Finding Ratio of Lowest Cutoff Frequencies for Waveguide - Quick Question

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SUMMARY

The discussion focuses on determining the ratio of the lowest TM (Transverse Magnetic) cutoff frequency to the lowest TE (Transverse Electric) cutoff frequency in rectangular waveguides. The user successfully derives the cutoff frequencies for TE10 and TM11 modes but seeks clarification on the absence of TM10 and the implications of the electric field components along the waveguide axis. The consensus indicates that TM modes must have at least one non-zero component, which excludes TM10 in this context.

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Homework Statement


I have to find the ratio of the lowest TM cutoff frequency to the lowest TE cutoff frequency.


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The Attempt at a Solution


I have derived the general form of the cutoff frequency (which seems to be the same for both). I get the right answer if I take TE10 and TM11; but why is this? I know why you can't have TE00 or TM00, but why can't TM take TM10?

Thanks
 
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What shape waveguide is this in reference to?

Assuming you are talking about a rectangular waveguide, what happens to the component of the electric field along the axis of the waveguide for TM10 and TM01? What does that make all the other components? Are those really TM modes?
 

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