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logic for TM condition on solving fields

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yefj

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Hello,I am having problem with solution shown bellow.
TM means Hz=0,but why d/dz=0?why do we need this assumption?
Thanks.

1683804664910.png

1683804710597.png
 

d/dz of what = 0?
I guess the text is referring to all the other field components, i.e., they are assuming the fields are uniform in the z-direction inside the cavity. This would end up limiting the problem to a 2D domain, which greatly simplifies things.
 
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    yefj

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