Preface |
The Field Equations / Chapter I: |
Maxwell's Equations |
Maxwell's Equations |
The Field Vectors / 1.1: |
Charge and Current / 1.2: |
Divergence of the Field Vectors / 1.3: |
Integral Form of the Field Equations / 1.4: |
Macroscopic Properties Of Matter |
The Inductive Capacities c and p / 1.5: |
Electric and Magnetic Polarization / 1.6: |
Macroscopic Properties of Matter / 1.7: |
Conducting Media |
Units And Dimensions |
The Inductive Capacities [epsilon] and [Mu] / 1.8: |
M.K.S. or Giorgi System |
The Electromagnetic Potentials |
Vector and Scalar Potentials / 1.9: |
Hertz Vectors, or Polarization Potentials / 1.10: |
Units and Dimensions |
Complex Field Vectors and Potentials / 1.12: |
Boundary Conditions |
Discontinuities in the Field Vectors / 1.13: |
Coordinate Systems |
Unitary and Reciprocal Vectors / 1.14: |
Differential Operators / 1.15: |
Orthogonal Systems / 1.16: |
Field Equations in General Orthogonal Coordinates / 1.17: |
Properties of Some Elementary Systems / 1.18: |
The Field Sensors |
Orthogonal Transformations and Their Invariants / 1.19: |
Elements of Tensor Analysis / 1.20: |
Space-time Symmetry of the Field Equations / 1.21: |
The Lorentz Transformation / 1.22: |
Transformation of the Field Vectors to Moving Systems / 1.23: |
Stress And Energy / Chapter II: |
Stress And Strain In Elastic Media |
Elastic Stress Tensor / 2.1: |
Analysis of Strain / 2.2: |
Elastic Energy and the Relations of Stress to Strain / 2.3: |
Electromagnetic Forces On Charges And Currents |
Definition of the Vectors E and B / 2.4: |
Electromagnetic Stress Tensor in Free Space / 2.5: |
The Field Tensors |
Electromagnetic Momentum / 2.6: |
Electrostatic Energy as a Function of Charge Density / 2.7: |
Electrostatic Energy as a Function of Field Intensity / 2.8: |
A Theorem on Vector Fields |
Energy of a Dielectric Body in an Electrostatic Field / 2.10: |
Thornson's Theorem / 2.11: |
Earnshaw's Theorem / 2.12: |
Theorem on the Energy of Uncharged Conductors / 2.13: |
Magnetostatic Energy |
Stress and Energy |
Magnetic Energy of Stationary Currents / 2.14: |
Stress and Strain in Elastic Media |
Magnetic Energy as a Function of Field Intensity / 2.15: |
Ferromagnetic Materials / 2.16: |
Energy of a Magnetic Body in a Magnetostatic Field / 2.17: |
Potential Energy of a Permanent Magnet / 2.18: |
Energy Flow |
Poynting's Theorem / 2.19: |
Electromagnetic Forces on Charges and Currents |
Complex Poynting Vector / 2.20: |
Forces On A Dielectric In An Electrostatic Field |
Body Forces in Fluids / 2.21: |
Body Forces in Solids / 2.22: |
The Stress Tensor / 2.23: |
Surfaces of Discontinuity / 2.24: |
Electrostatic Energy |
Electrostriction / 2.25: |
Force on a Body Immersed in a Fluid / 2.26: |
Forces In The Magnetostatic Field |
Nonferromagnetic Materials / 2.27: |
Forces In The Electromagnetic Field / 2.9: |
The Electrostatic Field / 2.29: |
Thomson's Theorem / 3.1: |
Equations of Field and Potential |
Earnshaw's Theorem / 3.2: |
Calculation Of The Field From The Charge Distribution |
Green's Theorem / 3.3: |
Integration of Poisson's Equation / 3.4: |
Behavior at Infinity / 3.5: |
Coulomb Field / 3.6: |
Convergence of Integrals / 3.7: |
Expansion Of The Potential In Spherical Harmonics |
Axial Distributions of Charge / 3.8: |
The Dipole / 3.9: |
Axial Multipoles / 3.10: |
Arbitrary Distributions of Charge / 3.11: |
General Theory of Multipoles / 3.12: |
Dielectric Polarization |
Interpretation of the Vectors P and IT / 3.13: |
Poynting's Theorem |
Volume Distributions of Charge and Dipole Moment / 3.14: |
Single-layer Charge Distributions / 3.15: |
Forces on a Dielectric in an Electrostatic Field / 3.16: |
Double-layer Distributions |
Interpretation of Green's Theorem / 3.17: |
Images / 3.18: |
Boundary-Value Problems |
Formulation of Electrostatic Problems / 3.19: |
Uniqueness of Solution / 3.20: |
Solution of Laplace's Equation / 3.21: |
Problem Of The Sphere |
Conducting Sphere in Field of a Point Charge / 3.22: |
Dielectric Sphere in Field of a Point Charge / 3.23: |
Sphere in a Parallel Field / 3.24: |
Forces in the Magnetostatic Field / 3.25: |
