Refractive index via permittivity and permeability

Refractive index can be calculated from the relative permittivity and permeability of the medium.

Links:

  1. Wikipedia.

refractive_index

relative_refractive_index of the medium.

Symbol:

n

Latex:

\(n\)

Dimension:

dimensionless

relative_permittivity

relative_permittivity of the medium.

Symbol:

epsilon_r

Latex:

\(\varepsilon_{r}\)

Dimension:

dimensionless

relative_permeability

relative_permeability of the medium.

Symbol:

mu_r

Latex:

\(\mu_{r}\)

Dimension:

dimensionless

law

n = sqrt(epsilon_r * mu_r)

Latex:
\[n = \sqrt{\varepsilon_{r} \mu_{r}}\]