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 108 for “"Maxwell's Equations"”.
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High Order Energy - Conserved Splitting FDTD Methods for Maxwell's Equations
Computation of Maxwell's equations has been playing an important role in many applications, such as the radio-frequencies, microwave antennas, aircraft radar, integrated optical circuits, wireless engineering and materials, etc. It is of particular importance to develop numerical methods to solve …
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Novel applications of Maxwell's equations to quantum and thermal phenomena
This thesis is concerned with the extension of Maxwell's equations to situations far removed from standard electromagnetism, in order to discover novel phenomena. We discuss our contributions to the efforts to describe quantum fluctuations, known as Casimir forces, in terms of classical …
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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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Remote-sensing of underground caverns using a full-Maxwell's equations FDTD model
… Earth's surface. Three-dimensional, full-vector Maxwell's equations finite-difference time-domain (FDTD) modeling is employed to obtain the signatures for different caverns of various depths and dimensions. It is found that by removing the signature of the ground, the presence of an underground …
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Development and application of hybrid finite methods for solution of time dependent maxwell's equations
… using divergence-free constraint equations is proposed. The method is directly extended to eliminate appearance of non-physical modes in the eigenvalue modeling of electromagnetic resonators. An efficient implementation of the constraint equation using tree-cotree decomposition of …
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Application of Helmholtz/Hodge Decomposition to Finite Element Methods for Two-Dimensional Maxwell's Equations
… new finite element schemes for two-dimensional Maxwell's equations. We begin with the introduction of Maxwell's equations and a brief survey of finite element methods for Maxwell's equations. Then we review the related fundamentals in Chapter 2. In Chapter 3, we discuss the related vector …
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Efficient solution of Maxwell's equations using the nonuniform orthogonal finite difference time domain method
The Finite Difference Time Domain (FDTD) method is limited by memory requirements and computation time when applied to large problems, complicated geometries, or geometries with fine features. In this thesis, the nonuniform orthogonal FDTD method is presented and applied to a variety of …
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Modeling the interaction of light with photonic structures by direct numerical solution of Maxwell's equations
… method for the direct numerical solution of the Maxwell's equations of classical electromagnetism. This is the FDTD (Finite-Difference Time-Domain) method, along with its implementation in an "in-house" computing code for large parallelized simulations. Both are then applied to the modelization …
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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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Numerical Boundary Conditions for the Fourth -Order Accurate Finite -Difference Time -Domain Solution of Maxwell's Equations
… finite-difference time-domain (FDTD) methods for Maxwell's equations. In this dissertation, a new set of numerical boundary conditions at perfectly conducting walls and dielectric interfaces is proposed for Fang's fourth-order FDTD schemes. The eigenvalue analysis of the fully discrete systems …
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Efficient mesh truncation techniques for the solution of Maxwell's equations using the finite-difference time domain method
The application of the Finite Difference Time Domain (FDTD) method to open region radiation problems requires the truncation of the infinite domain down to a finite-sized domain amenable to numerical simulation. The accuracy of the solution and the computational expense required to attain the …
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Critical analysis of a practical fourth order finite-difference time-domain algorithm for the solution of Maxwell's equations
… is a highly effective numerical method of solvingMaxwell's equations in the time domain. Traditionally the approximation of the derivatives in Maxwell's equations is based on a central differencing scheme which is second order accurate (second order). The high complexity of today's electromagnetic …
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On the Efficient and Accurate Application of Partial Differential Equation Solvers of Maxwell's Equations in the Time Domain
… may exist which may be more consistent with Maxwell's equations and more accurate than the previous relation. The new field/voltage relation given is derived qualitatively by comparing the symmetric condensed node TLM algorithm with the Yee algorithm. It is demonstrated numerically that this …
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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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Studies of Coherent Synchrotron Radiation with the Discontinuous Galerkin Method
… this thesis, we present methods for integrating Maxwell's equations in Frenet-Serret coordinates in several settings using discontinuous Galerkin (DG) finite element method codes in 1D, 2D, and 3D. We apply these routines to the study of coherent synchrotron radiation, an important topic in …
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Modeling of transport mechanisms and quality changes during the microwave frying of foods by solving hybrid mixture theory-based unsaturated transport equations coupled with maxwell's equations of electromagnetism
Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2027-08-01
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The Adaptive Cross Approximation Algorithm Applied to Electromagnetic Scattering by Bodies of Revolution
Finding solutions to Maxwell's Equations is the key to modeling all electromagnetic phenomenon. One approach to solving Maxwell's Equations is to use an integral equation approach. The integral equations can then be solved numerically by approaches like the method of moments or the Nystrom method. …
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Novel Metamaterial Blueprints and Elements for Electromagnetic Applications
… we explore the metric invariance of Maxwell's equations to design metamaterial blueprints for three novel electromagnetic devices. The metric invariance of Maxwell's equations here means that the effects of an (hypothetical) distortion of the background spatial domain on the …
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Simulation methods for plasmonic structures
… in metallic nanostructures is not captured by Maxwell's equations, thus requiring additional modeling. From the simulation perspective, the disparity in length scales stemming from the extreme field localization exceeds the capabilities of most numerical simulation schemes. In addition, …
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Gaussian beam scattering from a deterministic rough metal surface
… the rough surface. These fields do not satisfy Maxwell's source free equations, but they are forced to satisfy Maxwell's equations with distributed sources upon the introduction of fictitious volume currents distributions which correct for the field errors. Additionally, current sheet …
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