Classical Electrodynamics |
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Page 67
... spherical coordi- nates can be written in terms of spherical harmonics and powers of r in a generalization of ( 3.33 ) : ∞ เ • ( r , 0 , 6 ) = Σ Σ [ Aimr2 + Bimr ̄ ( l + 1 ) ] Yım ( 0 , 4 ) ( 3.61 ) 1 = 0 m = -1 If the potential is ...
... spherical coordi- nates can be written in terms of spherical harmonics and powers of r in a generalization of ( 3.33 ) : ∞ เ • ( r , 0 , 6 ) = Σ Σ [ Aimr2 + Bimr ̄ ( l + 1 ) ] Yım ( 0 , 4 ) ( 3.61 ) 1 = 0 m = -1 If the potential is ...
Page 538
... spherical waves . These vector spherical waves are convenient for electromagnetic boundary - value problems possessing spherical symmetry properties and for the discussion of multipole radiation from a localized source distribution . In ...
... spherical waves . These vector spherical waves are convenient for electromagnetic boundary - value problems possessing spherical symmetry properties and for the discussion of multipole radiation from a localized source distribution . In ...
Page 638
... Spherical Bessel functions , see Bessel functions Spherical coordinates , 54 delta function in , 79 Laplace's equation in , 54 Spherical harmonics , Yim , 64 f . addition theorem for , 67 and angular momentum , 542 completeness relation ...
... Spherical Bessel functions , see Bessel functions Spherical coordinates , 54 delta function in , 79 Laplace's equation in , 54 Spherical harmonics , Yim , 64 f . addition theorem for , 67 and angular momentum , 542 completeness relation ...
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