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Loaded q_factor in time domain contradicts S-param q-factor

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yef smith

Joined Aug 2, 2020
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Hello , i have compared two methods of getting a loaded Q-facto.
one is using the decay of electric field shown below, the other is using S-parameters Q=w0/delta_w.
I get tottaly different results.
Where did i go wrong?
Does these methods should give us the same result?
Thanks.

1691345199059.png
 
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