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    [转载]FRED运用:Arizona眼睛模型 [复制链接]

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    离线xunjigd
     
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    只看楼主 倒序阅读 楼主  发表于: 2016-02-24
    简介 A4]s~Ur  
    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。 -^ C=]Medl  
    Qr$;AZ G  
    模型 H Tz  
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    模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 bk\yCt06y;  
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    Table 1. AZ眼睛模型的定义
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    在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. Zw~+Pb  
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    光源 5Fz.Y}  
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    多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 dzkw$m^@^  
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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。 \~5C7^_  
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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。 +EAT:,  
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    图2. 字母F光源的设定方法光 !S_^94b@  
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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 Dxk+P!!K  
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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。 <2nZ&M4/s{  
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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。 [S@}T zE  
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    图5. 视网膜重点采样规格设定
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    脚本 ~M(5Ho  
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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: yu;SH[{Wi  
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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。 E[^ {w  
    余下的脚本计算与屈光度有关的所有参数。 gp-T"l  
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    分析 UG<79"\i  
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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。  PTS]7  
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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 L.=w?%:H=  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. q SejLh6  
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    Dim entity As T_ENTITY 8#&q$kE  
    Dim op As T_OPERATION 1LY8Ma]E  
    Dim mat As T_MODELMATERIAL WW@d:R  
    Dim A As Double l)-Mq@V  
    Dim pupilDiam As Double :>81BuMvg  
    Dim eID As Long H-p;6C<  
    Dim parID As Long h},oF!,  
    Dim count As Integer _e7-zg$/  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double ')N{wSM9Ft  
    Dim tlens As Double, nlens As Double `.2h jO  
    Dim curv As Double, conic As Double O0PJ6:9P  
    Dim ok As Long jp+_@S>  
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    Sub Main :ZDMNhUl &  
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        '用户输入对话框 "+uNmUUnm  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 TH&qX  
            TextBox 220,21,40,21,.TextBox1 'default: 0 DS xUdEK6  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 "3F;cCDv]  
            OKButton 40,91,90,21 }Up.){.%  
            CancelButton 190,91,90,21 g`>og^7g  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 ! <WBCclX  
            TextBox 220,49,40,21,.TextBox2 'default: 4 |/ }\6L]  
        End Dialog 1h7+@#<:a  
        Dim dlg As UserDialog 9GdB#k6W`  
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        ok = Dialog (dlg) j( #%tIv  
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        If ok=0 Then    'cancel button was pressed ejXMKPE;  
            Print "Execution cancelled." aTzDew  
            End gLsU:aeCT  
        End If [\Qr. 2  
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        'Assign accommodation and pupil diameter & use defaults if field left empty g-vg6@6  
        If dlg.TextBox1 = "" Then $t-n'Qh^2  
            A = 0           'Default accommodation S. |FL%;  
        Else j'p1q  
            A = CDbl(dlg.TextBox1) (.3'=n|kE  
        End If MEiRj]t  
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        If dlg.TextBox2 = "" Then !q"CV  
            pupilDiam = 4   'Default pupil diameter @$eT~ C  
        Else [hRU&z;W  
            pupilDiam = CDbl(dlg.TextBox2) Vc3mp;6"  
        End If y/c%+ Ca/  
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        Print " " rp7W }P+uU  
        Print "Accommodation = " & A & " Diopters" XUV!C 7  
        Print "Pupil Diameter = " & pupilDiam & " mm" gBk5wk_j|  
    <f~Fl^^8  
        ' Calculate new parameters with accommodation VK3it3FI>3  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness kJ)gP2E  
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        Rant = 12.0 - 0.4*A                     'Radius of anterior lens "'Z- UV  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens nkeI60  
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        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens ]|:uU  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens =sOo:s  
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        tlens = 3.767 + 0.04*A                  'Lens thickness 9j|gdfb%ml  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction \0FT!} L  
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        'Adjust parameters to account for accommodation 'q%%m/,VPQ  
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        '************************************************************************* F:37MUQi  
        'Aqueous thickness (Position of Lens) BC\S/5~k  
        '************************************************************************* gd^Js 1Z  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) X21dX`eMN  
        GetCustomElement eID, entity s.jO<{  
