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Page 546
... Multipole Fields ; Energy and Angular Momentum of Multipole Radiation Before considering the connection between the general solution ( 16.47 ) and a localized source distribution , we examine the properties of the individual multipole ...
... Multipole Fields ; Energy and Angular Momentum of Multipole Radiation Before considering the connection between the general solution ( 16.47 ) and a localized source distribution , we examine the properties of the individual multipole ...
Page 550
... multipole of order ( 1 , m ) the parity is ( −1 ) 11 . In this case the electric field Em is of the same form as Bim for electric multipoles . Hence the parities of the fields are just opposite to those of an electric multipole of the ...
... multipole of order ( 1 , m ) the parity is ( −1 ) 11 . In this case the electric field Em is of the same form as Bim for electric multipoles . Hence the parities of the fields are just opposite to those of an electric multipole of the ...
Page 557
... multipole moment qim ( 4.3 ) . The moment Qim ' is an induced electric multipole moment due to the magnetization . It is generally at least a factor kr smaller than the normal moment Qim For the magnetic multi- pole coefficient a ( l ...
... multipole moment qim ( 4.3 ) . The moment Qim ' is an induced electric multipole moment due to the magnetization . It is generally at least a factor kr smaller than the normal moment Qim For the magnetic multi- pole coefficient a ( l ...
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4-vector Ampère's law angle angular distribution approximation atomic axis boundary conditions calculate Chapter charge density charge q charged particle coefficients collisions component conductor consider coordinates cross section current density cylinder d³x delta function dielectric constant diffraction dimensions dipole direction discussed E₁ electric field electromagnetic fields electron electrostatic energy loss expansion expression factor frequency given Green's function impact parameter incident particle inside integral inversion Laplace's equation linear Lorentz transformation macroscopic magnetic field magnetic induction magnetic moment magnitude Maxwell's equations meson modes molecules momentum motion multipole nonrelativistic normal obtain oscillations P₁ parallel plasma point charge Poisson's equation polarization problem radiation radius region relativistic result scalar scalar potential scattering shown in Fig shows solution spherical surface surface-charge density theorem transverse unit V₁ vanishes vector potential velocity volume wave equation wave number wavelength written zero ΦΩ