SYNTHETIC SCATTERING MATRIX FOR OLIVINE S AT 442 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= = 0.6537596583 Angle Fau_11 -F12/F11 F22/F11 F33/F11 F34/F11 F44/F11 0.0 0.50949652E+03 0.0000000000 0.9396756887 0.9396756887 0.0000000000 0.8793513775 0.1 0.50636234E+03 0.0000025407 0.9396725893 0.9396393895 0.0000006603 0.8794431090 0.2 0.49741595E+03 0.0000100855 0.9396634102 0.9395320415 0.0000025873 0.8797140718 0.3 0.48296912E+03 0.0000225192 0.9396480322 0.9393558502 0.0000057000 0.8801581264 0.4 0.46400919E+03 0.0000397274 0.9396265149 0.9391130805 0.0000099178 0.8807693720 0.5 0.44154370E+03 0.0000615943 0.9395989180 0.9388059974 0.0000151597 0.8815416098 0.6 0.41663043E+03 0.0000880050 0.9395651221 0.9384369850 0.0000213449 0.8824688196 0.7 0.39035202E+03 0.0001188439 0.9395252466 0.9380080104 0.0000283925 0.8835446835 0.8 0.36359198E+03 0.0001539963 0.9394791722 0.9375215769 0.0000362217 0.8847633004 0.9 0.33704343E+03 0.0001933468 0.9394270778 0.9369798899 0.0000447516 0.8861185312 1.0 0.31141180E+03 0.0002367801 0.9393686652 0.9363851547 0.0000539014 0.8876042366 1.1 0.28700235E+03 0.0002841814 0.9393041730 0.9357395172 0.0000635901 0.8892142177 1.2 0.26415427E+03 0.0003354352 0.9392334819 0.9350455403 0.0000737371 0.8909425139 1.3 0.24305162E+03 0.0003904265 0.9391567707 0.9343051910 0.0000842613 0.8927831054 1.4 0.22366544E+03 0.0004490402 0.9390738606 0.9335207939 0.0000950820 0.8947297335 1.5 0.20603241E+03 0.0005111609 0.9389848113 0.9326947331 0.0001061183 0.8967763186 1.6 0.19008463E+03 0.0005766737 0.9388896227 0.9318292141 0.0001172894 0.8989167809 1.7 0.17571338E+03 0.0006454632 0.9387883544 0.9309263229 0.0001285144 0.9011450410 1.8 0.16279146E+03 0.0007174144 0.9386808276 0.9299885631 0.0001397124 0.9034551382 1.9 0.15121440E+03 0.0007924117 0.9385674000 0.9290179610 0.0001508025 0.9058405161 2.0 0.14083664E+03 0.0008703404 0.9384475350 0.9280169010 0.0001617041 0.9082956314 2.1 0.13152483E+03 0.0009510852 0.9383217692 0.9269877076 0.0001723361 0.9108140469 2.2 0.12317261E+03 0.0010345310 0.9381896257 0.9259325266 0.0001826178 0.9133897424 2.3 0.11565664E+03 0.0011205627 0.9380515814 0.9248535037 0.0001924683 0.9160166383 2.4 0.10889286E+03 0.0012090646 0.9379071593 0.9237531424 0.0002018067 0.9186885953 2.5 0.10278052E+03 0.0012999221 0.9377568364 0.9226335287 0.0002105522 0.9213995337 2.6 0.97250412E+02 0.0013930197 0.9376001358 0.9214969873 0.0002186239 0.9241434336 2.7 0.92231995E+02 0.0014882425 0.9374375343 0.9203457832 0.0002259410 0.9269139767 2.8 0.87669312E+02 0.0015854752 0.9372684956 0.9191821218 0.0002324227 0.9297052622 2.9 0.83508194E+02 0.0016846026 0.9370936155 0.9180082679 0.0002379880 0.9325112104 3.0 0.79702126E+02 0.0017855095 0.9369123578 0.9168264270 0.0002425561 