Tudor Tiberiu
Opt Lett. 2015 Mar 1;40(5):693-6. doi: 10.1364/OL.40.000693.
In a pure operatorial (nonmatrix) Pauli algebraic approach, this Letter shows that the Poincaré vector of the light transmitted by a dichroic device can be expressed as function of the Poincaré vectors of the incoming light and of the device by a composition law of the same kind as the composition law of the noncolinear relativistic velocities. This is, in fact, a general law of composition for three-dimensional (3D) vectors remaining in the Poincaré ball (where they have a group-like structure). The differences between this problem and that of the composition law of two dichroic devices are pointed out and justified.
在一种纯算符（非矩阵）的泡利代数方法中，本信函表明，二向色性器件所透射光的庞加莱矢量可通过与非共线相对论速度合成律相同类型的合成律，表达为入射光和该器件的庞加莱矢量的函数。实际上，这是三维（3D）矢量在庞加莱球内（它们在其中具有类群结构）的一般合成律。指出并论证了该问题与两个二向色性器件合成律问题之间的差异。