Free Charge on a Conducting Ellipsoid |
Conducting Ellipsoid in a Parallel Field / 3.26: |
Dielectric Ellipsoid in a Parallel Field / 3.27: |
Cavity Definitions of E and D / 3.28: |
Forces in the Electromagnetic Field / 3.29: |
Torque Exerted on an Ellipsoid |
The Magnetostatic Field / Chapter IV: |
General Properties Of A Magnetostatfic Field |
Field Equations and the Vector Potential / 4.1: |
General Properties of an Electrostatic Field / 4.2: |
Scalar Potential |
Poisson's Analysis / 4.3: |
Calculation Of The Field Of A Current Distribution |
Biot-Savart Law / 4.4: |
Expansion of the Vector Potential / 4.5: |
Calculation of the Field from the Charge Distribution |
The Magnetic Dipole / 4.6: |
Green's Theorem / 4.7: |
Magnetic Shells |
A Digression On Units And Dimensions |
Integration of Poisson's Equation / 4.8: |
Fundamental Systems |
Coulomb's Law for Magnetic Matter / 4.9: |
Magnetic Polarization |
Equivalent Current Distributions / 4.10: |
Field of hfagnetized Rods and Spheres / 4.11: |
Discontinuities Of The Vectors A And B |
Surface Distributions of Current / 4.12: |
Expansion of the Potential in Spherical Harmonics |
Surface Distributions of Magnetic Moment / 4.13: |
Integration Of The Equation |
Vector Analogue of Green's Theorem / 4.14: |
Application to the Vector Potential / 4.15: |
Formulation of the Magnetostatic Problem / 4.16: |
Problem Of The Ellipsoid / 4.17: |
Field of a Uniformly Magnetized Ellipsoid / 4.18: |
Magnetic Ellipsoid in a Parallel Field / 4.19: |
Cylinder In A Parallel Field |
Calculation of the Field / 4.20: |
Interpretation of the Vectors P and [Pi] |
Force Exerted on the Cylinder / 4.21: |
Discontinuities of Integrals Occurring in Potential Theory |
Problems |
Plane Waves In Unbounded Isotropic Media / Chapter V: |
Propagation Of Plane Waves |
Equations of a One-dimensional Field / 5.1: |
Plane Waves Harmonic in Time / 5.2: |
Plane Waves Harmonic in Space / 5.3: |
Polarization / 5.4: |
Interpretation of Green's Theorem |
Impedance / 5.5: |
General Solutions Of The One-Dimension Wave Equation |
Elements of Fourier Analysis / 5.7: |
General Solution of the One-dimensional Wave Equation in a Nondissipative Medium / 5.8: |
Dissipative Medium; Prescribed Distribution in Time / 5.9: |
Dissipative Medium; Prescribed Distribution in Space / 5.10: |
Solution of Laplace's Equation / 5.11: |
Discussion of a Numerical Example |
Problem of the Sphere / 5.12: |
Elementary Theory of the Laplace Transformation |
Application of the Laplace Transformation to Maxwell's Equations.18 / 5.13: |
Dispersion |
Dispersion in Dielectrics / 5.14: |
Dispersion in Metals / 5.15: |
Propagation in an Ionized Atmosphere / 5.16: |
Velocities Of Propagation |
Problem of the Ellipsoid |
Group Velocity / 5.17: |
Wave-front and Signal Velocities / 5.18: |
Cylindrical Waves / Chapter VI: |
Equations Of A Cylindrical Fie Ld |
Representation by Hertz Vectors / 6.1: |
Scalar and Vector Potentials / 6.2: |
Impedances of Harmonic Cylindrical Fields / 6.3: |
Wave Functions Of The Circular Cylinder |
Elementary Waves / 6.4: |
General Properties of a Magnetostatic Field / 6.5: |
The Field of Circularly Cylindrical Wave Functions |
Construction from Plane Wave Solutions / 6.7: |
Fourier-Bessel Integrals / 6.8: |
Poisson's Analysis / 6.10: |
Representation of a Plane Wave |
Calculation of the Field of a Current Distribution / 6.11: |
The Addition Theorem for Circularly Cylindrical Waves |
Wave Functions Of The Elliptic Cylinder |
Integral Representations / 6.12: |
Expansion of Plane and Circular Waves / 6.14: |
Spherical Waves / Chapter VII: |
The Vector Wave Equation |
A Fundamental Set of Solutions / 7.1: |
A Digression on Units and Dimensions |
Application to Cylindrical Coordinates / 7.2: |
The Scalar Wave Equation In Spherical Coordinates |
Elementary Spherical Waves / 7.3: |
Coulomb's Law for Magnetic Matter / 7.4: |
Properties of the Radial Functions |
Addition Theorem for the Legendre Polynomials / 7.5: |
Expansion of Plane Waves / 7.6: |
Field of Magnetized Rods and Spheres / 7.7: |
A Fourier-Bessel Integral |
Discontinuities of the Vectors A and B / 7.9: |
