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Introduction to modern physics - FSU Physics Department

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Frequencies in cavity radiation<br />

cavity radiation = system of standing waves produced by<br />

interference of e.m. waves reflected between cavity walls<br />

<br />

many more “modes” per wavelength band <br />

at high frequencies (short wavelengths)<br />

than at low frequencies<br />

• for cavity of volume V, n = (8πV/ 4 ) <br />

or n = (8πV/c 3 ) f 2 f<br />

if energy continuous, get equipartition, = kT all modes<br />

have same energy spectral density grows beyond bounds as<br />

f<br />

If energy related <strong>to</strong> frequency and not continous (E = nhf),<br />

the “Boltzmann fac<strong>to</strong>r” e<br />

-E/kT<br />

leads <strong>to</strong> a suppression of high<br />

frequencies<br />

34

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