β Scribed by Cheng, David Keun
No coin nor oath required. For personal study only.
Back Cover Field and Wave Electromagnetics, Second Edition features many examples of practical applications to give students an excellent physical -- as well as mathematical -- understanding of important concepts. These include applications drawn from important new areas of technology such as optical fibers, radome design, satellite communication, and microstrip lines. There is also added coverage of several new topics, including Hall effect, radar equation and scattering cross section, transients in transmission lines, waveguides and circular cavity resonators, wave propagation in the ionosphere, and helical antennas. New exercises, new problems, and many worked-out examples make this complex material more accessible to students.
Cover......Page 1
Title......Page 2
Preface......Page 6
Contents......Page 10
1-1 Introduction......Page 18
1-2 The Electromagnetic Model......Page 20
1-3 SI Units and Universal Constants......Page 25
Review Questions......Page 27
2-1 Introduction......Page 28
2-2 Vector Addition and Subtraction......Page 29
2-3.1 Scalar or Dot Product......Page 31
2-3.2 Vector or Cross Product......Page 33
2-3.3 Product of Three Vectors......Page 35
2-4 Orthogonal Coordinate Systems......Page 37
2-4.1 Cartesian Coordinates......Page 40
2-4.2 Cylindrical Coordinates......Page 44
2-4.3 Spherical Coordinates......Page 48
2-5 Integrals Containing Vector Functions......Page 54
2-6 Gradient of a Scalar Field......Page 59
2-7 Divergence of a Vector Field......Page 63
2-8 Divergence Theorem......Page 67
2-9 Curl of a Vector Field......Page 71
2-10 Stokes's Theorem......Page 75
2-11.1 Identity I......Page 78
2-11.2 Identity II......Page 79
2-12 Helmholtz's Theorem......Page 80
Review Questions......Page 83
Problems......Page 84
3-1 Introduction......Page 89
3-2 Fundamental Postulates of Electrostatics in Free Space......Page 91
3-3 Coulomb's Law......Page 94
3-3.1 Electric Field Due to a System of Discrete Charges......Page 99
3-3.2 Electric Field Due to a Continuous Distributionof Charge......Page 101
3-4 Gauss's Law and Applications......Page 104
3-5 Electric Potential......Page 109
3-5.1 Electric Potential Due to a Charge Distribution......Page 111
3-6 Conductors in Static Electric Field......Page 117
3-7 Dielectrics in Static Electric Field......Page 122
3-7.1 Equivalent Charge Distributions ofPolarized Dielectrics......Page 123
3-8 Electric Flux Density and Dielectric Constant......Page 126
3-8.1 Dielectric Strength......Page 131
3-9 Boundary Conditions for Electrostatic Fields......Page 133
3-10 Capacitance and Capacitors......Page 138
3-10.1 Series and Parallel Connections of Capacitors......Page 143
3-10.2 Capacitances in Multiconductor Systems......Page 146
3-10.3 Electrostatic Shielding......Page 149
3-11 Electrostatic Energy and Forces......Page 150
3-11.1 Electrostatic Energy in Terms of Field Quantities......Page 154
3-11.2 Electrostatic Forces......Page 157
Review Questions......Page 160
Problems......Page 162
4-2 Poisson's and Laplace's Equations......Page 169
4-3 Uniqueness of Electrostatic Solutions......Page 174
4-4 Method of Images......Page 176
4-4.1 Point Charge and Conducting Planes......Page 178
4-4.2 Line Charge and Parallel Conducting Cylinder......Page 179
4-4.3 Point Charge and Conducting Sphere 170......Page 187
4-4.4 Charged Sphere and Grounded Plane......Page 189
4-5 Boundary-Value Problems in Cartesian Coordinates......Page 191
4-6 Boundary-Value Problems in Cylindrical Coordinates......Page 200
4-7 Boundary-Value Problems in Spherical Coordinates......Page 205
Review Questions......Page 209
Problems......Page 210
5-1 Introduction......Page 215
5-2 Current Density and Ohm's Law......Page 216
5-3 Electromotive Force and KirchhofT's Voltage Law......Page 222
5-4 Equation of Continuity and KirchhofT's Current Law......Page 225
5-5 Power Dissipation and Joule's Law......Page 227
5-6 Boundary Conditions for Current Density......Page 228
5-7 Resistance Calculations......Page 232
Review Questions......Page 236
Problems......Page 237
6-1 Introduction......Page 242
