SYNTHETIC SCATTERING MATRIX FOR EYJAFJALLAJOKULL VOLCANIC ASH AT 647 nm. 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 Fraunhofer theory. From the extrapolated F11 element we have calculated the corresponding asymmetry parameter= = 0.64 Angle Fau11 -F12/F11 F22/F11 F33/F11 F34/F11 F44/F11 0.0 4243.3383789063 0.0000000000 0.9230000973 0.9230000973 0.0000000000 0.8460001945 1.0 299.6259460449 0.0003067825 0.9263401628 0.9304871559 0.0009337565 0.8194677830 2.0 107.3001098633 0.0009847531 0.9339067340 0.9485489130 0.0024066828 0.7766635418 3.0 59.7558670044 0.0016703466 0.9420200586 0.9705861807 0.0024262690 0.7727776170 4.0 41.1005020142 0.0020000001 0.9470000267 0.9900000095 -0.0010000000 0.8629999757 5.0 34.9813575745 0.0020000001 0.9530000091 0.9990000129 -0.0030000000 0.9980000257 6.0 24.9637718201 0.0030000000 0.9700000286 0.9980000257 0.0040000002 0.9200000167 7.0 20.9690513611 0.0049999999 0.9499999881 1.0149999857 -0.0219999999 0.9459999800 8.0 16.5128860474 0.0060000001 0.9399999976 1.0169999599 -0.0189999994 0.9840000272 9.0 13.8672914505 0.0070000002 0.9380000234 1.0110000372 -0.0219999999 0.9279999733 10.0 11.2942333221 0.0080000004 0.9530000091 0.9909999967 -0.0149999997 0.9179999828 15.0 6.9742960930 0.0040000002 0.9160000086 0.9940000176 -0.0130000003 1.0319999456 20.0 4.3528971672 0.0089999996 0.8809999824 1.0039999485 -0.0149999997 0.8820000291 25.0 3.0740544796 0.0099999998 0.8830000162 0.9570000172 -0.0049999999 0.8529999852 30.0 2.1973237991 0.0130000003 0.8750000000 0.9520000219 -0.0000000000 0.8270000219 35.0 1.7314885855 0.0179999992 0.8629999757 0.9089999795 0.0160000008 0.8090000153 40.0 1.3557479382 0.0199999996 0.8259999752 0.8840000033 0.0289999992 0.7540000081 45.0 1.0832816362 0.0280000009 0.7960000038 0.8460000157 0.0450000018 0.7260000110 50.0 0.8811266422 0.0419999994 0.7659999728 0.8140000105 0.0700000003 0.7099999785 55.0 0.7514845133 0.0529999994 0.7469999790 0.7440000176 0.0810000002 0.6779999733 60.0 0.6460130215 0.0640000030 0.6990000010 0.6759999990 0.1030000001 0.6480000019 65.0 0.5603173971 0.0780000016 0.6710000038 0.6110000014 0.1070000008 0.6079999804 70.0 0.4965949357 0.0869999975 0.6349999905 0.5590000153 0.1379999965 0.5730000138 75.0 0.4482536912 0.0979999974 0.5870000124 0.4819999933 0.1340000033 0.5239999890 80.0 0.4065048099 0.1059999987 0.5609999895 0.4219999909 0.1509999931 0.4810000062 85.0 0.3757422566 0.1190000027 0.5329999924 0.3569999933 0.1589999944 0.4490000010 90.0 0.3471768796 0.1220000014 0.4909999967 0.2960000038 0.1700000018 0.4379999936 95.0 0.3252037466 0.1309999973 0.4659999907 0.2319999933 0.1840000004 0.4050000012 100.0 0.3054279387 0.1340000033 0.4350000024 0.1630000025 0.1679999977 0.3370000124 105.0 0.2900463343 0.1330000013 0.3980000019 0.1059999987 0.1560000032 0.3280000091 110.0 0.2768626511 0.1199999973 0.3709999919 0.0419999994 0.1550000012 0.2450000048 115.0 0.2658759654 0.1199999973 0.3569999933 -0.0060000001 0.1400000006 0.2150000036 120.0 0.2570865750 0.1150000021 0.3420000076 -0.0640000030 0.1480000019 0.1729999930 125.0 0.2482974678 0.1070000008 0.3359999955 -0.1099999994 0.1230000034 0.1280000061 130.0 0.2417055964 0.0970000029 0.3330000043 -0.1509999931 0.1070000008 0.0860000029 135.0 0.2395079285 0.0759999976 0.3300000131 -0.1949999928 0.0979999974 0.0469999984 140.0 0.2373108715 0.0610000007 0.3409999907 -0.2399999946 0.0799999982 0.0030000000 145.0 0.2373108715 0.0489999987 0.3569999933 -0.2689999938 0.0599999987 -0.0320000015 150.0 0.2351134419 0.0270000007 0.3709999919 -0.3019999862 0.0599999987 -0.0659999996 155.0 0.2395079285 0.0130000003 0.3700000048 -0.3120000064 0.0390000008 -0.0930000022 160.0 0.2417055964 -0.0070000002 0.4020000100 -0.3389999866 0.0359999985 -0.1369999945 165.0 0.2504946887 -0.0130000003 0.4289999902 -0.3379999995 0.0140000004 -0.1689999998 170.0 0.2636784911 -0.0189999994 0.4420000017 -0.3779999912 -0.0070000002 -0.1749999970 171.0 0.2680735290 -0.0149999997 0.4490000010 -0.3910000026 -0.0099999998 -0.1949999928 172.0 0.2724678516 -0.0170000009 0.4510000050 -0.4009999931 -0.0120000001 -0.2150000036 173.0 0.2812574208 -0.0149999997 0.4580000043 -0.4079999924 -0.0160000008 -0.1889999956 174.0 0.2878491580 -0.0120000001 0.4560000002 -0.4160000086 -0.0250000004 -0.1790000051 175.0 0.2966386378 -0.0099999998 0.4620000124 -0.4050000012 -0.0199999996 -0.1790000051 176.0 0.3076252937 -0.0080000004 0.4620000124 -0.4120000005 -0.0230000000 -0.1389999986 177.0 0.3230065107 -0.0040000002 0.4580000043 -0.4199999869 -0.0170000009 -0.1110000014 178.0 0.3431034088 -0.0012654655 0.4527251124 -0.4304659367 -0.0085647004 -0.0336734205 179.0 0.3612549603 -0.0001882808 0.4480288923 -0.4411225319 -0.0023931379 0.0615036860 180.0 0.3691501319 0.0000000000 0.4459999800 -0.4459999800 0.0000000000 0.1080000401