Classical Electrodynamics |
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Page 61
0) — . . | 2 a 8 \a 16 \a (3.37) To find the potential outside the sphere we merely
replace (r/a)" by (a/r)". The resulting potential can be seen to be the same as (
2.33), obtained by another means. Series (3.33), with its coefficients determined
by ...
0) — . . | 2 a 8 \a 16 \a (3.37) To find the potential outside the sphere we merely
replace (r/a)" by (a/r)". The resulting potential can be seen to be the same as (
2.33), obtained by another means. Series (3.33), with its coefficients determined
by ...
Page 559
TE(l) (16.105) The presence of the factor (ka)” in the transition probability (16.104
) means that in the long-wavelength limit (ka & 1) the transition rate falls off
rapidly with increasing multipole order, for a fixed frequency. Consequently in an
...
TE(l) (16.105) The presence of the factor (ka)” in the transition probability (16.104
) means that in the long-wavelength limit (ka & 1) the transition rate falls off
rapidly with increasing multipole order, for a fixed frequency. Consequently in an
...
Page 587
This means that we can change the summation indices so that the sum now
reads dp - oo (-1)" Joseo, 1)R"-1 2n+1 dt – no c" #Tit } where (17.25) – “... a 1% -
a Wool { } = J~,0+; (x, 0. + 1)(n + 2)R"T" With the continuity equation for charge
and ...
This means that we can change the summation indices so that the sum now
reads dp - oo (-1)" Joseo, 1)R"-1 2n+1 dt – no c" #Tit } where (17.25) – “... a 1% -
a Wool { } = J~,0+; (x, 0. + 1)(n + 2)R"T" With the continuity equation for charge
and ...
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Contents
Introduction to Electrostatics | 1 |
References and suggested reading | 23 |
Multipoles Electrostatics of Macroscopic Media | 98 |
Copyright | |
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acceleration angle angular applied approximation assumed atomic average axis becomes boundary conditions calculate called Chapter charge charged particle classical collisions compared component conducting Consequently consider constant coordinates cross section cylinder defined density dependence derivative determine dielectric dimensions dipole direction discussed distance distribution effects electric field electromagnetic electron electrostatic energy equal equation example expansion expression factor force frame frequency function given gives incident inside integral involved light limit Lorentz loss magnetic magnetic field magnetic induction magnitude mass means momentum motion moving multipole normal observation obtain origin parallel particle physical plane plasma polarization position potential problem properties radiation radius region relation relative relativistic result satisfy scalar scattering shown in Fig shows side solution space sphere spherical surface transformation unit vanishes vector velocity volume wave written