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Adaptive Mesh Refinement for Time-domain Numerical Electromagnetics

2007 Electromagnetism
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Release : 2007
Genre : Electromagnetism
Kind : eBook
Book Rating : 789/5 ( reviews)

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Book Synopsis Adaptive Mesh Refinement for Time-domain Numerical Electromagnetics by : Costas D. Sarris

Download or read book Adaptive Mesh Refinement for Time-domain Numerical Electromagnetics written by Costas D. Sarris. This book was released on 2007. Available in PDF, EPUB and Kindle. Book excerpt: Therefore, they are excellent computer analysis and design (CAD) tools. The book starts by introducing the FDTD technique, along with challenges related to its application to the analysis of real-life microwave and optical structures. It then proceeds to developing an adaptive mesh refinement method based on the use of multiresolution analysis and, more specifically, the Haar wavelet basis. Furthermore, a new method to embed a moving adaptive mesh in FDTD, the dynamically adaptive mesh refinement (AMR) FDTD technique, is introduced and explained in detail. To highlight the properties of the theoretical tools developed in the text, a number of applications are presented, including: Microwave integrated circuits (microstrip filters, couplers, spiral inductors, cavities); Optical power splitters, Y-junctions, and couplers; Optical ring resonators; Nonlinear optical waveguides.

Adaptive Mesh Refinement in Time-Domain Numerical Electromagnetics

2022-05-31 Technology & Engineering
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Release : 2022-05-31
Genre : Technology & Engineering
Kind : eBook
Book Rating : 955/5 ( reviews)

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Book Synopsis Adaptive Mesh Refinement in Time-Domain Numerical Electromagnetics by : Costas Sarris

Download or read book Adaptive Mesh Refinement in Time-Domain Numerical Electromagnetics written by Costas Sarris. This book was released on 2022-05-31. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is a comprehensive presentation of state-of-the-art methodologies that can dramatically enhance the efficiency of the finite-difference time-domain (FDTD) technique, the most popular electromagnetic field solver of the time-domain form of Maxwell's equations. These methodologies are aimed at optimally tailoring the computational resources needed for the wideband simulation of microwave and optical structures to their geometry, as well as the nature of the field solutions they support. That is achieved by the development of robust “adaptive meshing” approaches, which amount to varying the total number of unknown field quantities in the course of the simulation to adapt to temporally or spatially localized field features. While mesh adaptation is an extremely desirable FDTD feature, known to reduce simulation times by orders of magnitude, it is not always robust. The specific techniques presented in this book are characterized by stability and robustness. Therefore, they are excellent computer analysis and design (CAD) tools. The book starts by introducing the FDTD technique, along with challenges related to its application to the analysis of real-life microwave and optical structures. It then proceeds to developing an adaptive mesh refinement method based on the use of multiresolution analysis and, more specifically, the Haar wavelet basis. Furthermore, a new method to embed a moving adaptive mesh in FDTD, the dynamically adaptive mesh refinement (AMR) FDTD technique, is introduced and explained in detail. To highlight the properties of the theoretical tools developed in the text, a number of applications are presented, including: Microwave integrated circuits (microstrip filters, couplers, spiral inductors, cavities). Optical power splitters, Y-junctions, and couplers Optical ring resonators Nonlinear optical waveguides. Building on first principles of time-domain electromagnetic simulations, this book presents advanced concepts and cutting-edge modeling techniques in an intuitive way for programmers, engineers, and graduate students. It is designed to provide a solid reference for highly efficient time-domain solvers, employed in a wide range of exciting applications in microwave/millimeter-wave and optical engineering.

Adaptive Mesh Refinement for Time-domain Electromagnetics Using Vector Finite Elements

2005
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Release : 2005
Genre :
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Adaptive Mesh Refinement for Time-domain Electromagnetics Using Vector Finite Elements by : C. David Turner

Download or read book Adaptive Mesh Refinement for Time-domain Electromagnetics Using Vector Finite Elements written by C. David Turner. This book was released on 2005. Available in PDF, EPUB and Kindle. Book excerpt: This report investigates the feasibility of applying Adaptive Mesh Refinement (AMR) techniques to a vector finite element formulation for the wave equation in three dimensions. Possible error estimators are considered first. Next, approaches for refining tetrahedral elements are reviewed. AMR capabilities within the Nevada framework are then evaluated. We summarize our conclusions on the feasibility of AMR for time-domain vector finite elements and identify a path forward.

Adaptive Mesh Refinement - Theory and Applications

2005-12-20 Mathematics
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Release : 2005-12-20
Genre : Mathematics
Kind : eBook
Book Rating : 396/5 ( reviews)

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Book Synopsis Adaptive Mesh Refinement - Theory and Applications by : Tomasz Plewa

Download or read book Adaptive Mesh Refinement - Theory and Applications written by Tomasz Plewa. This book was released on 2005-12-20. Available in PDF, EPUB and Kindle. Book excerpt: Advanced numerical simulations that use adaptive mesh refinement (AMR) methods have now become routine in engineering and science. Originally developed for computational fluid dynamics applications these methods have propagated to fields as diverse as astrophysics, climate modeling, combustion, biophysics and many others. The underlying physical models and equations used in these disciplines are rather different, yet algorithmic and implementation issues facing practitioners are often remarkably similar. Unfortunately, there has been little effort to review the advances and outstanding issues of adaptive mesh refinement methods across such a variety of fields. This book attempts to bridge this gap. The book presents a collection of papers by experts in the field of AMR who analyze past advances in the field and evaluate the current state of adaptive mesh refinement methods in scientific computing.

Numerical Electromagnetics

2011-04-07 Science
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Release : 2011-04-07
Genre : Science
Kind : eBook
Book Rating : 987/5 ( reviews)

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Book Synopsis Numerical Electromagnetics by : Umran S. Inan

Download or read book Numerical Electromagnetics written by Umran S. Inan. This book was released on 2011-04-07. Available in PDF, EPUB and Kindle. Book excerpt: Beginning with the development of finite difference equations, and leading to the complete FDTD algorithm, this is a coherent introduction to the FDTD method (the method of choice for modeling Maxwell's equations). It provides students and professional engineers with everything they need to know to begin writing FDTD simulations from scratch and to develop a thorough understanding of the inner workings of commercial FDTD software. Stability, numerical dispersion, sources and boundary conditions are all discussed in detail, as are dispersive and anisotropic materials. A comparative introduction of the finite volume and finite element methods is also provided. All concepts are introduced from first principles, so no prior modeling experience is required, and they are made easier to understand through numerous illustrative examples and the inclusion of both intuitive explanations and mathematical derivations.

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