4Misc_Start4Platform@ K  ROGIXX  RtA(winspoollf-hp31510.2.85.14:lf-hp315lf-hp315S 4dXXA4PRIVB0''''H<PP4(΍HSMTJ8HP LaserJet 4050 Series PSHPOrientRotate180FalsePostScriptCustomPageSizeFalseDuplexDuplexNoTumbleInputSlot*UseFormTrayTableHPDuplicateJobNameOverrideSWFWPageSizeA4PageRegionLeadingEdgeMediaTypeAutoCollateFalseOutputBinAutoStapleLocationNoneHPCoversOther_PagesTextAsBlackFalseJCLResolution600dpiHPConsumerCustomPaperTruePrintQualityGroupPQGroup_1JRHDInstalledJRHDOffHPDocPropResourceDataHPCabFileNameJRConstraintsJRCHDFullHPColorModeCOLOR_MODEHPPJLEncodingUTF8HPJobAccountingHPJOBACCT_JOBACNTHPBornOnDateHPBODHPXMLFileUsedhpmcpdps.xmlPSAlignmentFileHPZLSLHNHPSmartHubInet_SID_263_BID_514_HID_265HPColorAsGrayFalsePIUPHdA4 4 [e]e] [e]e]Microsoft YaHei UI6P d?LATOUR<ꁨR>R 44dIgor Pro(Wdk.eQev _n Ty-Igor64.exeF:\Program Files (x86)\WaveMetrics\Igor Pro Folder\Igor64.exe K  ROGIXX RtA(winspoollf-hp31510.2.85.14:lf-hp315lf-hp315S 4dXXA4PRIVB0''''H<PP4(΍HSMTJ8HP LaserJet 4050 Series PSHPOrientRotate180FalsePostScriptCustomPageSizeFalseDuplexDuplexNoTumbleInputSlot*UseFormTrayTableHPDuplicateJobNameOverrideSWFWPageSizeA4PageRegionLeadingEdgeMediaTypeAutoCollateFalseOutputBinAutoStapleLocationNoneHPCoversOther_PagesTextAsBlackFalseJCLResolution600dpiHPConsumerCustomPaperTruePrintQualityGroupPQGroup_1JRHDInstalledJRHDOffHPDocPropResourceDataHPCabFileNameJRConstraintsJRCHDFullHPColorModeCOLOR_MODEHPPJLEncodingUTF8HPJobAccountingHPJOBACCT_JOBACNTHPBornOnDateHPBODHPXMLFileUsedhpmcpdps.xmlPSAlignmentFileHPZLSLHNHPSmartHubInet_SID_263_BID_514_HID_265HPColorAsGrayFalsePIUPHdA4 4 [e]e] [e]e]Microsoft YaHei UI6P d?LATOUR<ꁨR>R 44dIgor Pro(Wdk.eQev _n Ty-Igor64.exeF:\Program Files (x86)\WaveMetrics\Igor Pro Folder\Igor64.exe K  ROGIXX  RtA(winspoollf-hp31510.2.85.14:lf-hp315lf-hp315S 4dXXA4PRIVB0''''H<PP4(΍HSMTJ8HP LaserJet 4050 Series PSHPOrientRotate180FalsePostScriptCustomPageSizeFalseDuplexDuplexNoTumbleInputSlot*UseFormTrayTableHPDuplicateJobNameOverrideSWFWPageSizeA4PageRegionLeadingEdgeMediaTypeAutoCollateFalseOutputBinAutoStapleLocationNoneHPCoversOther_PagesTextAsBlackFalseJCLResolution600dpiHPConsumerCustomPaperTruePrintQualityGroupPQGroup_1JRHDInstalledJRHDOffHPDocPropResourceDataHPCabFileNameJRConstraintsJRCHDFullHPColorModeCOLOR_MODEHPPJLEncodingUTF8HPJobAccountingHPJOBACCT_JOBACNTHPBornOnDateHPBODHPXMLFileUsedhpmcpdps.xmlPSAlignmentFileHPZLSLHNHPSmartHubInet_SID_263_BID_514_HID_265HPColorAsGrayFalsePIUPHdA4 4 [e]e] [e]e]Microsoft YaHei UI6P d?LATOUR<ꁨR>R 44dIgor Pro(Wdk.eQev _n Ty-Igor64.exeF:\Program Files (x86)\WaveMetrics\Igor Pro Folder\Igor64.exe K  ROGIXX  RtA(winspoollf-hp31510.2.85.14:lf-hp315lf-hp315S 4dXXA4PRIVB0''''H<PP4(΍HSMTJ8HP LaserJet 4050 Series PSHPOrientRotate180FalsePostScriptCustomPageSizeFalseDuplexDuplexNoTumbleInputSlot*UseFormTrayTableHPDuplicateJobNameOverrideSWFWPageSizeA4PageRegionLeadingEdgeMediaTypeAutoCollateFalseOutputBinAutoStapleLocationNoneHPCoversOther_PagesTextAsBlackFalseJCLResolution600dpiHPConsumerCustomPaperTruePrintQualityGroupPQGroup_1JRHDInstalledJRHDOffHPDocPropResourceDataHPCabFileNameJRConstraintsJRCHDFullHPColorModeCOLOR_MODEHPPJLEncodingUTF8HPJobAccountingHPJOBACCT_JOBACNTHPBornOnDateHPBODHPXMLFileUsedhpmcpdps.xmlPSAlignmentFileHPZLSLHNHPSmartHubInet_SID_263_BID_514_HID_265HPColorAsGrayFalsePIUPHdA4 