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The parallel-plate waveguide is air-filled and a = 2 cm. Plot the frequency as a function...

The parallel-plate waveguide is air-filled and a = 2 cm. Plot the frequency as a function of the longitudinal propagation constant for TM2, numerically find and then plot the phase velocity and the group velocity as a function of the longitudinal propagation constant. Use a range of the longitudinal propagation constant from 0 to 1000 [m-1]. In all graphs indicate the light lines.

I will give thumbs up! please include detailed plots

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