Computational Electrodynamics: A Gauge Approach with Applications in Microelectr

Description: Computational Electrodynamics by Wim Schoenmaker In this work the author will demonstrate that starting from the gauge formulation of electrodynamics using the electromagnetic potentials leads to computational tools that can very well compete with the conventional electromagnetic field-based tools. FORMAT Hardcover LANGUAGE English CONDITION Brand New Publisher Description Computational Electrodynamics is a vast research field with a wide variety of tools. In physics the principle of gauge invariance plays a pivotal role as a guide towards a sensible formulation of the laws of nature as well as computing the properties of elementary particles using the lattice formulation of gauge theories, yet the gauge principle has played a much less pronounced role in performing computation in classical electrodynamics. In this work the author will demonstrate that starting from the gauge formulation of electrodynamics using the electromagnetic potentials leads to computational tools that can very well compete with the conventional electromagnetic field-based tools. Once accepting the formulation based on gauge fields, the computational code is very transparent due to the mimetic mapping of the electrodynamic variables on the computational grid. Although the illustrations and applications originate from microelectronic engineering, the method has a much larger range of applicability. Therefore this book is of interest to everyone having interest in computational electrodynamics. The volume is organized as follows: In part 1, a detailed introduction and overview is presented of the Maxwell equations as well as the derivation of the current and charge densities is different materials. Semiconductors are responding to electromagnetic fields in a non-linear way and the induced complications are discussed in detail. In part 2, the transition of the theory of electrodynamics, using the gauge potentials, to a formulation that can serve as the gateway to computational code is presented. In part 3, the feasibility and success of the methods of part 2 are demonstrated by a collection of microelectronic device designs. Part 4 focuses on a set of topical themes that brings the reader to the frontier of research in building the simulation tools using the gauge principle in computational electrodynamics.Technical topics discussed in the book include:Electromagnetic Field EquationsConstitutive RelationsDiscretization and Numerical AnalysisFinite Element and Finite Volume MethodsDesign of Integrated Passive Components Author Biography Wim Schoenmaker spent about one third of his carrier in physics working on several aspects of gauge theories. The other two-third of his professional life he worked in the eld of microelectronics, starting in IMEC as a researcher in technology computer-aided design. When being confronted with numerous design problems in microelectronics that were induced by the increasing demand of high-frequency applications, he developed the numerical methods that are discussed in this book by exploiting his expertise in (lattice) gauge theories by adapting these methods for performing numerical simulations. Encouraged by the successful outcomes of these calculations, he co-founded the company MAGWEL that provides electronic design automation tools for microelectronic industry. He is presently the Chief-Technology Ofcer and member of the Board of Directors of MAGWEL. Wim Schoenmaker is the principal or co-author of ∼175 peer-reviewed journal and conference contributions. He is the co-author of one book, several book chapters and three patents. Table of Contents Preface; List of Symbols;PART1: Introduction; The Microscopic Maxwell Equations; The microscopic Maxwell equations in integral and differential form; Conservation laws; Potentials and Fields and the Lagrangian; The scalar and vector potential; Gauge invariance; Lagrangian for an electromagnetic field interacting with charges and currents; The Macroscopic Maxwell Equations; Constitutive equations; Boltzmann transport equation; Currents in metalsCharges in metals; Currents in semiconductors; Dielectric and Magnetic media; Wave Guides and Transmission Lines; Transmission line theory; Classical Ghosts Fields; Energy Calculations and the Poynting Vector; The Geometry of Electrodynamics; Integral Theorems; Vector identitiesPART 2: The Finite Difference Method; The Finite Element Method; The Finite Volume Method and Finite Surface Method; Finite Volume Method and the Transient RegimePART 3: Simple Test Cases; Evaluation of Coupled Inductors; Coupled Electromagnetic-TCAD Simulation for High Frequencies; EM-TCAD Solving from 0-100 THz; Large Signal Simulation of Integrated Inductors on Semi-Conducting Substrates; Inclusion of Lorentz Force Effects in TCAD Simulations; Self-Induced Magnetic Field Effects, the Lorentz Force and Fast-Transient Phenomena; EM Analysis of ESD Protection for Advanced CMOS Technology; Coupled Electromagnetic-TCAD Simulation for Fast-Transient Systems; A Fast Time-Domain EM-TCAD Coupled Simulation Framework via Matrix Exponential with Stiffness ReductionPART 4: Surface-Impedance Approximation to Solve RF Design Problems; Using the Ghost Method for Floating Domains in Electromagnetic Field Solvers; Integrating Factors for the Discretized Maxwell-Ampere Equation; Stability Analysis of the Transient Field Solver; Summary of the Numerical Techniques Details ISBN8793519842 Author Wim Schoenmaker Publisher River Publishers Language English ISBN-10 8793519842 ISBN-13 9788793519848 Media Book Format Hardcover Illustrations Yes Series River Publishers Series in Electronic Materials and Devices Year 2017 Imprint River Publishers Subtitle A Gauge Approach with Applications in Microelectronics Place of Publication Gistrup Country of Publication Denmark DEWEY 537.60285 Affiliation MAGWEL, Belgium Short Title Computational Electrodynamics UK Release Date 2017-06-30 Publication Date 2017-06-30 Pages 450 Alternative 9788793519831 Audience Postgraduate, Research & Scholarly We've got this At The Nile, if you're looking for it, we've got it. 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