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Questions on microstrip transmission lines

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zourlas

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For a quarter wave transformer with larger width 50Ω and resistive load 75 Ω if we know the S11 response to frequency what formula can we use to calculate the effective relative permitivity?

And another one

In branch line coupler if we know th S11 S21 S31 and S41what are the formulas for calculating the coupling, the directivity and isolation

thanks a lot
 

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