Reflectance of micron-sized dust particles retrieved with the Umov law

The maximum positive polarization P-max that initially unpolarized light acquires when scattered from a particulate surface inversely correlates with its geometric albedo A. In the literature, this phenomenon is known as the Umov law. We investigate the Umov law in application to single-scattering submicron and micron-sized agglomerated debris particles, model particles that have highly irregular morphology. We find that if the complex refractive index m is constrained to Re(m)=1.4-1.7 and Im(m)=0-0.15, model particles of a given size distribution have a linear inverse correlation between log(P-max) and log(A). This correlation resembles What is measured in particulate surfaces, suggesting a similar mechanism governing the Umov law in both systems. We parameterize the dependence of log(A) on log(P-max) of single scattering particles and analyze the airborne polarimetric measurements of atmospheric aerosols reported by Dolgos & Martins in [1]. We conclude that P-max approximate to 50% measured by Dolgos & Martins corresponds to very dark aerosols having geometric albedo A=0.019 +/- 0.005. (C) 2017 Elsevier Ltd. All rights reserved.