Ovsiyuk, E. M.; Veko, O. V.; Red’kov, V. M. Mueller semigroups of the rank 1 and 2. (Russian. English summary) Zbl 1261.81082 Probl. Fiz. Mat. Tekh. 2012, No. 2(11), 34-40 (2012). Summary: Several simple sets of degenerated Mueller matrices of the rank 1 and 2 having the structure of semigroups are constructed explicitly with the use of a linear expansion of real \(4 \times 4\)-matrices in terms of Dirac matrices. The properties important in polarization optics are considered. MSC: 81S25 Quantum stochastic calculus 81V80 Quantum optics 15A66 Clifford algebras, spinors 16S36 Ordinary and skew polynomial rings and semigroup rings Keywords:Mueller matrix; polarization optics; semigroup PDFBibTeX XMLCite \textit{E. M. Ovsiyuk} et al., Probl. Fiz. Mat. Tekh. 2012, No. 2(11), 34--40 (2012; Zbl 1261.81082)