Hemispheric BRF theta= elevation angle, phi= azimuth angle (all angles in degrees) phi_source= 0 for all cases 632.8 nm unpolarized theta_source 8 BRF 0.991 Labsphere 0.983 % Diff -0.8% phi_r\theta_r 1 10 20 30 40 50 60 70 80 0 1.0443604 1.035336 1.0273898 1.0190818 0.9993947 0.983229 0.9555448 0.916659 0.8609977 10 1.0442959 1.0365399 1.028991 1.0192516 0.9973364 0.9810935 0.9568283 0.9215789 0.8644978 20 1.0447974 1.0398414 1.0299363 1.0143163 1.0021682 0.9869824 0.9582469 0.9253413 0.8787652 30 1.0447831 1.0450438 1.0300827 1.0191648 1.003538 0.9877889 0.9603273 0.9299669 0.882568 40 1.042762 1.043735 1.0278585 1.019762 1.0034947 0.9908473 0.9671671 0.9355121 0.8928114 50 1.0426329 1.0396032 1.0311794 1.0230694 1.0070472 0.992133 0.9693228 0.9386014 0.8914484 60 1.0444145 1.0392123 1.0305142 1.0203212 1.0080752 0.9922767 0.9742091 0.9478518 0.8998595 70 1.0435107 1.0381491 1.0290339 1.0193272 1.0091524 0.9947625 0.9759493 0.9505184 0.9050627 80 1.0430207 1.0369684 1.0315259 1.0217078 1.0097266 1.000140 0.9748185 0.9520484 0.9090811 90 1.0423337 1.0396805 1.0319772 1.0213395 1.0111439 0.9969591 0.9800177 0.9525498 0.9083922 100 1.0414864 1.0369327 1.0275266 1.0230186 1.0123607 0.9967307 0.9807691 0.9480735 0.9156462 110 1.044132 1.0358495 1.0275841 1.0205138 1.010447 0.9976795 0.9796872 0.9546123 0.9129441 120 1.0433435 1.0341434 1.0322609 1.023454 1.0113266 0.9990989 0.9791946 0.9581946 0.9068555 130 1.0418856 1.0373114 1.0306804 1.0243568 1.0116477 0.999020 0.9756769 0.947321 0.9062048 140 1.0404302 1.0383861 1.0307316 1.0204043 1.0112988 0.9992366 0.9786106 0.9496365 0.8980423 150 1.040154 1.0364466 1.0292289 1.0204339 1.007292 0.9954628 0.9733531 0.9440358 0.8908509 160 1.0398679 1.0313709 1.0282283 1.0184178 1.0085325 0.9952841 0.9726412 0.9408585 0.8932233 171 1.0412939 1.0333209 1.0265305 1.0180407 1.0056076 0.9898943 0.9667315 0.9396058 0.8783445 180 1.0401406 1.0343543 1.0244199 1.0150638 1.0034051 0.9897695 0.9658104 0.9280996 0.866948 theta_source 40 BRF 0.990 phi_r\theta_r 1 10 20 30 40 50 60 70 80 0 1.0005097 0.9987415 0.9959171 0.9958549 0.9840433 0.9590171 0.925006 0.886405 0.8397398 10 1.0008981 1.0003059 0.9945929 0.9950241 0.9896919 0.9597068 0.9300925 0.8932694 0.846781 20 1.001219 0.9995401 0.9959935 0.9927703 0.9832599 0.9614244 0.9334338 0.9007357 0.8560849 30 1.0025461 1.0000143 0.9967164 0.9892035 0.9799429 0.9643581 0.9400231 0.9118786 0.8651257 40 1.0021818 1.001676 0.9991599 0.990239 0.9799522 0.9666458 0.9459581 0.9197366 0.8814925 50 1.0040753 0.9994719 0.998167 0.9922312 0.9839998 0.9685857 0.9561806 0.9276729 0.8915989 60 1.003351 1.0024256 1.0009778 0.9932321 0.988847 0.9748062 0.9602776 0.9342688 0.9021715 70 1.0038351 1.0028212 1.0006465 0.9961174 0.9870932 0.9792868 0.9646696 0.9425848 0.916424 80 1.0034666 1.0068238 1.0023723 0.9965329 0.9932117 0.9842207 0.9739758 0.9544564 0.9222257 90 1.0024161 1.0044729 1.0060011 1.0016624 0.9947528 0.9895049 0.9782786 0.9664829 0.9345742 100 1.0055162 1.0037086 1.0051041 1.0018184 1.0046434 0.9971404 0.9883173 