Why is the sky blue?
Let
then
Substituting into (3),
Taking the real part of x and ignoring the imaginary part
(4)
The dipole moment of the atom would be
(5)
The consequences of (4) and (5) verifies the objectives previously raised: (i) Light creates dipoles oscillating at the same angular frequency (ii) The amplitude of positional and dipole oscillation is constant over time:
in atoms;
(6)
so that there is no net gain or loss of energy as time progresses. The energy absorbed is reradiated by the oscillating dipole at the same rate.
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