0.9353255630 3.1 0.76211960E+02 0.0018880810 0.9367251992 0.9156389832 0.0002460463 0.9381422997 3.2 0.73003754E+02 0.0019922017 0.9365316629 0.9144481421 0.0002483775 0.9409553409 3.3 0.70046883E+02 0.0020977566 0.9363322258 0.9132561684 0.0002494690 0.9437585473 3.4 0.67316269E+02 0.0022046301 0.9361264110 0.9120652676 0.0002492399 0.9465458393 3.5 0.64789970E+02 0.0023127072 0.9359146357 0.9108776450 0.0002476094 0.9493111372 3.6 0.62447479E+02 0.0024218732 0.9356965423 0.9096957445 0.0002444967 0.9520483017 3.7 0.60271313E+02 0.0025320123 0.9354725480 0.9085216522 0.0002398207 0.9547512531 3.8 0.58244152E+02 0.0026430099 0.9352421165 0.9073576331 0.0002335008 0.9574138522 3.9 0.56349476E+02 0.0027547502 0.9350058436 0.9062060118 0.0002254561 0.9600300789 4.0 0.54573341E+02 0.0028671185 0.9347631931 0.9050689936 0.0002156057 0.9625937939 4.1 0.52899666E+02 0.0029799999 0.9345145226 0.9039489627 0.0002038686 0.9650987983 4.2 0.51316429E+02 0.0030932785 0.9342597723 0.9028480053 0.0001901643 0.9675391912 4.3 0.49810692E+02 0.0032068393 0.9339987636 0.9017684460 0.0001744116 0.9699087143 4.4 0.48371281E+02 0.0033205673 0.9337315559 0.9007125497 0.0001565300 0.9722012281 4.5 0.46989471E+02 0.0034343475 0.9334583879 0.8996824622 0.0001364382 0.9744108915 4.6 0.45659683E+02 0.0035480647 0.9331790209 0.8986806870 0.0001140558 0.9765313268 4.7 0.44376492E+02 0.0036616032 0.9328934550 0.8977092505 0.0000893016 0.9785565734 4.8 0.43137634E+02 0.0037748485 0.9326016903 0.8967704773 0.0000620950 0.9804805517 4.9 0.41942318E+02 0.0038876848 0.9323039651 0.8958666325 0.0000323550 0.9822970033 5.0 0.40789154E+02 0.0040000002 0.9319999814 0.8949999809 0.0000000000 0.9840000272 10.0 0.13407574E+02 0.0089999996 0.9129999876 0.8799999952 -0.0040000002 0.9729999900 15.0 0.66204286E+01 0.0130000003 0.8989999890 0.8619999886 -0.0089999996 0.9330000281 20.0 0.40212679E+01 0.0149999997 0.8880000114 0.8460000157 -0.0120000001 0.8840000033 25.0 0.27457907E+01 0.0160000008 0.8610000014 0.8209999800 -0.0120000001 0.8460000157 30.0 0.20086253E+01 0.0160000008 0.8389999866 0.7940000296 -0.0080000004 0.8009999990 35.0 0.15205295E+01 0.0160000008 0.8100000024 0.7770000100 -0.0010000000 0.7599999905 40.0 0.12031665E+01 0.0189999994 0.7799999714 0.7530000210 0.0070000002 0.7390000224 45.0 0.97619188E+00 0.0230000000 0.7630000114 0.7129999995 0.0160000008 0.7089999914 50.0 0.80947602E+00 0.0280000009 0.7369999886 0.6759999990 0.0260000005 0.6729999781 55.0 0.68895841E+00 0.0350000001 0.7049999833 0.6320000291 0.0379999988 0.6290000081 60.0 0.59455311E+00 0.0419999994 0.6650000215 0.5870000124 0.0489999987 0.5939999819 65.0 0.52425122E+00 0.0500000007 0.6330000162 0.5389999747 0.0619999990 0.5479999781 70.0 0.46800971E+00 0.0570000000 0.5939999819 