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TEM mode existance in closed inductor logic question

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yefj

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Hello, From the mathematical logic bellow(POZAR BOOK),Why TEM mode cannot exist in a closed conductor?
so what if we have a static potential zero?
why does it mean that TEM mode cannot exist?
Thanks.
1626428910050.png

1626428976276.png
 

If the potential is zero, the power carried by the mode is also zero. A mode, by definition, carries (some complex) power.

Therefore, the mode cannot exist in such a scenario.
 
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    yefj

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