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 35
... satisfied. One of these follows from the equation curl E = 0. If the surface of separation is uniform as regards physical properties: this condition requires the continuity of the tangential component of the field: E.1 = E.2, (6.9) cf ...
... satisfied. One of these follows from the equation curl E = 0. If the surface of separation is uniform as regards physical properties: this condition requires the continuity of the tangential component of the field: E.1 = E.2, (6.9) cf ...
Page 36
... satisfied, and the equation div D = div eE = 0 gives div (ê grad b) = 0. (74) This equation becomes the ordinary Laplace's equation only in a homogeneous dielectric medium. The boundary conditions (7.3) can be rewritten as the following ...
... satisfied, and the equation div D = div eE = 0 gives div (ê grad b) = 0. (74) This equation becomes the ordinary Laplace's equation only in a homogeneous dielectric medium. The boundary conditions (7.3) can be rewritten as the following ...
Page 38
... satisfy the boundary conditions on this circumference. In medium 2 we seek the field as that produced in a homogeneous medium (with E2) by a fictitious charge e" on the wire passing through O. The boundary conditions on the surface of ...
... satisfy the boundary conditions on this circumference. In medium 2 we seek the field as that produced in a homogeneous medium (with E2) by a fictitious charge e" on the wire passing through O. The boundary conditions on the surface of ...
Page 39
... satisfy the equations div (g grad b4) = -4Teó(r-rA), div (ê grad pb) = -4Teó(r-rB). Multiplying the first by p5 and the second by p.4 and subtracting, we have div (b Begradq; 4)-div (448 grad pH) = -4tteó(r – ra) pe(r) + 47teó(r-rB) p4 ...
... satisfy the equations div (g grad b4) = -4Teó(r-rA), div (ê grad pb) = -4Teó(r-rB). Multiplying the first by p5 and the second by p.4 and subtracting, we have div (b Begradq; 4)-div (448 grad pH) = -4tteó(r – ra) pe(r) + 47teó(r-rB) p4 ...
Page 40
... appear in the field potential p, inside the ellipsoid, since it does not satisfy the condition that the field must be finite everywhere inside the ellipsoid. For let us consider the surface & = – c', 40 Electrostatics of Dielectrics.
... appear in the field potential p, inside the ellipsoid, since it does not satisfy the condition that the field must be finite everywhere inside the ellipsoid. For let us consider the surface & = – c', 40 Electrostatics of Dielectrics.
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