Any one help me in Refractive index and intiristic impedance of material

[efendi]

Hi ...

my equations is :
1- if the refractive index of the dielectric material related with frequency ?
if yes , is that because the permittivity relation with frequency or permeability or both of them ?. also i want the equation of refractive index relation with frequency.


2- in most dielectric material mu=1 therefore we can take intiristic impedance=1/refractive index but in lossy(but not perfect) mediums we can take that ?


3- i want the equations about permittivity and permeability relation with frequency.(complex permittivity and permeability)

 

[Navin A S]

1- Yes, the refractive index of a dielectric material is related to frequency as it depends on the permittivity and permeability of the material. The equation of refractive index with respect to frequency can be given as: n = c/v = (√(ε*μ))/f where c is the speed of light in vacuum, v is the phase velocity, ε is the permittivity, μ is the permeability, and f is the frequency.2- Intrinsic impedance is usually taken to be equal to 1/refractive index in most dielectric materials where μ=1. However, in lossy materials, the intrinsic impedance may not be equal to 1/refractive index as the loss factor needs to be taken into account.3- The equations for the complex permittivity and permeability with respect to frequency can be given as:ε = ε' - jε'' = ε(ω) - jε"(ω)μ = μ' - jμ'' = μ(ω) - jμ"(ω)Where ε' and ε'' are the real and imaginary parts of the permittivity, respectively, and μ' and μ'' are the real and imaginary parts of the permeability, respectively.