Characteristic resitance of rectangular waveguide for transverse magnetic waves¶

The resistance of a rectangular waveguide to transverse magnetic waves can be calculated from the resistance of the medium within the waveguide, the wavelength of the signal and the critical wavelength of the waveguide.

Conditions:

Waves propagating in the waveguide must be transverse magnetic waves.

wave_impedance¶: wave_impedance in the waveguide.

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

medium_impedance¶: wave_impedance of the medium filling the waveguide.

Symbol:: eta_0
Latex:: \(\eta_{0}\)
Dimension:: impedance

vacuum_wavelength¶: wavelength of the signal in vacuum.

Symbol:: lambda
Latex:: \(\lambda\)
Dimension:: length

critical_wavelength¶: Critical wavelength. See Critical wavelength of waveguide.

Symbol:: lambda_c
Latex:: \(\lambda_\text{c}\)
Dimension:: length

law¶

eta = eta_0 * sqrt(1 - (lambda / lambda_c)^2)

Latex:: \[\eta = \eta_{0} \sqrt{1 - \left(\frac{\lambda}{\lambda_\text{c}}\right)^{2}}\]