Section 7.2 · Problems · 2 of 5

Problem 7.2.2: The thickness window for TM_1

Problem 7.2.2

The thickness window for TM $_{1}$

Specify the minimum and maximum thicknesses of a parallel-plate waveguide with a filling dielectric material polyethylene ( $ε_{r} = 2.25$ ) in order to have only TM $_{1}$ mode to propagate for $1 GHz$ .

Find the range of $b$ .
For $b = 15 cm$ (the middle of the range) find $τ_{1}$ , $λ_{g}$ , $v_{p}$ , $v_{g}$ and $Z_{T M}$ of the TM $_{1}$ mode.
Which modes actually propagate in this guide?

Try it yourself first.

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