Electrodynamics of Continuous MediaCovers the theory of electromagnetic fields in matter, and the theory of the macroscopic electric and magnetic properties of matter. There is a considerable amount of new material particularly on the theory of the magnetic properties of matter and the theory of optical phenomena with new chapters on spatial dispersion and non-linear optics. The chapters on ferromagnetism and antiferromagnetism and on magnetohydrodynamics have been substantially enlarged and eight other chapters have additional sections. |
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Page 17
... becomes the half-plane shown by the dashed line in Fig. 6, which is perpendicular to the radius AO of the cap and passes through the point B on its rim. A. FIG. 6 The angle y = t –6, where §3 Methods of solving problems in electrostatics ...
... becomes the half-plane shown by the dashed line in Fig. 6, which is perpendicular to the radius AO of the cap and passes through the point B on its rim. A. FIG. 6 The angle y = t –6, where §3 Methods of solving problems in electrostatics ...
Page 20
... become equal, the system of ellipsoidal coordinates degenerates. Let a = b > c. Then the cubic equation (4.1) becomes a quadratic, 2 2 "... = 1, p” = x* + y”, (4.7) with two roots whose values lie in the ranges & = – c', – c' > n > – a ...
... become equal, the system of ellipsoidal coordinates degenerates. Let a = b > c. Then the cubic equation (4.1) becomes a quadratic, 2 2 "... = 1, p” = x* + y”, (4.7) with two roots whose values lie in the ranges & = – c', – c' > n > – a ...
Page 21
... a function of & only, all the ellipsoidal surfaces & = constant, and in particular the surface of the conductor, will be equipotential surfaces. Laplace's equation (4.6) then becomes d (, d45) #(#) = $4 A conducting ellipsoid 21.
... a function of & only, all the ellipsoidal surfaces & = constant, and in particular the surface of the conductor, will be equipotential surfaces. Laplace's equation (4.6) then becomes d (, d45) #(#) = $4 A conducting ellipsoid 21.
Page 22
... becomes d (, d45) #(#) = 0, OC) *-*. & whence d: R. The upper limit of integration is taken so that the field is zero at infinity. The constant A is most simply determined from the condition that at large distances r the field must become ...
... becomes d (, d45) #(#) = 0, OC) *-*. & whence d: R. The upper limit of integration is taken so that the field is zero at infinity. The constant A is most simply determined from the condition that at large distances r the field must become ...
Page 36
... become E.1 = E.2, 81E,1 = 82E,2. (7.3) Thus the normal component of the field is discontinuous, changing in inverse ... becomes the ordinary Laplace's equation only in a homogeneous dielectric medium. The boundary conditions (7.3) can ...
... become E.1 = E.2, 81E,1 = 82E,2. (7.3) Thus the normal component of the field is discontinuous, changing in inverse ... becomes the ordinary Laplace's equation only in a homogeneous dielectric medium. The boundary conditions (7.3) can ...
Contents
1 | |
34 | |
CHAPTER III STEADY CURRENT | 86 |
CHAPTER IV STATIC MAGNETIC FIELD | 105 |
CHAPTER V FERROMAGNETISM AND ANTIFERROMAGNETISM | 130 |
CHAPTER VI SUPERCONDUCTIVITY | 180 |
CHAPTER VII QUASISTATIC ELECTROMAGNETIC FIELD | 199 |
CHAPTER VIII MAGNETOHYDRODYNAMICS | 225 |
CHAPTER XI ELECTROMAGNETIC WAVES IN ANISOTROPIC MEDIA | 331 |
CHAPTER XII SPATIAL DISPERSION | 358 |
CHAPTER XIII NONLINEAR OPTICS | 372 |
CHAPTER XIV THE PASSAGE OF FAST PARTICLES THROUGH MATTER | 394 |
CHAPTER XV SCATTERING OF ELECTROMAGNETIC WAVES | 413 |
CHAPTER XVI DIFFRACTION OF XRAYS IN CRYSTALS | 439 |
CURVILINEAR COORDINATES | 452 |
INDEX | 455 |
CHAPTER IX THE ELECTROMAGNETIC WAVE EQUATIONS | 257 |
CHAPTER X THE PROPAGATION OF ELECTROMAGNETIC WAVES | 290 |
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Electrodynamics of Continuous Media: Volume 8 L D Landau,E.M. Lifshitz,L. P. Pitaevskii Snippet view - 1995 |
Common terms and phrases
According angle anisotropy assumed averaging axes axis becomes body boundary conditions calculation called charge coefficient compared components condition conducting conductor consider constant continuous coordinates corresponding crystal curl denote density depends derivative determined dielectric direction discontinuity distance distribution effect electric field ellipsoid energy equal equation expression external factor ferromagnet fluid flux follows force formula frequency function given gives grad Hence incident increases independent induction integral linear magnetic field mean medium neglected normal obtain occur parallel particle particular permittivity perpendicular phase plane polarization positive potential present PROBLEM propagated properties quantities range regarded region relation respect result rotation satisfied scattering simply solution sphere Substituting surface symmetry taken temperature tensor theory thermodynamic transition uniform unit values variable vector volume wave write zero