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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 >\5IB5'j  
    [V_\SQV0  
    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。 /eNDv(g)M  
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    模型 T@\%h8@~]  
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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。 UZb!tO2  
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    Table 1. AZ眼睛模型的定义
    %hH@< <b(s  
    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. hT?|:!ED.F  
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    光源 P* .0kR1n  
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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。 [3fmhc  
    9  7Mi{Zz  
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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。 bbxo!K m"  
    :zLeS-  
    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。 !;h`J:dN  
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    图2. 字母F光源的设定方法光 HA0Rv#p  
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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 %Tm8sQ)1  
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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。 ,R2;oF_  
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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。 q$BS@   
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    图5. 视网膜重点采样规格设定
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    脚本 J'#R9NO<  
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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: jpRC6b?  
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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。 5BsfbLKC  
    余下的脚本计算与屈光度有关的所有参数。 85 <%L:EC  
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    分析 \>nY%*  
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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。 S1G3xY$0  
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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 ST7Xgma-  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. Sxg&73;ZV  
    %y_AT2A  
    Dim entity As T_ENTITY +3%i7  
    Dim op As T_OPERATION $ Ov#^wfA  
    Dim mat As T_MODELMATERIAL Z&Ao;=Gp1  
    Dim A As Double 2E_*'RT  
    Dim pupilDiam As Double $3D#U^7i  
    Dim eID As Long }Asp=<kCc  
    Dim parID As Long /{HK0fd  
    Dim count As Integer V^5Z9!  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double Aa`'g0wmc  
    Dim tlens As Double, nlens As Double &RbT&  
    Dim curv As Double, conic As Double 2z615?2_U  
    Dim ok As Long 8@J5tFJ&%  
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    Sub Main }&:F,q*  
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        '用户输入对话框 ZK8I f?SD  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 h(Ccm44  
            TextBox 220,21,40,21,.TextBox1 'default: 0 |{JJ2c\W  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 \jGvom.  
            OKButton 40,91,90,21 bk{.9nz2  
            CancelButton 190,91,90,21 8bP4  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 Y~+`F5xX<  
            TextBox 220,49,40,21,.TextBox2 'default: 4 M +Jcg b]  
        End Dialog bJ6@ B<  
        Dim dlg As UserDialog D>).^>|q  
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        ok = Dialog (dlg) c0M>CaKD  
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        If ok=0 Then    'cancel button was pressed 'p:L"L}Q?  
            Print "Execution cancelled." Z4aK   
            End 1l`$.k  
        End If GYM6 `  
    j~:N8(=  
        'Assign accommodation and pupil diameter & use defaults if field left empty 5*31nMP\  
        If dlg.TextBox1 = "" Then s#2<^6  
            A = 0           'Default accommodation kx_PMpc  
        Else eQ}o;vJN  
            A = CDbl(dlg.TextBox1) | 'SqG}h  
        End If JVzU'd;1!  
    8H>: C (h  
        If dlg.TextBox2 = "" Then (Ut)APM  
            pupilDiam = 4   'Default pupil diameter vKzq7E  
        Else u |h T1l  
            pupilDiam = CDbl(dlg.TextBox2) xp395ub6  
        End If 2qb,bp1$  
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        Print " " %n3lm(-0U  
        Print "Accommodation = " & A & " Diopters" Z;^UY\&X  
        Print "Pupil Diameter = " & pupilDiam & " mm" K% ) K$/A  
    p&nIUx"  
        ' Calculate new parameters with accommodation Yy4? |wVl  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness 'g8~uP  
    A;t6duBDf/  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens [jD.l;jF  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens `&.]>H)N*  
    Zd/ACZ[  
        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens 3H0~?z_  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens je^!W?U4<  
    ,8KD-"l^g  
        tlens = 3.767 + 0.04*A                  'Lens thickness : -@o3Syg  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction x"@Y[  
    %)7HBj(*J  
        'Adjust parameters to account for accommodation ;:nO5VFOg  
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        '************************************************************************* `TM[7'  
        'Aqueous thickness (Position of Lens) /( /)nYAjk  
        '************************************************************************* ]j.??'+rg  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) niZ/yW{w  
        GetCustomElement eID, entity 4s?x 8oAy  
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        parID = FindFullName( "Geometry.Arizona Eye" ) C.r9)#G  
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        ' Delete any shift(s) in z \:cr2w'c  
        count = 0 RO-ABFEi(  
        While GetOperationCount(eID)>count 0jY#,t?>  
            GetOperation eID, count, op 26fbBt8nP  
            If op.Type="ShiftZ" Then #`tn:cP  
                DeleteOperation eID,count KGCm@oy  
                count=count-1 FFH9 $>A  
            End If K)|#FRPM u  
            count=count+1 ,t4g^67R{  
        Wend c;w%R8z  
    s6k,'`.  
