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 19
... ellipsoid The problem of the field of a charged conducting ellipsoid and that of an ellipsoid in a uniform external field are solved by the use of ellipsoidal coordinates . These are related to Cartesian coordinates by the equation x2 ...
... ellipsoid The problem of the field of a charged conducting ellipsoid and that of an ellipsoid in a uniform external field are solved by the use of ellipsoidal coordinates . These are related to Cartesian coordinates by the equation x2 ...
Page 23
... ellipsoid ) is , in ellipsoidal coordinates , = - Ex Фо - = -- - - Œ √✓ [ ( § + a2 ) ( n + a2 ) ( 5 + a2 ) / ( b2 — a2 ) ( c2 — a2 ) ] . ( 4.21 ) We write the field potential outside the ellipsoid as Po + ' , where o ' gives the ...
... ellipsoid ) is , in ellipsoidal coordinates , = - Ex Фо - = -- - - Œ √✓ [ ( § + a2 ) ( n + a2 ) ( 5 + a2 ) / ( b2 — a2 ) ( c2 — a2 ) ] . ( 4.21 ) We write the field potential outside the ellipsoid as Po + ' , where o ' gives the ...
Page 41
... ellipsoid . For → c2 , the integral ( 4.23 ) behaves as√√ ( + c2 ) . The field , i.e. the potential gradient , therefore behaves as 1 / √√ ( + c2 ) , and becomes infinite at = c2 . Thus the only ... ellipsoid §8 A dielectric ellipsoid.
... ellipsoid . For → c2 , the integral ( 4.23 ) behaves as√√ ( + c2 ) . The field , i.e. the potential gradient , therefore behaves as 1 / √√ ( + c2 ) , and becomes infinite at = c2 . Thus the only ... ellipsoid §8 A dielectric ellipsoid.
Contents
ELECTROSTATICS OF CONDUCTORS | 1 |
2 The energy of the electrostatic field of conductors | 7 |
4 A conducting ellipsoid | 27 |
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angle anisotropy anisotropy energy antiferromagnetic atoms averaging axes axis body boundary conditions calculation charge coefficient components conductor constant coordinates corresponding cross-section crystal Curie point curl H denote depends derivative determined dielectric diffraction direction discontinuity dispersion E₁ E₂ electric field electromagnetic electrons ellipsoid expression external field factor ferroelectric ferromagnet field H fluctuations fluid flux formula free energy frequency function given gives grad H₁ H₂ Hence incident induction integral isotropic Laplace's equation linear magnetic field magnetic moment Maxwell's equations medium normal obtain optical particle permittivity perpendicular perturbation phase plane polarization PROBLEM propagated properties pyroelectric quantities refraction relation respect result rotation satisfied scattering sin² SOLUTION sphere suffixes superconducting surface symmetry temperature tensor theory thermodynamic potential transition uniaxial values variable velocity volume wave vector z-axis zero Απ