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| Preface | |
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| The Field Equations | |
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| Maxwell's Equations | |
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| The Field Vectors | |
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| Charge and Current | |
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| Divergence of the Field Vectors | |
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| Integral Form of the Field Equations | |
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| Macroscopic Properties of Matter | |
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| The Inductive Capacities [epsilon] and [Mu] | |
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| Electric and Magnetic Polarization | |
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| Conducting Media | |
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| Units and Dimensions | |
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| M.K.S. or Giorgi System | |
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| The Electromagnetic Potentials | |
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| Vector and Scalar Potentials | |
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| Conducting Media | |
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| Hertz Vectors, or Polarization Potentials | |
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| Complex Field Vectors and Potentials | |
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| Boundary Conditions | |
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| Discontinuities in the Field Vectors | |
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| Coordinate Systems | |
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| Unitary and Reciprocal Vectors | |
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| Differential Operators | |
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| Orthogonal Systems | |
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| Field Equations in General Orthogonal Coordinates | |
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| Properties of Some Elementary Systems | |
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| The Field Tensors | |
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| Orthogonal Transformations and Their Invariants | |
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| Elements of Tensor Analysis | |
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| Space-time Symmetry of the Field Equations | |
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| The Lorentz Transformation | |
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| Transformation of the Field Vectors to Moving Systems | |
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| Stress and Energy | |
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| Stress and Strain in Elastic Media | |
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| Elastic Stress Tensor | |
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| Analysis of Strain | |
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| Elastic Energy and the Relations of Stress to Strain | |
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| Electromagnetic Forces on Charges and Currents | |
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| Definition of the Vectors E and B | |
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| Electromagnetic Stress Tensor in Free Space | |
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| Electromagnetic Momentum | |
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| Electrostatic Energy | |
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| Electrostatic Energy as a Function of Charge Density | |
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| Electrostatic Energy as a Function of Field Intensity | |
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| A Theorem on Vector Fields | |
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| Energy of a Dielectric Body in an Electrostatic Field | |
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| Thomson's Theorem | |
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| Earnshaw's Theorem | |
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| Theorem on the Energy of Uncharged Conductors | |
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| Magnetostatic Energy | |
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| Magnetic Energy of Stationary Currents | |
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| Magnetic Energy as a Function of Field Intensity | |
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| Ferromagnetic Materials | |
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| Energy of a Magnetic Body in a Magnetostatic Field | |
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| Potential Energy of a Permanent Magnet | |
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| Energy Flow | |
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| Poynting's Theorem | |
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| Complex Poynting Vector | |
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| Forces on a Dielectric in an Electrostatic Field | |
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| Body Forces in Fluids | |
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| Body Forces in Solids | |
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| The Stress Tensor | |
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| Surfaces of Discontinuity | |
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| Electrostriction | |
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| Force on a Body Immersed in a Fluid | |
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| Forces in the Magnetostatic Field | |
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| Nonferromagnetic Materials | |
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| Ferromagnetic Materials | |
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| Forces in the Electromagnetic Field | |
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| Force on a Body Immersed in a Fluid | |
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| The Electrostatic Field | |
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| General Properties of an Electrostatic Field | |
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| Equations of Field and Potential | |
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| Boundary Conditions | |
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| Calculation of the Field from the Charge Distribution | |
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| Green's Theorem | |
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| Integration of Poisson's Equation | |
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| Behavior at Infinity | |
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| Coulomb Field | |
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| Convergence of Integrals | |
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| Expansion of the Potential in Spherical Harmonics | |
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| Axial Distributions of Charge | |
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| The Dipole | |
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| Axial Multipoles | |
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| Arbitrary Distributions of Charge | |
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| General Theory of Multipoles | |
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| Dielectric Polarization | |
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| Interpretation of the Vectors P and [Pi] | |
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| Discontinuities of Integrals Occurring in Potential Theory | |
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| Volume Distributions of Charge and Dipole Moment | |
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| Single-layer Charge Distributions | |
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| Double-layer Distributions | |
