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Write the time domain expressions for the transverse components of the fields for TM propagation in a lossless rectangular waveguide of width a and height b (see Exercise 17.4).

Exercise 17.4

Propagation in discontinuous waveguides. Two parallel plate waveguides are connected as shown in Figure 17.24. The material between the plates is free space. Assume that both waveguides operate in TE modes only. The source on the left supplies power at all frequencies between 1 MHz and 100 GHz. What is the lowest frequency signal received at the receiver. Disregard reflections at the connection between the two waveguides.

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