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Informationen zum Autor Frederic R. Morgenthaler , PhD, joined the faculty of the Massachusetts Institute of Technology in 1960, becoming a Full Professor in 1968. He retired from MIT in 1996 and is currently Professor Emeritus of Electrical Engineering. Dr. Morgenthaler has served as a consultant to the U.S. government as well as private industry. A Fellow of the IEEE and the holder of approximately one dozen patents, Dr. Morgenthaler has authored over 100 scientific publications and papers. Klappentext Unique, multi-level textbook is adaptable to introductory, intermediate, and advanced levelsThis revolutionary textbook takes a unique approach to electromagnetic theory, comparing both conventional and modern theories. It explores both the Maxwell-Poynting representation as well as the Alternate representation, which the author demonstrates is generally simpler and more suitable for analyzing modern electromagnetic environments. Throughout the text, students and researchers have the opportunity to examine both of these theories and discover how each one can be applied to solve problems.The text is divided into four parts:* Part I: Basic Electromagnetic Theory includes Maxwell's equations, quasistatics, power and energy, stress and momentum, and electromagnetic wave theorems and principles* Part II: Four-Dimensional Electromagnetism includes four-dimensional vectors and tensors and energy-momentum tensors* Part III: Electromagnetic Examples includes statics and quasistatics, accelerating charges, plane waves, transmission lines, waveguides, antennas and diffraction, and ferrites* Part IV: Backmatter includes a summary, appendices, and referencesDesigned to accommodate a broad range of interests and backgrounds, the text's companion DVD enables readers to reconfigure the material as an introductory-, intermediate-, or advanced-level text. Moreover, the text and its DVD offer a broad range of features that make it possible for readers to quickly grasp new concepts and apply them in practice:* Practice problems provide the opportunity to solve real-world problems using electromagnetic theory* Forty animations illustrate electric and magnetic field transients* Line drawings and computer-generated mathematical figures clarify complex concepts and procedures.* Maxima, a powerful symbolic mathematics program, helps readers explore four-dimensional electromagnetic theory as well as perform numerical and graphical analysesAdaptable to multiple levels, this text can be used for both undergraduate and graduate coursework. It is also recommended as a reference for researchers in such fields as electrical engineering, laser physics, materials science, and biomedical engineering. Zusammenfassung * Includes both conventional electromagnetic theory, Maxwell-Poynting representation, and also Alternate representation theory which is more suitable for modern EM environments. Students and theorists can examine two separate theories and witness the same outcomes. Inhaltsverzeichnis Preface xxi Acknowledgments xxvii List of Figures xxix PART I BASIC ELECTROMAGNETIC THEORY 1 Maxwell's Equations 5 1.1 Mathematical notation 5 1.2 Free-space fields and forces 6 1.3 Vector and scalar potentials 10 1.4 Inhomogeneous wave equations for E and H 12 1.5 Static fields 12 1.6 Integration of the inhomogeneous wave equation 15 1.7 Polarizable, magnetizable, and conducting media 18 1.8 Boundary conditions 24 1.9 The complex Maxwell Equations 26 2 Quasistatic Approximations 29 2.1 Quasistatic expansions of a standing wave 30 2.2 Electroquasistatic (EQS) fields 31 2.3 Magnetoquasistatic ( MQS ) fields 33 2.4 Conduction problems 35 2.5 Laplacian approximations 37 3 Electromagnetic Power, Energy, Stress, and Momen...
Sommario
Preface xxi
Acknowledgments xxvii
List of Figures xxix
PART I BASIC ELECTROMAGNETIC THEORY
1 Maxwell's Equations 5
1.1 Mathematical notation 5
1.2 Free-space fields and forces 6
1.3 Vector and scalar potentials 10
1.4 Inhomogeneous wave equations for E and H 12
1.5 Static fields 12
1.6 Integration of the inhomogeneous wave equation 15
1.7 Polarizable, magnetizable, and conducting media 18
1.8 Boundary conditions 24
1.9 The complex Maxwell Equations 26
2 Quasistatic Approximations 29
2.1 Quasistatic expansions of a standing wave 30
2.2 Electroquasistatic (EQS) fields 31
2.3 Magnetoquasistatic (MQS) fields 33
2.4 Conduction problems 35
2.5 Laplacian approximations 37
3 Electromagnetic Power, Energy, Stress, and Momentum 39
3.1 Introduction 39
3.2 The Maxwell-Poynting representation 41
3.3 Quasistatic power and energy 43
3.4 Alternative representations 45
3.5 Differences between representations 54
4 Electromagnetic Waves in Free-Space 61
4.1 Homogeneous waves 61
4.2 One-dimensional waves 62
4.3 Harmonic uniform plane waves 63
4.4 Waves of high symmetry 64
4.5 Inhomogeneous scalar wave equations 66
5 Electromagnetic Waves in Linear Materials 67
5.1 Introduction 67
5.2 Electrically conducting media 67
5.3 Linear dielectric and magnetic media 70
6 Electromagnetic Theorems and Principles 77
6.1 Introduction 77
6.2 Complex power and energy theorems 78
6.3 Complex stress theorems 84
6.4 Complex momentum theorems 86
6.5 Duality 88
6.6 Uniqueness theorems 94
6.7 The equivalence principle 96
6.8 The induction theorem 97
6.9 Babinet's Principle 98
6.10 The reciprocity theorem 100
PART II FOUR-DIMENSIONAL ELECTROMAGNETISM
7 Four-Dimensional Vectors and Tensors 105
7.1 Space-time coordinates 105
7.2 Four-vector electric-current density 106
7.3 Four-vector potential (Lorenz gauge) 106
7.4 Four-Laplacian (wave equation) 107
7.5 Maxwell's Equations and field tensors 107
7.6 The four-dimensional curl operator 109
7.7 Four-dimensional "statics" 110
7.8 Four-dimensional force density 112
7.9 Six-vectors and dual field tensors 113
7.10 Four-vector electric and magnetic fields 113
7.11 The field tensors and Maxwell's Equations revisited 115
7.12 Linear conductors revisited 116
8 Energy-Momentum Tensors 119
8.1 Introduction 119
8.2 Maxwell-Poynting energy-momentum tensor 121
8.3 Alternate energy-momentum tensors 121
8.4 Boundary conditions and gauge considerations 125
8.5 Electromagnetic beauty revisited 126
9 Dielectric and Magnetic Materials 129
9.1 Introduction 129
9.2 Maxwell's Equations with polarization and magnetization 130
9.3 Amperian energy-momentum tensors 131
10 Amperian, Minkowski, and Chu Formulations 141
10.1 Introduction 141
10.2 Maxwell's Equations in the Amperian formulation 141
10.3 Maxwell's Equations in the Minkowski formulation 142
10.4 Maxwell's Equations in the Chu formulation 143
10.5 Energy-momentum tensors and four-force densities 145
10.6 Discussion of force densities 148
10.7 The principle of virtual power 150
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