- #1

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- Homework Statement
- Plate separation is given as 2*10^-3 m. Waveguide propagates through two different permabilities. Find Frequency of Wave (Imgur Link with the Figure of the Problem is attached as well)

- Relevant Equations
- ##f(cutoff) = {m}/{(2d*√μϵ)}##

The Imgur Link of the Problem with the figure - Problem Link. I did not paste it here as the post upload quality seemed heavily pixelated for some reason.

For this problem, what I did was to divide the waveguide into 2 sections of distinct permabilities to calculate the cutoff frequency. Since the problem asks for frequency of wave specifically I calculated the range of frequencies for which the waveguide will propagate in TM Mode.

Now I am confused as to whether this approach is fine or not (I think it should be because we do not have any more data supplied with the problem). Also, is this bifurcation technique fine or should I be finding the average of the 2 cutoff frequencies.

I have attached my work. I sincerely request someone to please take a look and guide me if my method is correct or not..

For this problem, what I did was to divide the waveguide into 2 sections of distinct permabilities to calculate the cutoff frequency. Since the problem asks for frequency of wave specifically I calculated the range of frequencies for which the waveguide will propagate in TM Mode.

Now I am confused as to whether this approach is fine or not (I think it should be because we do not have any more data supplied with the problem). Also, is this bifurcation technique fine or should I be finding the average of the 2 cutoff frequencies.

I have attached my work. I sincerely request someone to please take a look and guide me if my method is correct or not..