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    [技术]Arizona眼睛模型 [复制链接]

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    离线infotek
     
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    只看楼主 倒序阅读 楼主  发表于: 2021-10-22
    简介 ID{Pzmt-  
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    人眼光学模型可用来设计眼科用设备,光学系统注定了要与人眼一起使用。本文演示了这样一个模型:Arizona眼睛模型,在Jim Schwiegerling教授的书中有详细描述:《Field Guide to Visual and Ophthalmic Optics》。AZ眼睛模型达到了基于平均临床数据所决定的轴上和轴外像差等级。FRED文件包含了此眼睛模型及几个用来分析它的光源,并包括一个基于想要的屈光度来调整模型的内嵌脚本。 H8=vQy  
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    模型 hz>yv@1  
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    模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 " N`V*0h  
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    Table 1. AZ眼睛模型的定义
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    在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. JXI+k.fi  
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    光源 dKN3ZCw*gF  
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    多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 XQ4^:3Yc  
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    图1. 光源和提示信息使用
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    除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 m%[2x#  
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    在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 *|.yX%"k  
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    图2. 字母F光源的设定方法光 UU:QK{{E  
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    图3. 字母F在视网膜上位置点列图
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    视网膜的散射 Kw5+4R(5  
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    在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 #\!hBL @b  
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    图4. 视网膜朗伯散射设定
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    注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 uBL~AC3>O  
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    图5. 视网膜重点采样规格设定
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    脚本 ~?8 x0  
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    内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: jJ{ w -$  
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    图6. 用户对话框的创建与编辑
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    图7. 用户对话框编辑器
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    如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 GT`<jzAiQ  
    余下的脚本计算与屈光度有关的所有参数。 7_d#XKz@  
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    分析 1_E3DXe  
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    屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 [8J}da}  
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    图7. 字母F在视网膜上颜色分析
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    脚本代码 $R#L@iL-  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. A,CPR0g%  
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    Dim entity As T_ENTITY EA{*%9 A  
    Dim op As T_OPERATION z(#hL-{c  
    Dim mat As T_MODELMATERIAL D@vvy6>~s  
    Dim A As Double W;@ae,^  
    Dim pupilDiam As Double vYm& AD  
    Dim eID As Long |h~/Zz=  
    Dim parID As Long Cot\i\]jv  
    Dim count As Integer L" ^366M!  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double (9q{J(44  
    Dim tlens As Double, nlens As Double YGO7lar  
    Dim curv As Double, conic As Double Ak-7}i  
    Dim ok As Long FoXQ]X7"  
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    Sub Main Y,Zv0-"  
    )PATz #  
        '用户输入对话框 ^E?V+3mV  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 %IXW|mi  
            TextBox 220,21,40,21,.TextBox1 'default: 0 V4i%|vV  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 {EHG |  
            OKButton 40,91,90,21 zMqEMx9  
            CancelButton 190,91,90,21 h}<ZZ  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 \osQwGPV  
            TextBox 220,49,40,21,.TextBox2 'default: 4 ?{P6AF-xcf  
        End Dialog =]mx"0i[  
        Dim dlg As UserDialog Y_YIJ@  
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        ok = Dialog (dlg) w=>mG-  
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        If ok=0 Then    'cancel button was pressed (eE}W~Z  
            Print "Execution cancelled." cZT.vA#  
            End /<(ik&%N  
        End If 1e| M6*  
    3NZFW{u  
        'Assign accommodation and pupil diameter & use defaults if field left empty xVX||rrh  
        If dlg.TextBox1 = "" Then Yf`.Cq_:  
            A = 0           'Default accommodation Afl'-  
        Else 9+Hb`  
            A = CDbl(dlg.TextBox1) _%%"Y}  
        End If Z_WTMs:x!  
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        If dlg.TextBox2 = "" Then Bzt`9lg  
            pupilDiam = 4   'Default pupil diameter (uc)^lfX  
        Else p+D 6Z'B  
            pupilDiam = CDbl(dlg.TextBox2) _VJwC|  
        End If { 4{{;   
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        Print " " Z*3}L  
        Print "Accommodation = " & A & " Diopters" ?^ 5*[H  
        Print "Pupil Diameter = " & pupilDiam & " mm" ?Gw89r  
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        ' Calculate new parameters with accommodation n{ WJ.Y*  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness / {~h?P}  
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        Rant = 12.0 - 0.4*A                     'Radius of anterior lens f+~!s 2uw  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens b u9&sQ;  
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        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens L4Y3\4xXO  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens X6 :~Rjim*  
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        tlens = 3.767 + 0.04*A                  'Lens thickness  kovzB]  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction 5)<jPyC  
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        'Adjust parameters to account for accommodation HNT8~s.2  
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        '************************************************************************* 7E)7sd  
        'Aqueous thickness (Position of Lens) +N_%|!F-c  
