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Relevant bibliographies by topics / Time-Dependent Maxwell's equations

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Academic literature on the topic 'Time-Dependent Maxwell's equations'

Author: Grafiati

Published: 25 January 2025

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Journal articles on the topic "Time-Dependent Maxwell's equations"

1

Huang, Yunqing, Jichun Li, and Qun Lin. "Superconvergence analysis for time-dependent Maxwell's equations in metamaterials." Numerical Methods for Partial Differential Equations 28, no. 6 (September 1, 2011): 1794–816. http://dx.doi.org/10.1002/num.20703.

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Feliziani, M., and F. Maradei. "Hybrid finite element solutions of time dependent Maxwell's curl equations." IEEE Transactions on Magnetics 31, no. 3 (May 1995): 1330–35. http://dx.doi.org/10.1109/20.376273.

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Ciarlet, Jr, P., and Jun Zou. "Fully discrete finite element approaches for time-dependent Maxwell's equations." Numerische Mathematik 82, no. 2 (April 1, 1999): 193–219. http://dx.doi.org/10.1007/s002110050417.

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Łoś, Marcin, Maciej Woźniak, Keshav Pingali, Luis Emilio Garcia Castillo, Julen Alvarez-Arramberri, David Pardo, and Maciej Paszyński. "Fast parallel IGA-ADS solver for time-dependent Maxwell's equations." Computers & Mathematics with Applications 151 (December 2023): 36–49. http://dx.doi.org/10.1016/j.camwa.2023.09.035.

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Egger, Herbert, Fritz Kretzschmar, Sascha M. Schnepp, and Thomas Weiland. "A Space-Time Discontinuous Galerkin Trefftz Method for Time Dependent Maxwell's Equations." SIAM Journal on Scientific Computing 37, no. 5 (January 2015): B689—B711. http://dx.doi.org/10.1137/140999323.

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Holland, Peter. "Hydrodynamic construction of the electromagnetic field." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 461, no. 2063 (September 19, 2005): 3659–79. http://dx.doi.org/10.1098/rspa.2005.1525.

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We present an alternative Eulerian hydrodynamic model for the electromagnetic field in which the discrete vector indices in Maxwell's equations are replaced by continuous angular freedoms, and develop the corresponding Lagrangian picture in which the fluid particles have rotational and translational freedoms. This enables us to extend to the electromagnetic field the exact method of state construction proposed previously for spin 0 systems, in which the time-dependent wavefunction is computed from a single-valued continuum of deterministic trajectories where two spacetime points are linked by at most a single orbit. The deduction of Maxwell's equations from continuum mechanics is achieved by generalizing the spin 0 theory to a general Riemannian manifold from which the electromagnetic construction is extracted as a special case. In particular, the flat-space Maxwell equations are represented as a curved-space Schrödinger equation for a massive system. The Lorentz covariance of the Eulerian field theory is obtained from the non-covariant Lagrangian-coordinate model as a kind of collective effect. The method makes manifest the electromagnetic analogue of the quantum potential that is tacit in Maxwell's equations. This implies a novel definition of the ‘classical limit’ of Maxwell's equations that differs from geometrical optics. It is shown that Maxwell's equations may be obtained by canonical quantization of the classical model. Using the classical trajectories a novel expression is derived for the propagator of the electromagnetic field in the Eulerian picture. The trajectory and propagator methods of solution are illustrated for the case of a light wave.

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Benoit, J., C. Chauvière, and P. Bonnet. "Time-dependent current source identification for numerical simulations of Maxwell's equations." Journal of Computational Physics 289 (May 2015): 116–28. http://dx.doi.org/10.1016/j.jcp.2015.02.033.

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Zhang, Ya, Li-Qun Cao, and Yau-Shu Wong. "Multiscale Computations for 3D Time-Dependent Maxwell's Equations in Composite Materials." SIAM Journal on Scientific Computing 32, no. 5 (January 2010): 2560–83. http://dx.doi.org/10.1137/080740337.

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Li, Jichun, and Yitung Chen. "Finite element study of time-dependent Maxwell's equations in dispersive media." Numerical Methods for Partial Differential Equations 24, no. 5 (December 14, 2007): 1203–21. http://dx.doi.org/10.1002/num.20314.

