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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 q#AEu xI1  
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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。 i. 6b%  
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    模型 L3I$ K+c  
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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。 JR `$t~0t  
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    Table 1. AZ眼睛模型的定义
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    在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. *RS/`a;,  
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    光源 M4)U [v  
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    多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 A!!!7tj  
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    图1. 光源和提示信息使用
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    除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 4$VDJ  
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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。 }d}sC\>U  
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    图2. 字母F光源的设定方法光 P,pC Z+H  
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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 m BvO<?ec  
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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。 J(}PvkA  
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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。 >Du=(pB  
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    图5. 视网膜重点采样规格设定
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    脚本 KJyCfMH&:@  
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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: pqO0M]}  
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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。 $)NS]wJ]3  
    余下的脚本计算与屈光度有关的所有参数。 T5T%[Gv  
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    分析 %`k [xz  
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    屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 nxhlTf>3  
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    图7. 字母F在视网膜上颜色分析
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    脚本代码 P6kD tUXF  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. |*JMPg?zI  
    !`N:.+DT  
    Dim entity As T_ENTITY zx<PX  
    Dim op As T_OPERATION rkji#\_-FV  
    Dim mat As T_MODELMATERIAL ;SI (5rS?  
    Dim A As Double (" :Dz_  
    Dim pupilDiam As Double >ymn&_zlT  
    Dim eID As Long ) ??N]V_U  
    Dim parID As Long v\dQjQu8m  
    Dim count As Integer # &)H&H}  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double KF#^MEw%  
    Dim tlens As Double, nlens As Double vC>2%Zgf-  
    Dim curv As Double, conic As Double .F$}a%  
    Dim ok As Long Pa0W|q#?X  
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    Sub Main \E,2VM@6  
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        '用户输入对话框 ox`Zs2-a  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 !;8Y?c-D  
            TextBox 220,21,40,21,.TextBox1 'default: 0 s9"X.-!  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 }Fu1Y@M%  
            OKButton 40,91,90,21 x&DqTX?b,  
            CancelButton 190,91,90,21 0,~s0]h0V  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 xltN-<n7  
            TextBox 220,49,40,21,.TextBox2 'default: 4 \5&Mg81  
        End Dialog Gr\jjf`  
        Dim dlg As UserDialog Qq.$! $  
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        ok = Dialog (dlg) 7"2BZ  
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        If ok=0 Then    'cancel button was pressed f_O|  
            Print "Execution cancelled." +o4o!;E)  
            End 8hS^8  
        End If i/-IjgM"-  
    Uv[a ~'  
        'Assign accommodation and pupil diameter & use defaults if field left empty oQh;lb  
        If dlg.TextBox1 = "" Then `q]' ^EzJ  
            A = 0           'Default accommodation XdThl  
        Else ]tu OWR  
            A = CDbl(dlg.TextBox1) w^8Q~ 3|7  
        End If Tv7W)?3h  
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        If dlg.TextBox2 = "" Then +|bmUm<2  
            pupilDiam = 4   'Default pupil diameter SujEF` "  
        Else l=9D!6 4  
            pupilDiam = CDbl(dlg.TextBox2) =7TWzUCO#  
        End If |-vyhr 0  
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        Print " " Eh;Ia6}  
        Print "Accommodation = " & A & " Diopters" A4(L47^  
        Print "Pupil Diameter = " & pupilDiam & " mm" l opl  
    :_i1gY)  
        ' Calculate new parameters with accommodation }2S!;swg+  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness G3|23G.~)(  
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        Rant = 12.0 - 0.4*A                     'Radius of anterior lens cHr]{@7Cs  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens i#YDdz  
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        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens H#GR*4x  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens !lzj.|7=1  
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        tlens = 3.767 + 0.04*A                  'Lens thickness f 5bX,e)!  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction %LC)sSq{H  
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        'Adjust parameters to account for accommodation i/ o  
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        '************************************************************************* Eyf17  
        'Aqueous thickness (Position of Lens) fXnTqKAfu6  
        '************************************************************************* jN{k }  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) \I i# R  
        GetCustomElement eID, entity U[;ECw@  
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        parID = FindFullName( "Geometry.Arizona Eye" ) l]DRJ  
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        ' Delete any shift(s) in z p=[dt  
        count = 0 H h](n<Bs  
        While GetOperationCount(eID)>count Z{(Gib~{N  
            GetOperation eID, count, op g-#eMQ%J  
            If op.Type="ShiftZ" Then *tZ3?X[b  
                DeleteOperation eID,count |:(BI5&S  
                count=count-1 ;w%g*S  
            End If !#]kzS0  
            count=count+1 fU.hb%m)Q\  
        Wend >/.jB/q  
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        'Set new shift in 0j;|IU\  
        op.Type = "ShiftZ" 2\$<&]q  
        op.val1 = taq ]lJ#|zd8o  
        op.parent = parID )rA\+XT7  
        AddOperation eID, op .Z QXY%g  
        Print "Set aqueous humor thickness = " & taq-0.55 Zq1> M'V;  
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        '************************************************************************* jj ` 0w@  
        'Radius and conic constant of anterior lens ,t1s#*j\!q  
        '************************************************************************* _mdJIa0D6k  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) )`5-rm~*  
        GetConic eID, entity, curv, conic m|cRj{xZF  
    S#+ _HFUK{  
        SetConic eID, entity, 1/Rant, CCant )}w-;HX  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant ]]V=\.y  
    IP !zg|c,  
        '************************************************************************* 0x'Fi2=`  
        'Radius and conic constant of posterior lens . VI #  
        '************************************************************************* z5:3.+M5  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) u_WW uo  
        GetConic eID, entity, curv, conic 3joMtRB>;  
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        SetConic eID, entity, 1/Rpost, CCpost 8v;T_VN  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost I GcR5/3  
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        '************************************************************************* R<h0RKiM@  
        'Lens thickness (Position of posterior lens surface) 9D%~~~ %b  
        '************************************************************************* Eh_[8:dK  
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        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) ~ C_2D?  