0.9691445 0.9481916 110 1.0044284 1.0057447 1.0083089 1.007339 1.0086457 1.0017465 0.9955614 0.9827719 0.9538917 120 1.0064632 1.0098352 1.0104607 1.0126336 1.0075194 1.0116255 1.0080711 0.9938382 0.9784519 130 1.0056834 1.0078472 1.0110002 1.0147305 1.0166588 1.0140548 1.0115089 1.0091609 0.9897389 140 1.0056105 1.0085378 1.0142713 1.0181516 1.0206881 1.0226028 1.0270867 1.0198523 1.0022615 150 1.0066957 1.0089154 1.0181612 1.0184517 1.0282378 1.0267947 1.0286722 1.0261824 1.0042013 160 1.0046458 1.0119973 1.0172613 1.0202436 1.0278287 1.0327964 1.0396321 1.0434417 1.0188968 171 1.0049509 1.0107312 1.0148101 1.0236038 1.0306661 1.0358114 1.0405962 1.0419426 1.0284996 180 1.005561 1.010421 1.0186977 1.0268064 1.0331123 1.0376006 1.0432699 1.0478735 1.0298483 theta_source 45 BRF 0.993 phi_r\theta_r 1 10 20 30 40 50 60 70 80 0 0.9994885 0.992574 0.9861135 0.9847928 0.9886828 0.9662842 0.9284186 0.8916194 0.8375235 10 0.9997579 0.9919657 0.9861741 0.9858331 0.9862734 0.9644967 0.9339737 0.9031398 0.8519245 20 0.9989473 0.9924706 0.9870074 0.9869017 0.9818544 0.9634998 0.9346861 0.9063214 0.8600068 30 0.9996986 0.9928141 0.9890883 0.9836971 0.9759483 0.9628832 0.9379901 0.9105037 0.8746153 40 0.9985713 0.9931363 0.9897432 0.9871062 0.975981 0.9623407 0.9433758 0.9181579 0.8824994 50 0.9991788 0.9931567 0.9913146 0.9861435 0.9800602 0.9675345 0.9513003 0.9224995 0.8974806 60 0.9979008 0.9963391 0.9929059 0.9878516 0.9830188 0.9714805 0.9554473 0.9375592 0.9124656 70 0.9972327 0.9940405 0.9922897 0.9917496 0.9866946 0.9779505 0.9635905 0.9507222 0.9194094 80 0.9970779 1.0004311 0.9936758 0.9935932 0.9895082 0.980864 0.9718391 0.9541733 0.9337772 90 0.9986618 0.9987364 0.9978701 0.9971461 0.9939383 0.9897424 0.9832585 0.9730687 0.9494599 100 0.9977024 1.0018835 0.9997637 1.0034001 1.0008934 1.0010469 0.9934433 0.9810466 0.9639885 110 0.9987203 1.0016656 1.0054071 1.0057541 1.0062681 1.0029573 1.0018309 0.9956824 0.9718134 120 0.9983871 1.0044723 1.0053993 1.0109723 1.0106583 1.0135839 1.0135607 1.008379 0.990483 130 1.0001161 1.0041777 1.007621 1.0158627 1.0179451 1.0234654 1.0240867 1.022092 1.0107642 140 1.0000257 1.0047715 1.0122519 1.0174071 1.0261157 1.0300369 1.0336764 1.0395725 1.0221912 150 0.9994721 1.0064716 1.0149891 1.0223448 1.028391 1.0394539 1.0476959 1.0480481 1.0496547 160 1.0003151 1.0051688 1.0135674 1.0233264 1.0361065 1.0453103 1.0569643 1.0692623 1.0739543 171 1.000284 1.0075487 1.0189174 1.0267184 1.0406613 1.054039 1.0674791 1.0834322 1.0886132 180 1.0004967 1.0031812 1.0166242 1.0268669 1.0426061 1.0590792 1.0700399 1.0911962 1.0995731 theta_source 50 BRF 0.983 phi_r\theta_r 1 10 20 30 40 50 60 70 80 0 0.9789253 0.9727442 0.9628084 0.9559412 0.9584217 0.9474115 0.9228225 0.8894395 0.8437522 10 0.9785801 0.9699947 0.9626142 0.9615837 0.9583604 0.9523017 0.924262 0.894827 0.8523579 20 0.9788625 0.9714599 0.9636749 0.9617667 0.9584972 0.9452699 0.9235361 0.8962121 0.858503 30 0.9799116 0.9711637 0.9664102 0.9629901 0.9518697 0.9433412 0.9253048 0.9010506 0.871494 40 0.9800535 