Electrodynamics of Continuous Media: Volume 8Covers the theory of electromagnetic fields in matter, and the theory of 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. |
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Page 10
... Laplace's equation with respect to a certain transformation of the variables . In spherical polar coordinates Laplace's equation has the form д дф 1 2 ar 13 ( 100 ) + 2 = 0 . ΔΩΦ where An denotes the angular part of the Laplacian ...
... Laplace's equation with respect to a certain transformation of the variables . In spherical polar coordinates Laplace's equation has the form д дф 1 2 ar 13 ( 100 ) + 2 = 0 . ΔΩΦ where An denotes the angular part of the Laplacian ...
Page 14
... Laplace's equation which vanishes at infinity is · constant × E · grad ( 1 / r ) = constant × E · r / r3 , Φι == the origin being taken at the centre of the sphere . On the surface of the sphere must be constant , and so the constant in ...
... Laplace's equation which vanishes at infinity is · constant × E · grad ( 1 / r ) = constant × E · r / r3 , Φι == the origin being taken at the centre of the sphere . On the surface of the sphere must be constant , and so the constant in ...
Page 89
... Laplace's equation having no poles in or on the sphere . It is evident from symmetry that , like , is a function of the spherical polar coordinates r and 0 only . On the surface of the sphere ( r = on : a ) we must have dø / ar 0 ...
... Laplace's equation having no poles in or on the sphere . It is evident from symmetry that , like , is a function of the spherical polar coordinates r and 0 only . On the surface of the sphere ( r = on : a ) we must have dø / ar 0 ...
Contents
ELECTROSTATICS OF CONDUCTORS | 1 |
2 The energy of the electrostatic field of conductors | 7 |
3 Methods of solving problems in electrostatics | 17 |
Copyright | |
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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 equation expression external field 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 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