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TM mode patch antenna

TM mode patch antenna

TM mode patch antenna

(OP)
Few questions about TM modes I hope someone want to answer

Can someone explain why only TM mode can exist in the rectangular waveguide that the patch antenna create. I read about it in balanis antenna theory but didn't understand enough.

A other question about the TM(hLW) mode. How are the multiples of the dominant mode related.
If the frequency for tm010 is good tuned, is tm020 also good tuned then?
If the frequency for tm010 is bad tuned, is tm020 also bad tuned then etc?

If I understand it right so can tm100, tm010 and tm001 exist at the same time. Is that correct?

balanis also write in his book TM^x(hLW) or for example TM^x(010). What means with the super scripted small x?

/Thomas

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