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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 ) : ¤ ( r , 0 , 4 ) = £ Ź [ A1mr2 + B1mr ̄ ( 1 + 1 ) ] Y1⁄2m ( 0 , $ ) 1 = 0 m = -1 ( 3.61 ) 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 ) : ¤ ( r , 0 , 4 ) = £ Ź [ A1mr2 + B1mr ̄ ( 1 + 1 ) ] Y1⁄2m ( 0 , $ ) 1 = 0 m = -1 ( 3.61 ) If the potential is ...
Page 566
... Spherical Wave Expansion of a Vector Plane Wave In discussing the scattering or absorption of electromagnetic radiation by spherical objects , or localized systems in general , it is useful to have an expansion of a plane ...
... Spherical Wave Expansion of a Vector Plane Wave In discussing the scattering or absorption of electromagnetic radiation by spherical objects , or localized systems in general , it is useful to have an expansion of a plane ...
Page 638
... Spherical Bessel functions , see Bessel functions Spherical coordinates , 54 delta function in , 79 Laplace's equation in , 54 Spherical harmonics , YƖm ' 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 , YƖm ' 64 f . addition theorem for , 67 and angular momentum , 542 completeness relation ...
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