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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 kv&%$cA  
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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。 j*f%<`2`j  
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    模型 jUtrFl  
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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。 E9pKR+P  
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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.  A]R7H1  
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    光源 pq_DYG]  
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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。 ms'&.u&<  
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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。 #<f}.P.Uc  
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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。 6 GX'&z  
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    图2. 字母F光源的设定方法光 rubqk4  
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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 dVc;Tt  
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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。 IrQ8t!  
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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。 :|`' \%zW-  
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    图5. 视网膜重点采样规格设定
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    脚本 lz\{ X  
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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: X@Eq5s  
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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。 *E:w377<}  
    余下的脚本计算与屈光度有关的所有参数。 _Ptf^+  
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    分析 ju0]~,  
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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。 L`FsK64@  
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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 gXI_S9 z  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. /eDah3%d  
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    Dim entity As T_ENTITY OdgfvHDgW  
    Dim op As T_OPERATION Uo(\1&?  
    Dim mat As T_MODELMATERIAL Rg)\o(J  
    Dim A As Double g*t.g@B<2  
    Dim pupilDiam As Double Dn$zwksSs  
    Dim eID As Long %8`zaa  
    Dim parID As Long ^q"p 8   
    Dim count As Integer $>'}6?C.  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double 9;dP7o  
    Dim tlens As Double, nlens As Double C fQj7{  
    Dim curv As Double, conic As Double %s$_KG!&  
    Dim ok As Long Xn.zN>mB  
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    Sub Main nhk +9  
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        '用户输入对话框 RUf,)]Vvk  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 ./kmI#gaV  
            TextBox 220,21,40,21,.TextBox1 'default: 0 ]=9%fA  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 @^Mn PM  
            OKButton 40,91,90,21 d|on y  
            CancelButton 190,91,90,21 IOF~V)8k=  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 vtR<(tOu@  
            TextBox 220,49,40,21,.TextBox2 'default: 4 ig; ~ T  
        End Dialog R.A}tV=j#  
        Dim dlg As UserDialog 9L%&4V}BIS  
    }n=Tw92g  
        ok = Dialog (dlg) \ :})R{  
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        If ok=0 Then    'cancel button was pressed %P_\7YBC>  
            Print "Execution cancelled." =%U t&6}sQ  
            End M(Jf&h4b  
        End If PZLWyp  
    AEPgQ9#E  
        'Assign accommodation and pupil diameter & use defaults if field left empty ""D rf=]  
        If dlg.TextBox1 = "" Then }y|% wym  
            A = 0           'Default accommodation XT>e/x9'  
        Else cWFvYF  
            A = CDbl(dlg.TextBox1) $0LlaN@e  
        End If A40 -])'!  
    'P@a_*I  
        If dlg.TextBox2 = "" Then  t8GJ;  
            pupilDiam = 4   'Default pupil diameter `<HY$PAe  
        Else Btpx[T  
            pupilDiam = CDbl(dlg.TextBox2) ,wO5IaV  
        End If Km+29  
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        Print " " =AgY8cF!sl  
        Print "Accommodation = " & A & " Diopters" 1}[\@n+b  
        Print "Pupil Diameter = " & pupilDiam & " mm" @GnsW;$*~.  
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        ' Calculate new parameters with accommodation wk9tJ#}  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness ?N11R?8  
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        Rant = 12.0 - 0.4*A                     'Radius of anterior lens `9K'I-hv<8  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens ::TUSz2/2  
    7Fy^K;V"  
        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens Tj:+:B(HB  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens J\;~(: ~  
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        tlens = 3.767 + 0.04*A                  'Lens thickness "a,Tc2xk  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction uT-WQ/id  
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        'Adjust parameters to account for accommodation JH)&Ca>S  
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        '************************************************************************* Jr''S}@|x  
        'Aqueous thickness (Position of Lens) 6_XX[.%  
        '************************************************************************* zLxWyPM0;  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) W_sDF; JP  
        GetCustomElement eID, entity e6F:['j  
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        parID = FindFullName( "Geometry.Arizona Eye" ) 8L=QfKr  
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        ' Delete any shift(s) in z =<e#  2  
        count = 0 ' > \*  
