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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 1;P\mff3Y  
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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。  +o  
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    模型  mb/[2y<  
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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。 eC$v0Gtq  
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    Table 1. AZ眼睛模型的定义
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    在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. C' ._}\nX  
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    光源 lz(,;I'x  
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    多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 %-l:_A  
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    图1. 光源和提示信息使用
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    除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 s.sy7%{  
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    在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 qYiAwK$  
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    图2. 字母F光源的设定方法光 ^I{]Um:  
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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 <~M9 nz(<  
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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。 ? ~Zrd  
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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。 0lCd,a 2:  
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    图5. 视网膜重点采样规格设定
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    脚本 xD# I&.  
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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-$td~r  
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    图6. 用户对话框的创建与编辑
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    图7. 用户对话框编辑器
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    如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 T(UYlLe  
    余下的脚本计算与屈光度有关的所有参数。 1K9?a;.  
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    分析 3cO[t\/up  
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    屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 M3@fc,Ch  
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    图7. 字母F在视网膜上颜色分析
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    脚本代码 %]0U60  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. ""'eTpe  
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    Dim entity As T_ENTITY 2Lekckgv  
    Dim op As T_OPERATION G=!bM(]R~  
    Dim mat As T_MODELMATERIAL wT~;tOw~  
    Dim A As Double aE+$&_>ef  
    Dim pupilDiam As Double bC>>^?U1m  
    Dim eID As Long @\`G & VB  
    Dim parID As Long ,35: Srf|  
    Dim count As Integer gpK_0?%  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double u AS8F=9xP  
    Dim tlens As Double, nlens As Double tW.>D;8  
    Dim curv As Double, conic As Double y2"S\%7$h  
    Dim ok As Long vDeG20.?Z  
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    Sub Main JJ9e{~0 I  
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        '用户输入对话框 x]><}! \<&  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 2<o[@w  
            TextBox 220,21,40,21,.TextBox1 'default: 0 1X"H6j[w  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 <6b\i5j  
            OKButton 40,91,90,21 [{p?BTs  
            CancelButton 190,91,90,21 H"GE\  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 RQS:h]?:l  
            TextBox 220,49,40,21,.TextBox2 'default: 4 mGpkM?Y"  
        End Dialog VWA-?%r  
        Dim dlg As UserDialog lDPRn~[#\  
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        ok = Dialog (dlg) aRO_,n9  
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        If ok=0 Then    'cancel button was pressed zNr_W[  
            Print "Execution cancelled." =PKt09b^  
            End wdcryejCkr  
        End If N 1f~K.e\  
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        'Assign accommodation and pupil diameter & use defaults if field left empty ?fa,[r|G  
        If dlg.TextBox1 = "" Then _ U8OIXN  
            A = 0           'Default accommodation gvc' $9%  
        Else o(X90X  
            A = CDbl(dlg.TextBox1) :Bv&)RK  
        End If ]i,Mq  
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        If dlg.TextBox2 = "" Then oY2?W  
            pupilDiam = 4   'Default pupil diameter K!- &Zv  
        Else Fe& n,  
            pupilDiam = CDbl(dlg.TextBox2) OZC/+"\,  
        End If X\p`pw$  
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        Print " " uU[[[LQq  
        Print "Accommodation = " & A & " Diopters" tU)r[2H2  
        Print "Pupil Diameter = " & pupilDiam & " mm" *@G(3 n  
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        ' Calculate new parameters with accommodation K+ 7yUF8XP  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness g=oeS%>E  
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        Rant = 12.0 - 0.4*A                     'Radius of anterior lens ndKvJH4  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens Ic{'H2~4,  
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        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens @wB'3q}(  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens m.HX2(&\3  
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        tlens = 3.767 + 0.04*A                  'Lens thickness *3F /Ft5  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction W p7@  
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        'Adjust parameters to account for accommodation CFkW@\]  
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        '************************************************************************* VeD+U~ d  
        'Aqueous thickness (Position of Lens) nv_m!JG7  
        '************************************************************************* zO).<xIq+  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) 0$f_or9T  
        GetCustomElement eID, entity `b^#quz  
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        parID = FindFullName( "Geometry.Arizona Eye" ) ~.4W,QLuD  
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        ' Delete any shift(s) in z x  tYV"  
        count = 0 'XP>} m  
        While GetOperationCount(eID)>count ,Ou1!`6?t  
            GetOperation eID, count, op U+9- li  
            If op.Type="ShiftZ" Then ]uStn   
                DeleteOperation eID,count qL%.5OCn(  
                count=count-1 "LP, TC  
            End If M!&_qj&N,  
            count=count+1 nCffBc  
        Wend +K$5tT6b  
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        'Set new shift in vB{; N  
        op.Type = "ShiftZ" up+.@h{  
        op.val1 = taq /`4v"f0V  
        op.parent = parID ~{1/*&P  
        AddOperation eID, op C}(<PNT  
        Print "Set aqueous humor thickness = " & taq-0.55 G!!-+n<  
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        '************************************************************************* XI@6a9Uk  
        'Radius and conic constant of anterior lens e'k;A{Oh  
        '************************************************************************* 1EC-e|M.  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) Qm35{^p+  
        GetConic eID, entity, curv, conic _S9rF-9G]  
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        SetConic eID, entity, 1/Rant, CCant ^MWEfPt  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant m0x J05Zx  
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        '************************************************************************* ?o(ZTlT  
        'Radius and conic constant of posterior lens pgz:F#>  
        '************************************************************************* w|!YoMk+o  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) b"ol\&1 #  
        GetConic eID, entity, curv, conic P[Y{LKAbb  
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        SetConic eID, entity, 1/Rpost, CCpost 86;+r'3p.  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost m%e^&N#%6r  
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        '************************************************************************* qy7hkq.uX  
        'Lens thickness (Position of posterior lens surface) bc3|;O  
        '************************************************************************* H$NP1^5!  
