Английская Википедия:Hagen–Rubens relation

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Шаблон:Short description In optics, the Hagen–Rubens relation (or Hagen–Rubens formula) is a relation between the coefficient of reflection and the conductivity for materials that are good conductors.[1] The relation states that for solids where the contribution of the dielectric constant to the index of refraction is negligible, the reflection coefficient can be written as (in SI Units):[2] <math>R\approx1-2\sqrt{\frac{2\epsilon_0\omega}{\sigma}} </math>

where <math>\omega</math> is the frequency of observation, <math>\sigma</math> is the conductivity, and <math>\epsilon_0</math> is the vacuum permittivity. For metals, this relation holds for frequencies (much) smaller than the Drude relaxation rate, and in this case the otherwise frequency-dependent conductivity <math>\sigma</math> can be assumed frequency-independent and equal to the dc conductivity.

The relation is named after German physicists Ernst Bessel Hagen and Heinrich Rubens who discovered it in 1903.[3][4]

References

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