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    [分享]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: 2020-12-09
    简介 [(@K;6o  
    3/`BK{  
    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。 sNDo@u7  
    |-x-CSN  
    模型 VkFh(Br<{  
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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。 g8N"-j&@  
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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. u9"yU:1keb  
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    光源 %PYO9:n  
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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。 ^$: w  
    FE\E%_K'n7  
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    图1. 光源和提示信息使用
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    除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 ri{*\LV*@  
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    在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 :')[pO_FW*  
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    图2. 字母F光源的设定方法光 gS'{JZu2  
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    图3. 字母F在视网膜上位置点列图
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    视网膜的散射 f\hMTebma$  
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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。 Z6zV 9hn  
    %Xd*2q4*  
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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。 0#8   
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    图5. 视网膜重点采样规格设定
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    脚本 _iJ~O1qx,w  
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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: (  zo7h  
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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。 vUpAW[[  
    余下的脚本计算与屈光度有关的所有参数。 m8fj\,X  
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    分析 2$Mnwxfk  
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    屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 ({!!b"B2  
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    图7. 字母F在视网膜上颜色分析
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    脚本代码 1tNL)x"w  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. "0CFvN'4  
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    Dim entity As T_ENTITY tY"eoPme  
    Dim op As T_OPERATION StI N+S@Z  
    Dim mat As T_MODELMATERIAL MLWHO$C~T  
    Dim A As Double |Vpp'ipr  
    Dim pupilDiam As Double IA`voO$  
    Dim eID As Long wm`<+K  
    Dim parID As Long Nj>6TD81u  
    Dim count As Integer 0zr27ko  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double { ptd OrN  
    Dim tlens As Double, nlens As Double w<9rTHG8,  
    Dim curv As Double, conic As Double EwPrh  
    Dim ok As Long *kLFs|U  
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    Sub Main fUjo',<s  
    #kC~qux^  
        '用户输入对话框 arL>{mj  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 =?OU^ u`C  
            TextBox 220,21,40,21,.TextBox1 'default: 0 y74Q(  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 bB_LL  
            OKButton 40,91,90,21 Pm/<^z%  
            CancelButton 190,91,90,21 _KH91$iW8m  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1  vywB{%p  
            TextBox 220,49,40,21,.TextBox2 'default: 4 Wu][A\3D1  
        End Dialog :'p)xw4K|  
        Dim dlg As UserDialog M/<ypJ  
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        ok = Dialog (dlg) uuY^Q;^I*  
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        If ok=0 Then    'cancel button was pressed W;OGdAa_  
            Print "Execution cancelled." b9j}QK  
            End layxtECP(  
        End If xvTtA61Vp  
    Zy(i_B-b  
        'Assign accommodation and pupil diameter & use defaults if field left empty egq,)6>  
        If dlg.TextBox1 = "" Then vvxxwZa=O  
            A = 0           'Default accommodation t=P+m   
        Else O\=Z;}<N  
            A = CDbl(dlg.TextBox1) 2b$>1O&2  
        End If Orq/38:4G  
    _5p$#U`  
        If dlg.TextBox2 = "" Then WzzA:X  
            pupilDiam = 4   'Default pupil diameter wo`.sB&T  
        Else [K4cxqlfk  
            pupilDiam = CDbl(dlg.TextBox2) x/s:/YN'  
        End If }3*<sxw7<  
    IO\1nB$0nb  
        Print " " }WsPuo  
        Print "Accommodation = " & A & " Diopters" Dmh$@Uu#F  
        Print "Pupil Diameter = " & pupilDiam & " mm" E'WXi!>7p  
    m^ xTV-#l@  
        ' Calculate new parameters with accommodation gNZwD6GMe?  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness kZ% AGc  
    E^-c,4'F  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens 5=TgOS]R  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens MRpMmu  
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        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens Al yJ!f"Y  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens d8wGXNd7B  
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        tlens = 3.767 + 0.04*A                  'Lens thickness /4r2B. 91O  
    #ZZe*B!s_  
        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction `:C1Wo^<  
    j3sz"(  
        'Adjust parameters to account for accommodation &y_t,8>5  
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        '************************************************************************* MD[hqshoh  
        'Aqueous thickness (Position of Lens) =Z+^n ?"  
        '************************************************************************* 2? E;(]dQ  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) I=L[ "]  
        GetCustomElement eID, entity ]xvA2!) Q  
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        parID = FindFullName( "Geometry.Arizona Eye" ) w[z=x  
    ?xaUWD  
        ' Delete any shift(s) in z .<t{saToU  
        count = 0 q[Ai^79  
        While GetOperationCount(eID)>count iF`_-t/k  
            GetOperation eID, count, op \6 \bD<  
            If op.Type="ShiftZ" Then 29:2Xu i  
                DeleteOperation eID,count ["nWIs[h  
                count=count-1 f,O10`4s  
            End If Xq1#rK(  
            count=count+1 O<vBuD2  
        Wend 0L>3 i8'  
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        'Set new shift in _h1bVd-  
        op.Type = "ShiftZ" `v?hL~  
        op.val1 = taq 8ve-g\C8 H  
        op.parent = parID $PM r)U  
        AddOperation eID, op 'wPX.h?  
