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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 er&uC4Y]a  
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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。 |Ba4 G`  
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    模型 Z'7 c^c7_  
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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。 XLkL#&Ir  
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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. i{Y=!r5r  
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    光源 Q `J,dzY  
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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。 T%M1[<"Q  
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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。 -o=P85 V  
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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。 8:3oH!n  
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    图2. 字母F光源的设定方法光 w>H%[\Qs  
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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 [[Jv)?jm  
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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。 ECmHy@(  
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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。 ZNL;8sI?>  
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    图5. 视网膜重点采样规格设定
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    脚本 }`+^|1  
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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: [9YlLL@  
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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。 cpr{b8Xb8&  
    余下的脚本计算与屈光度有关的所有参数。 n]6}yJJo  
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    分析 aPY>fy^8D  
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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。 %%-U .   
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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 x3Dg%=R  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. pjmGzK  
    rH2tC=%  
    Dim entity As T_ENTITY r0hta)xa  
    Dim op As T_OPERATION }jyS\drJ  
    Dim mat As T_MODELMATERIAL Im' :sJ31  
    Dim A As Double f!uA$uL c  
    Dim pupilDiam As Double E{+c*sz  
    Dim eID As Long %1 VNP(E  
    Dim parID As Long O0=,&=i  
    Dim count As Integer **w*hd]  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double cc2oFn  
    Dim tlens As Double, nlens As Double ?-.Ep0/  
    Dim curv As Double, conic As Double cciAMQhA  
    Dim ok As Long +qSr=Y:+  
    o?Tp=Ge  
    Sub Main qqz,~EhC  
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        '用户输入对话框 @dT: 1s  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 yTq(x4]  
            TextBox 220,21,40,21,.TextBox1 'default: 0 }G,SqpcG  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 {Y@-*pL]  
            OKButton 40,91,90,21 :)+@qxTy  
            CancelButton 190,91,90,21 :UJUh/U  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 nX.sh  
            TextBox 220,49,40,21,.TextBox2 'default: 4 4MF}FS2)  
        End Dialog oX:1 qJrC  
        Dim dlg As UserDialog  Z,8+@  
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        ok = Dialog (dlg) tE9_dR^K  
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        If ok=0 Then    'cancel button was pressed ad3z]dUZ9  
            Print "Execution cancelled." .' N O~  
            End C$..w80/1  
        End If bh;b` 5  
    !ovZ>,1  
        'Assign accommodation and pupil diameter & use defaults if field left empty qY~$wVY(  
        If dlg.TextBox1 = "" Then SFk11  
            A = 0           'Default accommodation .5[LQR  
        Else ,TfI  
            A = CDbl(dlg.TextBox1) Y4 ~wNs6  
        End If yY@ s(:  
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        If dlg.TextBox2 = "" Then +O!M>  
            pupilDiam = 4   'Default pupil diameter G}?P r4Gj  
        Else }2!5#/^~  
            pupilDiam = CDbl(dlg.TextBox2) vA7jZw  
        End If p`l[cVQ<  
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        Print " " '__3[D  
        Print "Accommodation = " & A & " Diopters" tx1m36a"  
        Print "Pupil Diameter = " & pupilDiam & " mm" "JUQ)> !?  
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        ' Calculate new parameters with accommodation zs]/Y2  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness :Z]+Z_9p  
    cmGj0YUQ1  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens MCrO]N($b  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens }$k`[ivBx(  
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        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens ";Ig%]  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens Qpv}N*v^  
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        tlens = 3.767 + 0.04*A                  'Lens thickness ^B6i6]Pd=9  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction R#Nd|f<  
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        'Adjust parameters to account for accommodation :mtw}H 'F8  
    % x*Ec[l  
        '************************************************************************* Gv+Tg/  
        'Aqueous thickness (Position of Lens) vyx\N{  
        '************************************************************************* 53+rpU_  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) DGfQo5#  
        GetCustomElement eID, entity qpwh #^2  
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        parID = FindFullName( "Geometry.Arizona Eye" ) IweK!,:>dN  
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        ' Delete any shift(s) in z SnF[mN'  