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| Interpretation of Green's Theorem | |
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| Images | |
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| Boundary-Value Problems | |
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| Formulation of Electrostatic Problems | |
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| Uniqueness of Solution | |
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| Solution of Laplace's Equation | |
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| Problem of the Sphere | |
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| Conducting Sphere in Field of a Point Charge | |
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| Dielectric Sphere in Field of a Point Charge | |
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| Sphere in a Parallel Field | |
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| Problem of the Ellipsoid | |
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| Free Charge on a Conducting Ellipsoid | |
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| Conducting Ellipsoid in a Parallel Field | |
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| Dielectric Ellipsoid in a Parallel Field | |
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| Cavity Definitions of E and D | |
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| Torque Exerted on an Ellipsoid | |
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| Problems | |
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| The Magnetostatic Field | |
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| General Properties of a Magnetostatic Field | |
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| Field Equations and the Vector Potential | |
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| Scalar Potential | |
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| Poisson's Analysis | |
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| Calculation of the Field of a Current Distribution | |
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| Biot-Savart Law | |
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| Expansion of the Vector Potential | |
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| The Magnetic Dipole | |
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| Magnetic Shells | |
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| A Digression on Units and Dimensions | |
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| Fundamental Systems | |
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| Coulomb's Law for Magnetic Matter | |
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| Magnetic Polarization | |
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| Equivalent Current Distributions | |
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| Field of Magnetized Rods and Spheres | |
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| Discontinuities of the Vectors A and B | |
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| Surface Distributions of Current | |
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| Surface Distributions of Magnetic Moment | |
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| Integration of the Equation [nabla] X [nabla] X A = [Mu]J | |
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| Vector Analogue of Green's Theorem | |
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| Application to the Vector Potential | |
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| Boundary-Value Problems | |
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| Formulation of the Magnetostatic Problem | |
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| Uniqueness of Solution | |
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| Problem of the Ellipsoid | |
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| Field of a Uniformly Magnetized Ellipsoid | |
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| Magnetic Ellipsoid in a Parallel Field | |
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| Cylinder in a Parallel Field | |
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| Calculation of the Field | |
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| Force Exerted on the Cylinder | |
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| Problems | |
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| Plane Waves in Unbounded, Isotropic Media | |
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| Propagation of Plane Waves | |
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| Equations of a One-dimensional Field | |
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| Plane Waves Harmonic in Time | |
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| Plane Waves Harmonic in Space | |
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| Polarization | |
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| Energy Flow | |
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| Impedance | |
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| General Solutions of the One-dimensional Wave Equation | |
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| Elements of Fourier Analysis | |
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| General Solution of the One-dimensional Wave Equation in a Nondissipative Medium | |
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| Dissipative Medium; Prescribed Distribution in Time | |
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| Dissipative Medium; Prescribed Distribution in Space | |
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| Discussion of a Numerical Example | |
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| Elementary Theory of the Laplace Transformation | |
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| Application of the Laplace Transformation to Maxwell's Equations | |
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| Dispersion | |
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| Dispersion in Dielectrics | |
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| Dispersion in Metals | |
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| Propagation in an Ionized Atmosphere | |
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| Velocities of Propagation | |
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| Group Velocity | |
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| Wave-front and Signal Velocities | |
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| Problems | |
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| Cylindrical Waves | |
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| Equations of a Cylindrical Field | |
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| Representation by Hertz Vectors | |
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| Scalar and Vector Potentials | |
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| Impedances of Harmonic Cylindrical Fields | |
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| Wave Functions of the Circular Cylinder | |
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| Elementary Waves | |
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| Properties of the Functions Z[subscript n]([rho]) | |
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| The Field of Circularly Cylindrical Wave Functions | |
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| Integral Representations of Wave Functions | |
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| Construction from Plane Wave Solutions | |
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| Integral Representations of the Functions Z[subscript p]([rho]) | |
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| Fourier-Bessel Integrals | |
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| Representation of a Plane Wave | |
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| The Addition Theorem for Circularly Cylindrical Waves | |
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| Wave Functions of the Elliptic Cylinder | |
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| Elementary Waves | |
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| Integral Representations | |
