Question: Show that the group dispersion parameter, d 2 β/dÏ 2 , for a given mode in a parallel-plate or rectangular waveguide is given by where

Show that the group dispersion parameter, d2β/dω2, for a given mode in a parallel-plate or rectangular waveguide is given by

d²B We\27-3/2 do?


where ωc is the radian cutoff frequency for the mode in question [note that the first derivative form was already found, resulting in Eq. (57)].

Eq. (57)

Ост sin Om ---=) 1 – Vgm ||

dB We\27-3/2 do? sin Om ---=) 1 Vgm ||

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