SYNTHETIC SCATTERING MATRIX FOR OLIVINE S AT 633 nm. DATA ARE FREELY AVAILABLE UNDER THE REQUEST OF CITATION OF: Muñoz et al. Astronomy and Astrophysics, vol. 360, pp. 777-788, 2000, 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= = 0.6705293059 Angle Fau_11 -F12/F11 F22/F11 F33/F11 F34/F11 F44/F11 0.0 0.28332794E+03 0.0000000000 0.9324291348 0.9324291348 0.0000000000 0.8648582697 0.1 0.28248685E+03 -0.0000100991 0.9324257970 0.9324769378 -0.0000059146 0.8649885654 0.2 0.28005997E+03 -0.0000399289 0.9324156642 0.9326180816 -0.0000233050 0.8653734326 0.3 0.27605542E+03 -0.0000887919 0.9323987961 0.9328491688 -0.0000516430 0.8660039902 0.4 0.27063019E+03 -0.0001559927 0.9323751926 0.9331670403 -0.0000904018 0.8668714762 0.5 0.26394299E+03 -0.0002408316 0.9323448539 0.9335682392 -0.0001390517 0.8679668903 0.6 0.25615680E+03 -0.0003426118 0.9323077798 0.9340496063 -0.0001970654 0.8692813516 0.7 0.24749902E+03 -0.0004606342 0.9322639704 0.9346076250 -0.0002639137 0.8708060980 0.8 0.23816016E+03 -0.0005942016 0.9322134256 0.9352389574 -0.0003390684 0.8725318909 0.9 0.22831335E+03 -0.0007426169 0.9321560860 0.9359404445 -0.0004220019 0.8744502068 1.0 0.21819299E+03 -0.0009051814 0.9320920110 0.9367086887 -0.0005121853 0.8765519261 1.1 0.20791982E+03 -0.0010811972 0.9320212007 0.9375402927 -0.0006090904 0.8788283467 1.2 0.19766553E+03 -0.0012699675 0.9319436550 0.9384320378 -0.0007121894 0.8812703490 1.3 0.18757205E+03 -0.0014707946 0.9318593740 0.9393805861 -0.0008209536 0.8838692904 1.4 0.17769780E+03 -0.0016829796 0.9317682385 0.9403825402 -0.0009348547 0.8866161108 1.5 0.16814757E+03 -0.0019058251 0.9316704869 0.9414346218 -0.0010533644 0.8895017505 1.6 0.15898077E+03 -0.0021386342 0.9315660000 0.9425335526 -0.0011759553 0.8925178051 1.7 0.15023558E+03 -0.0023807085 0.9314547777 0.9436759353 -0.0013020978 0.8956550360 1.8 0.14193471E+03 -0.0026313504 0.9313367605 0.9448585510 -0.0014312644 0.8989045620 1.9 0.13410805E+03 -0.0028898604 0.9312120080 0.9460777640 -0.0015629261 0.9022574425 2.0 0.12675125E+03 -0.0031555432 0.9310804605 0.9473305941 -0.0016965556 0.9057049751 2.1 0.11985483E+03 -0.0034277001 0.9309422970 0.9486136436 -0.0018316241 0.9092382193 2.2 0.11341737E+03 -0.0037056329 0.9307972789 0.9499235153 -0.0019676031 0.9128482342 2.3 0.10741196E+03 -0.0039886441 0.9306455851 0.9512568712 -0.0021039648 0.9165261388 2.4 0.10183044E+03 -0.0042760368 0.9304870963 0.9526104331 -0.0022401807 0.9202630520 2.5 0.96639526E+02 -0.0045671123 0.9303218722 0.9539809227 -0.0023757229 0.9240500331 2.6 0.91821777E+02 -0.0048611728 0.9301498532 0.9553649426 -0.0025100622 0.9278782606 2.7 0.87350243E+02 -0.0051575201 0.9299712777 0.9567591548 -0.0026426711 0.9317387938 2.8 0.83203529E+02 -0.0054554576 0.9297857881 0.9581602812 -0.0027730213 0.9356227517 2.9 0.79356239E+02 -0.0057542874 0.9295936227 0.9595649242 -0.0029005844 0.9395211935 3.0 0.75784706E+02 -0.0060533113 0.9293946624 0.9609698653 -0.0030248319 0.9434253573 