Electrodynamics and Optics by Wolfgang Demtröder

Author:Wolfgang Demtröder
Language: eng
Format: epub, pdf
ISBN: 9783030022914
Publisher: Springer International Publishing

(8.29)

With  = c/nh = ω/k => n = cω/k we obtain

(8.30)

This equation gives the relation between refractive index n and polarizability α of the atoms in the medium.

The induced dipole moment of each atomic dipole, where the charge −e experiences the displacement x by the electric field E of the electromagnetic wave is then obtained from (8.6a) as

With the polarizability

(8.31)

The comparison with (8.30) finally yields

(8.32)

This equation is also valid for large values of n (n − 1 ≫1).

For small values of n (n − 1 ≪ 1), (8.32) converges with (n2 − 1) = (n + 1) · (n − 1) ≈ 2(n − 1) towards Eq. (8.12a).

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