Wave speed from medium permittivity and permeability¶

Speed of electromagnetic wave propagation depends on relative permittivity and relative permeability of the medium.

Notation:

\(c\) (c) is speed_of_light.

Links:

Wikipedia, derivable from here.

wave_speed¶: Speed of wave propagation in medium. See phase_speed.

Symbol:: v
Latex:: \(v\)
Dimension:: velocity

relative_permittivity¶: relative_permittivity of the medium.

Symbol:: epsilon_r
Latex:: \(\varepsilon_\text{r}\)
Dimension:: dimensionless

relative_permeability¶: relative_permeability of the medium.

Symbol:: mu_r
Latex:: \(\mu_\text{r}\)
Dimension:: dimensionless

law¶

v = c / sqrt(epsilon_r * mu_r)

Latex:: \[v = \frac{c}{\sqrt{\varepsilon_\text{r} \mu_\text{r}}}\]