Relation between refractive index and dielectric constant
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Answer:
Both refractive index and dielectric constant are complex functions.
Complex refractive index is given by n(complex) = n – ik
Where k is an imaginary part of complex refractive index (also called extinction coefficient).
Furthermore,
n(complex) = sqrt (complex epsilon) = sqrt (epsilon1 – i*epsilon2)
Where Epsilon1 = n^2 – k^2, is a real part of dielectric function
and Epsilon2 (imaginary part) = 2nk.
For further details I can recommend for example: S. O. Kasap and P. Capper
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There is no relationship between the conductivity and dielectric constant of a material. The capacitance between two conductors will be proportional to the dielectric constant of the material between the conductors, assuming the spacing and area are fixed.
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