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| Expansion of Plane and Circular Waves | |
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| Problems | |
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| Spherical Waves | |
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| The Vector Wave Equation | |
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| A Fundamental Set of Solutions | |
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| Application to Cylindrical Coordinates | |
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| The Scalar Wave Equation in Spherical Coordinates | |
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| Elementary Spherical Waves | |
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| Properties of the Radial Functions | |
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| Addition Theorem for the Legendre Polynomials | |
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| Expansion of Plane Waves | |
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| Integral Representations | |
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| A Fourier-Bessel Integral | |
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| Expansion of a Cylindrical Wave Function | |
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| Addition Theorem for z[subscript o](kR) | |
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| The Vector Wave Equation in Spherical Coordinates | |
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| Spherical Vector Wave Functions | |
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| Integral Representations | |
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| Orthogonality | |
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| Expansion of a Vector Plane Wave | |
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| Problems | |
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| Radiation | |
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| The Inhomogeneous Scalar Wave Equation | |
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| Kirchhoff Method of Integration | |
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| Retarded Potentials | |
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| Retarded Hertz Vector | |
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| A Multipole Expansion | |
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| Definition of the Moments | |
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| Electric Dipole | |
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| Magnetic Dipole | |
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| Radiation Theory of Linear Antenna Systems | |
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| Radiation Field of a Single Linear Oscillator | |
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| Radiation Due to Traveling Waves | |
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| Suppression of Alternate Phases | |
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| Directional Arrays | |
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| Exact Calculation of the Field of a Linear Oscillator | |
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| Radiation Resistance by the E.M.F. Method | |
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| The Kirchhoff-Huygens Principle | |
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| Scalar Wave Functions | |
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| Direct Integration of the Field Equations | |
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| Discontinuous Surface Distributions | |
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| Four-Dimensional Formulation of the Radiation Problem | |
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| Integration of the Wave Equation | |
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| Field of a Moving Point Charge | |
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| Problems | |
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| Boundary-Value Problems | |
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| General Theorems | |
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| Boundary Conditions | |
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| Uniqueness of Solution | |
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| Electrodynamic Similitude | |
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| Reflection and Refraction at a Plane Surface | |
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| Snell's Laws | |
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| Fresnel's Equations | |
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| Dielectric Media | |
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| Total Reflection | |
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| Refraction in a Conducting Medium | |
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| Reflection at a Conducting Surface | |
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| Plane Sheets | |
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| Reflection and Transmission Coefficients | |
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| Application to Dielectric Media | |
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| Absorbing Layers | |
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| Surface Waves | |
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| Complex Angles of Incidence | |
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| Skin Effect | |
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| Propagation along a Circular Cylinder | |
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| Natural Modes | |
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| Conductor Embedded in a Dielectric | |
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| Further Discussion of the Principal Wave | |
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| Waves in Hollow Pipes | |
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| Coaxial Lines | |
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| Propagation Constant | |
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| Infinite Conductivity | |
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| Finite Conductivity | |
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| Oscillations of a Sphere | |
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| Natural Modes | |
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| Oscillations of a Conducting Sphere | |
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| Oscillations in a Spherical Cavity | |
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| Diffraction of a Plane Wave by a Sphere | |
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| Expansion of the Diffracted Field | |
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| Total Radiation | |
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| Limiting Cases | |
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| Effect of the Earth on the Propagation of Radio Waves | |
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| Sommerfeld Solution | |
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| Weyl Solution | |
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| van der Pol Solution | |
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| Approximation of the Integrals | |
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| Problems | |
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| Numerical Values of Fundamental Constants | |
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| Dimensions of Electromagnetic Quantities | |
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| Conversion Tables | |
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| Formulas from Vector Analysis | |
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| Conductivity of Various Materials | |
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| Specific Inductive Capacity of Dielectrics | |
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| Associated Legendre Functions | |
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| Index | |