A01=Wim Schoenmaker
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Applied Mathematics
Author_Wim Schoenmaker
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Category1=Non-Fiction
Category=PHK
Category=PHV
computation
COP=Denmark
Coulomb Gauge
Current Continuity Equations
Current Density
Delivery_Pre-order
Drift Diffusion Model
Electric Field
Electrodynamics
electromagnetic potentials
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finite element analysis
Gauge Condition
Gauge Invariance
gauge theory simulation
Gauge Transformation
Ghost Field
integrated circuit design
Krylov Subspace Methods
Lagrangian Density
Language_English
LF
Magnetic Field
Magnetic Field Strength
Maxwell Equations
Metallic Domains
microelectronic
mimetic discretization methods
Multi-domain Simulation
Newton's Iteration
numerical analysis
numerical electrodynamics
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Price_€20 to €50
PS=Forthcoming
Scr
semiconductor device modeling
semiconductors
Silicon Wire
Simulation Domain
simulation electrical engineering
softlaunch
TCAD
TCAD Simulation
Vector Potential
Wave Guide
Product details
- ISBN 9788770044325
- Weight: 1047g
- Dimensions: 156 x 234mm
- Publication Date: 21 Oct 2024
- Publisher: River Publishers
- Publication City/Country: DK
- Product Form: Paperback
- Language: English
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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 EquationsConstitutive RelationsDiscretization and Numerical AnalysisFinite Element and Finite Volume MethodsDesign of Integrated Passive Components
