## Classical electrodynamics |

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Results 1-3 of 76

Page 203

By combining the two curl equations and making use of the vanishing

divergences, we find easily that each cartesian component of E and B satisfies

the

dimensions of velocity characteristic of the medium. The

the well-known plane-wave solutions: u = e*.*-ia>t (7.4) where the frequency a>

and the magnitude of the wave vector k are related by (7.5) If we consider waves

propagating ...

By combining the two curl equations and making use of the vanishing

divergences, we find easily that each cartesian component of E and B satisfies

the

**wave equation**: V2u-i2^ = 0 (7.2) i? dt2 where v = -£= (7.3) is a constant of thedimensions of velocity characteristic of the medium. The

**wave equation**(7.2) hasthe well-known plane-wave solutions: u = e*.*-ia>t (7.4) where the frequency a>

and the magnitude of the wave vector k are related by (7.5) If we consider waves

propagating ...

Page 538

These vector spherical waves are convenient for electromagnetic boundary-

value problems possessing spherical symmetry properties and for the discussion

of multipole radiation from a localized source distribution. In Chapter 9 we have

already considered the simplest radiating multipole systems. In the present

chapter we present a systematic development. 16.1 Basic Spherical Wave

Solutions of the Scalar

problem, we ...

These vector spherical waves are convenient for electromagnetic boundary-

value problems possessing spherical symmetry properties and for the discussion

of multipole radiation from a localized source distribution. In Chapter 9 we have

already considered the simplest radiating multipole systems. In the present

chapter we present a systematic development. 16.1 Basic Spherical Wave

Solutions of the Scalar

**Wave Equation**As a prelude to the vector spherical waveproblem, we ...

Page 631

Gauge transformations, for magneto- statics, 140 for time-varying fields, 181

Gaussian units, see Units Gauss's law, applied to surface-charge distribution, 9

differential form of, 6 integral form of, 4 Gradient, in spherical vector form, 544 of

electric field and quadrupole interaction, 101, 128 of magnetic induction and

force on dipole, 149 of magnetic induction, particle drift in, 416 Green's first

identity, 14 Green's function for time-dependent

185, 269 Green's ...

Gauge transformations, for magneto- statics, 140 for time-varying fields, 181

Gaussian units, see Units Gauss's law, applied to surface-charge distribution, 9

differential form of, 6 integral form of, 4 Gradient, in spherical vector form, 544 of

electric field and quadrupole interaction, 101, 128 of magnetic induction and

force on dipole, 149 of magnetic induction, particle drift in, 416 Green's first

identity, 14 Green's function for time-dependent

**wave equation**, 183 retarded,185, 269 Green's ...

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### Contents

Introduction to Electrostatics | 1 |

Scalar potential | 7 |

Greens theorem | 14 |

Copyright | |

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### Common terms and phrases

4-vector acceleration angular distribution approximation assumed atomic average axis behavior Bessel functions boundary conditions bremsstrahlung calculate Chapter charge density charge q charged particle classical coefficients collisions component conductor Consequently consider coordinates cross section current density cylinder defined delta function dielectric constant diffraction dimensions dipole direction discussed effects electric field electromagnetic fields electron electrostatic emitted energy loss expansion expression factor force equation frequency given Green's function impact parameter incident particle inside integral Laplace's equation limit linear Lorentz invariant Lorentz transformation macroscopic magnetic field magnetic induction magnitude Maxwell's equations meson molecules momentum multipole multipole expansion nonrelativistic obtain orbit oscillations parallel perpendicular photon plane wave plasma point charge polarization power radiated problem quantum quantum-mechanical radiative radius region relativistic result scalar scattering shown in Fig shows solid angle solution spectrum spherical surface theorem transverse vanishes vector potential wave equation wave number wavelength written zero