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Yao, Changhui, and Dongyang Shi. "Nonconforming Mixed Finite Element Method for Time-dependent Maxwell's Equations with ABC." Numerical Mathematics: Theory, Methods and Applications 9, no. 2 (May 2016): 193–214. http://dx.doi.org/10.4208/nmtma.2016.m1427.

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AbstractIn this paper, a nonconforming mixed finite element method (FEM) is presented to approximate time-dependent Maxwell's equations in a three-dimensional bounded domain with absorbing boundary conditions (ABC). By employing traditional variational formula, instead of adding penalty terms, we show that the discrete scheme is robust. Meanwhile, with the help of the element's typical properties and derivative transfer skills, the convergence analysis and error estimates for semidiscrete and backward Euler fully-discrete schemes are given, respectively. Numerical tests show the validity of the proposed method.

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Dissertations / Theses on the topic "Time-Dependent Maxwell's equations"

1

Schütte, Maria [Verfasser]. "On shape sensitivity analysis for 3D time-dependent Maxwell's equations / Maria Schütte." Paderborn : Universitätsbibliothek, 2017. http://d-nb.info/1127109979/34.

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Freese, Jan Philip [Verfasser], and C. [Akademischer Betreuer] Wieners. "Numerical homogenization of time-dependent Maxwell's equations with dispersion effects / Jan Philip Freese ; Betreuer: C. Wieners." Karlsruhe : KIT-Bibliothek, 2021. http://d-nb.info/1227451113/34.

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Gao, Liping. "Splitting finite difference methods for the time-dependent Maxwell equations." Thesis, Coventry University, 2006. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.429698.

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Mazzolo, Lisa-Marie. "Étude et développement d’un outil efficace de simulation pour l’évaluation de SER : Application à la détection d’objets enfouis à partir de plates-formes aéroportées." Electronic Thesis or Diss., Toulouse, ISAE, 2024. http://www.theses.fr/2024ESAE0047.

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La détection d'objets enfouis, qu'il s'agisse d'engins explosifs dans un contexte militaire ou de structures archéologiques dans un contexte civil, constitue une préoccupation majeure. En termes de télédétection radar, les systèmes aéroportés, comme le radar à synthèse d’ouverture (SAR), permettent une imagerie non destructive des sous-sols tout en offrant la possibilité d'explorer de vastes zones avec une distance de sécurité par rapport à celles-ci. Cependant, leur efficacité pour la détection d’objets enfouis dépend de nombreux facteurs, tels que les caractéristiques diélectriques du sol, qui affectent la profondeur de pénétration des ondes électromagnétiques, la nature des cibles, le type d'émetteur... Une étude préliminaire, permettant de prédire la réponse des cibles en fonction des caractéristiques des systèmes et de la scène, serait alors un outil précieux pour évaluer les capacités de détection avant d'engager des campagnes de mesures.Cette thèse s'inscrit dans ce contexte, en se concentrant sur la recherche, le développement et l'optimisation d'un outil de simulation numérique destiné à évaluer précisément la surface équivalente radar (SER) d'objets enfouis. L'approche proposée repose sur une stratégie d'hybridation de solveurs FVTD (Finite Volume Time Domain) appliquée à des maillages hybrides cartésiens / non-structurés dans l'optique d'optimiser les coûts de calcul. En particulier, ces maillages hybrides permettent une représentation conforme des géométries courbes et une discrétisation spatiale localement adaptée aux vitesses de propagation des ondes électromagnétiques dans les différents milieux de la scène de calcul. La procédure d'obtention de ces maillages, basée sur le découpage du domaine de calcul en sous-domaines est détaillée, et les solveurs FVTD utilisés sont décrits en soulignant les choix effectués pour optimiser leur efficacité. L'implémentation des modèles permettant une description représentative du sol, la prise en compte précise d'une source de type onde plane et le calcul de champs lointains en présence d'un milieu avec pertes, est également abordée. L'hybridation des solveurs FVTD via une stratégie multi-domaines / multi-méthodes est présentée en détail, en mettant l'accent sur l'architecture logicielle proposée et en précisant la stabilité de la solution hybride ainsi que les enjeux de l'hybridation. Enfin, une comparaison de résultats simulés avec des données expérimentales obtenues dans le cadre d'une campagne de mesures mise en œuvre pour cette thèse, fournit une première appréciation des performances de l'outil de simulation développé. Pour conclure, la thèse met en avant la possibilité d'utiliser cet outil pour étudier l'impact des paramètres de configuration des systèmes radar sur la SER d'objets enfouis pour des scénarios donnés
The detection of buried objects, whether explosive devices in a military context or archaeological structures in a civilian context, is a major concern. In radar remote sensing, airborne systems such as Synthetic Aperture Radar (SAR) allow non-destructive imaging of subsurface environments while offering the possibility of exploring large areas from a safe distance. However, their effectiveness in detecting buried objects depends on many factors, such as the dielectric properties of the soil, which affect the penetration depth of electromagnetic waves, the nature of targets, and the type of transmitter... A preliminary study that predicts target response based on system and scene characteristics would be a valuable tool for assessing detection capabilities before launching measurement campaigns.This thesis addresses such context by focusing on the research, development, and optimization of a numerical simulation tool designed to accurately evaluate the radar cross-section (RCS) of buried objects. The proposed approach is based on a hybridization strategy using Finite Volume Time Domain (FVTD) solvers applied to hybrid Cartesian/unstructured meshes to optimize computational costs. More specifically, these hybrid meshes allow for a conformal representation of curved geometries and spatial discretization adapted to the varying electromagnetic wave propagation speeds in different media. The procedure for generating these meshes, based on the subdivision of the computational domain into subdomains is detailed, and used FVTD solvers are described, highlighting the choices made to optimize their efficiency. The implementation of models for representative soil description, accurate handling of plane-wave sources, and far-field calculations in lossy media are also addressed. The hybridization of FVTD solvers through a multi-domain/multi-method strategy is presented in detail, emphasizing proposed software architecture, the stability of the hybrid solution, and the challenges of hybridization. Finally, a comparison of simulated results with experimental data obtained during a measurement campaign conducted for this thesis provides an initial assessment of the performance of developed simulation tool. In conclusion, this thesis highlights the potential of this tool in studying the impact of radar system configuration parameters on buried objects RCS in given scenarios