6-2 Fundamental Postulates of Magnetostatics in Free Space......Page 243
6-3 Vector Magnetic Potential......Page 249
6-4 The Biot-Savart Law and Applications......Page 251
6-5 The Magnetic Dipole......Page 256
6-5.1 Scalar Magnetic Potential......Page 259
6-6 Magnetization and Equivalent Current Densities......Page 260
6-6.1 Equivalent Magnetization Charge Densities......Page 264
6-7 Magnetic Field Intensity and Relative Permeability......Page 266
6-8 Magnetic Circuits......Page 268
6-9 Behavior of Magnetic Materials......Page 274
6-10 Boundary Conditions for Magnetostatic Fields......Page 279
6-11 Inductances and Inductors......Page 283
6-12 Magnetic Energy......Page 294
6-12.1 Magnetic Energy in Terms of Field Quantities......Page 296
6-13 Magnetic Forces and Torques......Page 298
6-13.1 Hall Effect......Page 299
6-13.2 Forces and Torques on Current-Carrying Conductors......Page 300
6-13.3 Forces and Torques in Terms of StoredMagnetic Energy......Page 306
6-13.4 Forces and Torques in Terms of Mutual Inductance......Page 309
Review Questions......Page 311
Problems......Page 313
7-1 Introduction......Page 324
7-2 Faraday's Law of Electromagnetic Induction......Page 325
7-2.1 A Stationary Circuit in a Time-VaryingMagnetic Field......Page 326
7-2.2 Transformers......Page 327
7-2.3 A Moving Conductor in a Static Magnetic Field......Page 331
7-2.4 A Moving Circuit in a Time-Varying Magnetic Field......Page 334
7-3 Maxwell's Equations......Page 338
7-3.1 Integral Form of Maxwell's Equations......Page 340
7-4 Potential Functions......Page 343
7-5 Electromagnetic Boundary Conditions......Page 346
7-5.1 Interface between Two Lossless Linear Media......Page 347
7-5.2 Interface between a Dielectric and aPerfect Conductor......Page 348
7-6 Wave Equations and Their Solutions......Page 349
7-6.1 Solution of Wave Equations for Potentials......Page 350
7-6.2 Source-Free Wave Equations......Page 351
7-7 Time-Harmonic Fields......Page 352
7-7.1 The Use of PhasorsβA Review......Page 353
7-7.2 Time-Harmonic Electromagnetics......Page 355
7-7.3 Source-Free Fields in Simple Media......Page 357
7-7.4 The Electromagnetic Spectrum......Page 360
Review Questions......Page 363
Problems......Page 364
8-1 Introduction......Page 371
8-2 Plane Waves in Lossless Media......Page 372
8-2.1 Doppler Effect......Page 377
8-2.2 Transverse Electromagnetic Waves......Page 378
8-2.3 Polarization of Plane Waves......Page 381
8-3 Plane Waves in Lossy Media......Page 384
8-3.1 Low-Loss Dielectrics......Page 385
8-3.2 Good Conductors......Page 386
8-3.3 Ionized Gases......Page 390
8-4 Group Velocity......Page 392
8-5 Flow of Electromagnetic Power and the Poynting Vector......Page 396
8-5.1 Instantaneous and Average Power Densities......Page 399
8-6 Normal Incidence at a Plane Conducting Boundary......Page 403
8-7.1 Perpendicular Polarization......Page 407
8-7.2 Parallel Polarization......Page 412
8-8 Normal Incidence at a Plane Dielectric Boundary......Page 414
8-9 Normal Incidence at Multiple Dielectric Interfaces......Page 418
8-9.1 Wave Impedance of the Total Field......Page 420
8-9.2 Impedance Transformation with Multiple Dielectrics......Page 421
8-10 Oblique Incidence at a Plane Dielectric Boundary......Page 423
8-10.1 Total Reflection......Page 425
8-10.2 Perpendicular Polarization......Page 428
8-10.3 Parallel Polarization......Page 431
Review Questions......Page 434
Problems......Page 436
9-1 Introduction......Page 444
9-2 Transverse Electromagnetic Wave along a Parallel-PlateTransmission Line......Page 446
9-2.1 Lossy Parallel-Plate Transmission Lines......Page 450
9-2.2 Microstrip Lines......Page 452
9-3 General Transmission-Line Equations......Page 454
9-3.1 Wave Characteristics on an InfiniteTransmission Line......Page 456
9-3.2 Transmission-Line Parameters......Page 461
9-3.3 Attenuation Constant from Power Relations......Page 464
9-4 Wave Characteristics on Finite Transmission Lines......Page 466
9-4.1 Transmission Lines as Circuit Elements......Page 471
9-4.2 Lines with Resistive Termination......Page 477
9-4.3 Lines with Arbitrary Termination......Page 482
9-4.4 Transmission-Line Circuits......Page 484
9-5 Transients on Transmission Lines......Page 488