0.4860000014 0.0719999969 0.5109999776 75.0 0.42582858E+00 0.0630000010 0.5569999814 0.4309999943 0.0799999982 0.4749999940 80.0 0.38967332E+00 0.0710000023 0.5210000277 0.3779999912 0.0939999968 0.4350000024 85.0 0.36155257E+00 0.0740000010 0.4860000014 0.3249999881 0.0979999974 0.3939999938 90.0 0.33945769E+00 0.0790000036 0.4539999962 0.2689999938 0.1040000021 0.3639999926 95.0 0.31937143E+00 0.0810000002 0.4239999950 0.2160000056 0.1059999987 0.3370000124 100.0 0.30330241E+00 0.0820000023 0.3939999938 0.1630000025 0.1089999974 0.2989999950 105.0 0.28924203E+00 0.0829999968 0.3689999878 0.1180000007 0.1089999974 0.2700000107 110.0 0.27719030E+00 0.0790000036 0.3449999988 0.0619999990 0.1099999994 0.2489999980 115.0 0.26714718E+00 0.0769999996 0.3289999962 0.0199999996 0.1049999967 0.2169999927 120.0 0.25911266E+00 0.0700000003 0.3089999855 -0.0250000004 0.1030000001 0.1879999936 125.0 0.25308681E+00 0.0630000010 0.3009999990 -0.0619999990 0.0949999988 0.1650000066 130.0 0.24706091E+00 0.0540000014 0.2910000086 -0.1059999987 0.0930000022 0.1389999986 135.0 0.24304366E+00 0.0419999994 0.2919999957 -0.1379999965 0.0829999968 0.1080000028 140.0 0.24304366E+00 0.0320000015 0.2989999950 -0.1729999930 0.0750000030 0.0839999989 145.0 0.24304366E+00 0.0149999997 0.3089999855 -0.1959999949 0.0659999996 0.0520000011 150.0 0.24103503E+00 0.0020000001 0.3219999969 -0.2269999981 0.0520000011 0.0199999996 155.0 0.24103503E+00 -0.0130000003 0.3409999907 -0.2460000068 0.0390000008 -0.0089999996 160.0 0.24304366E+00 -0.0260000005 0.3619999886 -0.2680000067 0.0219999999 -0.0410000011 165.0 0.24906953E+00 -0.0320000015 0.3799999952 -0.2989999950 0.0000000000 -0.0750000030 170.0 0.26513857E+00 -0.0250000004 0.3829999864 -0.3260000050 -0.0209999997 -0.0759999976 171.0 0.26915580E+00 -0.0209999997 0.3810000122 -0.3359999955 -0.0219999999 -0.0759999976 172.0 0.27518168E+00 -0.0179999992 0.3829999864 -0.3359999955 -0.0230000000 -0.0640000030 173.0 0.28120756E+00 -0.0160000008 0.3790000081 -0.3470000029 -0.0209999997 -0.0549999997 173.1 0.28176928E+00 -0.0157918017 0.3784385324 -0.3482655883 -0.0206900295 -0.0531885512 173.2 0.28232291E+00 -0.0155759957 0.3778851926 -0.3494732678 -0.0203721821 -0.0510692038 173.3 0.28286842E+00 -0.0153528862 0.3773398995 -0.3506241739 -0.0200468209 -0.0486516841 173.4 0.28340590E+00 -0.0151227871 0.3768026829 -0.3517195880 -0.0197143033 -0.0459458046 173.5 0.28393528E+00 -0.0148860067 0.3762735426 -0.3527605236 -0.0193749908 -0.0429612249 173.6 0.28445658E+00 -0.0146428561 0.3757525086 -0.3537482321 -0.0190292448 -0.0397077836 173.7 0.28496978E+00 -0.0143936416 0.3752395213 -0.3546838462 -0.0186774246 -0.0361951627 173.8 0.28547493E+00 -0.0141386772 0.3747346103 -0.3555685282 -0.0183198899 -0.0324331671 