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’s equations"”.
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A Streamline Upwind/ Petrov-Galerkin FEM based time-accurate solution of 3D time-domain Maxwell's equations for dispersive materials
… the time-accurate solution of the 3D time-domain Maxwell’s equations for dispersive materials in a Streamline Upwind/Petrov-Galerkin framework is investigated. For this purpose the permittivity associated with a material is expressed as a matrix, enabling the solution of anisotropic material …
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Direct and inverse electromagnetic scattering problems for bi-anisotropic periodic media
… object and is governed by the time-harmonic Maxwell’s equations with Rayleigh radiation condition. Bi-anisotropy means the object is characterized by three quantities: permittivity, permeability and magnetoelectric coupling coefficient. These are 3 × 3 matrix-valued functions of the spatial …
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Aspects of dynamically enhanced electromagnetic fields from charged relativistic sources in a beam pipe
… limit analytic field solutions to Maxwell’s equations are determined in both the time and frequency domains, where the fields are explored for various non-stochastic and stochastic multiple pulse source configurations. Their frequency behaviour is shown to be bounded by envelopes …
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The diffraction of monsters from complex apertures
… describing scattering through boundary integral equations. Analysis begins with revisiting Lamb’s ingenious solution to the classic knife-edge problem, known for over a century. Maxwell’s equations are solved for an incoming plane wave (subjectto appropriate boundary conditions on a …
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Implementation and experiments with the discontinuous Galerkin method for Maxwell's equations
… discontinuous Galerkin method (DGM) for solving Maxwell’s equations. Each step leading to the development of a computer code for this method is explained in detail, and samples codes are included in the Appendix. This work also shows numerical results of several experiments with the method, …
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Study of Linear and Nonlinear Optical Interactions of Micro/Nanoparticles Embedded in an Organosiloxane Matrix
… altering their physical and chemical properties. Maxwell’s equations well-describe the physical phenomena of light-matter interactions, where the dielectric polarization is subject to drastic changes with respect to the incident optical field intensity. Such variations can lead to significant …
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Submanifold Helicity
… of forms and vector fields to show that Maxwell’s Equations can be reduced to two equations of differential forms. We continue our exploration of mathematics in physics with the Biot-Savart operator; this operator calculates the associated magnetic field on a domain Ω given an electric …
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Propagation of electromagnetic waves in spatially dispersive inhomogeneous media
… are additional to the standard ones provided by Maxwell’s equations. The conditions found are shown to reduce to those established previously by Pekar in the case of a boundary between a spatially dispersive region and a purely temporally dispersive region. The polarisation is also found for a …
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Modeling of Joule heating and thermoelectric transport in thin film silicon for SJEM measurement
… expansion microscopy (SJEM). Time varying heat equations and Maxwell’s equations are solved in frequency domain and applied to commercial finite element software, COMSOL. Chapter 1 introduces various techniques to obtain nanoscale temperature distribution. In Chapter 2, Joule heating and …
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Application of the time-domain finite-element method to analysis of 3D electric machine problems
… In this work, starting from time-domain Maxwell’s equations, we firstly derive the A formulation of the time-domain finite-element method. This serves as the basic version of TDFEM which could be used to simulate the simplest linear machine problems. Then, by testing the convergence of a …
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Designing and Optimizing Magnetohydrodynamic Induction Marine Energy Harvester
… A theoretical 2D model was developed based on Maxwell’s equations and Fourier analysis to characterize the physics governing MHD power generation in seawater. This model was extended to multiple concentric gaps on one device, refining predictions of power output under varying flow regimes. …
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Infrared Energy Conversion in Plasmonic Fields at Two-Dimensional Semiconductors
… approximate discrete dipole (DDA) solutions to Maxwell’s equations guided metal nanoantenna design towards strong infrared localized surface plasmon resonance (LSPR). Excitation and damping dynamics of LSPR in heterostructures of noble metal nanoantennas and molybdenum- or tungsten-disulfide …
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Finite element analysis of 3D electric machine problems
… analyze electric machine problems. Starting from Maxwell’s equations, we derive the governing equations using both magnetic vector and electric scalar potentials. We then discuss the finite element implementation, which includes the use of higher-order elements and isoparametric elements. Since …
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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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Modeling, Manufacturing, and Experimental Validation of an Electric Machine for Aircraft Propulsion
… a segmented Halbach array rotor is derived from Maxwell’s Equations. The closed-form solution for the air-gap field matches Finite Element Analysis (FEA) to within 1% and experimental data from the manufactured prototype to within the tolerance of the experiment. A method for modeling a slotted …
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Kaluza-Klein Reduction of Pure Gravity and its Implications for K3 Surface Compactifications
… unification of Einsteinian gravity and Maxwell’s equations could occur in five (4+1) dimensions if the dependence on the fourth spatial coordinate is ignorable. Klein noted that the last assumption would be natural for a compact extra dimension (i.e., a circle, rather than a line) of …
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Applications of Artificial Intelligence to Electromagnetism and Indoor Wireless Networks
… To this end, first, an innovative solution to Maxwell’s equations through graph neural network (GNN) message passing is introduced by establishing a causal connection between GNNs and the finite-difference time-domain method. Consequently, an expedient and credible data-driven radio propagation …
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Inverse Design of Random Emitters in Nanophotonics
… may be challenging, as it naively requires Maxwell’s equations to be solved for all emitters to obtain the total response, which becomes computationally intractable in conjunction with large-scale optimization (inverse design). In this work, we present a trace formulation of random emitters …
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Lightning Electromagnetic Pulse Functions and Protecting the Artemis Spacecraft
… standards. We work with transcendental equations to peak-correct or “normalize” these functions, then solve for parameters graphically. To calculate the electromagnetic fields from lightning, we derive integrals from Lorenz and Maxwell’s equations, and we evaluate these integrals …
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