SYNTHETIC SCATTERING MATRIX FOR VOLCANIC ASH, PUYEHUE AT 647 nm. DATA ARE FREELY AVAILABLE UNDER THE REQUEST OF CITATION OF: Merikallio et al. JGR Atmospheres 2015 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 Fraunhofer theory. From the extrapolated F11 element we have calculated the corresponding asymmetry parameter= = 0.6477762461 Angle Fau_11 -F12/F11 F22/F11 F33/F11 F34/F11 F44/F11 0.0 0.56337305E+04 0.0000000000 0.9163289070 0.9163289070 0.0000000000 0.8326578140 0.1 0.42801729E+04 -0.0000089984 0.9163375497 0.9165182114 -0.0000105448 0.8327971697 0.2 0.26534421E+04 -0.0000353549 0.9163635969 0.9170755148 -0.0000412835 0.8332076669 0.3 0.17441960E+04 -0.0000781151 0.9164069295 0.9179845452 -0.0000908761 0.8338784575 0.4 0.12436884E+04 -0.0001363262 0.9164676070 0.9192295671 -0.0001579855 0.8347986937 0.5 0.94281842E+03 -0.0002090315 0.9165456295 0.9207943678 -0.0002412688 0.8359572887 0.6 0.74636676E+03 -0.0002952770 0.9166408777 0.9226629138 -0.0003393876 0.8373432755 0.7 0.60922998E+03 -0.0003941069 0.9167535901 0.9248191714 -0.0004509999 0.8389457464 0.8 0.50848920E+03 -0.0005045667 0.9168836474 0.9272470474 -0.0005747662 0.8407535553 0.9 0.43141531E+03 -0.0006257024 0.9170311093 0.9299305677 -0.0007093478 0.8427560329 1.0 0.37120444E+03 -0.0007565581 0.9171957970 0.9328536987 -0.0008534028 0.8449419737 1.1 0.32320227E+03 -0.0008961791 0.9173777699 0.9360001683 -0.0010055916 0.8473004699 1.2 0.28414771E+03 -0.0010436112 0.9175770879 0.9393541813 -0.0011645745 0.8498205543 1.3 0.25224826E+03 -0.0011978992 0.9177938104 0.9428997636 -0.0013290117 0.8524913788 1.4 0.22594991E+03 -0.0013580881 0.9180278778 0.9466205835 -0.0014975619 0.8553017974 1.5 0.20386649E+03 -0.0015232230 0.9182792306 0.9505007267 -0.0016688862 0.8582409620 1.6 0.18541664E+03 -0.0016923503 0.9185480475 0.9545242190 -0.0018416443 0.8612979650 1.7 0.16956696E+03 -0.0018645134 0.9188341498 0.9586749673 -0.0020144950 0.8644616604 1.8 0.15575368E+03 -0.0020387587 0.9191374779 0.9629368782 -0.0021861000 0.8677212000 1.9 0.14389734E+03 -0.0022141295 0.9194582701 0.9672937989 -0.0023551164 0.8710655570 2.0 0.13301596E+03 -0.0023896738 0.9197962284 0.9717298746 -0.0025202075 0.8744837642 2.1 0.12374017E+03 -0.0025644342 0.9201517105 0.9762290716 -0.0026800311 0.8779649734 2.2 0.11557390E+03 -0.0027374572 0.9205243587 0.9807751775 -0.0028332467 0.8814981580 2.3 0.10806810E+03 -0.0029077884 0.9209145308 0.9853523374 -0.0029785163 0.8850723505 2.4 0.10165281E+03 -0.0030744718 0.9213219285 0.9899442792 -0.0031144982 0.8886764646 2.5 0.95797073E+02 -0.0032365532 0.9217467308 0.9945352674 -0.0032398533 0.8922996521 2.6 0.90117279E+02 -0.0033930773 0.9221886992 0.9991089106 -0.0033532395 0.8959309459 2.7 0.85028481E+02 -0.0035430905 0.9226482511 1.0036493540 -0.0034533190 0.8995593786 2.8 