Classical Electromagnetic Radiation
- 2nd Edition - January 1, 1965
- Imprint: Academic Press
- Editor: Jerry Marion
- Language: English
- Hardback ISBN:9 7 8 - 0 - 1 2 - 4 7 2 2 5 7 - 6
- Paperback ISBN:9 7 8 - 0 - 1 2 - 3 9 4 1 7 2 - 5
- eBook ISBN:9 7 8 - 0 - 3 2 3 - 1 6 1 6 4 - 0
Classical Electromagnetic Radiation, Second Edition focuses on the classical electrodynamics with emphasis on radiation problems and the wave attributes of the electromagnetic… Read more
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Request a sales quoteClassical Electromagnetic Radiation, Second Edition focuses on the classical electrodynamics with emphasis on radiation problems and the wave attributes of the electromagnetic field. This book aims to provide a modern and practically sophisticated mathematical treatment of classical electrodynamics at the undergraduate level. Organized into 13 chapters, this edition starts with an overview of the basic principles of electromagnetism. This text then presents a detailed discussion of Laplace's equation and a treatment of multiple effects, since such material is of considerable significance in the development of radiation theory. Other chapters consider the electromagnetic field equations, which are developed in the time-dependent form. This book discusses as well the subjects of wave propagation in space as well as in material media. The final chapter presents an introduction to relativistic electrodynamics. This book is a valuable resource for physicists, engineers, and readers who are interested in the applications of electrodynamics in modern physics.
Preface
Preface to the First Edition
Chapter 1. Fundamentals of Electromagnetics
1.1 Introduction
1.2 Units
1.3 The Field Vectors
1.4 Coulomb's Law
1.5 Dielectric Media
1.6 The Laws of Ampère and Biot-Savart
1.7 The Lorentz Force
1.8 Magnetic Materials
1.9 Summary of Equations for Static Fields
1.10 Boundary Conditions on the Field Vectors
1.11 Point Charges and the Delta Function
Suggested References
Problems
Chapter 2. Multipole Fields
2.1 Introduction
2.2 The Electric Dipole
2.3 Multipole Expansion of the Potential
2.4 The Dipole Potential
2.5 The Quadrupole Potential and the Quadrupole Moment
2.6 Further Remarks concerning Electric Multipoles
2.7 Magnetic Multipoles
Suggested References
Problems
Chapter 3. The Equations of Laplace an d Poisson
3.1 Introduction
3.2 General Properties of Harmonic Functions
3.3 Solutions of Laplace's Equation in Rectangular Coordinates
3.4 Solutions of Laplace's Equation in Spherical Coordinates
3.5 Spherical Harmonics
3.6 Solutions of Laplace's Equation in Cylindrical Coordinates
3.7 A Simple Example of Poisson's Equation - The Parallel-Plate Diode
Suggested References
Problems
Chapter 4. The Electromagnetic Field Equations
4.1 Introduction
4.2 The Conservation of Charge and the Equation of Continuity
4.3 Electromagnetic Induction
4.4 Maxwell's Modification of Ampère's Law
4.5 Maxwell's Equations
4.6 The Potential Functions of the Electromagnetic Field
4.7 Energy in the Electromagnetic Field
4.8 Uniqueness of Solution of the Field Equations
4.9 Electrostatic Energy of a System of Charges - The "Self-Energy" of an Electron
4.10 The Lagrange Function for a Charged Particle in an Electromagnetic Field
Suggested References
Problems
Chapter 5. Electromagnetic Waves
5.1 Introduction
5.2 Plane Electromagnetic Waves in Nonconducting Media
5.3 Polarization
5.4 Pointing's Theorem for Complex Field Vectors
5.5 The Field Equations in a Conducting Medium
5.6 Plane Waves in Conducting Media
5.7 Current Distribution in Conductors - The "Skin Depth"
Suggested References
Problems
Chapter 6. Reflection and Refraction
6.1 Introduction
6.2 Reflection and Transmission for Normal Incidence on a Dielectric Medium
6.3 Oblique Incidence — The Fresnel Equations
6.4 Total Internal Reflection
6.5 Reflection from a Metallic Surface - Normal Incidence
6.6 Refraction at a Metallic Surface
6.7 Propagation of Waves between Perfectly Conducting Planes
6.8 Waves in Hollow Conductors
6.9 TE and TM Waves
6.10 Rectangular Wave Guides
Suggested References
Problems
Chapter 7. The Liénard-Wiechert Potentials and Radiation
7.1 Introduction
7.2 Retarded Potentials
7.3 The Liénard-Wiechert Potentials
