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    [分享]Arizona眼睛模型 [复制链接]

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    只看楼主 倒序阅读 楼主  发表于: 2020-12-09
    简介 *1EmK.-'u  
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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。 Jpduk&u  
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    模型 / ]8e[t>!f  
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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。 +r!NR?^m  
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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. \=WPJm`p  
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    光源 8p 4[:M@  
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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。 z@VL?A(3  
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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。 In1{&sS  
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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。 kFE9}0-   
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    图2. 字母F光源的设定方法光 Rf0so   
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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 >0@w"aKn  
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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。 DU6j0lz  
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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。 [KR%8[e  
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    图5. 视网膜重点采样规格设定
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    脚本 C')KZ|JIC  
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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: lt-3OcC  
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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。 $B?8\>_?  
    余下的脚本计算与屈光度有关的所有参数。 %ud-3u52M8  
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    分析 }IWt\a<d  
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    屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 Wi=zu[[qc  
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    图7. 字母F在视网膜上颜色分析
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    脚本代码 Vj4 h#NN$  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. Jvc<j:{^w  
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    Dim entity As T_ENTITY Psf'^42(v  
    Dim op As T_OPERATION #C } +  
    Dim mat As T_MODELMATERIAL 3:Nc`tM_  
    Dim A As Double e 1XKlgl  
    Dim pupilDiam As Double ;+ C$EJw-  
    Dim eID As Long |_ED*ATR=  
    Dim parID As Long 7~J>Ga  
    Dim count As Integer -3yK>\y=|  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double y@v)kN)Y9\  
    Dim tlens As Double, nlens As Double @8{8|P  
    Dim curv As Double, conic As Double >{ {ds--  
    Dim ok As Long fsPsP`|  
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    Sub Main `W}pA mhj  
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        '用户输入对话框 BegO\0%+  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 oJNQdW[  
            TextBox 220,21,40,21,.TextBox1 'default: 0 :Ni#XZ{F-/  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 #y:F3$c  
            OKButton 40,91,90,21 !X: TieyVu  
            CancelButton 190,91,90,21 >'Lkn2WI  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 p4IyKry,  
            TextBox 220,49,40,21,.TextBox2 'default: 4 Cxq |N]E  
        End Dialog + a*Ic8*  
        Dim dlg As UserDialog z59;Qk  
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        ok = Dialog (dlg) 6 8n ;#-X  
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        If ok=0 Then    'cancel button was pressed #Tzs9Bkaca  
            Print "Execution cancelled." jNx{*2._r  
            End 6<@+J  
        End If %6@)fRw  
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        'Assign accommodation and pupil diameter & use defaults if field left empty =D0d+b6  
        If dlg.TextBox1 = "" Then pjS##pgVq  
            A = 0           'Default accommodation v&G9HiH  
        Else &a'mG=(K_c  
            A = CDbl(dlg.TextBox1) CvRCcSJM\2  
        End If l'[;q '  
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        If dlg.TextBox2 = "" Then p @q20>^u  
            pupilDiam = 4   'Default pupil diameter \i[N ";K  
        Else UVLS?1ra  
            pupilDiam = CDbl(dlg.TextBox2)  nm`( ;<W  
        End If wQ+i l6  
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        Print " " sF)$<[w  
        Print "Accommodation = " & A & " Diopters" |1 qrU(  
        Print "Pupil Diameter = " & pupilDiam & " mm" ?uc]Wgw"s  
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        ' Calculate new parameters with accommodation :9L}jz  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness J ?aJa  
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        Rant = 12.0 - 0.4*A                     'Radius of anterior lens c{to9Lk.#  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens mpD.x5jm<  
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        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens &FRf-6/  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens U~sC%Ri-@U  
    !7~4`D c6U  
        tlens = 3.767 + 0.04*A                  'Lens thickness c99|+i50  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction 9wc\~5{li  
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        'Adjust parameters to account for accommodation [7x;H  
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        '************************************************************************* i@P= *lLD  
        'Aqueous thickness (Position of Lens) (W"0c?i|]  
        '************************************************************************* cEp/qzAiD%  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) ;W+1 H !  
