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Calculation of the dependent variable
As the dielectric constant is the index of refraction squared we obtain a simple relation
and conversely
The Fresnel coefficients read in usual notation
and
where, of course, the Sneel's law holds (with the consequence ). The reflactance and transmittance, obeying , are defined as and respectively, when the indices are appended correctly. For the unpolarised light, .
The ellipsometric angles are defined as .
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