“…Once a single‐particle 4 × 4 Mueller scattering matrix ( S , mm 2 ) is generated (see the equations in Vivekanandan et al ()), it is integrated over the particle size distributions (PSDs) for each species class in the model to derive a size‐integrated 4 × 4 Mueller scattering matrix (S| i , mm 2 /m 3 ): where i represents each particular hydrometeor species, and N ( D ) represents the particle number density (m −4 ) for a given particle diameter D (m). In typical bulk microphysics schemes with four ice categories such as the Goddard 4ICE scheme (Lang et al, ; Tao et al, ), the hydrometeor species are cloud, rain, ice crystals, snow aggregates, graupel, and hail. In the HUCM SBM scheme (Khain et al, ), i represents liquid droplets, three types of ice‐crystal shapes (column, dendrite, and plate), snow aggregates, graupel, or hail.…”