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problem about Microwave amp optimization

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cygnet

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Hi all,I wonder if somebody would like to help me with an optimization
problem in Matematica.
I have the so called S-parameters (S11,S12,S21,S22) of a transistor circuit and are complex valued.

I want to maximize the trancducer powergain function
Gt= [(1-|R_s|^2)/|1-R_in*R_s|^2]*|S21|^2*[(1-|R_l|^2)/|1-S22*R_l|^2]

Constraints: R_in= S11 + S12*S21*R_l/(1-S22*R_l) < 1
|R_l| < 1 AND outside circle with radius r_l at point C_l
|R_s| < 1 AND outside circle with radius r_s at point C_s

r_l and r_s are real valued functions of the S-parameters.
C_l and C_s are complex valued functions of the S-parameters.
They describe the load and source stability circles.
Hoping for some help...

Kindest regards,
 

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