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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 kKVd4B[#*  
    s:lar4>kM  
    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。 s|rlpd4y  
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    模型 }1]/dCv  
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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。 vK6YU9W~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. c[E{9wp v  
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    光源 V#[I/D  
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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。 } [}u5T`w>  
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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<gZB:~  
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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。 V&vU her0  
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    图2. 字母F光源的设定方法光 g]85[xz  
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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 LSb3w/3M  
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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。 rB;` &)-  
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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。 ;tTM3W-h  
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    图5. 视网膜重点采样规格设定
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    脚本 &[,g `S0  
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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: L;/#D>U(  
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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。 +*'  
    余下的脚本计算与屈光度有关的所有参数。 SjD,  
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    分析 z1}YoCj1  
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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。 uXq?Z@af|f  
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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 H6E@C}cyM  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. rg+28tlDn  
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    Dim entity As T_ENTITY k| 0Fa}Z[  
    Dim op As T_OPERATION "wL~E Si  
    Dim mat As T_MODELMATERIAL $_ub.g|  
    Dim A As Double .B*Yg<j  
    Dim pupilDiam As Double 2!f0!<te  
    Dim eID As Long }u cqzdk#2  
    Dim parID As Long IIeEe7%#  
    Dim count As Integer Ht+ng  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double )?~3fb6^  
    Dim tlens As Double, nlens As Double #b\&Md|;  
    Dim curv As Double, conic As Double ;y<)RM  
    Dim ok As Long Hb 'fEo r  
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    Sub Main Y<TlvB)w  
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        '用户输入对话框 !OWVOq8  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 VOwt2&mZ  
            TextBox 220,21,40,21,.TextBox1 'default: 0 RtH[OZu(8  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 dvxD{UH  
            OKButton 40,91,90,21 P]!$MOt  
            CancelButton 190,91,90,21 $D5[12X  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 1~8F&  
            TextBox 220,49,40,21,.TextBox2 'default: 4 ^.Q{Aqu#.H  
        End Dialog $>v^%E;Y4  
        Dim dlg As UserDialog //@_`.  
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        ok = Dialog (dlg) jjBcoQU$o  
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        If ok=0 Then    'cancel button was pressed 2T5@~^:7u  
            Print "Execution cancelled." RBr  
            End [?Y u3E\  
        End If F`8A!|cIy  
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        'Assign accommodation and pupil diameter & use defaults if field left empty D}"\nCz}y&  
        If dlg.TextBox1 = "" Then O/_} O_rR  
            A = 0           'Default accommodation <kn#`w1U'  
        Else Q nZR  
            A = CDbl(dlg.TextBox1) ~] Mq'  
        End If JiZ9ly( G  
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        If dlg.TextBox2 = "" Then q9pBS1Ej  
            pupilDiam = 4   'Default pupil diameter ;w4rwL  
        Else \F,?ptu  
            pupilDiam = CDbl(dlg.TextBox2) o"[P++qd  
        End If z%ljEI"<C  
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        Print " " 7qon:]b4  
        Print "Accommodation = " & A & " Diopters" \s&w0V`Y  
        Print "Pupil Diameter = " & pupilDiam & " mm" ;G!X?(%+  
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        ' Calculate new parameters with accommodation <<(~'$~,L  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness r&}fn"H!  
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        Rant = 12.0 - 0.4*A                     'Radius of anterior lens ^]'p927  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens +<:p`%  
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        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens W~W^$A  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens )U<4ul  
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        tlens = 3.767 + 0.04*A                  'Lens thickness  _+|*  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction {xEX_$nv  
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        'Adjust parameters to account for accommodation 1}S_CR4XBs  
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        '************************************************************************* >~BU<#  
        'Aqueous thickness (Position of Lens) C'n 9n!hR  
        '************************************************************************* 3I:DL#f  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) TW3:Y\p  
        GetCustomElement eID, entity <n }=zu  
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        parID = FindFullName( "Geometry.Arizona Eye" ) Y+/ofk "  
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        ' Delete any shift(s) in z +hjc~|RK  
        count = 0 }C" #b\A2  
        While GetOperationCount(eID)>count \_x)E]D  
            GetOperation eID, count, op b% $S6.  
