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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 ,1B4FAR&  
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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。 +PLJ  
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    模型 |oSt%l Q1  
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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。 Fw(  
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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. 5uSg]2:  
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    光源 R+He6c!?9  
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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。  PBW_9&d  
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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。 s0vcGh#w  
    )v+&l9D  
    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。 /8`9SS  
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    图2. 字母F光源的设定方法光 k5bv57@  
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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 \8a014  
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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。 -:L7iOzgD  
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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。 rk ,64(  
    >b3IZ^SB#$  
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    图5. 视网膜重点采样规格设定
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    脚本 Qd% (]L[N.  
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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: QJkiu8r  
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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。 4U)%JK.ta  
    余下的脚本计算与屈光度有关的所有参数。 }c4F}Cy  
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    分析 {BAZ`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。 2e ~RM2PQ  
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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 D,-L!P  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. \4 t;{_  
    >i61+uzEd+  
    Dim entity As T_ENTITY FEa%wS{  
    Dim op As T_OPERATION lu1T+@t  
    Dim mat As T_MODELMATERIAL Ja\B%f  
    Dim A As Double {=R vFA  
    Dim pupilDiam As Double X/Fip 0i  
    Dim eID As Long &|zV Wl  
    Dim parID As Long l$!NEOK  
    Dim count As Integer (@\0P H0  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double o1]1I9  
    Dim tlens As Double, nlens As Double X)9|ZF2`  
    Dim curv As Double, conic As Double V-i:t,*lk(  
    Dim ok As Long ;]/cCi  
    EJaO"9 (  
    Sub Main Rg~[X5  
    :J5CmU $  
        '用户输入对话框 $~A\l@xAG  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 *nUa0Zg4q6  
            TextBox 220,21,40,21,.TextBox1 'default: 0  _8z  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 hJJo+NNN  
            OKButton 40,91,90,21 ux7g%Q ^"  
            CancelButton 190,91,90,21 KiNluGNt  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 kRzqgVr%  
            TextBox 220,49,40,21,.TextBox2 'default: 4 xoE,3Sn  
        End Dialog +n8,=}  
        Dim dlg As UserDialog LA837%)  
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        ok = Dialog (dlg) 9>5]y}.{  
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        If ok=0 Then    'cancel button was pressed FC8= ru  
            Print "Execution cancelled." rk?G[C)2c  
            End f6HDfJmE  
        End If QlxlT$o}  
    K9'AYFse  
        'Assign accommodation and pupil diameter & use defaults if field left empty +(hr5  
        If dlg.TextBox1 = "" Then j7Lw( AJ  
            A = 0           'Default accommodation @j4~`~8  
        Else _~ 7cn  
            A = CDbl(dlg.TextBox1) pM@0>DVi  
        End If |G-o&m"  
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        If dlg.TextBox2 = "" Then ( e(<4-&  
            pupilDiam = 4   'Default pupil diameter IAn/?3a~  
        Else nHL(v  
            pupilDiam = CDbl(dlg.TextBox2) 4T#Z[B[  
        End If 4dvuw{NZ  
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        Print " " ?Wp{tB9N0  
        Print "Accommodation = " & A & " Diopters" ps?B;P  
        Print "Pupil Diameter = " & pupilDiam & " mm" SbpO<8}8  
    <0)@Ikhx  
        ' Calculate new parameters with accommodation v~HfA)#JK  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness K<tkNWasQ  
    T k>N4yq  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens #bLeK$  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens eTa[~esu.  
