The shapes and orientations of the polarization objects of the polarization matrix and its active component coincide but differ by a scale coefficient 1/P₂ ≥ 1 as ${\widehat{a}}_{a1}={\widehat{a}}_1/P_2$, ${\widehat{a}}_{a2}={\widehat{a}}_2/P_2$, ${\widehat{a}}_{a3}={\widehat{a}}_3/P_2$, and ${\widehat{\mathbf{n}}}_{a\mathrm{O}}={\widehat{\mathbf{n}}}_{\mathrm{O}}/P_2$. Note that the case where P₂ = 0 is excluded because it corresponds to a fully unpolarized state, which lacks an active component.