## Classical electrodynamicsThis edition refines and improves the first edition. It treats the present experimental limits on the mass of photon and the status of linear superposition, and introduces many other innovations. |

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Page 293

For

is the extension of (7.59) to include a static magnetic induction. It is not

completely general, since it applies only to waves

field direction. But even in this simple example we see the essential characteristic

that waves of right-handed and left-handed circular polarizations

differently. The ionosphere is birefringent. For

than parallel to the ...

For

**propagation**antiparallel to the magnetic field B0, the signs are reversed. Thisis the extension of (7.59) to include a static magnetic induction. It is not

completely general, since it applies only to waves

**propagating**along the staticfield direction. But even in this simple example we see the essential characteristic

that waves of right-handed and left-handed circular polarizations

**propagate**differently. The ionosphere is birefringent. For

**propagation**in directions otherthan parallel to the ...

Page 330

(b) Use the WKB approximation to treat the

vertically into the ionosphere (k = 0), assuming that the dielectric constant is

given by (7.59) with a plasma frequency co,(z) governed by an electron density

like that shown in Fig. 7.11. Verify that the qualitative arguments in Section 7.6

hold, with departures in detail only for iD~o)rJm. (c) Using the WKB results of (b)

and the concepts of the

effective height of the ...

(b) Use the WKB approximation to treat the

**propagation**of waves directedvertically into the ionosphere (k = 0), assuming that the dielectric constant is

given by (7.59) with a plasma frequency co,(z) governed by an electron density

like that shown in Fig. 7.11. Verify that the qualitative arguments in Section 7.6

hold, with departures in detail only for iD~o)rJm. (c) Using the WKB results of (b)

and the concepts of the

**propagation**of a pulse from Section 7.8, define aneffective height of the ...

Page 370

obstacle or aperture in the guide the fields are relatively simple, with only the

source or obstacle, however, many modes, both

must be superposed in order to describe the fields correctly. The cutoff modes

have sizable amplitudes only in the neighborhood of the source or obstacle; their

effects ...

**propagate**; the rest are cutoff or evanescent modes. Far away from any source,obstacle or aperture in the guide the fields are relatively simple, with only the

**propagating**modes (often just one) present with appreciable amplitude. Near asource or obstacle, however, many modes, both

**propagating**and evanescent,must be superposed in order to describe the fields correctly. The cutoff modes

have sizable amplitudes only in the neighborhood of the source or obstacle; their

effects ...

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### Contents

Introduction and Survey | 1 |

Introduction to Electrostatics | 27 |

BoundaryValue Problems | 54 |

Copyright | |

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### Common terms and phrases

4-vector amplitude angle angular distribution angular momentum aperture approximation assumed atomic axis behavior Bessel functions boundary conditions bremsstrahlung calculation Chapter charge density charge q charged particle classical coefficients collision components conductor consider coordinates cross section current density cylinder defined dielectric constant differential diffraction dimensions dipole direction discussed effects electric and magnetic electric field electromagnetic fields electrons electrostatic energy loss expansion expression factor finite force frequency given Green function incident integral Lagrangian limit linear Lorentz transformation macroscopic magnetic field magnetic induction magnitude Maxwell equations medium modes molecules multipole multipole expansion multipole moments nonrelativistic normal obtain oscillations parallel parameter photon Phys plane wave plasma point charge polarization problem propagation quantum quantum-mechanical radius region relativistic resonant rest frame result scalar scalar potential scattering shown in Fig solution spectrum sphere spherical surface tensor theorem transverse unit vanishes vector potential velocity wave guide wave number wavelength written zero