173.9 0.28597197E+00 -0.0138782691 0.3742378056 -0.3564034700 -0.0179570019 -0.0284315292 174.0 0.28646094E+00 -0.0136127276 0.3737490773 -0.3571897447 -0.0175891183 -0.0241999757 174.1 0.28694183E+00 -0.0133423647 0.3732683957 -0.3579285145 -0.0172166023 -0.0197483376 174.2 0.28741464E+00 -0.0130674876 0.3727958202 -0.3586210907 -0.0168398134 -0.0150862634 174.3 0.28787938E+00 -0.0127884094 0.3723313212 -0.3592684269 -0.0164591111 -0.0102235842 174.4 0.28833598E+00 -0.0125054345 0.3718748987 -0.3598718047 -0.0160748549 -0.0051699821 174.5 0.28878453E+00 -0.0122188767 0.3714265525 -0.3604323864 -0.0156874061 0.0000647269 174.6 0.28922501E+00 -0.0119290436 0.3709862828 -0.3609512746 -0.0152971242 0.0054708309 174.7 0.28965738E+00 -0.0116362469 0.3705540895 -0.3614296615 -0.0149043705 0.0110385399 174.8 0.29008168E+00 -0.0113407932 0.3701300025 -0.3618686795 -0.0145095028 0.0167581327 174.9 0.29049790E+00 -0.0110429954 0.3697139621 -0.3622695208 -0.0141128842 0.0226198584 175.0 0.29090607E+00 -0.0107431617 0.3693060577 -0.3626333177 -0.0137148732 0.0286139771 175.1 0.29130611E+00 -0.0104416013 0.3689061403 -0.3629612327 -0.0133158322 0.0347306803 175.2 0.29169807E+00 -0.0101386253 0.3685143590 -0.3632544577 -0.0129161179 0.0409602970 175.3 0.29208198E+00 -0.0098345429 0.3681306243 -0.3635140955 -0.0125160944 0.0472930074 175.4 0.29245779E+00 -0.0095296632 0.3677549958 -0.3637413681 -0.0121161174 0.0537190884 175.5 0.29282552E+00 -0.0092242947 0.3673874736 -0.3639373779 -0.0117165493 0.0602287799 175.6 0.29318514E+00 -0.0089187510 0.3670279682 -0.3641032875 -0.0113177523 0.0668123215 175.7 0.29353672E+00 -0.0086133368 0.3666765690 -0.3642402887 -0.0109200832 0.0734600052 175.8 0.29388019E+00 -0.0083083669 0.3663332462 -0.3643495440 -0.0105239060 0.0801620111 175.9 0.29421559E+00 -0.0080041476 0.3659979701 -0.3644321859 -0.0101295775 0.0869086683 176.0 0.29454291E+00 -0.0077009886 0.3656708598 -0.3644893765 -0.0097374581 0.0936901569 176.1 0.29486212E+00 -0.0073992014 0.3653517663 -0.3645222485 -0.0093479110 0.1004967541 176.2 0.29517329E+00 -0.0070990934 0.3650407791 -0.3645319641 -0.0089612920 0.1073186994 176.3 0.29547635E+00 -0.0068009770 0.3647378385 -0.3645198047 -0.0085779652 0.1141462550 176.4 0.29577133E+00 -0.0065051592 0.3644430041 -0.3644867837 -0.0081982883 0.1209696382 176.5 0.29605824E+00 -0.0062119528 0.3641562164 -0.3644340932 -0.0078226235 0.1277791560 176.6 0.29633704E+00 -0.0059216642 0.3638775349 -0.3643628955 -0.0074513294 0.1345649809 176.7 0.29660776E+00 -0.0056346045 0.3636069298 -0.3642743528 -0.0070847664 0.1413174123 176.8 0.29687041E+00 -0.0053510843 0.3633444011 -0.3641696870 -0.0067232959 0.1480266899 176.9 0.29712501E+00 -0.0050714123 0.3630899489 -0.3640499711 -0.0063672764 