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Lilienthal, Martin [Verfasser], Thomas [Akademischer Betreuer] Weiland, and Herbert [Akademischer Betreuer] Egger. "Error Controlled hp-Adaptive Finite Element Methods for the Time-Dependent Maxwell Equations / Martin Lilienthal. Betreuer: Thomas Weiland ; Herbert Egger." Darmstadt : Universitäts- und Landesbibliothek Darmstadt, 2015. http://d-nb.info/111190992X/34.

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Lilienthal, Martin. "Error Controlled hp-Adaptive Finite Element Methods for the Time-Dependent Maxwell Equations." Phd thesis, 2015. http://tuprints.ulb.tu-darmstadt.de/4573/14/main.pdf.

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This thesis deals with the development and analysis of a discretization method and the error controlled adaptation of spatial and temporal discretizations in context of the time-dependent Maxwell equations. To this end, a hp space-time Galerkin discretization for Maxwell’s equations, allowing for local adaptation of the polynomial approximation order p as well as the local meshsize h, is developed and analyzed. Furthermore, the developed discretization is extended to problems with waveguide structure, in order to efficiently model waveguide ports. For the purpose of local adaptation and control of the global discretization error, a posteriori error estimates for quantities of interest such as scattering parameters or farfield quantities are derived and employed within an hp-adaptive algorithm. While such adjoint based a posteriori error estimates are available for many other problems, its application to the present problem has been newly developed in this thesis.

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Books on the topic "Time-Dependent Maxwell's equations"

1

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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2

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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Solving time-dependent two-dimensional eddy current problems. [Washington, DC]: National Aeronautics and Space Administration, 1988.

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Book chapters on the topic "Time-Dependent Maxwell's equations"

1

Hochbruck, Marlis, and Christian Stohrer. "Finite Element Heterogeneous Multiscale Method for Time-Dependent Maxwell’s Equations." In Lecture Notes in Computational Science and Engineering, 269–81. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-65870-4_18.

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De Raedt, H., K. Michielsen, J. S. Kole, and M. T. Figge. "Chebyshev Method to Solve the Time-Dependent Maxwell Equations." In Springer Proceedings in Physics, 211–15. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-642-55522-0_26.

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Fan, Jishan, and Tohru Ozawa. "Uniform Regularity for the Time-Dependent Ginzburg-Landau-Maxwell Equations." In Trends in Mathematics, 301–6. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-48812-7_38.

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Kole, J. S., M. T. Figge, and H. De Raedt. "Solving the Time-Dependent Maxwell Equations by Unconditionally Stable Algorithms." In Springer Proceedings in Physics, 205–10. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-642-55522-0_25.

