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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 &sx|sLw)  
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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。 u? f3&pA  
    OQh36BM  
    模型 ZN ?P4#Z S  
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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。 wzMWuA4vX  
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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. dMwVgc:  
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    光源 ~j\/3;^s   
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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。 4[!&L:tR  
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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。 !+M H?A  
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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。 NG_O I*|~  
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    图2. 字母F光源的设定方法光 `4&\ %9   
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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 Drlt xI)  
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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。 r\[HR ^`  
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    图4. 视网膜朗伯散射设定
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    注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 3a{QkVeV7  
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    图5. 视网膜重点采样规格设定
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    脚本 nwN<Q\]S  
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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: igz:ek`  
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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。 =WEfo;  
    余下的脚本计算与屈光度有关的所有参数。 BJj~fNm1Zr  
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    分析 \hM6 ykY-  
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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。 V6$v@Zq  
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    图7. 字母F在视网膜上颜色分析
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    脚本代码 <tF]>(|M  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. wOi>i`D&  
    %k$C   
    Dim entity As T_ENTITY Ya9uu@F  
    Dim op As T_OPERATION *qb`wg  
    Dim mat As T_MODELMATERIAL "-xC59,  
    Dim A As Double ]K9 x<@!  
    Dim pupilDiam As Double ;#~ !`>n?  
    Dim eID As Long &`TX4b^/!  
    Dim parID As Long ^m1Rw|  
    Dim count As Integer W: ?-d{  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double Zo0&<QWj  
    Dim tlens As Double, nlens As Double C}1(@$  
    Dim curv As Double, conic As Double N'`*#UI+  
    Dim ok As Long bY>o%LL-  
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    Sub Main *q0N$}k  
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        '用户输入对话框 Y*}Sq|y  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 <m(nZ'Zqz2  
            TextBox 220,21,40,21,.TextBox1 'default: 0 akqXh 9g  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 ;%jt;Xv9  
            OKButton 40,91,90,21 7k$8i9#  
            CancelButton 190,91,90,21 d;;=s=j  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 q$t& *O_  
            TextBox 220,49,40,21,.TextBox2 'default: 4 ,DE%p +q  
        End Dialog ifgaBXT55  
        Dim dlg As UserDialog ^2??]R&Q  
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        ok = Dialog (dlg) m|7g{vHVV  
    '  qM3.U  
        If ok=0 Then    'cancel button was pressed MYx*W7X  
            Print "Execution cancelled." YT:1=Nf}  
            End R #ZDB]2  
        End If JV/,QWar  
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        'Assign accommodation and pupil diameter & use defaults if field left empty -Qgfo|po  
        If dlg.TextBox1 = "" Then ,f1wN{P  
            A = 0           'Default accommodation \D[BRE+  
        Else S77Gc:[;8  
            A = CDbl(dlg.TextBox1) o&AUB` .9~  
        End If l1:j/[B=  
    82=][9d #  
        If dlg.TextBox2 = "" Then aH$~':[93  
            pupilDiam = 4   'Default pupil diameter M)xK+f2_[  
        Else PT4`1Oy}/1  
            pupilDiam = CDbl(dlg.TextBox2) 9BY b{<0tS  
        End If g<C})84y3  
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        Print " " 5[R}MhLZ  
        Print "Accommodation = " & A & " Diopters" 0I_;?i  
        Print "Pupil Diameter = " & pupilDiam & " mm" j;y|Ys)I  
    !^7:Rr _  
        ' Calculate new parameters with accommodation gky_]7Av  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness ~9c9@!RA2  
    Ov|j{}=L=9  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens btY Pp0o~  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens 3edAI&a5  
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        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens  X"0Q)  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens ZJpI]^9|  
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        tlens = 3.767 + 0.04*A                  'Lens thickness yS43>UK_W+  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction G](K2=  
    ;H=6u  
        'Adjust parameters to account for accommodation NLpD,q{  
    _"bx#B*  
        '************************************************************************* s7e'9Bx  
        'Aqueous thickness (Position of Lens) k Mo)4 Xp  
        '************************************************************************* 5Z[ D(z  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) B<R-|-#  
        GetCustomElement eID, entity t5k&xV=~ #  
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        parID = FindFullName( "Geometry.Arizona Eye" ) v(^rq  
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        ' Delete any shift(s) in z O>GP>U?]  
        count = 0 {<2Zb N?  
        While GetOperationCount(eID)>count FCWphpz  
            GetOperation eID, count, op 7q2YsI  
            If op.Type="ShiftZ" Then f h^_=R(/  
                DeleteOperation eID,count hvyN8We  
                count=count-1 JdHc'WtS!|  
            End If 6!nb)auVi  
            count=count+1 MUrY>FYgx  
        Wend 3EvA 5K.  
