material waves in Schrödinger’s wave equation. And defined the New Concept that the electron was still a particle but the physical presence of the electron in the Atom was equally divided by a spherical probability function. In the New Theory it will be demonstrated that because of a mistake in the Maxwell Equations, in 1927 Confined Electromagnetic waves could not be considered to be the material waves expressed in Schrödinger's wave equation. The New Theory presents a new equation describing electromagnetic field configurations which are also solutions of the Schrodinger's wave equation and the relativistic quantum mechanical Dirac Equation and carry mass, electric charge and magnetic spin at discrete values.

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5

Vegt, Wim. "The Illusion of Quantum Mechanical Probability Waves." European Journal of Engineering and Technology Research 5, no. 10 (October 11, 2020): 1212–24. http://dx.doi.org/10.24018/ejeng.2020.5.10.2153.

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Abstract:

An important milestone in quantum physics has been reached by the publication of the Relativistic Quantum Mechanical Dirac Equation in 1928. However, the Dirac equation represents a 1-Dimensional quantum mechanical equation which is unable to describe the 4-Dimensional Physical Reality. In this article the 4-Dimensional Relativistic Quantum Mechanical Dirac Equation expressed in the vector probability functions and the complex conjugated vector probability function will be published. To realize this, the classical boundaries of physics has to be changed. It is necessary to go back in time 300 years ago. More than 200 years ago before the Dirac Equation had been published. A Return to the Inception of Physics. The time of Isaac Newton who published in 1687 in the “Philosophiae Naturalis Principia Mathematica” a Universal Fundamental Principle in Physics which was in Harmony with Science and Religion. The Universal Path, the Leitmotiv, the Universal Concept in Physics. Newton found the concept of “Universal Equilibrium” which he formulated in his famous third equation Action = - Reaction. This article presents a New Kind of Physics based on this Universal Fundamental Concept in Physics which results in a New Approach in Quantum Physics and General Relativity. The physical concept of quantum mechanical probability waves has been created during the famous 1927 5th Solvay Conference. During that period there were several circumstances which came together and made it possible to create an unique idea of material waves being complex (partly real and partly imaginary) and describing the probability of the appearance of a physical object (elementary particle). The idea of complex probability waves was new in the beginning of the 20th century. Since then the New Concept has been protected carefully within the Copenhagen Interpretation. When Schrödinger published his famous material wave equation in 1926, he found spherical and elliptical solutions for the presence of the electron within the atom. The first idea of the material waves in Schrödinger’s wave equation was the concept of confined Electromagnetic Waves. But according to Maxwell this was impossible. According to Maxwell’s equations Electromagnetic Waves can only propagate along straight lines and it is impossible that Light (Electromagnetic Waves) could confine with the surface of a sphere or an ellipse. For that reason, these material waves in Schrödinger’s wave equation could only be of a different origin than Electromagnetic Waves. Niels Bohr introduced the concept of “Probability Waves” as the origin of the material waves in Schrödinger’s wave equation. And defined the New Concept that the electron was still a particle but the physical presence of the electron in the Atom was equally divided by a spherical probability function. In the New Theory it will be demonstrated that because of a mistake in the Maxwell Equations, in 1927 Confined Electromagnetic waves could not be considered to be the material waves expressed in Schrödinger's wave equation. The New Theory presents a new equation describing electromagnetic field configurations which are also solutions of the Schrodinger's wave equation and the relativistic quantum mechanical Dirac Equation and carry mass, electric charge and magnetic spin at discrete values.

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6

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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7

Gevorkyan E. A. "Transverse components of the electromagnetic field in a waveguide with modulated in space and in time magnetodielectric filling." Optics and Spectroscopy 130, no. 10 (2022): 1293. http://dx.doi.org/10.21883/eos.2022.10.54865.3813-22.

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The propagation of transverse magnetic (TM) and transverse electric (TE) electromagnetic waves in a regular ideal waveguide of arbitrary cross section is considered. It is assumed that the permittivity and permeability of the magnetodielectric filling of the waveguide are functions that depend on the coordinate and time. Analytical expressions for the transverse components of the magnetic and electric vectors of the TM- and TE-fields in the waveguide are obtained from the system of Maxwell equations. They are expressed in terms of the longitudinal components of the electric and magnetic vectors, which describe the transverse magnetic and transverse electric fields in the waveguide. For the above longitudinal components of the electric and magnetic vectors, the wave equations are given, which are also obtained from the system of Maxwell's equations. Keywords: Maxwell equations, propagation of electromagnetic waves, waveguide with modulated filling, transverse components, Helmholtz equations, Dirichlet and Neumann problems.

