The equivalence of Cameron’s unit disc and Poincaré’s sphere for symmetric scattering characterisation and classification

Cameron´s coherent target decomposition and classification is able to represent a symmetric scatterer onto a unit disc in the complex plane, and assign it to one of the six symmetrical elemental scatterer classes. Recently, Touzi et al. proposed a variation of Cameron´s method by introducing a coherent analysis. Moreover the Poincare´s sphere, was used instead of the unit disc for representing symmetric scattering because it was considered a more suitable domain. The aim of this work is to demonstrate the equivalence of using Poincare´s sphere domain and Cameron´s unit disc, in term of characterisation and classification of symmetric scattering types.