        While GetOperationCount(eID)>count 'rR\H2b   
            GetOperation eID, count, op l^Lg"m2  
            If op.Type="ShiftZ" Then *JpEBtTv=5  
                DeleteOperation eID,count Fa/i./V2  
                count=count-1 P@5^`b|  
            End If ;<&s _C3  
            count=count+1 v>nJy~O]  
        Wend zP9 HYS  
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        'Set new shift in E'r* g{,  
        op.Type = "ShiftZ" O'wN4qb=F  
        op.val1 = taq e<C5}#wt  
        op.parent = parID iww h,(  
        AddOperation eID, op +Nza@B d  
        Print "Set aqueous humor thickness = " & taq-0.55 Z].>U!7W  
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        '************************************************************************* CZa9hsM  
        'Radius and conic constant of anterior lens huq6rA/i  
        '************************************************************************* Yd<~]aXM   
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) eq@ v2o7  
        GetConic eID, entity, curv, conic @+{S-iD"  
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        SetConic eID, entity, 1/Rant, CCant d&ZwVF!  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant H@ w6.[#  
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        '************************************************************************* 7H[+iS0  
        'Radius and conic constant of posterior lens qq?>ulu*W  
        '************************************************************************* 9 /zz@  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) !^LvNW\|  
        GetConic eID, entity, curv, conic w"BTu-I  
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        SetConic eID, entity, 1/Rpost, CCpost Vm.u3KE  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost W4#:_R,&,  
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        '************************************************************************* JPpYT~4  
        'Lens thickness (Position of posterior lens surface) q2 f/#"k  
        '************************************************************************* z)]EB6uRg  
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        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) VAthQ<  
    21WqLgT3 4  
        ' Delete any z-shift(s) Dr2h-  
        count = 0 sEj:%`l|  
        While GetOperationCount(eID)>count uo65i 1oi  
            GetOperation eID, count, op I;|Aiu*  
            If op.Type="ShiftZ" Then ( ou:"Y  
                DeleteOperation eID,count &6:,2W&s  
                count=count-1 JZv]tJWq  
            End If 2h:f6=)r/u  
            count=count+1 >3kR~:;  
        Wend 2+P3Sii  
    '~f@p~P  
        'Set new z-shift P0Jd6"sS"  
        op.Type = "ShiftZ" ~d%Q1F*,=  
        op.val1 = tlens ef. lM]cO  
        op.parent = parID QP;b\1 1m  
        AddOperation eID, op 0F3>kp4u  
        Print "Set lens thickness = " & tlens \=_8G:1  
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        '************************************************************************* 3Mcz9exY  
        'Lens index of refraction "p; DQ-V  
        '************************************************************************* * c%@f<R~  
        eID = FindMaterial( "Lens" ) n=SZ8Rj7  
        GetModelMaterial eID, mat Y5NbY02E  
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        mat.Nd = nlens Ly<;x^D  
        SetModelMaterial eID, mat }?~uAU-  
        Print "Set lens index of refraction = " & nlens X or ,}. w  
    IL=v[)en4  
        '************************************************************************* o"FX+ 17  
        'Pupil diameter c@^:tB  
        '************************************************************************* p%ZiTrA1&D  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) 'H'+6   
    {x4[Bx1  
        'Adjust pupil diameter (trimming volume inner hole) :^s7#4%6  
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        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" |)4$\<d  
    (p?3#|^  
        ' Adjust pupil location to just in front of the lens ]dK]a:S  
        parID = FindFullName( "Geometry.Arizona Eye" ) ]p*) PpIl  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) h.9Lh ;j  
        count = 0 '=~y'nPG7  
        While GetOperationCount(eID)>count pzax~Vp  
            GetOperation eID, count, op ) e2IT*7  
            If op.Type="ShiftZ" Then PJYA5"}W  
                DeleteOperation eID,count 9HE(*S  
                count=count-1 }H#t( 9,U  
            End If sKuTG93sr@  
            count=count+1 }>w  
        Wend xI4I1"/  
        op.Type = "ShiftZ" 9aU:[]w  
        op.val1 = taq-0.01 0;h1LI)  
        op.parent = parID tN{t-xUgk  
        AddOperation eID, op ^0|NmMJ]  
    f0`' i[  
        Print "Set pupil diameter = " & pupilDiam u0Erz0*G4  
    :ky<`Jfr`  
        'Update AZ Eye subassembly Description Crhi+D  
        eID = FindFullName( "Geometry.Arizona Eye" ) h3lDDyu  
        GetEntity eID, entity V0 F30rK  
        entity.Description = "Accommodation = " & A & "D" tv OAN|+F  
        SetEntity eID, entity .lBY"W&{  
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        Update `zp2;]W  
        Print "DONE!" hu|hOr8  
         ]X~g@O{>_  
    End Sub ow_y  
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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: 0Mu8ZVI{  
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    Accommodation = 4 Diopters ?a>7=)%AH  
    Pupil Diameter = 4 mm v7(|K  
    Set aqueous humor thickness = 2.81 7F(F.ut  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 yJ8}*Gj&  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 vNt>ESPB  
    Set lens thickness = 3.927 EOX_[ek7  
    Set lens index of refraction = 1.42672 1 j12Qn@]  
    Set pupil diameter = 4 &U~r}=  
    DONE! uT}TSwgp  
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