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8

Bruce, S. A. "Maxwell-Like Equations for Free Dirac Electrons." Zeitschrift für Naturforschung A 73, no. 4 (March 28, 2018): 331–35. http://dx.doi.org/10.1515/zna-2017-0328.

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AbstractIn this article, we show that the wave equation for a free Dirac electron can be represented in a form that is analogous to Maxwell’s electrodynamics. The electron bispinor wavefunction is explicitly expressed in terms of its real and imaginary components. This leads us to incorporate into it appropriate scalar and pseudo-scalar fields in advance, so that a full symmetry may be accomplished. The Dirac equation then takes on a form similar to that of a set of inhomogeneous Maxwell’s equations involving a particular self-source. We relate plane wave solutions of these equations to waves corresponding to free Dirac electrons, identifying the longitudinal component of the electron motion, together with the corresponding Zitterbewegung (“trembling motion”).

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9

Li, Qingsong, and Simon Maher. "Deriving an Electric Wave Equation from Weber’s Electrodynamics." Foundations 3, no. 2 (June 7, 2023): 323–34. http://dx.doi.org/10.3390/foundations3020024.

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Weber’s electrodynamics presents an alternative theory to the widely accepted Maxwell–Lorentz electromagnetism. It is founded on the concept of direct action between particles, and has recently gained some momentum through theoretical and experimental advancements. However, a major criticism remains: the lack of a comprehensive electromagnetic wave equation for free space. Our motivation in this research article is to address this criticism, in some measure, by deriving an electric wave equation from Weber’s electrodynamics based on the axiom of vacuum polarization. Although this assumption has limited experimental evidence and its validity remains a topic of debate among researchers, it has been shown to be useful in the calculation of various quantum mechanical phenomena. Based on this concept, and beginning with Weber’s force, we derive an expression which resembles the familiar electric field wave equation derived from Maxwell’s equations.

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10

Fedele, Renato. "From Maxwell's theory of Saturn's rings to the negative mass instability." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 366, no. 1871 (January 25, 2008): 1717–33. http://dx.doi.org/10.1098/rsta.2007.2181.

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The impact of Maxwell's theory of Saturn's rings, formulated in Aberdeen ca 1856, is discussed. One century later, Nielsen, Sessler and Symon formulated a similar theory to describe the coherent instabilities (in particular, the negative mass instability) exhibited by a charged particle beam in a high-energy accelerating machine. Extended to systems of particles where the mutual gravitational attraction is replaced by the electric repulsion, Maxwell's approach was the conceptual basis to formulate the kinetic theory of coherent instability (Vlasov–Maxwell system), which, in particular, predicts the stabilizing role of the Landau damping. However, Maxwell's idea was so fertile that, later on, it was extended to quantum-like models (e.g. thermal wave model), providing the quantum-like description of coherent instability (Schrödinger–Maxwell system) and its identification with the modulational instability (MI). The latter has recently been formulated for any nonlinear wave propagation governed by the nonlinear Schrödinger equation, as in the statistical approach to MI (Wigner–Maxwell system). It seems that the above recent developments may provide a possible feedback to Maxwell's original idea with the extension to quantum gravity and cosmology.

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Dissertations / Theses on the topic "Maxwells wave equation"

1

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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2

Olivares, Nicole Michelle. "Accuracy of Wave Speeds Computed from the DPG and HDG Methods for Electromagnetic and Acoustic Waves." PDXScholar, 2016. http://pdxscholar.library.pdx.edu/open_access_etds/2920.

