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 15
... condition the 6°4/62° term in Laplace's equation may be neglected. PROBLEM 4. Determine the field near the end of a sharp conical point on the surface of a conductor. SOLUTION. We take spherical polar coordinates, with the origin at the ...
... condition the 6°4/62° term in Laplace's equation may be neglected. PROBLEM 4. Determine the field near the end of a sharp conical point on the surface of a conductor. SOLUTION. We take spherical polar coordinates, with the origin at the ...
Page 23
... condition at & = 0 for arbitrary n, (i.e. on the surface of the ellipsoid). Substituting (422) in Laplace's equation (4.6), we obtain for F(£) the equation d°F dF d 2 dć” +: log (R&ta )] = 0. One solution of this equation is F ...
... condition at & = 0 for arbitrary n, (i.e. on the surface of the ellipsoid). Substituting (422) in Laplace's equation (4.6), we obtain for F(£) the equation d°F dF d 2 dć” +: log (R&ta )] = 0. One solution of this equation is F ...
Page 33
... condition for this surface to be stable (Ya. I. Frenkel', 1935). SOLUTION. Let the wave be propagated along the x-axis, with the z-axis vertically upwards. The vertical displacement of points on the surface of the liquid is = ae ...
... condition for this surface to be stable (Ya. I. Frenkel', 1935). SOLUTION. Let the wave be propagated along the x-axis, with the z-axis vertically upwards. The vertical displacement of points on the surface of the liquid is = ae ...
Page 35
... condition requires the continuity of the tangential component of the field: E.1 = E.2, (6.9) cf. the derivation of the condition (1.7). The second condition follows from the equation div D = 0, and requires the continuity of the normal ...
... condition requires the continuity of the tangential component of the field: E.1 = E.2, (6.9) cf. the derivation of the condition (1.7). The second condition follows from the equation div D = 0, and requires the continuity of the normal ...
Page 36
... conditions (7.3) can be rewritten as the following conditions on the potential: ©1 = b2, } 816 p.1/ón = 826 b2/ön; the continuity of the tangential derivatives of the potential is equivalent to the continuity of q; itself. In a ...
... conditions (7.3) can be rewritten as the following conditions on the potential: ©1 = b2, } 816 p.1/ón = 826 b2/ön; the continuity of the tangential derivatives of the potential is equivalent to the continuity of q; itself. In a ...
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