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A math theorem tells that for a function ,
|
(8) |
Assume standing waves in a box of size
with wave vectors
Assume we wish to calculate a function
that only depends on the modulus of .
We use
i.e.
Here,
is the density of states if there was only one polarization direction per possible `state'
(wave vector ). If there are two polarization directions, like for unpolarized light,
the density of states is twice as large, i.e.
.
Next: Waves, particles, and wave
Up: The Radiation Laws and
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Tobias Brandes
2004-02-04