Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 34 for “"Maxwell equations"”.
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A study of node-based finite elements for the solution of the time-harmonic Maxwell equations
… to cause difficulties in the solution of the Maxwell equations. These difficulties are discussed and investigated by means of numerical examples in this thesis. Time-harmonic source problems and eigen-problems are analyzed using mixed node-based finite elements. The results are compared to …
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An Application of the Lie Group Theory of Continuous Point Transformations to the Vlasov-Maxwell Equations (Plasma Physics)
The concept of invariance of partial differential equations under Lie groups of continuous point transformations is employed to study the Vlasov-Maxwell equations of plasma physics. These equations are first expressed in arbitrary orthogonal, curvilinear coordinates. Their invariance properties are …
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On the parallels between the Maxwell and Dirac equations
… we explore deeply the similarity between the Maxwell and Dirac equations. We reformulate the Dirac equation in an \emph{exact} form of the Maxwell equations, which we refer to as the ``electronic Maxwell equations.'' In this formulation, the standard free Maxwell equations emerge as a special …
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Transient Electromagnetic Waves in Nonlinear Media
… of the constitutive functional and the Maxwell equations. Some applications of nonlinear electromagnetics are also discussed. Paper I treats the inverse scattering problem for an isotropic, homogeneous, nonlinear slab, subjected to a normally incident field. It is shown that when both …
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On Generalized Solutions to Some Problems in Electromagnetism and Geometric Optics
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 …
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Error analysis of higher order time-domain finite element methods for the one-dimensional Maxwell's equations
… accurate schemes to test their viability for the Maxwell equations. Only the one-dimensional case is considered. The temporal integration methods utilized are the first two backward differentiation formula (BDF), second through fourth order modified extended backward differentiation formula …
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Pulsed-Power Busbar Design for High-Powered Applications
… construction was completed using the fundamental Maxwell equations and computer simulations. Main focuses include handling of EMF, high current density concentrations, and overall mechanical stability of the system and how these effects determine the physical design and implementation. In the end, …
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On finite element solutions for bounded time-harmonic scattering problems with an exact nonlocal boundary condition.
… scattering problems in partial differential equations have been thoroughly analyzed for many years. These problems are originally posed in an unbounded domain, but to easily discretize the domain, we will instead restrict to a finite, bounded domain and utilize the finite element method to …
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Subdimensional particles and higher rank quantum phases of matter
… this new tensor electromagnetism, including its Maxwell equations, force laws, and electrostatic properties. Finally, as a special case of the higher rank formalism, we will study a rank 2 phase featuring a gravity-like low-energy theory. We will show how to reconcile the restricted mobility of …
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Closed-loop control of vortex shedding by means of Lorentz force
… the Lorentz force is derived by integrating the Maxwell equations and using series expansions. This expression is then used for the control of vortex shedding in numerical simulations. Specifically, a closed-loop control algorithm is derived utilizing a single point sensor on the cylinder surface …
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Numerical study of p-wave superconductivity in Sr2RuO4
… used to solve the coupled Ginzburg-Landau-Maxwell equations for the model. In Chapter 4, I present numerical solutions of the Ginzburg-Landau equations for the proposed model in realistic geometries and show that the data can be simulated using physically reasonable parameters. I also …
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Study on transformation-based invisibility cloaks
… cloaks is provided based on the macroscopic Maxwell equations. Analytic scattering models are formulated for studying ideal and non-ideal invisibility cloaks. The physics behind perfect invisibility that the coordinate transformation theory did not show is explored by analytically calculating …
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Time-dependent adjoint-based optimization of photonic crystals and metamaterials using a stabilized finite element method
… gradient-based optimization. The time-dependent Maxwell equations are discretized using a semi-discrete Petrov-Galerkin method, and time advancement is accomplished with an implicit, second-order backward differentiation formulation (BDF2). Utilizing the developed capability, two gradient-based …
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Propagation Effect In Inhomogeneous Media, Including Media With Light-induced And Fixed Gratings
… This defense also contains the approximation of Maxwell equations for the description of depolarized light sources and polarization-insensitive detectors. A scalar wave equation, Z-Helmholtz equation, is proposed and discussed in the approximation of constant impedance media. As examples, this …
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Modeling the Dynamics of Liquid Metal in Fusion Liquid Walls Using Maxwell-Navier-Stokes Equations
… magnetic field. By directly solving the Maxwell equations in combination with Navier-Stokes equations, it becomes possible to predict the magnetic field even when the fluid is in motion. In this dissertation, a numerical framework utilizing the Maxwell-Navier-Stokes system is explored to …
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Electron Energy Loss Spectroscopy and Optical Properties of Plasmonic Nanostructure
… area. In general, they will try to solve Maxwell equations with many different boundary conditions numerically. Optical properties of nanomaterials are also very tremendous for us to understand plasmonics behavior in the external electromagnetic fields. We systematically performed FEM …
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Solving the system of Radiation Magnetohydrodynamics : for solar physical simulations in 3d
… present a finite-volumen scheme for solving the equations of radiation magnetohydrodynamics in two and three space dimensions. Among other applications this system is used to model the plasma in the solar convection zone and in the solar photosphere. It is a non--linear system of balance laws …
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Optical Precursor Behavior
… field is described by an integral resulting from Maxwell’s Equations. It was previously believed that optical precursors, a specific transient effect, existed only for only a few optical cycles and contributed only small magnitudes to the field. The main results of this thesis show that the …
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Study of Field Enhancement by Spherical Voids in Gold Lattices by Using Three Dimensional Finite Difference Time Domain Simulations
… (3D FDTD) is a numerical method for solving Maxwell equations and determine accurate interaction of light. Self-assembled spherical voids in gold films were modeled to study the geometry dependence of reflectance. Their geometry was optimized for maximum intensity enhancement at 980 nm. Four …
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Asymptotic staticity and tensor decompositions with fast decay conditions
… flat vacuum initial data for Einstein's field equations which are static or stationary in a neighborhood of space-like infinity, yet quite general in the interior. The proof relies on some abstract, non-constructive arguments which makes it difficult to calculate such data numerically by using …
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