Simulation of photon propagation for LASPD. eff: efficiency takes into account reflection loss only L: average length(mm) travelled by the photon before reaching the outer arc; ref: average reflection# [r1(mm), r2(mm)] different radius range: c (mm): different thickness. _____________________________________________________ c=5 r1 r2 eff L ref 830 860 0.145740 788.225233 54.965692 860 890 0.155160 780.952391 54.465971 890 920 0.161480 764.578192 53.588370 920 950 0.168990 743.734043 52.553820 950 980 0.175610 720.445792 50.841581 980 1010 0.181250 696.281652 49.461186 1010 1040 0.187280 667.909898 47.406183 1040 1070 0.193330 640.089341 45.635959 1070 1100 0.198570 607.356027 43.719293 1100 1130 0.206060 575.355829 41.604144 1130 1160 0.212390 540.505421 39.252931 1160 1190 0.220630 513.881538 37.528079 1190 1220 0.229730 475.526090 35.079136 1220 1250 0.242140 436.113563 32.071942 1250 1280 0.254190 395.191535 29.431882 1280 1310 0.270190 348.008359 26.334061 1310 1340 0.293240 297.660856 22.827854 1340 1370 0.327970 239.041660 18.439095 1370 1400 0.417370 152.600321 11.733115 _____________________________________________________ _____________________________________________________ c=10 r1 r2 eff L ref 830 860 0.196240 820.262454 34.500000 860 890 0.208690 817.780627 34.642005 890 920 0.214150 802.296439 34.227271 920 950 0.222590 785.941686 33.671054 950 980 0.225990 764.931238 33.014027 980 1010 0.234090 744.268422 32.239096 1010 1040 0.241060 722.650776 31.426906 1040 1070 0.248120 690.720854 30.162502 1070 1100 0.253710 666.232769 29.216625 1100 1130 0.260750 630.168674 27.747804 1130 1160 0.268260 599.749842 26.658801 1160 1190 0.275680 565.218221 25.369704 1190 1220 0.287400 531.674286 23.976096 1220 1250 0.297820 494.125255 22.428984 1250 1280 0.312830 453.653284 20.812774 1280 1310 0.331700 408.546993 18.979711 1310 1340 0.354780 358.977062 16.950702 1340 1370 0.396290 291.838242 14.090136 1370 1400 0.472250 201.318836 9.588692 _____________________________________________________ _____________________________________________________ c=15 r1 r2 eff L ref 830 860 0.217770 838.932323 26.323277 860 890 0.230570 835.734127 26.288069 890 920 0.241530 823.048044 26.107523 920 950 0.249990 808.573737 25.799512 950 980 0.258270 784.920602 25.115306 980 1010 0.264680 768.502452 24.856959 1010 1040 0.273420 743.353300 24.251079 1040 1070 0.277340 717.372146 23.575539 1070 1100 0.283530 692.686366 22.790710 1100 1130 0.290920 664.371431 22.026330 1130 1160 0.298580 632.604749 21.156039 1160 1190 0.309870 599.615481 20.264498 1190 1220 0.322090 561.259226 19.149213 1220 1250 0.335300 523.687348 18.173427 1250 1280 0.349610 481.385914 16.857556 1280 1310 0.369160 436.894899 15.434229 1310 1340 0.394150 386.749119 13.843105 1340 1370 0.434620 319.317843 11.552345 1370 1400 0.504790 230.269758 8.267636 _____________________________________________________ _____________________________________________________ c=20 r1 r2 eff L ref 830 860 0.232690 849.813391 21.675362 860 890 0.249160 848.413293 21.875702 890 920 0.260400 842.269940 21.954032 920 950 0.267110 824.742723 21.680843 950 980 0.275530 806.388693 21.316517 980 1010 0.281440 783.446382 20.800313 1010 1040 0.290860 762.475363 20.511552 1040 1070 0.297250 737.443136 19.901665 1070 1100 0.304710 713.132750 19.409504 1100 1130 0.315520 681.921842 18.672319 1130 1160 0.323770 649.412922 17.993329 1160 1190 0.333170 620.074930 17.375544 1190 1220 0.347020 585.244963 16.470809 1220 1250 0.360390 546.375881 15.547795 1250 1280 0.374280 499.579509 14.352891 1280 1310 0.396170 460.727294 13.435520 1310 1340 0.421470 400.517590 