Classical Electrodynamics |
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Page 233
... Show that plane waves with frequency ∞ and wave vector k must satisfy kx ( k × E ) + D = 0 c2 = ( b ) Show that for a given wave vector k kn there are two distinct modes of propagation with different phase velocities v = w / k which ...
... Show that plane waves with frequency ∞ and wave vector k must satisfy kx ( k × E ) + D = 0 c2 = ( b ) Show that for a given wave vector k kn there are two distinct modes of propagation with different phase velocities v = w / k which ...
Page 369
... show that the invariant " length " element is ds2 = dx2 + dy2 + dz2 c2 dt2 - ( 11.60 ) This leads immediately to the ... shows that the time 7 , called the proper time of the particle , is a Lorentz invariant quantity . This is of ...
... show that the invariant " length " element is ds2 = dx2 + dy2 + dz2 c2 dt2 - ( 11.60 ) This leads immediately to the ... shows that the time 7 , called the proper time of the particle , is a Lorentz invariant quantity . This is of ...
Page 501
... Show that the instantaneous power radiated per unit solid angle is : where ẞawo / c . = dP ( t ' ) e2c84 = sin2 0 cos2 ( wt ' ) ΦΩ 4a2 ( 1+ cos 0 sin wor ' ) 5 ( b ) By performing a time averaging , show that the average power per unit ...
... Show that the instantaneous power radiated per unit solid angle is : where ẞawo / c . = dP ( t ' ) e2c84 = sin2 0 cos2 ( wt ' ) ΦΩ 4a2 ( 1+ cos 0 sin wor ' ) 5 ( b ) By performing a time averaging , show that the average power per unit ...
Common terms and phrases
4-vector acceleration Ampère's law angle angular distribution antenna approximation atomic axis Babinet's principle behavior boundary conditions calculate cavity Chapter charge q charged particle coefficients collisions component conducting conductor constant coordinate cross section cylinder d³x dielectric dielectric constant diffraction dipole direction discussed E₁ electric field electromagnetic fields electron electrostatic energy loss factor force equation frame 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 P₂ parallel perpendicular phase velocity plane wave plasma polarization power radiated problem propagation radius region relativistic result 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