Wave impedance from permeability and permittivity¶

The impedance of a wave is a value determined by the ratio of the transverse component of the electric field to the transverse component of the magnetic field of a traveling wave.

Notation:

\(Z_0\) (Z_0) is vacuum_impedance.

Conditions:

The dielectric medium is ideal, i.e. its conductivity \(sigma = 0\).

Links:

Wikipedia, derivable from last formula in paragraph.

wave_impedance¶: wave_impedance.

Symbol:: eta
Latex:: \(\eta\)
Dimension:: impedance

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¶

eta = Z_0 * sqrt(mu_r / epsilon_r)

Latex:: \[\eta = Z_0 \sqrt{\frac{\mu_\text{r}}{\varepsilon_\text{r}}}\]