7.4 The Field Produced by a Moving Charged Particle
7.5 The Field Produced by a Charged Particle in Uniform Motion
7.6 Radiation from an Accelerated Charged Particle at Low Velocities
7.7 Radiation from a Charged Particle with Co-linear Velocity and Acceleration
7.8 Radiation from a Charged Particle Confined to a Circular Orbit
Suggested References
Problems
Chapter 8. Radiating Systems
8.1 Introduction
8.2 Dipole Radiation
8.3 The Hertz Vectors
8.4 The Field due to a Hertzian Dipole
8.5 The Near Field of an Oscillating Electric Dipole
8.6 The Short Dipole Antenna
8.7 Linear Antennas
8.8 Electric Quadrupole Radiation
8.9 Simple Arrays of Antennas
8.10 Magnetic Radiation
Suggested References
Problems
Chapter 9. Classical Electron Theory
9.1 Introduction
9.2 The Scattering of an Electromagnetic Wave by a Charged Particle
9.3 Dispersion in Gases
9.4 Dispersion in Liquids and Solids
9.5 Conductivity of Media Containing Free Electrons
9.6 Propagation in a Plasma—Ionospheric Propagation
9.7 The Zeeman Effect
9.8 Optical Properties of Metals
9.9 Radiation Damping
Suggested References
Problems
Chapter 10. Spherical Scalar Waves
10.1 Introduction
10.2 Spherical Waves
10.3 Expansion of a Plane Wave in Spherical Waves
10.4 Scattering of a Plane Wave
10.5 Calculation of the Cross Sections
10.6 Calculation of the Phase Shifts in the Long-Wavelength Limit for Different Boundary Conditions
10.7 The Short-Wavelength Limit of the Cross Sections
Suggested References
Problems
Chapter 11. Interference Phenomena
11.1 Introduction
11.2 Wiener's Experiment and the "Light Vector"
11.3 Coherence and Incoherence — "Almost Monochromatic" Radiation
11.4 The Intensity of Incoherent Radiation
11.5 Interference of Two Coherent Light Beams
11.6 Huygens' Construction
11.7 Two-Beam Interference—Division of Wave Fronts
11.8 Division of Amplitudes—The Michelson Interferometer
11.9 The Visibility of Interference Fringes
11.10 Multiple-Beam Interference
11.11 Resolution of Interference Fringes
Suggested References
Problems
Chapter 12. Scalar Diffraction Theory
12.1 Introduction
12.2 The Helmholtz-Kirchhoff Integral
12.3 The Kirchhoff Diffraction Theory
12.4 Babinet's Principle
12.5 Diffraction by a Circular Disk
12.6 Diffraction by a Circular Aperture
12.7 Fraunhofer Diffraction
12.8 Fraunhofer Diffraction by an Infinite Slit
12.9 Fraunhofer Diffraction by a Double Slit
12.10 Fraunhofer Diffraction by a Rectangular Aperture
12.11 Fraunhofer Diffraction by a Circular Aperture
12.12 Fresnel Diffraction by a Straight Edge - Approximate Solution
12.13 Fresnel Diffraction by a Straight Edge - Solution in Terms of Fresnel Integrals
Suggested References
Problems
Chapter 13. Relativistic Electrodynamics
13.1 Introduction
13.2 Galilean Transformations
13.3 The Lorentz Transformation
13.4 Velocity, Momentum, and Energy in Relativity
13.5 Four-Vectors in Electrodynamics
13.6 The Electromagnetic Field Tensor
13.7 Transformation Properties of the Field Tensor
13.8 Electric Field of a Point Charge in Uniform Motion
13.9 Magnetic Field due to an Infinitely Long Wire Carrying a Uniform Current
13.10 Radiation by an Accelerated Charge
13.11 Motion of a Charged Particle in an Electromagnetic Field—Lagrangian Formulation
13.12 Lagrangian Formulation of the Field Equations
13.13 The Energy-Momentum Tensor of the Electromagnetic Field
Suggested References
Problems
Appendix A. Vector and Tensor Analysis
A.1 Definition of a Vector
A.2 Vector Algebra Operations
A.3 Vector Differential Operators
A.4 Differential Operations in Curvilinear Coordinates
A.5 Integral Theorems
A.6 Definition of a Tensor
A.7 Diagonalization of a Tensor
A.8 Tensor Operations
Appendix B. Fourier Series and Integrals
B.1 Fourier Series
B.2 Fourier Integrals
Appendix C. Fundamental Constants
Appendix D. Conversion of Electric and Magnetic Units
Appendix E. Equivalence of Electric and Magnetic Quantities in the SI and Gaussian Systems
Appendix F. Invariance of the Interva xµxµ = x'µx'µ
References
Index
- Edition: 2
- Published: January 1, 1965
- Imprint: Academic Press
- No. of pages: 508
- Language: English
- Hardback ISBN: 9780124722576
- Paperback ISBN: 9780123941725
- eBook ISBN: 9780323161640
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