Computational Electrodynamics

A Gauge Approach with Applications in Microelectronics

Wim Schoenmaker (Autor)

Buch | Hardcover

450 Seiten

2017
River Publishers (Verlag)
978-87-93519-84-8 (ISBN)

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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 Equations
Constitutive Relations
Discretization and Numerical Analysis
Finite Element and Finite Volume Methods
Design of Integrated Passive Components

Wim Schoenmaker

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 metals
Charges 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 identities

PART 2: The Finite Difference Method; The Finite Element Method; The Finite Volume Method and Finite Surface Method; Finite Volume Method and the Transient Regime

PART 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 Reduction

PART 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

Erscheinungsdatum	06.07.2017
Reihe/Serie	River Publishers Series in Electronic Materials and Devices
Verlagsort	Gistrup
Sprache	englisch
Maße	156 x 234 mm
Themenwelt	Mathematik / Informatik ► Mathematik
	Naturwissenschaften ► Physik / Astronomie ► Angewandte Physik
	Naturwissenschaften ► Physik / Astronomie ► Elektrodynamik
	Naturwissenschaften ► Physik / Astronomie ► Mechanik
	Technik ► Elektrotechnik / Energietechnik
ISBN-10	87-93519-84-2 / 8793519842
ISBN-13	978-87-93519-84-8 / 9788793519848
Zustand	Neuware