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Summary
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 Notes
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 |
| Part I Electromagnetic Field Theory |
| 1 Basic Electromagnetic Theory |
| 1.1 Review of Vector Analysis |
| 1.2 Maxwell's Equations in Terms of Total Charges and Currents |
| 1.3 Constitutive Relations |
| 1.4 Maxwell's Equations in Terms of Free Charges and Currents |
| 1.5 Boundary Conditions |
| 1.6 Energy, Power, and Poynting's Theorem |
| 1.7 Time-Harmonic Fields and Complex Power |
| References |
| Problems |
| 2 Electromagnetic Radiation in Free Space |
| 2.1 Scalar and Vector Potentials |
| 2.2 Solution of Vector Potentials in Free Space |
| 2.3 Electromagnetic Radiation in Free Space |
| 2.4 Radiation by Surface Currents and Phased Arrays |
| References |
| Problems |
| 3 Electromagnetic Theorems and Principles |
| 3.1 Uniqueness Theorem |
| 3.2 Image Theory |
| 3.3 Reciprocity Theorems |
| 3.4 Equivalence Principles |
| 3.5 Duality Principle |
| 3.6 Aperture Radiation and Scattering |
| References |
| Problems |
| 4 Transmission Lines and Plane Waves |
| 4.1 Transmission Line Theory |
| 4.2 Wave Equation and General Solutions |
| 4.3 Plane Waves Generated by a Current Sheet |
| 4.4 Reflection and Transmission |
| 4.5 Plane Waves in Anisotropic and Bi-Isotropic Media |
| References |
| Problems |
| 5 Fields and Waves in Rectangular Coordinates |
| 5.1 Uniform Waveguides |
| 5.2 Uniform Cavities |
| 5.3 Partially Filled Waveguides and Dielectric Slab Waveguides |
| 5.4 Field Excitation in Waveguides |
| 5.5 Fields in Planar Layered Media |
| References |
| Problems |
| 6 Fields and Waves in Cylindrical Coordinates |
| 6.1 Solution of Wave Equation |
| 6.2 Circular and Coaxial Waveguides and Cavities |
| 6.3 Circular Dielectric Waveguide |
| 6.4 Wave Transformation and Scattering Analysis |
| 6.5 Radiation by Infinitely Long Currents |
| References |
| Problems |
| 7 Fields and Waves in Spherical Coordinates |
| 7.1 Solution of Wave Equation |
| 7.2 Spherical Cavity |
| 7.3 Biconical Antenna |
| 7.4 Wave Transformation and Scattering Analysis |
| 7.5 Addition Theorem and Radiation Analysis |
| References |
| Problems |
| Part II Electromagnetic Field Computation |
| 8 The Finite Difference Method |
| 8.1 Finite Differencing Formulas |
| 8.2 One-Dimensional Analysis |
| 8.3 Two-Dimensional Analysis |
| 8.4 Yee's FDTD Scheme |
| 8.5 Absorbing Boundary Conditions |
| 8.6 Modeling of Dispersive Media |
| 8.7 Wave Excitation and Far-Field Calculation |
| 8.8 Summary |
| References |
| Problems |
| 9 The Finite Element Method |
| 9.1 Introduction to the Finite Element Method |
| 9.2 Finite Element Analysis of Scalar Fields |
| 9.3 Finite Element Analysis of Vector Fields |
| 9.4 Finite Element Analysis in the Time Domain |
| 9.5 Absorbing Boundary Conditions |
| 9.6 Some Numerical Aspects |
| 9.7 Summary |
| References |
| Problems |
| 10 The Method of Moments |
| 10.1 Introduction to the Method of Moments |
| 10.2 Two-Dimensional Analysis |
| 10.3 Three-Dimensional Analysis |
| 10.4 Analysis of Periodic Structures |
| 10.5 Analysis of Microstrip Antennas and Circuits |
| 10.6 The Moment Method in the Time Domain |
| 10.7 Summary |
| References |
| Problems |
| 11 Fast Algorithms and Hybrid Techniques |
| 11.1 Introduction to Fast Algorithms |
| 11.2 Conjugate Gradient-FFT Method |
| 11.3 Adaptive Integral Method |
| 11.4 Fast Multipole Method |
| 11.5 Adaptive Cross Approximation Algorithm |
| 11.6 Introduction to Hybrid Techniques |
| 11.7 Hybrid Finite Difference-Finite Element Method |
| 11.8 Hybrid Finite Element-Boundary Integral Method |
| 11.9 Summary |
| References |
| Problems |
| 12 Concluding Remarks on Computational Electromagnetics |
| 12.1 Overview of Computational Electromagnetics |
| 12.2 Applications of Computational Electromagnetics |
| 12.3 Challenges in Computational Electromagnetics |
| References |
| Index |
