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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 : 7a2 ( 5 3 ( x , 0 , 0 ) : = 3Va2 2x2 cos 0- ― 12x2 2 742 ( cos3 0 - 2 cos 0 ) + ( 2.33 ) For large values of x / a this expansion converges rapidly and ...
... expansion parameter is ( a2 / x2 ) , rather than a2 , the series takes on the form : 7a2 ( 5 3 ( x , 0 , 0 ) : = 3Va2 2x2 cos 0- ― 12x2 2 742 ( cos3 0 - 2 cos 0 ) + ( 2.33 ) For large values of x / a this expansion converges rapidly and ...
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 │x - x'❘ ΣΣ 1 r 21 + 1 r ' + 1 Yim ...
... 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 │x - x'❘ ΣΣ 1 r 21 + 1 r ' + 1 Yim ...
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BoundaryValue Problems in Electrostatics I | 26 |
Dielectrics | 98 |
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4-vector acceleration Ampère's law angle angular distribution antenna approximation atomic axis B₁ 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 diffraction dipole direction discussed E₁ electric field electromagnetic fields electron electrostatic energy loss energy transfer 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 plasma polarization power radiated problem radius region relativistic result S₁ scalar scattering screen shown in Fig shows sin² solid angle solution sphere spherical surface transverse unit V₁ vanishes vector potential velocity wave guide wave number wavelength ΦΩ