0.1546830833 177.0 0.29737151E+00 -0.0047958978 0.3628435731 -0.3639163971 -0.0060170693 0.1612767875 177.1 0.29760993E+00 -0.0045248512 0.3626053035 -0.3637700975 -0.0056730332 0.1677980870 177.2 0.29784018E+00 -0.0042585814 0.3623750806 -0.3636122644 -0.0053355312 0.1742372066 177.3 0.29806244E+00 -0.0039974004 0.3621529341 -0.3634440601 -0.0050049210 0.1805844158 177.4 0.29827660E+00 -0.0037416143 0.3619388938 -0.3632665873 -0.0046815639 0.1868299544 177.5 0.29848269E+00 -0.0034915351 0.3617328703 -0.3630810678 -0.0043658195 0.1929640770 177.6 0.29868066E+00 -0.0032474727 0.3615350425 -0.3628886342 -0.0040580481 0.1989770532 177.7 0.29887059E+00 -0.0030097358 0.3613451719 -0.3626904786 -0.0037586109 0.2048590630 177.8 0.29905242E+00 -0.0027786340 0.3611634374 -0.3624877036 -0.0034678662 0.2106004357 177.9 0.29922616E+00 -0.0025544784 0.3609897792 -0.3622815013 -0.0031861763 0.2161913514 178.0 0.29939178E+00 -0.0023375775 0.3608241975 -0.3620730042 -0.0029138997 0.2216220796 178.1 0.29954940E+00 -0.0021282402 0.3606666923 -0.3618633449 -0.0026513967 0.2268829197 178.2 0.29969886E+00 -0.0019267781 0.3605172634 -0.3616537750 -0.0023990290 0.2319640368 178.3 0.29984030E+00 -0.0017335000 0.3603759110 -0.3614454567 -0.0021571566 0.2368557453 178.4 0.29997361E+00 -0.0015487149 0.3602426648 -0.3612394035 -0.0019261374 0.2415482700 178.5 0.30009887E+00 -0.0013727339 0.3601174653 -0.3610369563 -0.0017063336 0.2460318208 178.6 0.30021602E+00 -0.0012058651 0.3600003719 -0.3608390987 -0.0014981045 0.2502967119 178.7 0.30032510E+00 -0.0010484185 0.3598913252 -0.3606471121 -0.0013018104 0.2543331683 178.8 0.30042607E+00 -0.0009007057 0.3597903848 -0.3604621291 -0.0011178134 0.2581314147 178.9 0.30051902E+00 -0.0007630335 0.3596974909 -0.3602852523 -0.0009464701 0.2616817653 179.0 0.30060390E+00 -0.0006357152 0.3596127033 -0.3601177037 -0.0007881450 0.2649743557 179.1 0.30068061E+00 -0.0005190574 0.3595359921 -0.3599606454 -0.0006431949 0.2679995000 179.2 0.30074930E+00 -0.0004133704 0.3594673574 -0.3598151505 -0.0005119808 0.2707474530 179.3 0.30080986E+00 -0.0003189641 0.3594067991 -0.3596825004 -0.0003948638 0.2732084692 179.4 0.30086234E+00 -0.0002361489 0.3593543172 -0.3595637977 -0.0002922030 0.2753728032 179.5 0.30090681E+00 -0.0001652332 0.3593099117 -0.3594601750 -0.0002043586 0.2772306800 179.6 0.30094311E+00 -0.0001065282 0.3592736125 -0.3593727946 -0.0001316922 0.2787722647 179.7 0.30097139E+00 -0.0000603428 0.3592453599 -0.3593028784 -0.0000745630 0.2799879611 179.8 0.30099156E+00 -0.0000269868 0.3592251837 -0.3592514992 -0.0000333315 0.2808679342 179.9 0.30100366E+00 -0.0000067690 0.3592131138 -0.3592198789 -0.0000083567 0.2814024687 180.0 0.30100766E+00 0.0000000000 0.3592091203 -0.3592091203 0.0000000000 0.2815817297