3.1 0.72467903E+02 -0.0063518314 0.9291890264 0.9623717070 -0.0031452358 0.9473262429 3.2 0.69385765E+02 -0.0066491505 0.9289765358 0.9637672901 -0.0032612677 0.9512149692 3.3 0.66518211E+02 -0.0069445698 0.9287574887 0.9651529789 -0.0033723996 0.9550827146 3.4 0.63847988E+02 -0.0072373925 0.9285315275 0.9665256143 -0.0034781029 0.9589205384 3.5 0.61359432E+02 -0.0075269206 0.9282988906 0.9678819180 -0.0035778494 0.9627195001 3.6 0.59037235E+02 -0.0078124567 0.9280595183 0.9692184925 -0.0036711106 0.9664708376 3.7 0.56868912E+02 -0.0080933021 0.9278133512 0.9705320597 -0.0037573585 0.9701654911 3.8 0.54841866E+02 -0.0083687594 0.9275604486 0.9718192220 -0.0038360648 0.9737946391 3.9 0.52944698E+02 -0.0086381305 0.9273009300 0.9730768204 -0.0039067012 0.9773494601 4.0 0.51168373E+02 -0.0089007197 0.9270344377 0.9743013382 -0.0039687399 0.9808209538 4.1 0.49502113E+02 -0.0091558266 0.9267613888 0.9754896164 -0.0040216511 0.9842003584 4.2 0.47939194E+02 -0.0094027547 0.9264816046 0.9766381383 -0.0040649087 0.9874786735 4.3 0.46471500E+02 -0.0096408054 0.9261949658 0.9777436852 -0.0040979823 0.9906470180 4.4 0.45091869E+02 -0.0098692821 0.9259015918 0.9788029194 -0.0041203457 0.9936965108 4.5 0.43794014E+02 -0.0100874845 0.9256015420 0.9798126817 -0.0041314685 0.9966183305 4.6 0.42572922E+02 -0.0102947187 0.9252948165 0.9807693362 -0.0041308245 0.9994034171 4.7 0.41422230E+02 -0.0104902834 0.9249811769 0.9816696644 -0.0041178833 1.0020430088 4.8 0.40337353E+02 -0.0106734838 0.9246608019 0.9825105071 -0.0040921182 1.0045281649 4.9 0.39314445E+02 -0.0108436206 0.9243338108 0.9832883477 -0.0040530004 1.0068501234 5.0 0.38349026E+02 -0.0109999999 0.9240000248 0.9840000272 -0.0040000002 1.0089999437 10.0 0.14084544E+02 -0.0070000002 0.9049999714 0.9670000076 0.0060000001 0.9819999933 15.0 0.73851366E+01 0.0000000000 0.8949999809 0.9480000138 0.0030000000 0.9559999704 20.0 0.46128912E+01 0.0040000002 0.8809999824 0.9340000153 -0.0010000000 0.9269999862 25.0 0.31015773E+01 0.0080000004 0.8659999967 0.9269999862 -0.0040000002 0.9070000052 30.0 0.22556925E+01 0.0109999999 0.8439999819 0.8989999890 -0.0040000002 0.8849999905 35.0 0.17165821E+01 0.0160000008 0.8280000091 0.8690000176 -0.0010000000 0.8539999723 40.0 0.13218360E+01 0.0189999994 0.8080000281 0.8360000253 0.0049999999 0.8180000186 45.0 0.10466412E+01 0.0250000004 0.7829999924 0.7929999828 0.0109999999 0.7829999924 50.0 0.85039604E+00 0.0320000015 0.7590000033 0.7519999743 0.0189999994 0.7469999790 55.0 0.70603168E+00 0.0410000011 0.7300000191 0.7089999914 0.0299999993 0.7099999785 60.0 0.60903704E+00 0.0489999987 0.7089999914 0.6750000119 0.0419999994 0.6700000167 65.0 0.52332062E+00 0.0590000004 0.6800000072 0.6209999919 0.0570000000 0.6250000000 70.0 0.46241698E+00 0.0670000017 0.6460000277 0.5600000024 0.0640000030 0.5789999962 75.0 0.41279173E+00 0.0759999976 0.6079999804 0.4990000129 0.0759999976 0.5490000248 80.0 0.37218925E+00 0.0869999975 0.5690000057 0.4370000064 