        '************************************************************************* H;&t"Ql.  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) e1Hx"7ew_  
        GetCustomElement eID, entity U8z"{  
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        parID = FindFullName( "Geometry.Arizona Eye" ) !WnI`  
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        ' Delete any shift(s) in z ]~ UkD*Ct  
        count = 0 B(dL`]@Xm  
        While GetOperationCount(eID)>count FR"^?z?}p  
            GetOperation eID, count, op KVy5/A/8c  
            If op.Type="ShiftZ" Then 5C?1`-&65V  
                DeleteOperation eID,count ir#^5e @  
                count=count-1 "r+<=JU>OV  
            End If h_!"CF <n  
            count=count+1 S}O\<6&  
        Wend czRh.kz,  
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        'Set new shift in  cf!R  
        op.Type = "ShiftZ" 4*W7{MPY  
        op.val1 = taq ztpb/9J9  
        op.parent = parID iKY&gnu"  
        AddOperation eID, op `I$A;OPK7  
        Print "Set aqueous humor thickness = " & taq-0.55 UC@"<$'C  
    (5_(s`q.  
        '************************************************************************* ~!kbB4`WK  
        'Radius and conic constant of anterior lens @eWx4bl  
        '************************************************************************* +Z*%,m=N(  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) tEs$+b  
        GetConic eID, entity, curv, conic ~]W8NaQB(  
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        SetConic eID, entity, 1/Rant, CCant p<e~x/@m*  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant m Y0C7i  
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        '************************************************************************* A>puk2s  
        'Radius and conic constant of posterior lens .YRSd  
        '************************************************************************* C-Z,L#  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) i$bBN$<b<  
        GetConic eID, entity, curv, conic y[rLk  
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        SetConic eID, entity, 1/Rpost, CCpost k~ue^^r}  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost %Z4=3?5B"9  
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        '************************************************************************* !A o?bs'  
        'Lens thickness (Position of posterior lens surface) !TF VBK  
        '************************************************************************* kn\>ZgU  
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        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) r "R\  
    x7?{*w&r  
        ' Delete any z-shift(s) sh1()vT  
        count = 0 8h97~$7)  
        While GetOperationCount(eID)>count :*1w;>o)n  
            GetOperation eID, count, op =F4}  
            If op.Type="ShiftZ" Then Cn<x  
                DeleteOperation eID,count Tx(R3B+u7  
                count=count-1 9D,& )6  
            End If hj4Rr(T  
            count=count+1 b}:Z(L,\  
        Wend |=POV]K  
    ./d (@@  
        'Set new z-shift YaU A}0cW  
        op.Type = "ShiftZ" XvdhPOMy  
        op.val1 = tlens zBbTj IFQ  
        op.parent = parID LHb{9x  
        AddOperation eID, op 6D],275`J  
        Print "Set lens thickness = " & tlens L;"<8\vWB  
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        '************************************************************************* ,o)MiR9-[A  
        'Lens index of refraction J*k4&l  
        '************************************************************************* Y"@kvd  
        eID = FindMaterial( "Lens" ) ect?9S[!y  
        GetModelMaterial eID, mat !Xm:$KH  
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        mat.Nd = nlens 5IMH G%W7  
        SetModelMaterial eID, mat d,77L  
        Print "Set lens index of refraction = " & nlens P*SXfb"HC  
     J{y@ O  
        '************************************************************************* /2:r}O  
        'Pupil diameter X$* 'D)  
        '************************************************************************* IQDWH/ c  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) #lO;G k{  
    g:Dg?_o  
        'Adjust pupil diameter (trimming volume inner hole) $sJn: 8z  
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        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" ?,j:Y0l.L  
    AOe~VW  
        ' Adjust pupil location to just in front of the lens <da! #12L  
        parID = FindFullName( "Geometry.Arizona Eye" ) Cv|:.y  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) (; "ICk&  
        count = 0 K  +~  
        While GetOperationCount(eID)>count J: LSGj;R  
            GetOperation eID, count, op JG[+e*8  
            If op.Type="ShiftZ" Then Q%7EC>V  
                DeleteOperation eID,count TDoYp  
                count=count-1 R/#*~tPi8  
            End If (\}IOCNS  
            count=count+1 Z|W=.RdA;  
        Wend x\jHk}Buj  
        op.Type = "ShiftZ" zE[c$KPP  
        op.val1 = taq-0.01 B;m18LDu  
        op.parent = parID 9hv\%_>o  
        AddOperation eID, op L,WK L.  
    bYtF#Y   
        Print "Set pupil diameter = " & pupilDiam !rWib` %  
    z'fS%uI  
        'Update AZ Eye subassembly Description '/j`j>'!^  
        eID = FindFullName( "Geometry.Arizona Eye" ) :* 'i\  
        GetEntity eID, entity C?O{l%0  
        entity.Description = "Accommodation = " & A & "D" oI>;O#  
        SetEntity eID, entity !hq7R]TC+  
    sJr$[?  
        Update H.9J}k1S  
        Print "DONE!" Cpj_mMtu  
         x!< C0N>?z  
    End Sub "K8qmggTq  
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    如果屈光度是4,光瞳直径是4,则会输出如下数据: alG}Aw#gS  
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    Accommodation = 4 Diopters |9y &;3  
    Pupil Diameter = 4 mm ; etH)  
    Set aqueous humor thickness = 2.81 6?_Uow}  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 (~P&$$qfD  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 p])km%zB(  
    Set lens thickness = 3.927 L$b9|j7  
    Set lens index of refraction = 1.42672 t`LH\]6@  
    Set pupil diameter = 4 HZ|6&9we  
    DONE! !yxb<  
     
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