    ="DgrH  
        'Set new shift in L@Z &v'A  
        op.Type = "ShiftZ" 7|-xM>L$A  
        op.val1 = taq ["}A#cO652  
        op.parent = parID oc(bcU  
        AddOperation eID, op _&/Zab5  
        Print "Set aqueous humor thickness = " & taq-0.55  ~^S-  
    Pb,^UFa=  
        '************************************************************************* DVJc-.x8  
        'Radius and conic constant of anterior lens A 5 X+Z  
        '************************************************************************* )ta5y7np  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) zmFFBf"<  
        GetConic eID, entity, curv, conic k%g xY% 0  
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        SetConic eID, entity, 1/Rant, CCant j,xPN=+hT  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant i!3KG|V  
    ~@D%qbN  
        '************************************************************************* lt4jnV2"a  
        'Radius and conic constant of posterior lens Q*.FUV&;  
        '************************************************************************* ]eW|}V7A:  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) 0EOX@;}  
        GetConic eID, entity, curv, conic CD_f[u  
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        SetConic eID, entity, 1/Rpost, CCpost 0*?XQV@  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost Y:,R7EO{!  
    0JNOFX  
        '************************************************************************* ^-u HdafP  
        'Lens thickness (Position of posterior lens surface) j9}0jC2Tb  
        '************************************************************************* _oTT3[7P  
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        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) Y:%)cUxA  
    e@=[+iJc  
        ' Delete any z-shift(s) Vb^s 'k  
        count = 0 J'yN' 0  
        While GetOperationCount(eID)>count ]7kGHIJ|  
            GetOperation eID, count, op $ bNe0  
            If op.Type="ShiftZ" Then cWO )QIE  
                DeleteOperation eID,count tR* W-%  
                count=count-1 !rg0U<bO!  
            End If m->%8{L  
            count=count+1 -]\E}Ti  
        Wend 3:joSQa  
    {(}w4.!  
        'Set new z-shift MLBg_<  
        op.Type = "ShiftZ" :{:?D\%6  
        op.val1 = tlens )O@^H   
        op.parent = parID }c4E 2c  
        AddOperation eID, op 2ZbY|8X$r  
        Print "Set lens thickness = " & tlens o U}t'WU  
    -\'.JA_  
        '************************************************************************* -`dxx)x  
        'Lens index of refraction Kn#xY3W6  
        '************************************************************************* kg I=0W>  
        eID = FindMaterial( "Lens" ) ~,!hE&LE~  
        GetModelMaterial eID, mat :F>L;mp  
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        mat.Nd = nlens *{dD'9Bg  
        SetModelMaterial eID, mat mnQjX ?  
        Print "Set lens index of refraction = " & nlens ~5 pC$SC6>  
    l8xd73D)8  
        '************************************************************************* aC yb-P  
        'Pupil diameter Z#Zzi5<  
        '************************************************************************* y'!p>/%v  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) KPjqw{gR_R  
    P}+|`>L  
        'Adjust pupil diameter (trimming volume inner hole) CESe}^)n  
    +z(,A  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" ro&Y7m  
    9[p }.9/  
        ' Adjust pupil location to just in front of the lens -{8Q= N  
        parID = FindFullName( "Geometry.Arizona Eye" ) [> &+*c  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) |t65# 1  
        count = 0 I"cQ5gF?A  
        While GetOperationCount(eID)>count VIz{}_~'s  
            GetOperation eID, count, op s/G5wRl<  
            If op.Type="ShiftZ" Then 9S H<d)^  
                DeleteOperation eID,count Tt<-<oyU.  
                count=count-1 0J:U\S  
            End If U.pr} hq  
            count=count+1 e(n2+S#N  
        Wend TFJ{fLG  
        op.Type = "ShiftZ" XuFm4DEJ  
        op.val1 = taq-0.01 c ;21i;&,9  
        op.parent = parID [2QY  
        AddOperation eID, op D2TXOPH  
    tLXn?aNY  
        Print "Set pupil diameter = " & pupilDiam t|#NMRz  
    ilIV}8  
        'Update AZ Eye subassembly Description (ciGLfNG  
        eID = FindFullName( "Geometry.Arizona Eye" ) }uvKE|umj  
        GetEntity eID, entity f`u5\!}=!  
        entity.Description = "Accommodation = " & A & "D" Pzk[^z$C  
        SetEntity eID, entity 2yJ7]+Jd7Y  
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        Update E2qB:  
        Print "DONE!" xyS2_Q  
         '#McY'.D T  
    End Sub %|`:5s-T%  
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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: Y uw E 0  
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    Accommodation = 4 Diopters NWQPOq#  
    Pupil Diameter = 4 mm Lt;.Nw  
    Set aqueous humor thickness = 2.81 h=v[i!U-eY  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 U5On-T5  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 :\1rQT  
    Set lens thickness = 3.927 PUQ_w  
    Set lens index of refraction = 1.42672 [.#p  
    Set pupil diameter = 4 (5Z8zNH`3  
    DONE! _o&,  
    taWirq d9  
    -~( 0O  
    QQ:2987619807 .fLiXx  
     
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