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Page xii
... expansion , 81 . 3.10 Expansion of Green's functions in cylindrical coordinates , 84 . 3.11 Eigenfunction expansions for Green's functions , 87 . 3.12 Mixed boundary conditions , charged conducting disc , 89 . References and suggested ...
... expansion , 81 . 3.10 Expansion of Green's functions in cylindrical coordinates , 84 . 3.11 Eigenfunction expansions for Green's functions , 87 . 3.12 Mixed boundary conditions , charged conducting disc , 89 . References and suggested ...
Page 44
... expansion parameter is ( a2 / x2 ) , rather than a2 , the series takes on the form : 3 ( cos30 - 2 cos ) + ] ( 2.33 ) 0-2 Q ( x , 0 , 0 ) = 3Va2 2x2 cos 0 7a2 ( 5 12x2 For large values of x / a this expansion converges rapidly and so is ...
... expansion parameter is ( a2 / x2 ) , rather than a2 , the series takes on the form : 3 ( cos30 - 2 cos ) + ] ( 2.33 ) 0-2 Q ( x , 0 , 0 ) = 3Va2 2x2 cos 0 7a2 ( 5 12x2 For large values of x / a this expansion converges rapidly and so is ...
Page 78
... expansion involved by considering spherical coordinates . For the case of no boundary surfaces , except at infinity , we already have the expansion of the Green's function , namely ( 3.70 ) : 1 = 4π - 1 Ym ( 0 ' , ' ) Yım ( 0 , 4 ) 21 + ...
... expansion involved by considering spherical coordinates . For the case of no boundary surfaces , except at infinity , we already have the expansion of the Green's function , namely ( 3.70 ) : 1 = 4π - 1 Ym ( 0 ' , ' ) Yım ( 0 , 4 ) 21 + ...
Contents
1 | 1 |
BoundaryValue Problems in Electrostatics I | 26 |
Dielectrics | 98 |
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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