# Classical Electromagnetic Radiation

## 2nd Edition

**Editors:**Jerry Marion

**eBook ISBN:**9780323161640

**Imprint:**Academic Press

**Published Date:**1st January 1965

**Page Count:**508

## Description

Classical 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.

## Table of Contents

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

## Details

- No. of pages:
- 508

- Language:
- English

- Copyright:
- © Academic Press 1965

- Published:
- 1st January 1965

- Imprint:
- Academic Press

- eBook ISBN:
- 9780323161640