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PREFACE

CHAPTER I THE FIELD THEORY OF ELECTROMAGNETISM

_ Introduction

_ 1. The Force on a Charge

_ 2. The Field of a Distribution of Static Point Charges

_ 3. The Potentials

_ 4. Electric Images

___ Problems

CHAPTER II ELECTROSTATICS

_ Introduction

_ 1. Gauss's Theorem

_ 2. Capacity of Condensers

_ 3. Poisson's Equation and Laplace's Equation

_ 4. "Green's Theorem, and the Solution of Poisson's Equation in an Unbounded Region"

_ 5. Direct Solution of Poisson's Equation

___ Problems

CHAPTER III SOLUTIONS OF LAPLACE'S EQUATION

_ Introduction

_ 1. Solution of Laplace's Equation in Rectangular Coordinates by Separation of variables

_ 2. Laplace's Equation in Spherical Coordinates

_ 3. Spherical Harmonics

_ 4. Simple Solutions of Laplace's Equation in Spherical Coordinates

_ 5. The Dipole and the Double Layer

_ 6. Green's Solution for a Bounded Region

___ Problems

CHAPTER IV DIELECTRICS

_ Introduction

_ 1. The Polarization and the Displacement

_ 2. The Dielectric Constant

_ 3. Boundary Conditions at the Surface of a Dielectric

_ 4. "Electrostatic Problems Involving Dielectrics, and the Condenser"

_ 5. A Charge outside a Semi-infinite Dielectric Slab

_ 6. Dielectric Sphere in a Uniform Field

_ 7. Field in Flat and Needle-shaped Cavities

___ Problems

CHAPTER V MAGNETIC FIELDS OF CURRENTS

_ Introduction

_ 1. The Biot-Savart Law

_ 2. The Magnetic Field of a Linear and a Circular Current

_ 3. "The Divergence of B, and the Scalar Potential"

_ 4. The Magentic Dipole

_ 5. Ampère's Law

_ 6. The Vector Potential

___ Problems

CHAPTER VI MAGNETIC MATERIALS

_ Introduction

_ 1. The Magnetization Vector

_ 2. The Magnetic Field

_ 3. Magnetostatic Problems Involving Magnetic Media

_ 4. Uniformly Magnetized Sphere in an External Field

_ 5. Magnetomotive Force

___ Problems

CHAPTER VII ELECTROMAGNETIC INDUCTION AND MAXWELL'S EQUATIONS

_ Introduction

_ 1. The Law of Electromagnetic Induction

_ 2. Self- and Mutual Induction

_ 3. The Displacement Current

_ 4. Maxwell's Equations

_ 5. The Vector and Scalar Potentials

___ Problems

CHAPTER VIII ELETROMAGNETIC WAVES AND ENERGY FLOW

_ Introduction

_ 1. Plane Waves and Maxwell's Equations

_ 2. The Relation between E and H in a Plane Wave

_ 3. Electric and Magnetic Energy Density

_ 4. Poynting's Theorem and Poynting's Vector

_ 5. Power Flow and Sinusoidal Time Variation

_ 6. Power Flow and Energy Density in a Plane Wave

___ Problems

CHAPTER IX ELECTRON THEORY AND DISPERSION

_ Introduction

_ 1. Dispersion in Gases

_ 2. Dispersion in Liquids and Solids

_ 3. Dispersion in Metals

_ 4. The Quantum Theory and Dispersion

___ Problems

CHAPTER X REFLECTION AND REFRACTION OF ELECTROMAGNETIC WAVES

_ Introduction

_ 1. Boundary Conditions at a Surface of Discontinuity

_ 2. The Laws of Reflection and Refraction

_ 3. Reflection Coefficient at Normal Incidence

_ 4. Fresnel's Equation

_ 5. Total Reflection

_ 6. "Damped Plane Waves, Normal Incidence"

_ 7. "Damped Plane Waves, Oblique Incidence"

___ Problems

CHAPTER XI WAVE GUIDES AND CAVITY RESONATORS

_ Introduction

_ 1. Propagation between Two Parallel Mirrors

_ 2. Electromagnetic Field in the Wave Guide

_ 3. Examples of Wave Guides

_ 4. Standing Waves in Wave Guides

_ 5. Resonant Cavities

___ Problems

CHAPTER XII SPHERICAL ELECTROMAGNETIC WAVES

_ Introduction

_ 1. Maxwell's Equations in Spherical Coordinates

_ 2. Solutions of Maxwell's Equations in Spherical Coordinates

_ 3. The Field of an Oscillating Dipole

_ 4. The Field of a Dipole at Large Distances

_ 5. Scattering of Light

_ 6. Coherence and Incoherence of Light

___ Problems

CHAPTER XIII HUYGENS' PRINCIPLE AND GREEN'S THEOREM

_ Introduction

_ 1. The Retarded Potentials

_ 2. Mathematical Formulation of Huygens' Principle

_ 3. Integration for a Spherical Surface by Fresnel's Zones

_ 4. Huygens' Principle for Diffraction Problems

___ Problems

CHAPTER XIV FRESNEL AND FRAUNHOFER DIFFRACTION

_ Introduction

_ 1. Comparison of Fresnel and Fraunhofer Diffraction

_ 2. Fresnel Diffraction from a Slit

_ 3. Fraunhofer Diffraction from a Slit

_ 4. "The Circular Aperture, and the Resolving Power of a Lens"

_ 5. Diffraction from Several Slits; the Diffraction Grating

___ Problems

APPENDIX I

_ Vectors

___ Vectors and Their Components

___ Scalar and Vector Products of Two Vectors

___ The Differentiation of Vectors

___ The Divergence Theorem and Stoke's Theorem

___ Problems

APPENDIX II

_ Units

APPENDIX III

_ Fourier Series

___ Problems

APPENDIX IV

_ Vector Operations in Curvilinear Coordinates

___ Gradient

___ Divergence

___ Laplacian

___ Curl

APPENDIX V

_ Spherical Harmonics

APPENDIX VI

_ Multipoles

APPENDIX VII

_ Bessel's Functions

SUGGESTED REFERENCES

INDEX

Library of Congress subject headings for this publication:

Electromagnetism.