Theory and Computation of Electromagnetic Fields

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Format: Hardcover
Pub. Date: 2010-11-30
Publisher(s): Wiley-IEEE Press
List Price: $164.00

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Summary

This book is intended to serve as a textbook for an entry level graduate course on electromagnetics (first seven chapters) and for an advanced level graduate course on computational electromagnetics (last five chapters). Whereas there are several textbooks available for the graduate electromagnetics course, no textbook is available for the advanced course on computational electromagnetics. This book is intended to fill this void and present electromagnetic theory in a systematic manner so that students can advance from the first course to the second without much difficulty. Even though the first part of the book covers the standard basic electromagnetic theory, the coverage is different from that in existing textbooks. This is mainly the result of the undergraduate curriculum reform that occurred during the past two decades. Many universities reduced the number of required courses in order to give students more freedom to design their own portfolio. As a result, only one electromagnetics course is required for undergraduate students in most electrical engineering departments in the country. New graduate students come to take the graduate electromagnetics course with a significant difference in their knowledge of basic electromagnetic theory. To meet the challenge to benefit all students of backgrounds, this book covers both fundamental theories, such as vector analysis, Maxwell's equations and boundary conditions, and transmission line theory, and advanced topics, such as wave transformation, addition theorems, and scattering by a layered sphere.

Author Biography

Jian-ming Jin, PhD, is Y. T. Lo Chair Professor in Electrical and Computer Engineering and Director of the Electromagnetics Laboratory and Center for Computational Electromagnetics at the University of Illinois at Urbana-Champaign. He authored The Finite Element Method in Electromagnetics (Wiley) and Electromagnetic Analysis and Design in Magnetic Resonance Imaging; coauthored Computation of Special Functions (Wiley) and Finite Element Analysis of Antennas and Arrays (Wiley); and coedited Fast and Efficient Algorithms in Computational Electromagnetics. A Fellow of IEEE, he is listed by ISI as among the world's most cited authors.

Table of Contents

Preface
Electromagnetic Field Theory
Basic Electromagnetic Theory
Review of Vector Analysis
Maxwell's Equations in Terms of Total Charges and Currents
Constitutive Relations
Maxwell's Equations in Terms of Free Charges and Currents
Boundary Conditions
Energy, Power, and Poynting's Theorem
Time-Harmonic Fields and Complex Power
References
Problems
Electromagnetic Radiation in Free Space
Scalar and Vector Potentials
Solution of Vector Potentials in Free Space
Electromagnetic Radiation in Free Space
Radiation by Surface Currents and Phased Arrays
References
Problems
Electromagnetic Theorems and Principles
Uniqueness Theorem
Image Theory
Reciprocity Theorems
Equivalence Principles
Duality Principle
Aperture Radiation and Scattering
References
Problems
Transmission Lines and Plane Waves
Transmission Line Theory
Wave Equation and General Solutions
Plane Waves Generated by a Current Sheet
Reflection and Transmission
Plane Waves in Anisotropic and Bi-Isotropic Media
References
Problems
Fields and Waves in Rectangular Coordinates
Uniform Waveguides
Uniform Cavities
Partially Filled Waveguides and Dielectric Slab Waveguides
Field Excitation in Waveguides
Fields in Planar Layered Media
References
Problems
Fields and Waves in Cylindrical Coordinates
Solution of Wave Equation
Circular and Coaxial Waveguides and Cavities
Circular Dielectric Waveguide
Wave Transformation and Scattering Analysis
Radiation by Infinitely Long Currents
References
Problems
Fields and Waves in Spherical Coordinates
Solution of Wave Equation
Spherical Cavity
Biconical Antenna
Wave Transformation and Scattering Analysis
Addition Theorem and Radiation Analysis
References
Problems
Electromagnetic Field Computation
The Finite Difference Method
Finite Differencing Formulas
One-Dimensional Analysis
Two-Dimensional Analysis
Yee's FDTD Scheme
Absorbing Boundary Conditions
Modeling of Dispersive Media
Wave Excitation and Far-Field Calculation
Summary
References
Problems
The Finite Element Method
Introduction to the Finite Element Method
Finite Element Analysis of Scalar Fields
Finite Element Analysis of Vector Fields
Finite Element Analysis in the Time Domain
Absorbing Boundary Conditions
Some Numerical Aspects
Summary
References
Problems
The Method of Moments
Introduction to the Method of Moments
Two-Dimensional Analysis
Three-Dimensional Analysis
Analysis of Periodic Structures
Analysis of Microstrip Antennas and Circuits
The Moment Method in the Time Domain
Summary
References
Problems
Fast Algorithms and Hybrid Techniques
Introduction to Fast Algorithms
Conjugate Gradient-FFT Method
Adaptive Integral Method
Fast Multipole Method
Adaptive Cross Approximation Algorithm
Introduction to Hybrid Techniques
Hybrid Finite Difference-Finite Element Method
Hybrid Finite Element-Boundary Integral Method
Summary
References
Problems
Concluding Remarks on Computational Electromagnetics
Overview of Computational Electromagnetics
Applications of Computational Electromagnetics
Challenges in Computational Electromagnetics
References
Index
Table of Contents provided by Publisher. All Rights Reserved.

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