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We study two finite element methods for solving time-harmonic electromagnetic and acoustic problems: the discontinuous Petrov-Galerkin (DPG) method and the hybrid discontinuous Galerkin (HDG) method. The DPG method for the Helmholtz equation is studied using a test space normed by a modified graph norm. The modification scales one of the terms in the graph norm by an arbitrary positive scaling parameter. We find that, as the parameter approaches zero, better results are obtained, under some circumstances. A dispersion analysis on the multiple interacting stencils that form the DPG method shows that the discrete wavenumbers of the method are complex, explaining the numerically observed artificial dissipation in the computed wave approximations. Since the DPG method is a nonstandard least-squares Galerkin method, its performance is compared with a standard least-squares method having a similar stencil. We study the HDG method for complex wavenumber cases and show how the HDG stabilization parameter must be chosen in relation to the wavenumber. We show that the commonly chosen HDG stabilization parameter values can give rise to singular systems for some complex wavenumbers. However, this failure is remedied if the real part of the stabilization parameter has the opposite sign of the imaginary part of the wavenumber. For real wavenumbers, results from a dispersion analysis for the Helmholtz case are presented. An asymptotic expansion of the dispersion relation, as the number of mesh elements per wave increase, reveal values of the stabilization parameter that asymptotically minimize the HDG wavenumber errors. Finally, a dispersion analysis of the mixed hybrid Raviart-Thomas method shows that its wavenumber errors are an order smaller than those of the HDG method. We conclude by presenting some contributions to the development of software tools for using the DPG method and their application to a terahertz photonic structure. We attempt to simulate field enhancements recently observed in a novel arrangement of annular nanogaps.

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3

Strohm, Christian. "Circuit Simulation Including Full-Wave Maxwell's Equations." Doctoral thesis, Humboldt-Universität zu Berlin, 2021. http://dx.doi.org/10.18452/22544.

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Diese Arbeit widmet sich der Simulation von elektrischen/elektronischen Schaltungen welche um elektromagnetische Bauelemente erweitert werden. Im Fokus stehen unterschiedliche Kopplungen der Schaltungsgleichungen, modelliert mit der modifizierten Knotenanalyse, und den elektromagnetischen Bauelementen mit deren verfeinerten Modell basierend auf den vollen Maxwell-Gleichungen in der Lorenz-geeichten A-V Formulierung welche durch Finite-Integrations-Technik räumlich diskretisiert werden. Eine numerische Analyse erweitert die topologischen Kriterien für den Index der resultierenden differential-algebraischen Gleichungen, wie sie bereits in anderen Arbeiten mit ähnlichen Feld/Schaltkreis-Kopplungen hergeleitet wurden. Für die Simulation werden sowohl ein monolithischer Ansatz als auch Waveform-Relaxationsmethoden untersucht. Im Mittelpunkt stehen dabei Zeitintegration, Skalierungsmethoden, strukturelle Eigenschaften und ein hybride Ansatz zur Lösung der zugrundeliegenden linearen Gleichungssysteme welcher den Einsatz spezialisierter Löser für die jeweiligen Teilsysteme erlaubt. Da die vollen Maxwell-Gleichungen zusätzliche Ableitungen in der Kopplungsstruktur verursachen, sind bisher existierende Konvergenzaussagen für die Waveform-Relaxation von gekoppelten differential-algebraischen Gleichungen nicht anwendbar und motivieren eine neue Konvergenzanalyse. Auf dieser Analyse aufbauend werden hinreichende topologische Kriterien entwickelt, welche eine Konvergenz von Gauß-Seidel- und Jacobi-artigen Waveform-Relaxationen für die gekoppelten Systeme garantieren. Schließlich werden numerische Benchmarks zur Verfügung gestellt, um die eingeführten Methoden und Theoreme dieser Abhandlung zu unterstützen.
This work is devoted to the simulation of electrical/electronic circuits incorporating electromagnetic devices. The focus is on different couplings of the circuit equations, modeled with the modified nodal analysis, and the electromagnetic devices with their refined model based on full-wave Maxwell's equations in Lorenz gauged A-V formulation which are spatially discretized by the finite integration technique. A numerical analysis extends the topological criteria for the index of the resulting differential-algebraic equations, as already derived in other works with similar field/circuit couplings. For the simulation, both a monolithic approach and waveform relaxation methods are investigated. The focus is on time integration, scaling methods, structural properties and a hybrid approach to solve the underlying linear systems of equations with the use of specialized solvers for the respective subsystems. Since the full-Maxwell approach causes additional derivatives in the coupling structure, previously existing convergence statements for the waveform relaxation of coupled differential-algebraic equations are not applicable and motivate a new convergence analysis. Based on this analysis, sufficient topological criteria are developed which guarantee convergence of Gauss-Seidel and Jacobi type waveform relaxation schemes for introduced coupled systems. Finally, numerical benchmarks are provided to support the introduced methods and theorems of this treatise.

