AVERAGE SYNTHETIC SCATTERING MATRIX of the Volcanic Ash samples at red wavelengths (632 nm, 647 nm). DATA ARE FREELY AVAILABLE UNDER THE REQUEST OF CITATION OF: Gomez Martin et al. JQSRT, 271, 107761, 2021, AND Munoz et al. JQSRT, 113, 565-574, 2012. F11_au is normalized so that its average over all directions equals unity. For the extrapolation of the F11 element at forward direction we have assumed the size distribution based on Mie theory. From the extrapolated F11 element we have calculated the corresponding asymmetry parameter= = 0.6837 Angle Fau11 -F12/F11 F22/F11 F33/F11 F34/F11 F44/F11 0 18472.81897 0 0.97365 0.97365 0 0.94731 0.1 8159.16778 -3.43252E-6 0.97365 0.97363 -1.83167E-5 0.94731 0.2 3148.90479 -1.35061E-5 0.97363 0.97358 -7.19648E-5 0.94733 0.3 1974.95498 -2.98846E-5 0.9736 0.97348 -1.58989E-4 0.94735 0.4 1416.77343 -5.2232E-5 0.97356 0.97335 -2.77437E-4 0.94738 0.5 1090.12833 -8.02118E-5 0.9735 0.9732 -4.25352E-4 0.94742 0.6 868.68546 -1.13488E-4 0.97344 0.97302 -6.00781E-4 0.94747 0.7 716.57904 -1.51726E-4 0.97336 0.97281 -8.0177E-4 0.94753 0.8 600.63349 -1.94587E-4 0.97327 0.97258 -0.00103 0.94759 0.9 508.63931 -2.41737E-4 0.97317 0.97234 -0.00127 0.94767 1 439.62698 -2.92839E-4 0.97306 0.97208 -0.00154 0.94776 2 160.25725 -9.47285E-4 0.97126 0.96939 -0.00485 0.94918 3 88.40837 -0.00163 0.96826 0.9686 -0.00798 0.95168 4 56.2024 -0.00213 0.96378 0.97214 -0.01003 0.95641 5 38.36505 -0.00242 0.96009 0.97682 -0.01236 0.96109 6 28.84354 -0.00125 0.96467 0.97251 -0.01218 0.94869 7 22.69126 4.16667E-4 0.96216 0.96893 -0.01364 0.94556 8 17.90868 0.00142 0.95956 0.96689 -0.01409 0.93989 9 14.53773 0.00283 0.95651 0.96231 -0.01491 0.9284 10 11.71308 0.00408 0.95545 0.96109 -0.01409 0.92473 15 5.91855 0.00567 0.93727 0.94273 -0.01745 0.90764 20 3.68529 0.007 0.91864 0.92355 -0.01536 0.86673 25 2.5541 0.00758 0.90236 0.90255 -0.01164 0.84745 30 1.87705 0.01133 0.88327 0.87945 -0.00382 0.82027 35 1.43828 0.01342 0.86273 0.85455 0.00936 0.79264 40 1.13187 0.0185 0.83855 0.82164 0.019 0.75582 45 0.9107 0.02842 0.80727 0.781 0.03118 0.72773 50 0.75677 0.03667 0.77582 0.74245 0.05118 0.69209 55 0.6413 0.04817 0.74545 0.69718 0.07036 0.66236 60 0.55357 0.06242 0.70927 0.64018 0.08427 0.62718 65 0.48701 0.07342 0.67109 0.58109 0.09973 0.58436 70 0.4348 0.08108 0.63527 0.52482 0.11564 0.54991 75 0.39313 0.09133 0.59664 0.46264 0.12636 0.50955 80 0.3605 0.101 0.55855 0.40336 0.13709 0.47764 85 0.33347 0.10908 0.52418 0.34027 0.14618 0.44282 90 0.31128 0.114 0.49209 0.27236 0.15173 0.40527 95 0.29157 0.11608 0.45809 0.21191 0.15082 0.37164 100 0.27626 0.11417 0.42682 0.15591 0.15 0.32845 105 0.26199 0.11567 0.40082 0.08827 0.14873 0.29009 110 0.25009 0.11033 0.37491 0.02955 0.13745 0.25645 115 0.24114 0.10217 0.35718 -0.02136 0.13391 0.21509 120 0.23205 0.09558 0.33955 -0.08155 0.12555 0.17791 125 0.22597 0.09067 0.33773 -0.12555 0.113 0.13891 130 0.22171 0.07825 0.32555 -0.17727 0.10145 0.10245 135 0.21939 0.06383 0.32518 -0.20818 0.08427 0.06564 140 0.21646 0.04867 0.33045 -0.23891 0.07782 0.03264 145 0.21604 0.03567 0.34227 -0.28636 0.06582 0.00491 150 0.21758 0.02083 0.35645 -0.30418 0.05118 -0.02518 155 0.21869 0.00925 0.36482 -0.33645 0.03391 -0.05745 160 0.22212 -0.00642 0.39091 -0.35209 0.02255 -0.08864 165 0.22681 -0.01767 0.41691 -0.37327 0.00691 -0.11582 170 0.23792 -0.01925 0.42627 -0.37591 -0.00945 -0.129 171 0.24211 -0.01858 0.42947 -0.40764 -0.01409 -0.12809 172 0.2483 -0.01948 0.43566 -0.41989 -0.02138 -0.13201 173 0.25156 -0.01647 0.43684 -0.42862 -0.02071 -0.12198 174 0.25741 -0.01622 0.43775 -0.44213 -0.01985 -0.10427 175 0.26368 -0.01562 0.43729 -0.44745 -0.01833 -0.07806 176 0.26936 -0.01246 0.43757 -0.44882 -0.0142 -0.03432 177 0.27494 -0.00857 0.43741 -0.44109 -0.01128 0.01109 178 0.27919 -0.00456 0.43713 -0.43651 -0.00688 0.0624 179 0.28174 -0.00133 0.43697 -0.43625 -0.00219 0.10708 180 0.28259 -1.66667E-10 0.43691 -0.43691 -3.54545E-10 0.12618