0.9757749 0.9684809 0.9635161 0.9558746 0.9478579 0.9322161 0.9091601 0.8816442 50 0.9791111 0.9749866 0.9716294 0.9655529 0.9595711 0.9474455 0.9366683 0.9162959 0.8981262 60 0.9797378 0.9738424 0.9700676 0.9667501 0.9619572 0.9552779 0.9470526 0.9281555 0.9030119 70 0.9799441 0.9746904 0.9765325 0.9720294 0.9674337 0.9624858 0.9535474 0.9398462 0.9178079 80 0.9811786 0.9768909 0.9774749 0.9745135 0.9726396 0.9690985 0.9602495 0.9511538 0.9326775 90 0.9809861 0.9806024 0.9787694 0.9791913 0.9789682 0.9780436 0.9741185 0.963296 0.9516404 100 0.9807287 0.9810618 0.9837199 0.9833874 0.9857607 0.9873209 0.9845302 0.9758368 0.9629757 110 0.9791617 0.9818234 0.9867401 0.9900376 0.9945951 0.9951587 0.9977236 0.9962488 0.9848421 120 0.9794239 0.983219 0.9885025 0.9938766 0.9980088 1.0034086 1.0093553 1.0093815 1.0045681 130 0.9802113 0.9839259 0.9911989 0.9994212 1.0084127 1.0149722 1.0207825 1.0317479 1.0240271 140 0.9799041 0.9875754 0.9958868 1.004653 1.0144742 1.0267723 1.039080 1.0517776 1.0550356 150 0.979753 0.9870057 0.9989614 1.0084071 1.0203761 1.0362391 1.054318 1.0717666 1.0878321 160 0.9800742 0.9864097 1.0024755 1.016464 1.0268631 1.0484579 1.0680674 1.094489 1.1224039 171 0.9801881 0.9883475 0.9986702 1.0180205 1.0350788 1.0583839 1.0864143 1.1197743 1.1596047 180 0.9801762 0.9879321 1.0005232 1.0154988 1.035149 1.064163 1.0947921 1.1401818 1.1847687 theta_source 55 BRF 0.990 phi_r\theta_r 1 10 20 30 40 50 60 70 80 0 0.972168 0.966819 0.960967 0.954724 0.951119 0.961685 0.931290 0.892202 0.850568 10 0.974814 0.964717 0.960024 0.954380 0.954553 0.953881 0.929636 0.899743 0.859856 20 0.974064 0.966921 0.959054 0.957558 0.952702 0.947581 0.931319 0.900480 0.869863 30 0.972757 0.966956 0.963045 0.957110 0.954113 0.946363 0.934475 0.904910 0.876991 40 0.973675 0.970553 0.965500 0.959626 0.954678 0.947211 0.935652 0.915206 0.889742 50 0.972587 0.971638 0.965541 0.961300 0.958484 0.951667 0.939566 0.924394 0.908227 60 0.973779 0.968806 0.967790 0.965898 0.961292 0.956020 0.948617 0.937540 0.91946 70 0.973358 0.972475 0.969632 0.969578 0.963795 0.959618 0.954033 0.946174 0.931065 80 0.974269 0.974431 0.972527 0.975282 0.972242 0.968920 0.967091 0.959599 0.946975 90 0.972546 0.975634 0.977528 0.976535 0.979995 0.977093 0.976483 0.972703 0.972444 100 0.973418 0.974278 0.981194 0.982390 0.985184 0.986789 0.991898 0.989421 0.985776 110 0.973433 0.976451 0.984963 0.986747 0.992697 0.999582 1.008620 1.009240 1.00887 120 0.973563 0.978867 0.988908 0.996547 1.001810 1.011260 1.023340 1.033520 1.03556 130 0.974603 0.981692 0.990459 1.001170 1.012740 1.023750 1.035090 1.054010 1.07042 140 0.975219 0.982825 0.992556 1.007470 1.019990 1.036350 1.060010 1.081610 1.1048 150 0.975964 0.984298 0.997523 1.012540 1.029140 1.050260 1.076200 1.110980 1.1513 160 0.975979 0.983984 0.998774 1.014770 1.036270 1.064370 1.096180 1.142420 1.20011 171 0.975546 0.982605 1.000810 1.019020 1.047300 1.078500 1.125600 1.180280 1.26109 180 0.975976 0.985023 1.002090 1.021310 1.050140 1.093340 1.140280 1.213640 1.32547