Classical Electrodynamics |
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Page 12
... solid angle element d subtended by da ' at P. For a constant surface - dipole - moment density D , the potential is just the product of the moment and the solid angle subtended at the observation point by the surface , regardless of its ...
... solid angle element d subtended by da ' at P. For a constant surface - dipole - moment density D , the potential is just the product of the moment and the solid angle subtended at the observation point by the surface , regardless of its ...
Page 478
... solid angle element at the observation point . The total energy radiated per unit solid angle is the time integral of ( 14.51 ) : dw ΦΩ -∞ = | A ( t ) | 2 dt ( 14.53 ) This can be expressed alternatively as an integral over a frequency ...
... solid angle element at the observation point . The total energy radiated per unit solid angle is the time integral of ( 14.51 ) : dw ΦΩ -∞ = | A ( t ) | 2 dt ( 14.53 ) This can be expressed alternatively as an integral over a frequency ...
Page 501
... 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 solid angle is : dP e2cB4 == 4 + ẞ2 cos2 0 ΦΩ 32πα ...
... 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 solid angle is : dP e2cB4 == 4 + ẞ2 cos2 0 ΦΩ 32πα ...
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