4 [e]e] [e]e]Microsoft YaHei UI6P d?LATOUR<ꁨR>R 44dIgor Pro(Wdk.eQev _n Ty-Igor64.exeF:\Program Files (x86)\WaveMetrics\Igor Pro Folder\Igor64.exe^Graph*@@??WDashSettings#  !B6Normal@ <HHHH$$B6Normal@ <HHHH$$444444 C(6Normal@ <HHHH$$4 4 4 4 4 4 shome?7d5nC:Users:Captain:Desktop:C:Users:Captain:DesktopHDC@A@`sersRecentWindowsAnalysis.ihfHelp BrowserIgor Reference.ihfTable0:What's New In Igor Pro 6.1.ihfWM Procedures Index.ihfWMMenus.ipfXOP Index.ihf 4Misc_EndXOPState_Start`Data Browser64Gizmo64, nc PeakFunctions2-64 Data Browser64root4XOPState_End\* !."BW`Vh'BNNaw_matrix ????H?iK?|P?bS?_U?=W?\X?Y?Z?[?][?[?\?wM^?|I_?`?B c?c?_d?dd?Րe?Fg?Ch?v?Ɓv?Suv?9Sv?Ov?vFv?u;v?;v?Iv?9v?R2v?0v?3v?v?v?bu?@v? v?` v?*u?u?u?u?u? u?Мu?|u?xiu?w=u?iu?u?Bu?t?t?t?t?t?Gt?3t?'t?;t?!wt?Fit?At?bt?Xt?*ct?ct?lt?Vt?UHt?Ft?3t?P5t?t?9t?!t?"t?6t?at? t?- t?(t?s?Bs?s?^s?t?t?t?/t?5t?Qt?wHt?Kt?Rt?9t?Jt? 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Ac]?Oe?Ϡ?t&BDiODiO pw ????============='BDiODiO֥Rm_fit????V`Įhm'BDiODiOT_Constraints????K0>0K0<1K1>0K1<1K2>0K2<1K3>0K3<1K4>0K4<1K5>0K5<1K6>0K6<1K7>0K7<1K8>0K8<1K9>0K9<1K10>0K10<1K11>0K11<1K12>0K12<1  $(,048<@DHLPUZ_din*// Platform=WindowsNT, IGORVersion=6.372, architecture=Intel, systemTextEncoding="Windows-936", historyTextEncoding="Windows-936", procwinTextEncoding="Windows-936" Silent 101 // use | as bitwise or -- not comment. DefaultFont "Times New Roman" Table0() MoveWindow/P 444,67.25,1162.5,807.5 MoveWindow/C 321.75,534.5,1152.75,691.25 KillStrings/Z root:gWMSetNextTextFilesTextEncoding Window Table0() : Table PauseUpdate; Silent 1 // building window... Edit/W=(5.25,43.25,510,254) ModifyTable format=1 EndMacro #pragma rtGlobals=3 // Use modern global access method and strict wave access. // === modified version of auto endmembers =========== // for constant phase functions, single b,c: Pg(30)=0.81 Function unmixing(pw, yw, x_matrix):FitFunc wave pw // parameters, volume fractions wave yw // modeled REFF wave x_matrix // SSA duplicate/O yw, w_mix, Pg_mix matrixop w_mix=x_matrix x pw // matrix multiplication 421*13 x 13*1 Pg_mix=0.81 variable ii=30, ee=0 variable mu0 = cos(ii*pi/180) variable mu = cos(ee*pi/180) duplicate/O yw, Hmu, Hmu0, gma, r0 gma = sqrt(1-w_mix) r0 = (1-gma)/(1+gma) Hmu = 1/( 1-(1-gma)*mu*( r0+(1-0.5*r0-r0*mu)*ln((1+mu)/mu) ) ) // Hapke 1995 eq. 8.57 (Shuai use this expression) Hmu0 = 1/( 1-(1-gma)*mu0*( r0+(1-0.5*r0-r0*mu0)*ln((1+mu0)/mu0) ) ) yw = w_mix/4 * 1/(mu0+mu) * ( Pg_mix + Hmu*Hmu0 -1 ) // REFF end //-------- function Call_unmixing(Rs, w_matrix) wave Rs // measured spectrum wave w_matrix // SSA Matrix variable nr=dimsize(w_matrix, 0) // number of wavelengths variable nc=dimsize(w_matrix, 1) // number of endmembers print nr, nc make/O/N=(nc) pw // parameters pw=0.1 // setting initial values for the vol. fraction. make/O/N=(nr) Rm_fit make/O/T/N=(2*nc) T_Constraints variable i, j=0 for(i=0; i0" T_Constraints[j+1]="K"+num2str(i)+"<1" j+=2 endfor FuncFit/NTHR=0 Hapke_unmixing_matrix, pw, Rs/X=w_matrix/D=Rm_fit/C=T_Constraints wave r0, gma, Hmu0,Hmu, W_sigma killwaves r0, gma, Hmu0,Hmu, W_sigma end