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Page 151
... vector potential due to all currents is a = 1 J ( x ' ) d3x ' 1 [ Ja ( x ' ) d3x ' + cJ x - x'l | x cJ Ix - x ' ( 5.74 ) We use a small a for the microscopic vector potential , just as we used € for the microscopic electric field in ...
... vector potential due to all currents is a = 1 J ( x ' ) d3x ' 1 [ Ja ( x ' ) d3x ' + cJ x - x'l | x cJ Ix - x ' ( 5.74 ) We use a small a for the microscopic vector potential , just as we used € for the microscopic electric field in ...
Page 152
... vector potential as 1 ( J ( x ' ) + cv ' × M ( x ' ) d3x ' A ( x ) = ! ƒ ̃3x ' ) - | x − x ' | ( 5.80 ) We see that the magnetization contributes to the vector potential as an effective current density JM : JM = c ( V x M ) ( 5.81 ) ...
... vector potential as 1 ( J ( x ' ) + cv ' × M ( x ' ) d3x ' A ( x ) = ! ƒ ̃3x ' ) - | x − x ' | ( 5.80 ) We see that the magnetization contributes to the vector potential as an effective current density JM : JM = c ( V x M ) ( 5.81 ) ...
Page 270
... vector potential . In this region it is sufficient to approximate │x - x ' ~ r - n.x ' ( 9.7 ) where n is a unit vector in the direction of x . Furthermore , if only the leading term in kr is desired , the inverse distance in ( 9.3 ) ...
... vector potential . In this region it is sufficient to approximate │x - x ' ~ r - n.x ' ( 9.7 ) where n is a unit vector in the direction of x . Furthermore , if only the leading term in kr is desired , the inverse distance in ( 9.3 ) ...
Contents
1 | 1 |
BoundaryValue Problems in Electrostatics I | 26 |
Dielectrics | 98 |
Copyright | |
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4-vector Ampère's law angle angular distribution antenna approximation atomic axis B₁ Babinet's principle behavior boundary conditions calculate cavity Chapter charged particle coefficients collisions component conducting conductor consider constant coordinate cross section cylinder d³x dielectric diffraction dimensions dipole direction discussed E₁ electric field electromagnetic fields electrons electrostatic energy loss factor force equation frequency given Green's function impact parameter incident particle integral Kirchhoff Lagrangian Laplace's equation Lorentz force Lorentz invariant Lorentz transformation m₁ magnetic field magnetic induction magnitude Maxwell's equations meson modes momentum multipole nonrelativistic obtain oscillations P₁ parallel perpendicular phase velocity plane wave plasma polarization power radiated Poynting's vector problem propagation radius region relativistic result S₁ scalar scattering screen shown in Fig shows sin² solution sphere spherical surface transverse unit V₁ vanishes vector potential velocity wave guide wave number wavelength ΦΩ