Gamma with balun deembeding

I have a question about the calucluation of Gamma(in), looking into the balun balanced input.

Assuming:
1) The balun has Z0=50ohm at the unbalance port and Zdiff=100 at the balance ports;
2) The mix-mode s parameters for the balun is known, only differential mode is taken into consideration --> [S11 S1d; Sd1 Sdd]
3) The Gamma(s) at the unbalanced port looking into the source is known

Can I use the equation of Gamma(in)=S11+(S1d*Sd1*Gamma(s))/(1-Sdd*Gamma(s))? The impedance at S11 and Sdd are different. Is the equation still valid?

Thanks.