Group delay
in waveguide
Updated January
13, 2005
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The group delay of waveguide components is a function of the frequency
you are applying. Near the lower cutoff, the group delay gets longer
and longer, as the EM wave ping-pongs down the guide, and can easily
be 10X the free-space group delay. But at the upper end of a waveguide's
band, the group delay approaches the free-space group delay.
Let's start by presenting the
equation the lower cutoff wavelength of the dominant TE10 mode in
waveguide:

Now the equation for guide wavelength
(the wavelength of a signal in the guide) which is smaller than
the free-space wavelength:

Group velocity in a waveguide
is speed at which EM energy travels in the guide (which is slower
than free space). Equation is... and plotted below, we see it varies
tremendously across the band for WR-90 (X-band) waveguide.

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