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        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) 1KeJd&e  
    -:)DX++  
        ' Delete any z-shift(s) J- t=1  
        count = 0 wb(*7 &eP:  
        While GetOperationCount(eID)>count A|p@\3 P*A  
            GetOperation eID, count, op c&E*KfOG  
            If op.Type="ShiftZ" Then l 8O"w&  
                DeleteOperation eID,count *A~($ZtL  
                count=count-1 i&A{L}eCr:  
            End If 2x-'>i_|g  
            count=count+1 l?3vNa FeR  
        Wend :[y]p7;{f  
    a(PjcQ4dY  
        'Set new z-shift HBt|}uZ?6i  
        op.Type = "ShiftZ" ?ada>"~GR_  
        op.val1 = tlens 6@"Vqm|HD  
        op.parent = parID lTa1pp Zw  
        AddOperation eID, op R(M}0JRm  
        Print "Set lens thickness = " & tlens Hnfvo*6d.e  
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        '************************************************************************* GwgFi@itN  
        'Lens index of refraction _ oQtk^fp  
        '************************************************************************* [Xxw]C6\>(  
        eID = FindMaterial( "Lens" ) #^5a\XJb  
        GetModelMaterial eID, mat <'r0r/0g?  
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        mat.Nd = nlens B1|?RfCe  
        SetModelMaterial eID, mat ?cqicN.+6  
        Print "Set lens index of refraction = " & nlens AyE%0KmraK  
    yr FZ~r@-  
        '************************************************************************* U8 Z~Y}29  
        'Pupil diameter 4 hL`=[AB  
        '************************************************************************* 6P0y-%[Gk  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) TF BYY{Y  
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        'Adjust pupil diameter (trimming volume inner hole) nVz5V%a!\q  
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        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" /)sDnJ1r  
    fp9rO}##  
        ' Adjust pupil location to just in front of the lens q $t&|{  
        parID = FindFullName( "Geometry.Arizona Eye" ) TcR=GR*cJ  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) /m97CC#+  
        count = 0 ZrFr`L5F;  
        While GetOperationCount(eID)>count y:qx5Mi  
            GetOperation eID, count, op 1v;'d1Hg;  
            If op.Type="ShiftZ" Then 4BHtR017r  
                DeleteOperation eID,count j%#?m2J}  
                count=count-1 +#0~:&!9  
            End If 7;^((.]ln  
            count=count+1 .6\T`6H=a  
        Wend J cP~-cp  
        op.Type = "ShiftZ" Kp8fh-4_  
        op.val1 = taq-0.01 AnRlH  
        op.parent = parID -oU@D  
        AddOperation eID, op E^7C _JP  
    7 n\mj\  
        Print "Set pupil diameter = " & pupilDiam Y [4vRzc  
    : aHcPc:  
        'Update AZ Eye subassembly Description -UJ?L  
        eID = FindFullName( "Geometry.Arizona Eye" ) b2G2c L-(  
        GetEntity eID, entity Ud$Q0m&  
        entity.Description = "Accommodation = " & A & "D" ~D*b3K 8X  
        SetEntity eID, entity X2i*iW<  
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        Update ,g%o  
        Print "DONE!" p=2zS.  
         {nTG~d  
    End Sub Sc$gnUYD{  
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    如果屈光度是4,光瞳直径是4,则会输出如下数据: 7LG+$LEz  
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    Accommodation = 4 Diopters ~ W@X-  
    Pupil Diameter = 4 mm Gv;;!sZ  
    Set aqueous humor thickness = 2.81 = PV/`I_h  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 h(_P9E[g  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 "t=UX -3  
    Set lens thickness = 3.927 n|6?J_{<b>  
    Set lens index of refraction = 1.42672 #hpIyy%n  
    Set pupil diameter = 4 L1rwIOgq^  
    DONE! <3lUV7!  
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