I have been able to confuse myself: I am studying the form of the modes in a rectangular waveguide: enter image description here

I understand that each mode has a different spatial distribution, but what I dont understand is if all the modes have the same frequency?

or each spatial distribution has a different frequency?

I hope you can help me Thank you

  • 1
    $\begingroup$ in a longitudinally homogeneous waveguide the mode shapes are frequency independent $\endgroup$
    – hyportnex
    Commented Aug 28, 2020 at 14:28

1 Answer 1


Your pictures show square waveguides. For this case the frequencies are proportional to $\sqrt{m^2+n^2}$, where m and n are the number of bumps in each direction. For your pictures this gives the frequency ratios $1:\sqrt{2}:1:\sqrt{2}$ and $\sqrt{2}:\sqrt{3}:\sqrt{3}:2$.


Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.

Not the answer you're looking for? Browse other questions tagged or ask your own question.