Critical wavelength in rectangular waveguide¶

A rectangular waveguide is a rectangular metal waveguide capable of supporting waves propagating along it. The critical frequency depends on the indices of the specific propagation mode and the dimensions of the waveguide cross-section.

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

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

first_index¶: The first index shows how many half-wavelengths fit across the width of the cross section.

Symbol:: m
Latex:: \(m\)
Dimension:: dimensionless

second_index¶: The second index shows how many half-wavelengths fit across the height of the cross section.

Symbol:: n
Latex:: \(n\)
Dimension:: dimensionless

width¶: Width, or first dimension of the cross section. See length.

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

height¶: Height, or second dimension of the cross section. See length.

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

law¶

lambda_c = 2 / sqrt((m / a)^2 + (n / b)^2)

Latex:: \[\lambda_\text{c} = \frac{2}{\sqrt{\left(\frac{m}{a}\right)^{2} + \left(\frac{n}{b}\right)^{2}}}\]