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matching floquet mode photo with mathematical formula

yefj

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Hello ,In cst i have a floquet mode which is depicted as TM(1,1).
In waveguide theory TM11 means having a magnetic field component perpandicular to the direction of propogation.
(1,1) means that we have half wave structure at the X and half wave structure at the Y purely amplitude.
But in the photo i see that the H -field also has diagonal direction.Also there is a photo of TM(1,-1)
By the axes i see (1,1) means 1*X^ +1*Y^ polarization ,and (1,-1) is 1*Y^-1*X^

Regular TM11 mode in waveguide is defined as shown below.
How do i update the formulas below with the polarization of the components shown in the photos below?
It seems like the wave amplitute is periodic both on X and Y direction.
but the actual arrow of the field why they are in the perpadicular direction?
How do i define the direction of the field based on the wave its being periodic?
Thanks.
1717828117185.png


1717826834333.png

1717827604161.png


1717828351027.png

1717828534158.png
 

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