Simple and multiple scattering in disordered one-dimensional media: Renormalisation group approach

The exact characteristic penetration length associated with both simple and multiple incoherent elastic scattering in semi-infinite one-dimensional disordered media is established as a function ofp (concentration of scattering centers) andf₀ (transmission coefficient of a single center). Then we exhibit how these phenomena can be seen as critical ones, and the corresponding are reobtained within convenient real space renormalisation group frameworks. Finally we discuss a generalized model where the single center transmission coefficientf can randomly take two different valuesf₁ andf₂.