0.0850000009 0.5130000114 85.0 0.33835393E+00 0.0960000008 0.5370000005 0.3729999959 0.0960000008 0.4709999859 90.0 0.31128556E+00 0.0970000029 0.5000000000 0.3240000010 0.0979999974 0.4280000031 95.0 0.29549572E+00 0.1000000015 0.4639999866 0.2460000068 0.1110000014 0.3910000026 100.0 0.27519450E+00 0.1019999981 0.4379999936 0.1899999976 0.1099999994 0.3510000110 105.0 0.26166031E+00 0.1040000021 0.4120000005 0.1319999993 0.1129999980 0.3140000105 110.0 0.25263757E+00 0.1010000035 0.3860000074 0.0750000030 0.1120000035 0.2759999931 115.0 0.24361479E+00 0.0939999968 0.3680000007 0.0199999996 0.1099999994 0.2399999946 120.0 0.23459202E+00 0.0890000015 0.3479999900 -0.0299999993 0.1099999994 0.2080000043 125.0 0.22556926E+00 0.0780000016 0.3359999955 -0.0799999982 0.1019999981 0.1640000045 130.0 0.22331356E+00 0.0649999976 0.3339999914 -0.1250000000 0.0939999968 0.1309999973 135.0 0.22105785E+00 0.0520000011 0.3339999914 -0.1620000005 0.0909999982 0.0900000036 140.0 0.21654651E+00 0.0340000018 0.3389999866 -0.1979999989 0.0799999982 0.0529999994 145.0 0.21203509E+00 0.0170000009 0.3510000110 -0.2360000014 0.0710000023 0.0089999996 150.0 0.21429077E+00 0.0010000000 0.3770000041 -0.2610000074 0.0590000004 -0.0340000018 155.0 0.21654651E+00 -0.0189999994 0.3919999897 -0.2870000005 0.0450000018 -0.0799999982 160.0 0.21429077E+00 -0.0329999998 0.4140000045 -0.3149999976 0.0320000015 -0.1199999973 165.0 0.21880218E+00 -0.0370000005 0.4309999943 -0.3479999900 0.0140000004 -0.1449999958 170.0 0.23684770E+00 -0.0280000009 0.4289999902 -0.3700000048 -0.0089999996 -0.1260000020 171.0 0.24135910E+00 -0.0260000005 0.4239999950 -0.3840000033 -0.0120000001 -0.1099999994 172.0 0.24587047E+00 -0.0230000000 0.4180000126 -0.3819999993 -0.0120000001 -0.0949999988 172.1 0.24630243E+00 -0.0226579253 0.4174085855 -0.3814939559 -0.0119048478 -0.0929111540 172.2 0.24672896E+00 -0.0223114975 0.4168246090 -0.3810247779 -0.0118032321 -0.0906399488 172.3 0.24715005E+00 -0.0219609402 0.4162480831 -0.3805917203 -0.0116953487 -0.0881916881 172.4 0.24756572E+00 -0.0216064714 0.4156789780 -0.3801939785 -0.0115813930 -0.0855717137 172.5 0.24797592E+00 -0.0212483108 0.4151173234 -0.3798308372 -0.0114615578 -0.0827853233 172.6 0.24838071E+00 -0.0208866782 0.4145630896 -0.3795014918 -0.0113360416 -0.0798378140 172.7 0.24878009E+00 -0.0205217991 0.4140163064 -0.3792051375 -0.0112050390 -0.0767345354 172.8 0.24917400E+00 -0.0201538913 0.4134769738 -0.3789409995 -0.0110687427 -0.0734807849 172.9 0.24956247E+00 -0.0197831728 0.4129450619 -0.3787083626 -0.0109273503 -0.0700818747 173.0 0.24994554E+00 -0.0194098651 0.4124206007 -0.3785063624 -0.0107810562 -0.0665431395 173.1 0.25032312E+00 -0.0190341920 0.4119035900 -0.3783342540 -0.0106300553 -0.0628698915 173.2 0.25069532E+00 -0.0186563712 0.4113940001 -0.3781912625 -0.0104745440 -0.0590674467 173.3 0.25106210E+00 -0.0182766244 0.4108918607 -0.3780766428 -0.0103147160 -0.0551410988 173.4 0.25142342E+00 -0.0178951733 