        GetCustomElement eID, entity 1$# r)S[*  
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        parID = FindFullName( "Geometry.Arizona Eye" ) 7o+VhW<|5  
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        ' Delete any shift(s) in z aH%tD!%,o  
        count = 0 [`h,Ti!m<  
        While GetOperationCount(eID)>count zN9@.!?X2  
            GetOperation eID, count, op D5@}L$ u  
            If op.Type="ShiftZ" Then O.Dz}[w  
                DeleteOperation eID,count K4NzI9@  
                count=count-1 *S <I!7Q  
            End If >d .|I&  
            count=count+1 xzMpTZQ  
        Wend xPT$d,~"  
    nx`W!|g$`  
        'Set new shift in {hO|{vz  
        op.Type = "ShiftZ" 2&s(:=  
        op.val1 = taq jMR9E@>~E  
        op.parent = parID *x#5S.i1  
        AddOperation eID, op %^I 7=  
        Print "Set aqueous humor thickness = " & taq-0.55 ss|n7  
    )('{q}JxV  
        '************************************************************************* 3!*` hQ;s  
        'Radius and conic constant of anterior lens }EfRYE$E  
        '************************************************************************* S)2Uoj  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) [A!=Hv_$  
        GetConic eID, entity, curv, conic _fj@40i M  
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        SetConic eID, entity, 1/Rant, CCant (|6!pQ7  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant :/Y4I)'  
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        '************************************************************************* ;''S} ;  
        'Radius and conic constant of posterior lens I[ZWOi\- ;  
        '************************************************************************* lg (>n&  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) n n8N 9w  
        GetConic eID, entity, curv, conic hA~5,K0b  
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        SetConic eID, entity, 1/Rpost, CCpost OH+2)X  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost wE <PXBl\b  
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        '************************************************************************* ok&v+A  
        'Lens thickness (Position of posterior lens surface) H:1F=$0I9  
        '************************************************************************* : SD3  
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        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) k|_ >I  
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        ' Delete any z-shift(s) !G ~\9  
        count = 0 ?0E-Lac=  
        While GetOperationCount(eID)>count .|kp`-F51  
            GetOperation eID, count, op U@:iN..  
            If op.Type="ShiftZ" Then !.{{QwZ  
                DeleteOperation eID,count fV/  
                count=count-1 s.}:!fBk  
            End If ~Oj-W6-+&,  
            count=count+1 *UG=dl#F#  
        Wend f7]C1!]  
    ;}4e+`fF|  
        'Set new z-shift $J:~jY/J  
        op.Type = "ShiftZ" l>>, ~  
        op.val1 = tlens U./1OZ&  
        op.parent = parID e-{4qt  
        AddOperation eID, op >\!>CuU  
        Print "Set lens thickness = " & tlens ^UpwVKdP  
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        '************************************************************************* Tq.%_/@M<  
        'Lens index of refraction x(88Y7o.t  
        '************************************************************************* P\|i<Ds_M  
        eID = FindMaterial( "Lens" ) laFF/g;sRC  
        GetModelMaterial eID, mat QW%BKF!  
    3PZwz^oRh9  
        mat.Nd = nlens h5#V,$  
        SetModelMaterial eID, mat .l&<-l;UQ  
        Print "Set lens index of refraction = " & nlens Ne,u\q3f  
    EabZ7zFoN  
        '************************************************************************* 9ev " BO  
        'Pupil diameter fL1EQ)  
        '************************************************************************* Mj@ 0F 2hy  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) $y*[" ~TJ  
    thSo,uGlW  
        'Adjust pupil diameter (trimming volume inner hole) Mio~CJ"?  
    S)\%.~ n  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" B\!.o=<h  
    }h)[>I(  
        ' Adjust pupil location to just in front of the lens ]hkway  
        parID = FindFullName( "Geometry.Arizona Eye" ) *[_>d.i  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) eqE%ofW  
        count = 0 vN4g#,<  
        While GetOperationCount(eID)>count f9 b=Zm'  
            GetOperation eID, count, op vl}uHdeP9  
            If op.Type="ShiftZ" Then mI~k@!3  
                DeleteOperation eID,count mM7S9^<UH  
                count=count-1 ^Ru/7pw 5  
            End If 4 p(KdYc  
            count=count+1 M e  
        Wend  Dy@f21+  
        op.Type = "ShiftZ" V<!E9/4rS  
        op.val1 = taq-0.01 [0e}%!%M  
        op.parent = parID L);kwx7{LW  
        AddOperation eID, op f&ym'S  
    Gv}h/zu-  
        Print "Set pupil diameter = " & pupilDiam cx8H.L  
    u{ .UZTn  
        'Update AZ Eye subassembly Description NN W*  
        eID = FindFullName( "Geometry.Arizona Eye" ) )#dP:  
        GetEntity eID, entity 8BZDaiE"  
        entity.Description = "Accommodation = " & A & "D" )xQA+$H#4  
        SetEntity eID, entity [sY>ac  
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        Update ukSi9| 1-,  
        Print "DONE!" WVf>>E^1  
         8Mq] V v  
    End Sub LPk85E  
    i=<N4Vx  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: b='YCa  
    _6 ~/`_(KP  
    Accommodation = 4 Diopters 89'XOXl&1  
    Pupil Diameter = 4 mm pr[[)[]/  
    Set aqueous humor thickness = 2.81 Ui46 p  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 p' FYK|  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 Hdh'!|w  
    Set lens thickness = 3.927 /tf}8d  
    Set lens index of refraction = 1.42672 h30~2]hH  
    Set pupil diameter = 4 '7{0k{  
    DONE! >i4UU0m  
    -_ [Z5%B  
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    QQ:2987619807 xF_ Y7rw1w  
     
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