Expansion of a Cylindrical Wave Function |
The Vector Wave Equation In Sphericacl Coordinates / 7.10: |
Spherical Vector Wave Functions / 7.11: |
Integration of the Equation [nabla] X [nabla] X A = [Mu]J / 7.12: |
Orthogonality / 7.13: |
Vector Analogue of Green's Theorem |
Expansion of a Vector Plane Wave / 7.14: |
Radiation / Chapter VIII: |
The Inhomogeneous Solar Wave Equation |
Kirchhoff Method of Integration / 8.1: |
Retarded Potentials / 8.2: |
Retarded Hertz Vector / 8.3: |
A Multipole Expansion |
Definition of the Moments / 8.4: |
Electric Dipole / 8.5: |
Magnetic Dipole / 8.6: |
Radiation Theory Of Linear Antenna Systems |
Cylinder in a Parallel Field / 8.7: |
Radiation Field of a Single Linear Oscillator |
Radiation Due to Traveling Waves / 8.8: |
Suppression of Alternate Phases / 8.9: |
Directional Arrays / 8.10: |
Exact Calculation of the Field of a Linear Oscillator / 8.11: |
Plane Waves in Unbounded, Isotropic Media / 8.12: |
Radiation Resistance by the E.M.F. Method |
The Kirchhoff-Huygens Principle |
Propagation of Plane Waves |
Scalar Wave Functions / 8.13: |
Direct Integration of the Field Equations / 8.14: |
Discontinuous Surface Distributions / 8.15: |
Four-Dimensional Formulation Of The Radiation Problem |
Integration of the Wave Equation / 8.16: |
Field of a Moving Point Charge / 8.17: |
General Theorems / Chapter IX: |
General Solutions of the One-dimensional Wave Equation / 9.1: |
Electrodynamic Similitude |
Reflection And Refraction At A Plane Surface |
Snell's Laws / 9.4: |
Fresnel's Equations / 9.5: |
Dielectric Media / 9.6: |
Total Reflection / 9.7: |
Refraction in a Conducting Medium / 9.8: |
Reflection at a Conducting Surface / 9.9: |
Plane Sheets |
Reflection and Transmission Coefficients / 9.10: |
Application to Dielectric Media / 9.11: |
Ahsorbing Layers / 9.12: |
Application of the Laplace Transformation to Maxwell's Equations |
Surface Waves |
Complex Angles of Incidence / 9.13: |
Skin Effect / 9.14: |
Propagation Along A Circular Cylinder |
Natural Modes / 9.15: |
Conductor Ernbeded in a Dielectric / 9.16: |
Further Discussion of the Principal Wave / 9.17: |
Velocities of Propagation / 9.18: |
Waves in Hollow Pipes |
Coaxia Lines |
Propagation Constant / 9.19: |
Infinite Conductivity / 9.20: |
Finite Conductivity / 9.21: |
Oscillations Of A Sphere |
Equations of a Cylindrical Field / 9.22: |
Oscillations of a Conducting Sphere |
Oscillations in a Spherical Cavity / 9.24: |
Diffraction Of A Plane Wave By A Sphere |
Expansion of the Diffracted Field / 9.25: |
Total Radiation / 9.26: |
Limiting Cases / 9.27: |
Effect Of The Earth On The Propagation Of Radio Waves |
Wave Functions of the Circular Cylinder |
Sommerfeld Solution / 9.28: |
Weyl Solution / 9.29: |
van der Pol Solution / 9.30: |
Properties of the Functions Z[subscript n]([rho]) |
Approximation of the Integrals / 9.31: |
Integral Representations of Wave Functions / Appendix I: |
Numerical Values Of Fundamental Constants |
Dimensions Of Electromagnetic Quantities / B: |
Conversion Tables / C: |
Integral Representations of the Functions Z[subscript p]([rho]) / Appendix II: |
Formulas From Vector Analysis |
Conductivity Of Various Materials / Appendix III: |
Specific Inductive Capacity Of Dielectrics |
Associated Legendre Functions / Appendix IV: |
Index |
Wave Functions of the Elliptic Cylinder |
The Scalar Wave Equation in Spherical Coordinates |
Addition Theorem for z[subscript o](kR) |
The Vector Wave Equation in Spherical Coordinates |
The Inhomogeneous Scalar Wave Equation |
Radiation Theory of Linear Antenna Systems |
Four-Dimensional Formulation of the Radiation Problem |
Reflection and Refraction at a Plane Surface |
Snell's Laws |
Fresnel's Equations |
Absorbing Layers |
Propagation along a Circular Cylinder |
Conductor Embedded in a Dielectric |
Coaxial Lines |
Oscillations of a Sphere |
Diffraction of a Plane Wave by a Sphere |
Effect of the Earth on the Propagation of Radio Waves |
Numerical Values of Fundamental Constants |
Dimensions of Electromagnetic Quantities |
Formulas from Vector Analysis |
Conductivity of Various Materials |
Specific Inductive Capacity of Dielectrics |