Wave speed from medium permittivity and permeability

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

Notation:

  1. \(c\) (c) is speed_of_light.

Links:

  1. 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:

\(\varepsilon_{r}\)

Dimension:

dimensionless

relative_permeability

relative_permeability of the medium.

Symbol:

mu_r

Latex:

\(\mu_{r}\)

Dimension:

dimensionless

law

v = c / sqrt(epsilon_r * mu_r)

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