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Strohm, Christian [Verfasser]. "Circuit Simulation Including Full-Wave Maxwell's Equations / Christian Strohm." Berlin : Humboldt-Universität zu Berlin, 2021. http://d-nb.info/1229435077/34.

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Xie, Zhongqiang. "Fourth-order finite difference methods for the time-domain Maxwell equations with applications to scattering by rough surfaces and interfaces." Thesis, Coventry University, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.369842.

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Wang, Jenn-Nan. "Inverse backscattering for acoustic and Maxwell's equations /." Thesis, Connect to this title online; UW restricted, 1997. http://hdl.handle.net/1773/5794.

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Ordovas, Miquel Roland. "Covariant projection finite elements for transient wave propagation." Thesis, Imperial College London, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.342285.

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8

Fang, Fang, and Dinkoo Mehrdad. "Wave Energy of an Antenna in Matlab." Thesis, Högskolan i Halmstad, Sektionen för Informationsvetenskap, Data– och Elektroteknik (IDE), 2011. http://urn.kb.se/resolve?urn=urn:nbn:se:hh:diva-16587.

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In the modern world, because of increasing oil prices and the need to control greenhouse gas emission, a new interest in the production of electric cars is coming about. One of the products is a charging point for electric cars, at which electric cars can be recharged by a plug in cable. Usually people are required to pay for the electricity after recharging the electric cars. Today, the payment is handled by using SMS or through the parking system. There is now an opportunity, in cooperation with AES (the company with which we are working), to equip the pole with GPRS, and this requires development and maintenance of the antenna. The project will include data analysis of the problem, measurements and calculations. In this work, we are computing energy flow of the wave due to the location of the antenna inside the box. We need to do four steps. First, we take a set of points (determined by the computational mesh) that have the same distance from the antenna in the domain. Second, we calculate the angles between the ground and the points in the set. Third, we do an angle-energy plot, to analyse which angle can give the maximum energy. And last, we need to compare the maximum energy value of different position of the antenna. We are going to solve the problem in Matlab, based on the Maxwell equation and the Helmholtz equation, which is not time-dependent.

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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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Caldwell, Trevor. "Nonlinear Wave Equations and Solitary Wave Solutions in Mathematical Physics." Scholarship @ Claremont, 2012. https://scholarship.claremont.edu/hmc_theses/32.

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In this report, we study various nonlinear wave equations arising in mathematical physics and investigate the existence of solutions to these equations using variational methods. In particular, we look for particle-like traveling wave solutions known as solitary waves. This study is motivated by the prevalence of solitary waves in applications and the rich mathematical structure of the nonlinear wave equations from which they arise. We focus on a semilinear perturbation of Maxwell's equations and the nonlinear Klein - Gordon equation coupled with Maxwell's equations. Physical ramifications of these equations are also discussed.

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Books on the topic "Maxwells wave equation"

1

Fushchich, Vilʹgelʹm Ilʹich. Symmetries of Maxwell's equations. Dordrecht [Netherlands]: D. Reidel, 1987.

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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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Bécherrawy, Tamer. Electromagnetism: Maxwell equations, wave propagation, and emission. London, UK: Hoboken, NJ : John Wiley & Sons, Inc., 2012.

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

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Quesada-Pérez, Manuel. From Maxwell's equations to free and guided electromagnetic waves: An introduction for first-year undergraduates. New York: Novinka, 2014.

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Idemen, M. Mithat. Discontinuities in the electromagnetic field. Hoboken, N.J: Wiley-IEEE Press, 2011.

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Haq, Qureshi A., and United States. National Aeronautics and Space Administration., eds. Simulation of tunneLadder traveling-wave tube input/output coupler characteristics using MAFIA. [Washington, D.C.]: National Aeronautics and Space Administration, 1996.

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Harmuth, Henning F. Electromagnetic Signals: Reflection, Focusing, Distortion, and Their Practical Applications. Boston, MA: Springer US, 1999.

