visualizing three index cylindrical modes logic

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yef smith

Joined Aug 2, 2020
751
Hello ,a circular waveguide was built and i got the modes shown bellow.
I understand the idiea thats its similar to rectangular waveguide were we count the number of half waveguides.
i saw that mode 1 is similar to TE11 but where is the half wavelength issue.
how can i see it in the photo?
Also how can i recognize mode 4 shown bellow?
Thanks.

1682525058392.png


mode 1 cutoff 12.8Ghz
E-field:
1682525099028.png
H-field:
1682525134814.png

mode 4 electric field fc=20.46:
1682525168955.png

mode 4 magnetic field:
1682525200759.png
 
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