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        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens  0bk094  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens )u'("  
    8/E?3a_g-  
        tlens = 3.767 + 0.04*A                  'Lens thickness G;pxB,4s5  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction !~k-S exh  
    |"a%S,I'  
        'Adjust parameters to account for accommodation =Wk!mGc  
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        '************************************************************************* TXQ Y&7  
        'Aqueous thickness (Position of Lens) |+i?FYA\  
        '************************************************************************* v0}.!u>Ww  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) fM)RO7  
        GetCustomElement eID, entity dPRGL hWF  
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        parID = FindFullName( "Geometry.Arizona Eye" ) H\<C@OkJS}  
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        ' Delete any shift(s) in z XA:v:JFS  
        count = 0 1)M>vdrP  
        While GetOperationCount(eID)>count hzc2c.gcF  
            GetOperation eID, count, op =jmn  
            If op.Type="ShiftZ" Then e&u HU8k*  
                DeleteOperation eID,count Y&5h_3K;<  
                count=count-1 .HG0%Vp  
            End If l$Y7CIH  
            count=count+1 `7|v  
        Wend KyAQzN9  
    ZUMzWK5Th  
        'Set new shift in  _D(F[p|  
        op.Type = "ShiftZ" w]\O3'0Js  
        op.val1 = taq #.%;U' #O  
        op.parent = parID 8<uKzb(O:  
        AddOperation eID, op vV| u+v{  
        Print "Set aqueous humor thickness = " & taq-0.55 Y0U<l1(|  
    ?ei7jM",  
        '************************************************************************* q$s0zqV5  
        'Radius and conic constant of anterior lens *, o)`  
        '************************************************************************* #x&1kHu<  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) =2{^qvP  
        GetConic eID, entity, curv, conic m`-{ V<(M  
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        SetConic eID, entity, 1/Rant, CCant 7{X I^I:n  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant i3>7R'q>  
    @K]D :MSS  
        '************************************************************************* )fR'1_  
        'Radius and conic constant of posterior lens jzu1>*ok  
        '************************************************************************* q=E<y  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) /'p(X~X:l  
        GetConic eID, entity, curv, conic bY;ah;<  
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        SetConic eID, entity, 1/Rpost, CCpost 5"6Y=AuQ6  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost ; eq^m,oz  
    \=4[v-3 H  
        '************************************************************************* -2mm 5E~N  
        'Lens thickness (Position of posterior lens surface) X%S?o  
        '************************************************************************* i}+K;,Da:8  
    H{`S/>)[   
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) <`a!%_LC [  
    grnlJ=  
        ' Delete any z-shift(s) qv=i eU  
        count = 0 Z@ * ^4Ve  
        While GetOperationCount(eID)>count 6<R!`N 6  
            GetOperation eID, count, op {KE858  
            If op.Type="ShiftZ" Then =\?KC)F*e  
                DeleteOperation eID,count /WB^h6qg  
                count=count-1 Ylll4w62N  
            End If Lu6!W  
            count=count+1 S=ebht=  
        Wend *K'(t  
    Y|g8xkI}XB  
        'Set new z-shift sC48o'8(  
        op.Type = "ShiftZ" InMF$pw  
        op.val1 = tlens a&p|>,WS  
        op.parent = parID Lt.a@\J'_  
        AddOperation eID, op kA{[k  
        Print "Set lens thickness = " & tlens \L(~50{(  
    KE`}P<K&  
        '************************************************************************* m49GCo k+  
        'Lens index of refraction E=3<F_3W  
        '************************************************************************* {xp/1? Mo*  
        eID = FindMaterial( "Lens" ) #7+oM8b  
        GetModelMaterial eID, mat 1j "/}0fx  
    |[;9$Vn  
        mat.Nd = nlens dQQh$*IL?{  
        SetModelMaterial eID, mat /Zap'S/  
        Print "Set lens index of refraction = " & nlens (hS j4Cp  
    R~iJ5@[  
        '************************************************************************* VChNDHiH  
        'Pupil diameter u1xCn\  
        '************************************************************************* N2vSJ\u  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) F??})YX  
    De@GNN"-  
        'Adjust pupil diameter (trimming volume inner hole) /\V-1 7-  
    K>Dn#"{Y  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" #!l\.:h%  
    B>WAlmPA  
        ' Adjust pupil location to just in front of the lens ;"$Wfy  
        parID = FindFullName( "Geometry.Arizona Eye" ) *Fb]lM7D  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) j BS$xW  
        count = 0 {M96jjiInf  
        While GetOperationCount(eID)>count +] >o@  
            GetOperation eID, count, op DpH+lpC  
            If op.Type="ShiftZ" Then //n$#c _}u  
                DeleteOperation eID,count *JDQaWzBd  
                count=count-1 m-4P*P$X  
            End If *]NG@^y  
            count=count+1 lk]q\yO_%  
        Wend d _ )5Ks}  
        op.Type = "ShiftZ" }lt5!u~}  
        op.val1 = taq-0.01 @&p:J0hbp  
        op.parent = parID byoP1F%  
        AddOperation eID, op @&#k['c  
    M?l/_!QB  
        Print "Set pupil diameter = " & pupilDiam +e}v) N  
    p'{B|ujj6  
        'Update AZ Eye subassembly Description lZ|+.T!g?  
        eID = FindFullName( "Geometry.Arizona Eye" ) GdHFgxI  
        GetEntity eID, entity q#B=PZ'NA  
        entity.Description = "Accommodation = " & A & "D" ^3"~ T  
        SetEntity eID, entity =jXBF.  
    4zyN>f|  
        Update $p:RnH\H1  
        Print "DONE!" BdBwfH%:  
         |LhVANz  
    End Sub V>D8l @  
    ybNo`:8 A;  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: g2 7 iE  
    ~(i#A>   
    Accommodation = 4 Diopters g>` k9`  
    Pupil Diameter = 4 mm mq 0d ea  
    Set aqueous humor thickness = 2.81 B' }h6ZH  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 U; -2)+  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 :%G_<VAo!  
    Set lens thickness = 3.927 Nz/PAs7g6  
    Set lens index of refraction = 1.42672 w5fVug/;P  
    Set pupil diameter = 4 ?='2@@8;  
    DONE! !r\u,l^  
    9o%k [n  
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    QQ:2987619807 B&:9uPRzZ  
     
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