Wavelength in rectangular waveguide¶

Wavelength in a rectangular waveguide is a function of operating wavelength (or wavelength in free space) and the critical (or lower cutoff) wavelength, and is always longer than that in free space.

Links:

Microwaves101, section “Guide Wavelength”.

waveguide_wavelength¶: Guide wavelength is defined as the distance between the two equal phase planes along the waveguide.

Symbol:: lambda_g
Latex:: \(\lambda_\text{g}\)
Dimension:: length

vacuum_wavelength¶: wavelength of the signal wave in vacuum.

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

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

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

law¶

lambda_g = lambda / sqrt(1 - (lambda / lambda_c)^2)

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