0.80658272E+02 -0.0036856360 0.9231249094 1.0081405640 -0.0035387513 0.9031740427 2.9 0.76507553E+02 -0.0038197604 0.9236190319 1.0125663280 -0.0036081946 0.9067637324 3.0 0.72469826E+02 -0.0039445087 0.9241304994 1.0169109106 -0.0036603101 0.9103178382 3.1 0.68849998E+02 -0.0040589259 0.9246593118 1.0211579800 -0.0036937583 0.9138251543 3.2 0.65749367E+02 -0.0041620568 0.9252054095 1.0252915621 -0.0037071984 0.9172747731 3.3 0.62867111E+02 -0.0042529474 0.9257689118 1.0292955637 -0.0036992896 0.9206556678 3.4 0.60101189E+02 -0.0043306416 0.9263495803 1.0331541300 -0.0036686931 0.9239569902 3.5 0.57536983E+02 -0.0043941857 0.9269477129 1.0368510485 -0.0036140676 0.9271676540 3.6 0.55392555E+02 -0.0044426252 0.9275631309 1.0403703451 -0.0035340749 0.9302768111 3.7 0.53499508E+02 -0.0044750040 0.9281960130 1.0436959267 -0.0034273721 0.9332734346 3.8 0.51714237E+02 -0.0044903681 0.9288461208 1.0468116999 -0.0032926220 0.9361464977 3.9 0.50006477E+02 -0.0044877618 0.9295136333 1.0497015715 -0.0031284818 0.9388852119 4.0 0.48336952E+02 -0.0044662319 0.9301983714 1.0523498058 -0.0029336140 0.9414784312 4.1 0.46820057E+02 -0.0044248211 0.9309005737 1.0547401905 -0.0027066742 0.9439153075 4.2 0.45424282E+02 -0.0043625771 0.9316201210 1.0568565130 -0.0024463288 0.9461847544 4.3 0.44073944E+02 -0.0042785434 0.9323568344 1.0586827993 -0.0021512317 0.9482759237 4.4 0.42771385E+02 -0.0041717663 0.9331109524 1.0602031946 -0.0018200476 0.9501778483 4.5 0.41493416E+02 -0.0040412890 0.9338824749 1.0614014864 -0.0014514322 0.9518794417 4.6 0.40239574E+02 -0.0038861600 0.9346714020 1.0622617006 -0.0010440488 0.9533698559 4.7 0.39089684E+02 -0.0037054205 0.9354774952 1.0627676249 -0.0005965536 0.9546381235 4.8 0.37992664E+02 -0.0034981198 0.9363009334 1.0629032850 -0.0001076113 0.9556731582 4.9 0.36906387E+02 -0.0032632996 0.9371418357 1.0626528263 0.0004241221 0.9564641714 5.0 0.35856068E+02 -0.0030000000 0.9380000234 1.0620000362 0.0010000000 0.9570000172 6.0 0.25071125E+02 0.0010000000 0.9440000057 1.0349999666 0.0080000004 0.9530000091 7.0 0.19648951E+02 0.0040000002 0.9399999976 0.9990000129 0.0120000001 0.9419999719 8.0 0.15070400E+02 0.0000000000 0.9419999719 1.0080000162 0.0089999996 0.9100000262 9.0 0.13438599E+02 0.0030000000 0.9409999847 0.9940000176 0.0070000002 0.8920000196 10.0 0.12357331E+02 0.0049999999 0.9399999976 1.0269999504 0.0080000004 0.9240000248 15.0 0.60737076E+01 0.0010000000 0.9219999909 1.0099999905 0.0149999997 0.8640000224 20.0 0.38081970E+01 0.0070000002 0.9110000134 0.9840000272 0.0099999998 0.8550000191 25.0 0.26635597E+01 0.0020000001 0.8970000148 0.9330000281 0.0199999996 0.8560000062 30.0 0.19803417E+01 0.0020000001 0.8510000110 0.9110000134 0.0379999988 0.8259999752 35.0 0.15268435E+01 0.0049999999 0.8470000029 0.8809999824 0.0450000018 0.8000000119 40.0 