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Calculation for the Renormalize Function

The renormalization is calculated as follows.

Impedance matrix is obtained from the S-parameters. It is returned to the S-parameters by using impedance of the new port.

is the normalized impedance, is the identity matrix, is the scattering matrix.

is the port's characteristic impedance = the original reference impedance. The components other than the diagonal components are 0.

is the newly specified port's admittance = the new reference admittance. The components other than the diagonal components are 0. S-parameters are obtained in the equation below.

 

 

The above is applicable for the data obtained from the electromagnetic analysis.

If the data is from the Touchstone file, the reference impedance in the file will be used.

 

In the case of piezoelectric analysis, the admittance matrix exists in the original calculation. Therefore, the impedance matrix at (2) can be obtained as the inverse of Y matrix. The rest of the calculations are the same as electromagnetic analysis.