Mueller matrix of non-uniform birefringence film

In the same way that the Jones matrix can be used to numerically calculate the optical properties of non-uniform birefringence film, the MeuUer matrix can be used to numerically calculate the optical properties of a non-uniform birefidngence film. We divide the film into N slabs as shown 

Sio rotator fii) Mretardar ri) Af rotatorifi i =Mrotator(J i) Mretardar i) M rotator ( -i)o 

The Stokes vector. So, of the outgoing light is related to the Stokes vector, S, of the incident fight by 

---