11.793603 1340 1370 0.458610 342.153027 10.206755 1370 1400 0.525070 253.819573 7.442246 _____________________________________________________ _____________________________________________________ c=25 r1 r2 eff L ref 830 860 0.246530 865.425784 19.006733 860 890 0.263770 864.825104 19.229746 890 920 0.272930 856.270053 19.248232 920 950 0.283220 843.756088 19.150201 950 980 0.291420 823.779591 18.811612 980 1010 0.298690 801.615858 18.471492 1010 1040 0.308160 777.017684 18.040953 1040 1070 0.316560 753.547773 17.610121 1070 1100 0.324990 731.144374 17.274747 1100 1130 0.333570 703.961067 16.779267 1130 1160 0.342950 669.135830 16.069748 1160 1190 0.354960 637.879536 15.445149 1190 1220 0.366440 604.610682 14.789515 1220 1250 0.378160 563.811319 13.901312 1250 1280 0.397040 527.602778 13.143210 1280 1310 0.419600 476.859382 11.975572 1310 1340 0.440860 425.226776 10.812072 1340 1370 0.479390 352.713853 9.025971 1370 1400 0.540460 263.585663 6.623561 _____________________________________________________ _____________________________________________________ c=30 r1 r2 eff L ref 830 860 0.258380 880.641848 17.220760 860 890 0.274280 879.980210 17.378919 890 920 0.285150 874.842251 17.598773 920 950 0.297570 856.967997 17.306819 950 980 0.305360 836.205738 16.960669 980 1010 0.315140 818.424651 16.763280 1010 1040 0.323140 793.547921 16.413257 1040 1070 0.330930 772.823480 16.076663 1070 1100 0.339960 746.756366 15.711319 1100 1130 0.349770 720.103311 15.236127 1130 1160 0.362310 685.180545 14.659214 1160 1190 0.368880 652.206950 14.050802 1190 1220 0.382370 615.524878 13.353793 1220 1250 0.395980 582.203566 12.814233 1250 1280 0.411140 538.844484 11.935691 1280 1310 0.433280 490.377852 10.897226 1310 1340 0.459490 434.438693 9.771007 1340 1370 0.491510 365.782588 8.280137 1370 1400 0.552150 276.842221 6.170678 _____________________________________________________ _____________________________________________________ c=35 r1 r2 eff L ref 830 860 0.268400 894.923695 15.868703 860 890 0.286780 895.455088 16.140944 890 920 0.298480 884.153922 16.069653 920 950 0.307970 869.821598 15.992272 950 980 0.316960 856.215226 15.901281 980 1010 0.323840 833.845404 15.600389 1010 1040 0.336670 814.119448 15.373868 1040 1070 0.343450 789.937540 14.999068 1070 1100 0.353020 762.442680 14.586114 1100 1130 0.364700 732.332837 14.158898 1130 1160 0.372790 698.541235 13.536978 1160 1190 0.384860 670.496072 13.108039 1190 1220 0.394480 636.294040 12.550167 1220 1250 0.410850 594.672635 11.842376 1250 1280 0.428080 552.130372 11.044898 1280 1310 0.449540 504.977508 10.172421 1310 1340 0.470930 448.193338 9.085363 1340 1370 0.505480 378.734267 7.752572 1370 1400 0.558220 288.754530 5.833023 _____________________________________________________ _____________________________________________________ c=40 r1 r2 eff L ref 830 860 0.279970 911.389391 14.973711 860 890 0.294910 912.098203 15.203825 890 920 0.306320 903.182566 15.255974 920 950 0.317240 888.938898 15.151841 950 980 0.329110 873.193836 14.994683 980 1010 0.336060 851.797598 14.747069 1010 1040 0.346570 829.393455 14.468765 1040 1070 0.355710 802.871211 14.089342 1070 1100 0.364690 775.655466 13.734569 1100 1130 0.375770 749.023195 13.325864 1130 1160 0.384750 721.355813 12.922859 1160 1190 0.396610 687.895110 12.434356 1190 1220 0.407680 649.579702 11.810464 1220 1250 0.420970 605.603479 11.065230 1250 1280 0.440560 565.690956 10.426639 1280 1310 0.459970 515.818028 9.601931 1310 1340 0.483210 460.786009 8.626788 1340 1370 0.514930 392.303040 7.355505 1370 1400 0.566200 300.265617 5.590039 _____________________________________________________