        'Set new shift in eMPk k=V  
        op.Type = "ShiftZ" C wKo'PAJ  
        op.val1 = taq 4}:a"1P"  
        op.parent = parID eGrC0[SH  
        AddOperation eID, op (>THN*i  
        Print "Set aqueous humor thickness = " & taq-0.55 ;~Eb Q  
    s 2t'jIB  
        '************************************************************************* ^c1%$@H  
        'Radius and conic constant of anterior lens ;<Dou7=  
        '************************************************************************* H\tz"<*``  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) }(AgXvRq  
        GetConic eID, entity, curv, conic +kF$I7LN  
    bP%0T++vo  
        SetConic eID, entity, 1/Rant, CCant #4. S2m4  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant zmf`}j[  
    wv>uT{g#  
        '************************************************************************* krkRP%jy  
        'Radius and conic constant of posterior lens 3%Jg' Tr+  
        '************************************************************************* }-H<wQ&x  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) 41y}n{4n8  
        GetConic eID, entity, curv, conic HFD5* Z~M  
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        SetConic eID, entity, 1/Rpost, CCpost C' C'@?]  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost | fAt[e_E  
    k$nQY  
        '************************************************************************* 8fzmCRFH  
        'Lens thickness (Position of posterior lens surface) j[ !'l,I  
        '************************************************************************* ,5" vzGLJ  
    rf"%D<bb  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) hETTD%  
    Gd$odKtI  
        ' Delete any z-shift(s) eiB5 8b3  
        count = 0 3R%'<MV|  
        While GetOperationCount(eID)>count 24_F`" :-=  
            GetOperation eID, count, op wrq0fHwM  
            If op.Type="ShiftZ" Then 7Wg0-{yK4  
                DeleteOperation eID,count "WOY`su>  
                count=count-1 %of#VSk  
            End If LGq}wxq  
            count=count+1 BBy"qkTe  
        Wend pX ]K-  
    s$e0;C!D  
        'Set new z-shift U@v=q9'W  
        op.Type = "ShiftZ" ` INcZr"  
        op.val1 = tlens 1P&XG@  
        op.parent = parID cF_hU"  
        AddOperation eID, op :70cOt~Z  
        Print "Set lens thickness = " & tlens w~>V2u_-  
    O#Ab1FQn  
        '************************************************************************* c;l d  
        'Lens index of refraction xe[Cuy$P  
        '************************************************************************* _@0>y MZ^  
        eID = FindMaterial( "Lens" ) T!eb=oy  
        GetModelMaterial eID, mat s }q6@I  
    b@@`2O3"  
        mat.Nd = nlens 5DKR1z:  
        SetModelMaterial eID, mat NZ`W`#{  
        Print "Set lens index of refraction = " & nlens UX=JWb_uGm  
    \3w=')({  
        '************************************************************************* hRZ9[F[[  
        'Pupil diameter ?1 $.^  
        '************************************************************************* g]O"l?xx1D  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) Kl~jcq&z  
    s<x2*yVUA  
        'Adjust pupil diameter (trimming volume inner hole) FCU~*c8Cs  
    Px:PoOw\  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" \:C@L&3[  
    ZiodJ"r  
        ' Adjust pupil location to just in front of the lens :WejY`}H%  
        parID = FindFullName( "Geometry.Arizona Eye" ) b 8v?@s~  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) 4;8 Z?.  
        count = 0 p%5RE%u  
        While GetOperationCount(eID)>count 1{R 1:`  
            GetOperation eID, count, op g&;:[&% T]  
            If op.Type="ShiftZ" Then Y( n# =  
                DeleteOperation eID,count XEM i~L+  
                count=count-1 NK'awv),pM  
            End If nE)?P*$3Z  
            count=count+1 lCg'K(|"  
        Wend ?cf9q@eAH  
        op.Type = "ShiftZ" !Y/$I?13Z  
        op.val1 = taq-0.01 W>0 36  
        op.parent = parID C0;c'4(  
        AddOperation eID, op X2!vC!4P?L  
    }; !S2+  
        Print "Set pupil diameter = " & pupilDiam n\&[^Q#b|  
    .0;Z:x_3  
        'Update AZ Eye subassembly Description 7a 4G:  
        eID = FindFullName( "Geometry.Arizona Eye" ) "<x%kD  
        GetEntity eID, entity 9.f/d4  
        entity.Description = "Accommodation = " & A & "D" W #E-vi+l  
        SetEntity eID, entity %g}ri8  
    +s.r!?49+  
        Update uqPagt<  
        Print "DONE!" dX-Xzg  
         }7E2,A9_"  
    End Sub DE:FWD<}  
    PX}YDC zP$  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: 0dA'f0Uy\X  
    l[mXbQd  
    Accommodation = 4 Diopters rI)op1K  
    Pupil Diameter = 4 mm gq4le=,v  
    Set aqueous humor thickness = 2.81 smW 7zGE  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 Fu:VRul=5$  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 Va>~7  
    Set lens thickness = 3.927 ZAVjq;bq  
    Set lens index of refraction = 1.42672 H->J.5~,K  
    Set pupil diameter = 4 wB}s>o\  
    DONE! ^6`"f  
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    NL%5'8F>,  
    QQ:2987619807 E'zLgU)r`  
     
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