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N, Boules Raouf, and Hussain Malek G. M, eds. Electromagnetic signals: Reflection, focusing, distortion, and their practical applications. New York: Kluwer Academic/Plenum Publishers, 1999.

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Feynman, Richard Phillips. Quantum electrodynamics. New York: Perseus Books, 1998.

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Book chapters on the topic "Maxwells wave equation"

1

Donnevert, Jürgen. "Wave Propagation." In Maxwell´s Equations, 133–61. Wiesbaden: Springer Fachmedien Wiesbaden, 2020. http://dx.doi.org/10.1007/978-3-658-29376-5_5.

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Gonzalez, Guillermo. "Maxwell's Equations." In Advanced Electromagnetic Wave Propagation Methods, 1–37. Boca Raton: CRC Press, 2021. http://dx.doi.org/10.1201/9781003219729-1.

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Kao, Ming-Seng, and Chieh-Fu Chang. "Maxwell’s Equations." In Understanding Electromagnetic Waves, 1–50. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-45708-2_1.

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Seifert, Christian, Sascha Trostorff, and Marcus Waurick. "The Fourier–Laplace Transformation and Material Law Operators." In Evolutionary Equations, 67–83. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-89397-2_5.

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AbstractIn this chapter we introduce the Fourier–Laplace transformation and use it to define operator-valued functions of ∂t,ν; the so-called material law operators. These operators will play a crucial role when we deal with partial differential equations. In the equations of classical mathematical physics, like the heat equation, wave equation or Maxwell’s equation, the involved material parameters, such as heat conductivity or permeability of the underlying medium, are incorporated within these operators. Hence, these operators are also called “material law operators”. We start our chapter by defining the Fourier transformation and proving Plancherel’s theorem in the Hilbert space-valued case, which states that the Fourier transformation defines a unitary operator on $$L_2(\mathbb {R};H)$$ L 2 ( ℝ ; H ) .

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Bao, Gang, Aurelia Minut, and Zhengfang Zhou. "Maxwell’s Equations in Nonlinear Biperiodic Structures." In Mathematical and Numerical Aspects of Wave Propagation WAVES 2003, 406–11. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-642-55856-6_65.

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Zohuri, Bahman. "Maxwell’s Equations—Generalization of Ampère-Maxwell’s Law." In Scalar Wave Driven Energy Applications, 123–76. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-91023-9_2.

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Cohen, Gary, Xavier Ferrieres, Peter Monk, and Sébastien Pernet. "Mass-Lumped Edge Elements for the Lossy Maxwell’s Equations." In Mathematical and Numerical Aspects of Wave Propagation WAVES 2003, 383–88. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-642-55856-6_61.

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Engström, Christian, Gerhard Kristensson, Daniel Sjöberg, David J. L. Wall, and Niklas Wellander. "Homogenization of the Maxwell Equations Using Floquet-Bloch Decomposition." In Mathematical and Numerical Aspects of Wave Propagation WAVES 2003, 412–16. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-642-55856-6_66.

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Mickelson, Alan Rolf. "Maxwell’s Equations and Plane Wave Propagation." In Physical Optics, 7–87. Boston, MA: Springer US, 1992. http://dx.doi.org/10.1007/978-1-4615-3530-0_2.

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Sibley, Martin J. N. "Maxwell’s Equations and Electromagnetic Waves." In Introduction to Electromagnetism, 189–202. 2nd ed. Second edition. | Boca Raton : CRC Press, 2021.: CRC Press, 2021. http://dx.doi.org/10.1201/9780367462703-9.

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Conference papers on the topic "Maxwells wave 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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Warnick, K. F., and P. Russer. "Solving Maxwell's equations using fractional wave equations." In 2006 IEEE Antennas and Propagation Society International Symposium. IEEE, 2006. http://dx.doi.org/10.1109/aps.2006.1710682.

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Keller, Scott M., and Gregory P. Carman. "Plane wave dynamics in multiferroic materials using Maxwell's equations and equation of motion." In SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring, edited by Nakhiah C. Goulbourne and Zoubeida Ounaies. SPIE, 2012. http://dx.doi.org/10.1117/12.923595.

