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Computational Electrodynamics - A Gauge Approach with Applications in Microelectronics (Hardcover)
Loot Price: R2,584
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Computational Electrodynamics - A Gauge Approach with Applications in Microelectronics (Hardcover)
Series: River Publishers Series in Electronic Materials and Devices
Expected to ship within 10 - 15 working days
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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
General
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