9-5.1 Reflection Diagrams......Page 491
9-5.2 Pulse Excitation......Page 495
9-5.3 Initially Charged Line......Page 497
9-5.4 Line with Reactive Load......Page 499
9-6 The Smith Chart......Page 502
9-6.1 Smith-Chart Calculations for Lossy Lines......Page 512
9-7.1 Impedance Matching by Quarter-Wave Transformer......Page 514
9-7.2 Single-Stub Matching......Page 518
9-7.3 Double-Stub Matching......Page 522
Review Questions......Page 526
Problems......Page 529
10-1 Introduction......Page 537
10-2 General Wave Behaviors along Uniform Guiding Structures......Page 538
10-2.1 Transverse Electromagnetic Waves......Page 541
10-2.2 Transverse Magnetic Waves......Page 542
10-2.3 Transverse Electric Waves......Page 546
10-3.1 TM Waves between Parallel Plates......Page 551
10-3.2 TE Waves between Parallel Plates......Page 556
10-3.3 Energy-Transport Velocity......Page 558
10-3.4 Attenuation in Parallel-Plate Waveguides......Page 560
10-4.1 TM Waves in Rectangular Waveguides......Page 564
10-4.2 TE Waves in Rectangular Waveguides......Page 568
10-4.3 Attenuation in Rectangular Waveguides......Page 572
10-4.4 Discontinuities in Rectangular Waveguides......Page 576
10-5 Circular Waveguides......Page 579
10-5.1 Bessel's Differential Equation andBessel Functions......Page 580
10-5.2 TM Waves in Circular Waveguides......Page 584
10-5.3 TE Waves in Circular Waveguides......Page 586
10-6.1 TM Waves along a Dielectric Slab......Page 589
10-6.2 TE Waves along a Dielectric Slab......Page 593
10-6.3 Additional Comments onDielectric Waveguides......Page 596
10-7.1 Rectangular Cavity Resonators......Page 599
10-7.2 Quality Factor of Cavity Resonator......Page 603
10-7.3 Circular Cavity Resonator......Page 606
Review Questions......Page 609
Problems......Page 611
11-1 Introduction......Page 617
11-2.1 The Elemental Electric Dipole......Page 619
11-2.2 The Elemental Magnetic Dipole......Page 622
11-3 Antenna Patterns and Antenna Parameters......Page 624
11-4 Thin Linear Antennas......Page 631
11-4.1 The Half-Wave Dipole......Page 634
11-4.2 Effective Antenna Length......Page 636
11-5 Antenna Arrays......Page 638
11-5.1 Two-Element Arrays......Page 639
11-5.2 General Uniform Linear Arrays......Page 642
11-6 Receiving Antennas......Page 648
11-6.1 Internal Impedance and Directional Pattern......Page 649
11-6.2 Effective Area......Page 651
11-6.3 Backscatter Cross Section......Page 654
11-7.1 Friis Transmission Formula and Radar Equation......Page 656
11-7.2 Wave Propagation near Earth's Surface......Page 659
11-8.1 Traveling-Wave Antennas......Page 660
11-8.2 Helical Antennas......Page 662
11-8.3 Yagi-Uda Antenna......Page 665
11-8.4 Broadband Antennas......Page 667
11-9 Aperture Radiators......Page 672
References......Page 678
Review Questions......Page 679
Problems......Page 681
Appendixes......Page 686
A-2 Derived Quantities......Page 688
A-3 Multiples and Submultiples of Units......Page 690
B-2 Physical Constants of Electron and Proton......Page 691
B-4 Conductivities......Page 692
B-5 Relative Permeabilities......Page 693
C Index of Tables......Page 694
General Bibliography......Page 696
Answers to Selected Problems......Page 698
Index......Page 710
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David Cheng's Field and Wave Electromagnetics builds the electromagnetic model using an axiomatic approach in steps: first for static fields, then for magnetic fields, and finally for time-varying fields leading to Maxwell's equations.
David Chengs Field and Wave Electromagnetics builds the electromagnetic model using an axiomatic approach in steps: first for static fields, then for magnetic fields, and finally for time-varying fields leading to Maxwells equations.
Back Cover Field and Wave Electromagnetics, Second Edition features many examples of practical applications to give students an excellent physical -- as well as mathematical -- understanding of important concepts. These include applications drawn from important new areas of technology such as optica
Presents comprehensive coverage of the fundamentals of electromagnetic theory and applications. Basic laws and physical phenomena are illustrated by numerous examples.
Includes index