Power carried by main wave of rectangular waveguide¶

A rectangular waveguide is a rectangular metal waveguide capable of supporting waves propagating along it. The main wave is a transverse electric wave with the first index equal to \(1\) and the second index equal to \(0\).

power¶: power transmitted by the waveguide.

Symbol:: P
Latex:: \(P\)
Dimension:: power

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

wavelength¶: wavelength of the signal.

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

material_resistance¶: electrical_resistance of the medium filling the waveguide.

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

electric_field_strength¶: Amplitude of electric_field_strength in the waveguide.

Symbol:: E
Latex:: \(E\)
Dimension:: voltage/length

law¶

P = a * b * sqrt(1 - (lambda / (2 * a))^2) * E^2 / (4 * R)

Latex:: \[P = \frac{a b \sqrt{1 - \left(\frac{\lambda}{2 a}\right)^{2}} E^{2}}{4 R}\]