0.4103971720 -0.3779895306 -0.0101507660 -0.0510961674 173.5 0.25177929E+00 -0.0175122339 0.4099099040 -0.3779292703 -0.0099828904 -0.0469380021 173.6 0.25212976E+00 -0.0171280298 0.4094300866 -0.3778949678 -0.0098112840 -0.0426718891 173.7 0.25247478E+00 -0.0167427827 0.4089576900 -0.3778859377 -0.0096361432 -0.0383031555 173.8 0.25281435E+00 -0.0163567122 0.4084927142 -0.3779013157 -0.0094576618 -0.0338371284 173.9 0.25314850E+00 -0.0159700401 0.4080352485 -0.3779403567 -0.0092760352 -0.0292791035 174.0 0.25347722E+00 -0.0155829825 0.4075851738 -0.3780023158 -0.0090914592 -0.0246343892 174.1 0.25380048E+00 -0.0151957627 0.4071425796 -0.3780863881 -0.0089041274 -0.0199083276 174.2 0.25411835E+00 -0.0148086026 0.4067073762 -0.3781918287 -0.0087142363 -0.0151062291 174.3 0.25443077E+00 -0.0144217201 0.4062796235 -0.3783178031 -0.0085219806 -0.0102333920 174.4 0.25473773E+00 -0.0140353404 0.4058593214 -0.3784635365 -0.0083275558 -0.0052951602 174.5 0.25503930E+00 -0.0136496779 0.4054464698 -0.3786282837 -0.0081311567 -0.0002968287 174.6 0.25533539E+00 -0.0132649560 0.4050410390 -0.3788112998 -0.0079329787 0.0047562793 174.7 0.25562608E+00 -0.0128813954 0.4046430290 -0.3790117502 -0.0077332174 0.0098588690 174.8 0.25591135E+00 -0.0124992169 0.4042524695 -0.3792288601 -0.0075320681 0.0150055811 174.9 0.25619113E+00 -0.0121186394 0.4038693905 -0.3794618845 -0.0073297243 0.0201911312 175.0 0.25646549E+00 -0.0117398864 0.4034937322 -0.3797099590 -0.0071263830 0.0254101921 175.1 0.25673446E+00 -0.0113631757 0.4031254649 -0.3799724281 -0.0069222380 0.0306574572 175.2 0.25699797E+00 -0.0109887291 0.4027647078 -0.3802484572 -0.0067174858 0.0359275900 175.3 0.25725603E+00 -0.0106167663 0.4024113417 -0.3805372715 -0.0065123206 0.0412153043 175.4 0.25750870E+00 -0.0102475081 0.4020654857 -0.3808380663 -0.0063069384 0.0465152562 175.5 0.25775591E+00 -0.0098811761 0.4017269611 -0.3811501265 -0.0061015333 0.0518221520 175.6 0.25799772E+00 -0.0095179910 0.4013959467 -0.3814725578 -0.0058963015 0.0571306497 175.7 0.25823402E+00 -0.0091581699 0.4010723531 -0.3818047047 -0.0056914371 0.0624354668 175.8 0.25846493E+00 -0.0088019371 0.4007562101 -0.3821457624 -0.0054871361 0.0677312538 175.9 0.25869045E+00 -0.0084495116 0.4004474878 -0.3824949265 -0.0052835941 0.0730127171 176.0 0.25891045E+00 -0.0081011141 0.4001462162 -0.3828514218 -0.0050810054 0.0782745406 176.1 0.25912505E+00 -0.0077569662 0.3998523653 -0.3832144439 -0.0048795650 0.0835113898 176.2 0.25933427E+00 -0.0074172858 0.3995659947 -0.3835832775 -0.0046794689 0.0887179598 176.3 0.25953797E+00 -0.0070822956 0.3992870450 -0.3839570880 -0.0044809119 0.0938889384 176.4 0.25973630E+00 -0.0067522172 0.3990155756 -0.3843351603 -0.0042840894 0.0990190059 176.5 0.25992915E+00 -0.0064272676 0.3987514675 -0.3847166598 -0.0040891962 0.1041028425 176.6 0.26011658E+00 -0.0061076703 0.3984948397 -0.3851008415 -0.0038964269 0.1091351509 176.7 0.26029861E+00 -0.0057936441 0.3982456625 -0.3854869008 -0.0037059779 0.1141105741 176.8 0.26047516E+00 -0.0054854099 0.3980038464 -0.3858740628 -0.0035180440 0.1190238446 176.9 0.26064631E+00 -0.0051831910 0.3977695704 -0.3862615526 -0.0033328207 0.1238696054 177.0 0.26081198E+00 -0.0048872028 0.3975427151 -0.3866486251 -0.0031505018 0.1286425740 177.1 0.26097229E+00 -0.0045976704 0.3973232508 -0.3870344758 -0.0029712841 0.1333374083 177.2 0.26112711E+00 -0.0043148119 0.3971112669 -0.3874182999 -0.0027953619 0.1379487962 177.3 0.26127651E+00 -0.0040388484 0.3969067335 -0.3877993822 -0.0026229303 0.1424714476 177.4 0.26142049E+00 -0.0037699998 0.3967095613 -0.3881769180 -0.0024541847 0.1469000280 177.5 0.26155901E+00 -0.0035084879 0.3965199292 -0.3885500729 -0.0022893208 0.1512291878 177.6 0.26169211E+00 -0.0032545333 0.3963376880 -0.3889181614 -0.0021285331 0.1554536819 177.7 0.26181978E+00 -0.0030083552 0.3961629272 -0.3892803490 -0.0019720169 0.1595681310 177.8 0.26194200E+00 -0.0027701750 0.3959955275 -0.3896358609 -0.0018199676 0.1635672450 177.9 0.26205879E+00 -0.0025402126 0.3958356082 -0.3899839222 -0.0016725797 0.1674457192 178.0 0.26217017E+00 -0.0023186896 0.3956831694 -0.3903237283 -0.0015300495 0.1711982191 178.1 0.26227611E+00 -0.0021058260 0.3955380619 -0.3906545937 -0.0013925713 0.1748194396 178.2 0.26237661E+00 -0.0019018415 0.3954004943 -0.3909756839 -0.0012603401 0.1783040613 178.3 0.26247168E+00 -0.0017069576 0.3952703774 -0.3912861943 -0.0011335517 0.1816467643 178.4 0.26256129E+00 -0.0015213958 0.3951475918 -0.3915853798 -0.0010124019 0.1848422140 178.5 0.26264548E+00 -0.0013453746 0.3950323462 -0.3918724656 -0.0008970846 0.1878851354 178.6 0.26272428E+00 -0.0011791154 0.3949245214 -0.3921465874 -0.0007877952 0.1907701939 178.7 0.26279759E+00 -0.0010228390 0.3948241174 -0.3924070895 -0.0006847294 0.1934920549 178.8 0.26286548E+00 -0.0008767645 0.3947311640 -0.3926531672 -0.0005880817 0.1960454285 178.9 0.26292795E+00 -0.0007411153 0.3946456313 -0.3928840160 -0.0004980481 0.1984249949 179.0 0.26298499E+00 -0.0006161095 0.3945675492 -0.3930988610 -0.0004148232 0.2006254345 179.1 0.26303655E+00 -0.0005019684 0.3944969177 -0.3932968974 -0.0003386022 0.2026413977 179.2 0.26308274E+00 -0.0003989128 0.3944337070 -0.3934773803 -0.0002695807 0.2044676393 179.3 0.26312345E+00 -0.0003071628 0.3943779469 -0.3936395347 -0.0002079532 0.2060987949 179.4 0.26315874E+00 -0.0002269398 0.3943296373 -0.3937826157 -0.0001539161 0.2075295299 179.5 0.26318860E+00 -0.0001584622 0.3942887485 -0.3939057589 -0.0001076626 0.2087545991 179.6 0.26321304E+00 -0.0001019535 0.3942553103 -0.3940082490 -0.0000693900 0.2097685933 179.7 0.26323202E+00 -0.0000576319 0.3942292929 -0.3940892816 -0.0000392919 0.2105662823 179.8 0.26324558E+00 -0.0000257191 0.3942107260 -0.3941481113 -0.0000175644 0.2111423016 179.9 0.26325369E+00 -0.0000064343 0.3941996098 -0.3941839039 -0.0000044016 0.2114913464 180.0 0.26325640E+00 0.0000000000 0.3941959441 -0.3941959441 -0.0000000000 0.2116081119