        count = 0 674oL,  
        While GetOperationCount(eID)>count ch8w'  
            GetOperation eID, count, op jUR #  
            If op.Type="ShiftZ" Then Qx,$)|_  
                DeleteOperation eID,count 3;l>x/amk  
                count=count-1 g Wv+i/,  
            End If \/4%[Q2QDm  
            count=count+1 ,JBw$ C  
        Wend oY6|h3T=Q$  
    }:D~yEP  
        'Set new shift in |%cO"d^ri  
        op.Type = "ShiftZ" MbFe1U]B  
        op.val1 = taq ]%Yis=v  
        op.parent = parID i7FR78^  
        AddOperation eID, op ].f,3it g&  
        Print "Set aqueous humor thickness = " & taq-0.55  t-x"(  
    +2fJ  
        '************************************************************************* `"b7y(M  
        'Radius and conic constant of anterior lens Z *<x  
        '************************************************************************* m^x\@!N:(  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) jhbH6=f4]^  
        GetConic eID, entity, curv, conic >h( rd1  
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        SetConic eID, entity, 1/Rant, CCant yz$1qEII`q  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant #!&R7/ KdD  
    |QTqa~~B  
        '************************************************************************* 'U{: zBh  
        'Radius and conic constant of posterior lens SF7b1jr  
        '************************************************************************* 32|L $o  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) @ h`Zn1;  
        GetConic eID, entity, curv, conic qe"6#@b *|  
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        SetConic eID, entity, 1/Rpost, CCpost vMdhNOU  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost ^W[`##,{Od  
    [,$mpJCI  
        '************************************************************************* 7Z~szD  
        'Lens thickness (Position of posterior lens surface) kDP^[V P+  
        '************************************************************************* la{uJ9Iw@}  
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        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) _7"W\gn:9  
    PyxN_agf  
        ' Delete any z-shift(s) d#:J\2V"R  
        count = 0 p}|wO&4h  
        While GetOperationCount(eID)>count 4x?u5L 9o  
            GetOperation eID, count, op UkbQ'P+oS  
            If op.Type="ShiftZ" Then H1qw1[%0y  
                DeleteOperation eID,count C{,] 1X6g  
                count=count-1 JU \J  
            End If ZV4' |q  
            count=count+1 (ai-n,y  
        Wend vk+%#w  
    '"\Mjz)/  
        'Set new z-shift /~huTKA}  
        op.Type = "ShiftZ" il%tu<E#J~  
        op.val1 = tlens '<D}5u7 2  
        op.parent = parID cE>/iZc  
        AddOperation eID, op gL"Q.ybA  
        Print "Set lens thickness = " & tlens 9QZwUQ  
    ayz1i:Q|  
        '************************************************************************* WzbN=& C]h  
        'Lens index of refraction M]TVaN$v#  
        '************************************************************************* PlRs- %d  
        eID = FindMaterial( "Lens" ) [ \n.[4gq"  
        GetModelMaterial eID, mat |F {E4mg(o  
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        mat.Nd = nlens u N0fWj]  
        SetModelMaterial eID, mat }4]x"DfIg  
        Print "Set lens index of refraction = " & nlens [y;ZbfMP|o  
    PH!B /D5G  
        '************************************************************************* x)Kh _G  
        'Pupil diameter T\CQ  
        '************************************************************************* Awf = yE:  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) @_ ZW P  
    c;}n=7,>:L  
        'Adjust pupil diameter (trimming volume inner hole) >Mw =}g@P  
    b=\3N3OX  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" :Zo2@8@7  
    QnLg P7Ft  
        ' Adjust pupil location to just in front of the lens rWKLxK4oU  
        parID = FindFullName( "Geometry.Arizona Eye" ) l<_mag/j9o  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) _?LI0iIFx  
        count = 0 u`,R0=<4  
        While GetOperationCount(eID)>count "dOY_@kg  
            GetOperation eID, count, op zb,`K*Z{  
            If op.Type="ShiftZ" Then !O_^Rn+<2  
                DeleteOperation eID,count ~M1%,]  
                count=count-1 Yx c >+mx  
            End If Xb 1^Oj  
            count=count+1 m?G+#k;K  
        Wend t1s@Ub5);I  
        op.Type = "ShiftZ" 2DdLqZY#  
        op.val1 = taq-0.01 9gayu<J  
        op.parent = parID tzJtd  
        AddOperation eID, op 5j5t?G;d,  
    v~QZO4[ '  
        Print "Set pupil diameter = " & pupilDiam qZ1PC>  
    Q_Sq  uuk  
        'Update AZ Eye subassembly Description :u93yH6~8  
        eID = FindFullName( "Geometry.Arizona Eye" ) c4W"CD;D  
        GetEntity eID, entity PP|xIAc  
        entity.Description = "Accommodation = " & A & "D" j'cCX[i  
        SetEntity eID, entity :8T@96]P  
    '-TFrNO;h  
        Update S]@iS[|?  
        Print "DONE!" {'aqOlw3<j  
         g&5VorGx  
    End Sub 8#-}3~l[  
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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: oC>~r 1.j  
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    Accommodation = 4 Diopters m':m`,c!  
    Pupil Diameter = 4 mm <-7Ha_#  
    Set aqueous humor thickness = 2.81 .AS,]*?Zn%  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 )A;<'{t #L  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 =J\7(0Dz4t  
    Set lens thickness = 3.927 -W vAmi  
    Set lens index of refraction = 1.42672 U?yXTMD  
    Set pupil diameter = 4 zaPR>:r0  
    DONE! P~>nlm82]  
     
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