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Chamorro-Posada, P., and G. S. McDonald. "From Maxwell’s Equations to Helmholtz Solitons." In Nonlinear Guided Waves and Their Applications. Washington, D.C.: OSA, 2005. http://dx.doi.org/10.1364/nlgw.2005.wd3.

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Wei Sha, Xianliang Wu, Zhixiang Huang, and Mingsheng Chen. "The symplectiness of Maxwell’s equations." In 2008 International Conference on Microwave and Millimeter Wave Technology (ICMMT). IEEE, 2008. http://dx.doi.org/10.1109/icmmt.2008.4540337.

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Blair, Steve, and Kelvin Wagner. "Generalized Higher-Order Nonlinear Evolution Equation for Multi-Dimensional Spatio-Temporal Propagation." In Nonlinear Guided Waves and Their Applications. Washington, D.C.: Optica Publishing Group, 1998. http://dx.doi.org/10.1364/nlgw.1998.nwe.17.

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There is currently great interest in nonlinear spatio-temporal propagation phenomena. Advances [1] in short-pulse laser technology and in the measurement of pulse amplitude and phase [2] have allowed for the experimental study of phenomena that have been predicted theoretically using simple models of propagation. These studies have also revealed new phenomena, which have resulted in the development of new propagation models as well. Typically, one or more terms are added to the multi-dimensional nonlinear Schrodinger (NLS) equation in an attempt to explain these phenomena, but to date, no generalized higher-order spatio-temporal propagation equation has been obtained. Here, we present the results of the derivation of such a generalized envelope equation directly from Maxwell’s equations. This result uncovers physics that is not directly revealed in Maxwell’s equations in the form of higher-order terms in the NLS equation which allow for the description of the propagation of optical radiation with large spatial and temporal bandwidths.

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Fisher, A., D. White, and G. Rodrigue. "A generalized mass lumping scheme for Maxwell's wave equation." In IEEE Antennas and Propagation Society Symposium, 2004. IEEE, 2004. http://dx.doi.org/10.1109/aps.2004.1330475.

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Goorjian, Peter M., Rose M. Joseph, and Allen Taflove. "Calculations of Femtosecond Temporal Solitons and Spatial Solitons Using the Vector Maxwell's Equations." In Nonlinear Guided-Wave Phenomena. Washington, D.C.: Optica Publishing Group, 1993. http://dx.doi.org/10.1364/nlgwp.1993.tub.12.

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Experimentalists have produced all-optical switches capable of 100-fs responses [1]. Also, there are experimental observations [2] and theoretical calculations [3] of spatial soliton interactions. To adequately model such effects, nonlinearities in optical materials [4] (both instantaneous and dispersive) must be included. In principle, the behavior of electromagnetic fields in nonlinear dielectrics can be determined by solving Maxwell's equations subject to the assumption that the electric polarization has a nonlinear relation to the electric field. However, until our previous work [5 - 8], the resulting nonlinear Maxwell's equations have not been solved directly. Rather, approximations have been made that result in a class of generalized nonlinear Schrodinger equations (GNLSE) [9] that solve only for the envelope of the optical pulses.

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DOBREV, V. K., and S. T. PETROV. "Q-PLANE WAVE SOLUTIONS OF Q-MAXWELL EQUATIONS." In Proceedings of the Second International Symposium. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812777850_0035.

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Schulze, A., A. Knorr, and S. W. Koch. "Pulse Propagation and Many-body Effects in Semiconductor Four Wave Mixing." In Quantum Optoelectronics. Washington, D.C.: Optica Publishing Group, 1995. http://dx.doi.org/10.1364/qo.1995.qthe14.

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The simultaneous influence of pulse propagation and Coulomb many-body interaction in Four Wave Mixing experiments is theoretically studied using the Semiconductor-Maxwell-Bloch equations. In this framework, the propagation of the optical fields and the microscopic interaction of the light with the semiconductor are treated consistently. The Maxwell equation is used as a reduced wave equation and the many-body Coulomb interaction are treated at the level of a screened Hartree-Fock approximation including phenomenological decay terms. We have analyzed the interplay of the propagation and Coulomb effects by calculating the Four Wave Mixing signal (FWMS) for different sample lengths and various excitation conditions, i.e, for pulses with different intensities at the exciton and in the continuum.

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