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visualizing field formulas in simulation photos

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yefj

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Hello, I have bellow the results of waveguide simulation from photo 1 i can see that its has 2 half wavelength along the width and zero on the other side.
On photo 2 we have from top view some circles.
but how can i see those circles in the formulas in the formulas of TE TM modes shown in the end?
Also how to know from the field plots bellowif its TM or TE mode?
In photo 3 taken from a manual Each field compent is designated by different color but in simulation there is no defiirent colors there is only one type of coloring.
How can i see the X and Y direction of the electric field in the simulation?
Thanks.

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