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Kole, J. S., M. T. Figge, and H. De Raedt. "New Unconditionally Stable Algorithms to Solve the Time-Dependent Maxwell Equations." In Lecture Notes in Computer Science, 803–12. Berlin, Heidelberg: Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/3-540-46043-8_81.

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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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"Time-dependent fields: Faraday's law and Maxwell's equations." In Electricity and Magnetism, 39–44. Cambridge University Press, 1991. http://dx.doi.org/10.1017/cbo9781139168106.009.

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Tosti, Fabio, and Andrea Umiliaco. "FDTD Simulation of the GPR Signal for Preventing the Risk of Accidents Due to Pavement Damages." In Civil and Environmental Engineering, 597–605. IGI Global, 2016. http://dx.doi.org/10.4018/978-1-4666-9619-8.ch026.

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It is well known that road safety issues are closely dependent on both pavement structural damages and surface unevenness, whose occurrence is often related to ineffective pavement asset management. The evaluation of road pavement operability is traditionally carried out through distress identification manuals on the basis of standardized comprehensive indexes, as a result of visual inspections or measurements, wherein the failure causes can be partially detected. In this regard, ground-penetrating radar (GPR) has proven to be over the past decades an effective and efficient technique to enable better management of pavement assets and better diagnosis of the causes of pavement failures. In this study, one of the main causes (i.e. subgrade failures) of surface damage is analyzed through finite-difference time-domain (FDTD) simulation of the GPR signal. The GprMax 2D numerical simulator for GPR is used on three different types of flexible pavement to retrieve the numerical solution of Maxwell's equations in the time domain. Results show the high potential of GPR in detecting the causes of such damage.

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Freeman, Richard, James King, and Gregory Lafyatis. "Essentials of Electricity and Magnetism." In Electromagnetic Radiation, 3–42. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780198726500.003.0001.

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A review of the basic elements of electricity and magnetism is presented with an introduction to Maxwell’s equations for steady-state in a vacuum. The modifications to these equations necessary to account for time varying sources are shown to produce to a causal unification of magnetic and electric fields. The application of Maxwell’s equations in the presence of matter leads to the concepts of electric and magnetic polarization of matter. Electromagnetic radiation arises directly from Maxwell’s time-dependent equations and the basic response of materials to this radiation is discussed. Finally, electromagnetic conservation laws are derived, including electromagnetic energy and linear and angular momentum.

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Pierrus, J. "Some applications of Maxwell’s equations in matter." In Solved Problems in Classical Electromagnetism. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198821915.003.0010.

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This chapter comprises questions of a miscellaneous nature. They mostly have little in common except that all processes are time-dependent and occur within matter. The first few questions introduce some important preliminaries. For example, modifying Maxwell’s equations to include the effect of matter. The behaviour of the electromagnetic field at the boundary between two media having different properties is an important topic. The matching conditions (as they are known) are derived from both the integral and differential forms of Maxwell’s equations. Certain specific examples then follow, including some simple applications involving conductors, dielectrics and tenuous electronic plasmas. Along the way, the connection between Maxwell’s electrodynamics and the laws of geometrical optics is demonstrated explicitly.

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Conference papers on the topic "Time-Dependent Maxwell's equations"

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Gao, Liping. "Splitting finite element methods for time dependent Maxwell's equations in 2D." In Computational Electromagnetics (ICMTCE). IEEE, 2011. http://dx.doi.org/10.1109/icmtce.2011.5915542.

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Su, Qichang C., S. Mandel, S. Menon, and R. Grobe. "Split operator solution of the time-dependent Maxwell's equations for random scatterers." In International Workshop on Photonics and Imaging in Biology and Medicine, edited by Qingming Luo, Britton Chance, and Valery V. Tuchin. SPIE, 2002. http://dx.doi.org/10.1117/12.462558.

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Saito, H., T. Fujino, H. Takana, and J. Mostaghimi. "Interaction Between Rotary Arc and Injected Particles in a Non-Transferred DC Plasma Spray with Externally Applied Magnetic Field." In ITSC2017, edited by A. Agarwal, G. Bolelli, A. Concustell, Y. C. Lau, A. McDonald, F. L. Toma, E. Turunen, and C. A. Widener. DVS Media GmbH, 2017. http://dx.doi.org/10.31399/asm.cp.itsc2017p0285.