0.12297921E+01 0.0170000009 0.8249999881 0.8460000157 0.0820000023 0.7429999709 45.0 0.99017084E+00 0.0270000007 0.7739999890 0.7699999809 0.0879999995 0.7229999900 50.0 0.83768457E+00 0.0379999988 0.7570000291 0.7459999919 0.1099999994 0.6489999890 55.0 0.73074609E+00 0.0520000011 0.7289999723 0.6919999719 0.1439999938 0.6380000114 60.0 0.64163071E+00 0.0659999996 0.6940000057 0.6439999938 0.1459999979 0.6420000196 65.0 0.57033837E+00 0.0740000010 0.6520000100 0.5720000267 0.1640000045 0.5490000248 70.0 0.51488882E+00 0.0769999996 0.6349999905 0.5159999728 0.1770000011 0.5320000052 75.0 0.46339995E+00 0.0949999988 0.5770000219 0.4860000014 0.1920000017 0.4939999878 80.0 0.42577347E+00 0.1080000028 0.5429999828 0.4280000031 0.2189999968 0.5310000181 85.0 0.39210764E+00 0.1129999980 0.5239999890 0.3790000081 0.2070000023 0.4889999926 90.0 0.36438286E+00 0.1209999993 0.4909999967 0.2910000086 0.1879999936 0.4160000086 95.0 0.34061879E+00 0.1340000033 0.4659999907 0.2339999974 0.1920000017 0.4020000100 100.0 0.31883502E+00 0.1280000061 0.4110000134 0.1850000024 0.1860000044 0.3610000014 105.0 0.29903159E+00 0.1309999973 0.4129999876 0.1309999973 0.1739999950 0.3230000138 110.0 0.28120854E+00 0.1239999980 0.3689999878 0.0829999968 0.1790000051 0.2910000086 115.0 0.26932648E+00 0.1129999980 0.3449999988 0.0500000007 0.1700000018 0.2419999987 120.0 0.25744441E+00 0.1070000008 0.3289999962 -0.0340000018 0.1369999945 0.1930000037 125.0 0.24754271E+00 0.0930000022 0.3149999976 -0.0630000010 0.1110000014 0.1689999998 130.0 0.23962136E+00 0.0890000015 0.3179999888 -0.1180000007 0.1080000028 0.1319999993 135.0 0.23566066E+00 0.0769999996 0.3240000010 -0.1410000026 0.0970000029 0.0640000030 140.0 0.22971962E+00 0.0659999996 0.3269999921 -0.1640000045 0.0829999968 0.0489999987 145.0 0.22773930E+00 0.0520000011 0.3350000083 -0.2080000043 0.0939999968 0.0289999992 150.0 0.22575895E+00 0.0359999985 0.3379999995 -0.2220000029 0.0549999997 -0.0030000000 155.0 0.22575895E+00 0.0299999993 0.3610000014 -0.2479999959 0.0469999984 -0.0390000008 160.0 0.22971962E+00 0.0149999997 0.3770000041 -0.2800000012 0.0359999985 -0.0640000030 165.0 0.23169997E+00 0.0060000001 0.4050000012 -0.2849999964 0.0219999999 -0.0939999968 170.0 0.24160169E+00 -0.0099999998 0.4180000126 -0.2960000038 0.0049999999 -0.1260000020 171.0 0.24358203E+00 -0.0049999999 0.4180000126 -0.3120000064 -0.0060000001 -0.1059999987 172.0 0.24754271E+00 -0.0010000000 0.4320000112 -0.3199999928 -0.0240000002 -0.1350000054 173.0 0.25150341E+00 -0.0130000003 0.4280000031 -0.3219999969 -0.0060000001 -0.1260000020 174.0 0.25744441E+00 -0.0109999999 0.4379999936 -0.3370000124 0.0010000000 -0.1059999987 175.0 0.26338544E+00 -0.0120000001 0.4239999950 -0.3459999859 -0.0149999997 -0.1270000041 176.0 0.27130681E+00 -0.0060000001 0.4259999990 -0.3670000136 -0.0060000001 -0.1019999981 177.0 0.28516918E+00 -0.0060000001 0.4239999950 -0.3319999874 -0.0240000002 -0.0799999982 177.1 0.28654182E+00 -0.0060551274 0.4235708117 -0.3299432397 -0.0254565291 -0.0748631731 177.2 0.28786790E+00 -0.0060627926 0.4231562018 -0.3287348151 -0.0265556537 -0.0687892064 177.3 0.28914750E+00 -0.0060261954 0.4227561355 -0.3283201456 -0.0273189899 -0.0618560798 177.4 0.29038051E+00 -0.0059485370 0.4223705828 -0.3286444545 -0.0277681649 -0.0541418046 177.5 0.29156700E+00 -0.0058330158 0.4219996035 -0.3296532333 -0.0279247873 -0.0457243659 177.6 0.29270697E+00 -0.0056828326 0.4216431975 -0.3312917352 -0.0278104842 -0.0366817825 177.7 0.29380038E+00 -0.0055011879 0.4213013053 -0.3335053325 -0.0274468791 -0.0270920433 177.8 0.29484728E+00 -0.0052912817 0.4209739864 -0.3362394273 -0.0268555842 -0.0170331374 177.9 0.29584765E+00 -0.0050563128 0.4206612110 -0.3394392729 -0.0260582194 -0.0065830760 178.0 0.29680148E+00 -0.0047994824 0.4203630090 -0.3430503011 -0.0250764042 0.0041801538 178.1 0.29770881E+00 -0.0045239911 0.4200792909 -0.3470178545 -0.0239317641 0.0151785575 178.2 0.29856953E+00 -0.0042330376 0.4198101759 -0.3512872458 -0.0226459131 0.0263341162 178.3 0.29938379E+00 -0.0039298227 0.4195555747 -0.3558038473 -0.0212404691 0.0375688598 178.4 0.30015150E+00 -0.0036175463 0.4193155169 -0.3605130315 -0.0197370574 0.0488047674 178.5 0.30087265E+00 -0.0032994081 0.4190900624 -0.3653600812 -0.0181572940 0.0599638596 178.6 0.30154729E+00 -0.0029786085 0.4188791513 -0.3702904284 -0.0165227968 0.0709681287 178.7 0.30217540E+00 -0.0026583476 0.4186826944 -0.3752493560 -0.0148551883 0.0817395672 178.8 0.30275697E+00 -0.0023418257 0.4185009003 -0.3801822662 -0.0131760901 0.0922001973 178.9 0.30329204E+00 -0.0020322427 0.4183336198 -0.3850344419 -0.0115071172 0.1022720039 179.0 0.30378053E+00 -0.0017327981 0.4181808531 -0.3897513449 -0.0098698903 0.1118770018 179.1 0.30422246E+00 -0.0014466924 0.4180426598 -0.3942782283 -0.0082860319 0.1209371835 179.2 0.30461794E+00 -0.0011771261 0.4179190397 -0.3985604942 -0.0067771594 0.1293745488 179.3 0.30496684E+00 -0.0009272981 0.4178099036 -0.4025434554 -0.0053648893 0.1371111125 179.4 0.30526924E+00 -0.0007004096 0.4177154005 -0.4061724842 -0.0040708464 0.1440688819 179.5 0.30552506E+00 -0.0004996597 0.4176354408 -0.4093929529 -0.0029166455 0.1501698494 179.6 0.30573437E+00 -0.0003282491 0.4175699353 -0.4121501744 -0.0019239087 0.1553360075 179.7 0.30589715E+00 -0.0001893781 0.4175190628 -0.4143894613 -0.0011142587 0.1594893634 179.8 0.30601341E+00 -0.0000862466 0.4174827337 -0.4160562754 -0.0005093131 0.1625518948 179.9 0.30608311E+00 -0.0000220531 0.4174608886 -0.4170958698 -0.0001306825 0.1644456685 180.0 0.30610630E+00 -0.0000000000 0.4174536765 -0.4174536765 0.0000000000 0.1650926471