    t.O4-+$ig  
        ' Delete any z-shift(s) y7*^H  
        count = 0 5o(=?dXm4  
        While GetOperationCount(eID)>count v g tJ+GjN  
            GetOperation eID, count, op ;rF:$37^  
            If op.Type="ShiftZ" Then tK <)A)  
                DeleteOperation eID,count S 1Ji\  
                count=count-1 Q([g1?F9*  
            End If FUPJ&7+B  
            count=count+1 VKrKA71Z~  
        Wend VxAR,a1+n  
    {24Pv#ZG#^  
        'Set new z-shift 3^ &pb  
        op.Type = "ShiftZ" ,%m$_wA$  
        op.val1 = tlens tQ?}x#J  
        op.parent = parID p/s5[>N  
        AddOperation eID, op }S&SL)  
        Print "Set lens thickness = " & tlens q%^gG03.  
    XlNB9\"5  
        '************************************************************************* Md m(xUs  
        'Lens index of refraction UuA=qWC  
        '************************************************************************* sAc)X!}  
        eID = FindMaterial( "Lens" ) *KV] MdS  
        GetModelMaterial eID, mat |y=D^NTG  
    r>q`# ~  
        mat.Nd = nlens ma* 9O |v^  
        SetModelMaterial eID, mat {k~$\J?.  
        Print "Set lens index of refraction = " & nlens u09OnP\  
    tv|=`~Y  
        '************************************************************************* PwNLJj+%  
        'Pupil diameter 9k"nx ,"  
        '************************************************************************* (/Y gcT  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) `0 F"zu  
    |s`q+ U-  
        'Adjust pupil diameter (trimming volume inner hole) ]g+(#x_.?  
    pV-.r-P  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" ;j_#,Da9<  
    Wj*6}N/  
        ' Adjust pupil location to just in front of the lens &k{@:z  
        parID = FindFullName( "Geometry.Arizona Eye" ) KoXXNJax  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) XJ NKM~  
        count = 0 {5z?5i ?D  
        While GetOperationCount(eID)>count ,!py n<_  
            GetOperation eID, count, op O 1X !  
            If op.Type="ShiftZ" Then Ia"bP` L  
                DeleteOperation eID,count Vis?cuU/  
                count=count-1 |m EJJg`"7  
            End If 0UB'6wRVo  
            count=count+1 U&a]gkr  
        Wend nMbV{h ,  
        op.Type = "ShiftZ" E|Lh$9XONA  
        op.val1 = taq-0.01  G0&w#j  
        op.parent = parID BzUx@,  
        AddOperation eID, op Q\z*q,^R  
    3a S>U #  
        Print "Set pupil diameter = " & pupilDiam p.IfJ|  
    Zj^H3 h  
        'Update AZ Eye subassembly Description Tuy*Df  
        eID = FindFullName( "Geometry.Arizona Eye" ) ~gDtj&F  
        GetEntity eID, entity ]- `{kX  
        entity.Description = "Accommodation = " & A & "D" #sHP\|rA  
        SetEntity eID, entity \^:f4ZT  
    : R&tO3_F  
        Update 8UZE C-K  
        Print "DONE!" *Ee# x!O  
         yI;Qb7|^  
    End Sub d$Xvax,C  
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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: u@3w$"Pv1  
    =w5w=qB  
    Accommodation = 4 Diopters #,;k>2j0  
    Pupil Diameter = 4 mm i xyjl[G  
    Set aqueous humor thickness = 2.81 ;Os3 !  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 m ;vNA  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 J{ Vl2P?@  
    Set lens thickness = 3.927 _ 8>"&1n  
    Set lens index of refraction = 1.42672 1WKDG~  
    Set pupil diameter = 4 *dl@)~i  
    DONE! RinRQd  
    w?C\YKF7  
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    QQ:2987619807 "869n37  
     
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