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Abstract The authors performed a time-dependent, three-dimensional numerical simulation of a non-transferred DC plasma spray with externally applied magnetic fields. Compressible Navier-Stokes equations with MHD source terms and Maxwell's equations were used as the governing equations for plasma flows. In the simulation, two operating conditions, electric currents and strength of externally applied magnetic fields, were parametrically varied in a range of 300 A to 500 A and 0.2 T to 0.8 T, respectively. Numerical results show that the application of strong magnetic fields such as 0.4 T and 0.8 T is recommended for an anode arc rotation leading to elongating an anode lifetime. A voltage variation due to the anode arc rotation shows periodic behavior with a small amplitude, which is expected to be good for plasma spraying processes. Lagrangian approach was used to track injected particles in the plasma jet and the particle temperature and position distributions on a cross section normal to the central axis of spray were studied. Swirl flows induced by the arc rotation hinder the particles from reaching the hot plasma jet. Our numerical results demonstrated that injecting particles in the opposite direction to the swirl flow is an effective way to heat the particles.

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Shang, J., and Datta Gaitonde. "On high resolution schemes for time-dependent Maxwell equations." In 34th Aerospace Sciences Meeting and Exhibit. Reston, Virigina: American Institute of Aeronautics and Astronautics, 1996. http://dx.doi.org/10.2514/6.1996-832.

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Shang, J. "High-order compact-difference schemes for time-dependent Maxwell equations." In 29th AIAA, Plasmadynamics and Lasers Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 1998. http://dx.doi.org/10.2514/6.1998-2471.

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Daveau, C., A. Riaz, Theodore E. Simos, George Psihoyios, and Ch Tsitouras. "A New Symmetric Discontinuous Galerkin Formulation for the Time-Dependent Maxwell’s Equation." In ICNAAM 2010: International Conference of Numerical Analysis and Applied Mathematics 2010. AIP, 2010. http://dx.doi.org/10.1063/1.3498462.

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SHANG, J., and DATTA GAITONDE. "Characteristic-based, time-dependent Maxwell equations solvers on a general curvilinear frame." In 24th Plasma Dynamics, and Lasers Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 1993. http://dx.doi.org/10.2514/6.1993-3178.

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Mandel, S., S. Menon, W. Harshawardhan, Qichang C. Su, and R. Grobe. "Numerical solution techniques to the time-dependent Maxwell equations for highly scattering media." In European Conference on Biomedical Optics, edited by Stefan Andersson-Engels and Michael F. Kaschke. SPIE, 2001. http://dx.doi.org/10.1117/12.447416.

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Mundell-Thomas, Karema, and Victor M. Job. "Mathematical Model of Unsteady MHD Couette Flow of Maxwell Viscoelastic Material and Heat Transfer with Ramped Wall Temperature." In The International Conference on Applied Research and Engineering. Switzerland: Trans Tech Publications Ltd, 2024. http://dx.doi.org/10.4028/p-lt6gso.

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The time-dependent magnetohydrodynamic (MHD) Couette flow of Maxwell material in a rotating system with ramped wall temperature has been examined under Ohmic (Joule) heating. The Continuity equation, Cauchy’s equation of motion, the constitutive equation for the Maxwell model, and the energy equation with Ohmic heating with relevant initial and boundary conditions are all considered in obtaining a mathematical model for the investigation. The finite element technique is applied to numerically solve the non-dimensionalized governing equations using the mathematical software MATLAB. The values of Weissenberg number, Hartmann number, Eckert number, and angular velocity of the rotating system are varied, and their effects on the fluid temperature and velocity are shown graphically and discussed.

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Daveau, C., A. Zaghdani, George Maroulis, and Theodore E. Simos. "A hp—Discontinuous Galerkin Method for the Time-Dependent Maxwell’s Equation: a priori Error Estimate." In COMPUTATIONAL METHODS IN SCIENCE AND ENGINEERING: Advances in Computational Science: Lectures presented at the International Conference on Computational Methods in Sciences and Engineering 2008 (ICCMSE 2008). AIP, 2009. http://dx.doi.org/10.1063/1.3225428.

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Reports on the topic "Time-Dependent Maxwell's equations"

1

Shields, Sidney. Novel methods for the time-dependent Maxwell's equations and their applications. Office of Scientific and Technical Information (OSTI), April 2017. http://dx.doi.org/10.2172/1352142.

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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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