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        parID = FindFullName( "Geometry.Arizona Eye" ) 7uI#L}y  
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        ' Delete any shift(s) in z PQj<[rY  
        count = 0 #%S0PL"x U  
        While GetOperationCount(eID)>count PoD^`()FR{  
            GetOperation eID, count, op QYThW7S  
            If op.Type="ShiftZ" Then 3 EYiQ`  
                DeleteOperation eID,count (%< 'A  
                count=count-1 FEm=w2  
            End If ^lO76Dz~a  
            count=count+1 So4nJ><p  
        Wend ulXnq`  
    E(L<L1:"  
        'Set new shift in &:#m&,tQ  
        op.Type = "ShiftZ" ;6DnId2Zh  
        op.val1 = taq WtX>Qu|  
        op.parent = parID &/ ouW'oP  
        AddOperation eID, op NW.XA! =E)  
        Print "Set aqueous humor thickness = " & taq-0.55 #o[\Dwu  
    %%g-GyP 1  
        '************************************************************************* h[=nx^  
        'Radius and conic constant of anterior lens YL5>V$i  
        '************************************************************************* .RRlUWu  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) p#H]\ P'  
        GetConic eID, entity, curv, conic 68 x}w Ae  
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        SetConic eID, entity, 1/Rant, CCant uu}-"/<~7  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant YBSl-G'  
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        '************************************************************************* \{PNwF?  
        'Radius and conic constant of posterior lens +8^_D?*\n  
        '************************************************************************* C{Blqf3V0  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) <TjBd1  
        GetConic eID, entity, curv, conic 5N1 K~".  
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        SetConic eID, entity, 1/Rpost, CCpost $A?}a  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost /4C`k=>  
    dERc}oAh(  
        '************************************************************************* 4r*Pa(;y  
        'Lens thickness (Position of posterior lens surface) oCJbkt=  
        '************************************************************************* }aZr ou3E  
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        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) )vHi|~(   
    B| Q6!  
        ' Delete any z-shift(s) %CT!$Y'n  
        count = 0 ]p$zvMf}  
        While GetOperationCount(eID)>count $Sb@zLi)  
            GetOperation eID, count, op :QKb#4/8;  
            If op.Type="ShiftZ" Then l10-XU02  
                DeleteOperation eID,count uL>:tb  
                count=count-1 nW&$~d  
            End If ve%l({  
            count=count+1 m"-G6BKS  
        Wend r~[B _f!  
    r{V.jZ%p'Z  
        'Set new z-shift U_*3>Q  
        op.Type = "ShiftZ" lJj&kVHb  
        op.val1 = tlens 1NGyaI  
        op.parent = parID ITn;m  
        AddOperation eID, op _m7c o :  
        Print "Set lens thickness = " & tlens 6UI>GQ  
    LR\zy8y]  
        '************************************************************************* ZeTL$E[E}  
        'Lens index of refraction ` @>ZGL:  
        '************************************************************************* 3k{c$x}  
        eID = FindMaterial( "Lens" ) @Mr}6x*  
        GetModelMaterial eID, mat ^;64!BaK  
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        mat.Nd = nlens \-G5l+!  
        SetModelMaterial eID, mat TF)8qHy! u  
        Print "Set lens index of refraction = " & nlens t 2G1[j!  
    >D3z V.R  
        '************************************************************************* @tQ2E}psP,  
        'Pupil diameter *2#FRA#q  
        '************************************************************************* '^B3pR:  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) \6LcVik  
    CLktNR(45  
        'Adjust pupil diameter (trimming volume inner hole) M1gP R  
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        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" sZEgsrJh  
    ^#7viZ*  
        ' Adjust pupil location to just in front of the lens {DS\!0T-X  
        parID = FindFullName( "Geometry.Arizona Eye" ) L"9 Gc  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) ,W8au"  
        count = 0 ,0.|P`|w  
        While GetOperationCount(eID)>count ' XEK&Yi1  
            GetOperation eID, count, op aa!a&L|!  
            If op.Type="ShiftZ" Then s79 q 5  
                DeleteOperation eID,count -sx-7LKi  
                count=count-1 [[&)cbv  
            End If _&K\D p&@  
            count=count+1 "& Ff[ O*  
        Wend Lv^a+'  
        op.Type = "ShiftZ" 9Yd-m  
        op.val1 = taq-0.01 R;.d/U|av  
        op.parent = parID 6_Fpca3L  
        AddOperation eID, op Q+HZ?V(  
    pNBa.4z:  
        Print "Set pupil diameter = " & pupilDiam wYa0hNd  
    tw]/,>\G  
        'Update AZ Eye subassembly Description i@Vs4E[b  
        eID = FindFullName( "Geometry.Arizona Eye" ) |O%:P}6c  
        GetEntity eID, entity OM1*Iy  
        entity.Description = "Accommodation = " & A & "D" 17|@f  
        SetEntity eID, entity sb`&bA;i  
    /!:L7@BZ  
        Update vs+ We*8H  
        Print "DONE!" >QA/Mi~R  
         2(hvv-  
    End Sub KxGKA  
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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: uSH> $;a  
    5FZ47m ~{Z  
    Accommodation = 4 Diopters bx;yHIRb  
    Pupil Diameter = 4 mm >7"$}5d  
    Set aqueous humor thickness = 2.81 G OH  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 /*AJ+K._  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 VjC*(6<Gj  
    Set lens thickness = 3.927 Oi6f8*,  
    Set lens index of refraction = 1.42672 7s0)3HR}  
    Set pupil diameter = 4 OiYNH~hv  
    DONE! mJSK; @w<O  
    E(7@'d{o  
    (文章来源:讯技光电)
     
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