        Print "Set aqueous humor thickness = " & taq-0.55 s $(%]~P  
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        '************************************************************************* gxhp7c182  
        'Radius and conic constant of anterior lens qBk[Afjgz  
        '************************************************************************* pqg2#@F.  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) cEHpa%_5  
        GetConic eID, entity, curv, conic GIlaJ!/  
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        SetConic eID, entity, 1/Rant, CCant Z*Ffdh>*:&  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant w (HVC  
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        '************************************************************************* Yh]a4l0  
        'Radius and conic constant of posterior lens g;Fd m5Q  
        '************************************************************************* `pbCPa{Y  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) U,b80%k:  
        GetConic eID, entity, curv, conic m& AbH&;  
    (B\Kb4m  
        SetConic eID, entity, 1/Rpost, CCpost xDe^>(,"  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost . x$V~t  
    7NEOaX(J9  
        '************************************************************************* Q8HNST($?  
        'Lens thickness (Position of posterior lens surface) 9ZOQNN<ex  
        '************************************************************************* B)/&xQu  
    q!&:y7O8  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) gB#!g@  
    G,A?yM'Vw  
        ' Delete any z-shift(s) Fz8& Jn!  
        count = 0 jGLmgJG-P  
        While GetOperationCount(eID)>count ->|eMV'd  
            GetOperation eID, count, op 8k{XUn  
            If op.Type="ShiftZ" Then Q-, 4  
                DeleteOperation eID,count '5$: #|-  
                count=count-1 q|YnNk>1  
            End If !o'a]8  
            count=count+1 '!X`X=  
        Wend 1q'_J?Xmd  
    LZ#A`&qUd  
        'Set new z-shift 2s2KI=6  
        op.Type = "ShiftZ" r(]Gd`]  
        op.val1 = tlens  V13^SVM  
        op.parent = parID qUe2(/TQu  
        AddOperation eID, op H|s Iw:  
        Print "Set lens thickness = " & tlens "QfF]/:  
    bjUe+ #BL  
        '************************************************************************* z@[n?t!7k  
        'Lens index of refraction /L,iF?7  
        '************************************************************************* ]mBlXE:Z  
        eID = FindMaterial( "Lens" ) 2wU,k(F_  
        GetModelMaterial eID, mat @bkSA  
    &hpznIN  
        mat.Nd = nlens 6wiuNGZb  
        SetModelMaterial eID, mat I2{zy|&  
        Print "Set lens index of refraction = " & nlens eJOo~HIWQ  
    L#vk77  
        '************************************************************************* OwC{ Ad{  
        'Pupil diameter #SLi v  
        '************************************************************************* ;XY#Jl>tg  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) oz'jt} ?  
    -?T|1FA,  
        'Adjust pupil diameter (trimming volume inner hole) MMRO@MdfV  
    Ejf>QIB  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" ohXbA9&(x  
    k<*1mS8  
        ' Adjust pupil location to just in front of the lens eF 8um$t9  
        parID = FindFullName( "Geometry.Arizona Eye" ) .R+n}>+K  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) bxz6 >>  
        count = 0 K<ldl.  
        While GetOperationCount(eID)>count %'F[(VB   
            GetOperation eID, count, op z<"\I60Fe  
            If op.Type="ShiftZ" Then x@@k_'~t%  
                DeleteOperation eID,count YWhS<}^  
                count=count-1 mpCKF=KL.  
            End If P>6wr\9i[  
            count=count+1 Q!Dr3x  
        Wend AK;G_L  
        op.Type = "ShiftZ" tIX|oWC$q  
        op.val1 = taq-0.01 #5kg3OO  
        op.parent = parID 5geZ6]|  
        AddOperation eID, op j|% C?N  
    .9bP8u2B{  
        Print "Set pupil diameter = " & pupilDiam `4]-B@ 7_  
    /Bnh%6#ab  
        'Update AZ Eye subassembly Description f#vVk  
        eID = FindFullName( "Geometry.Arizona Eye" ) 1K$8F ~%Z  
        GetEntity eID, entity 9/GC8*+  
        entity.Description = "Accommodation = " & A & "D" [\i1I`7pE  
        SetEntity eID, entity "6'# L,  
    zQ eXN7$  
        Update o@\q6xl.  
        Print "DONE!" |w^nCsv  
         8>^O]5Wo`X  
    End Sub $VE=sS.  
    i3y>@$fRL\  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: T;I>5aQ:q4  
    | \JB/x  
    Accommodation = 4 Diopters ab5z&7Re6  
    Pupil Diameter = 4 mm XAr YmO  
    Set aqueous humor thickness = 2.81 G0h7MO%x  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 t5za$kW'&  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 Hb *&&  
    Set lens thickness = 3.927 t?kbN\,  
    Set lens index of refraction = 1.42672 3m`y?Dd  
    Set pupil diameter = 4 A =k{Rl{LA  
    DONE! ?G!DYUK  
    :-.bXOB(  
    Co>=<\yi  
    QQ:2987619807 U,u\o@3A  
     
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