            If op.Type="ShiftZ" Then 6J%SkuxR  
                DeleteOperation eID,count b@1QE  
                count=count-1 dUb(C1h  
            End If 6ap,XFRMh  
            count=count+1 Z|8f7@k{|+  
        Wend \vQ_:-A  
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        'Set new shift in `9K'I-hv<8  
        op.Type = "ShiftZ" ::TUSz2/2  
        op.val1 = taq 7Fy^K;V"  
        op.parent = parID W:rzfO.`Z  
        AddOperation eID, op NPB':r-8  
        Print "Set aqueous humor thickness = " & taq-0.55 zztW7MG2lQ  
    "a,Tc2xk  
        '************************************************************************* 2vWkAC;   
        'Radius and conic constant of anterior lens uT-WQ/id  
        '************************************************************************* MIR17%G  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) }ZYK3F  
        GetConic eID, entity, curv, conic E\V>3rse  
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        SetConic eID, entity, 1/Rant, CCant 6_XX[.%  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant zLxWyPM0;  
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        '************************************************************************* +IS$Un  
        'Radius and conic constant of posterior lens VwC, +B  
        '************************************************************************* m};_\Db`  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) 3\(s=- vh  
        GetConic eID, entity, curv, conic [MiD%FfcNH  
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        SetConic eID, entity, 1/Rpost, CCpost B=Zo0 p^  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost !)\`U/.W  
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        '************************************************************************* aD&10b9`  
        'Lens thickness (Position of posterior lens surface) P$pl  
        '************************************************************************* uO^{+=;A =  
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        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) Sl$dXB@  
    ?QuFRl,ZJ  
        ' Delete any z-shift(s) 1:>RQPXcWv  
        count = 0 *Lh0E/5  
        While GetOperationCount(eID)>count [j!0R'T  
            GetOperation eID, count, op 9*2hBNp+  
            If op.Type="ShiftZ" Then vfy- ;R(  
                DeleteOperation eID,count V_ ]4UE  
                count=count-1 %^5$=w  
            End If Me`"@{r|#  
            count=count+1 9J|YP}%  
        Wend =  Oq;  
    6u.b?_u  
        'Set new z-shift u j:w^t ][  
        op.Type = "ShiftZ" "QlCcH`g  
        op.val1 = tlens /kJ*WA?J  
        op.parent = parID \`XJz{Lm]  
        AddOperation eID, op /60[T@Mz  
        Print "Set lens thickness = " & tlens =x^I 5Pn  
    !t_,x=  
        '************************************************************************* O]PfQ  
        'Lens index of refraction n!N;WL3k  
        '************************************************************************* l+N?:E$5=%  
        eID = FindMaterial( "Lens" ) w"BTu-I  
        GetModelMaterial eID, mat )5&m:R9  
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        mat.Nd = nlens W4#:_R,&,  
        SetModelMaterial eID, mat X,q= JS  
        Print "Set lens index of refraction = " & nlens JPpYT~4  
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        '************************************************************************* |Ji?p>\~  
        'Pupil diameter T.|0;Eb  
        '************************************************************************* H?~u%b@   
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) nRo`O  
    ~/#?OLj(T  
        'Adjust pupil diameter (trimming volume inner hole) z`Q5J9_<cV  
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        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" 7<tqT @c  
    P"]+6sm&es  
        ' Adjust pupil location to just in front of the lens %-*vlNC)  
        parID = FindFullName( "Geometry.Arizona Eye" ) \W\6m0-x  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) CX:^]wY  
        count = 0 Q O?ha'Sl  
        While GetOperationCount(eID)>count 05zHLj  
            GetOperation eID, count, op bF Vd v&  
            If op.Type="ShiftZ" Then Mb9q<4  
                DeleteOperation eID,count iwVra"y  
                count=count-1 7L\GI`y  
            End If #0P<#S^7  
            count=count+1 FU[,,a0<<  
        Wend Mu( Y6  
        op.Type = "ShiftZ" HcVPJuD  
        op.val1 = taq-0.01 0Fw\iy1o  
        op.parent = parID |l? ALP_g  
        AddOperation eID, op U-? ^B*<  
    XVLuhw i  
        Print "Set pupil diameter = " & pupilDiam _F*w ,b$8  
    ,G:4H%?  
        'Update AZ Eye subassembly Description TZP{=v<  
        eID = FindFullName( "Geometry.Arizona Eye" ) N1Z8I:  
        GetEntity eID, entity YH[_0!JY^  
        entity.Description = "Accommodation = " & A & "D" O}`01A!u;  
        SetEntity eID, entity 4l1=l#\S  
    $oQsh|sTI  
        Update 3D.S[^s*  
        Print "DONE!" q7]WR(e  
         5HIpoj;\(  
    End Sub WV@Tm$ r  
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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: qN0#=X  
    P3yiJ|vP  
    Accommodation = 4 Diopters u7C{>  
    Pupil Diameter = 4 mm ygW@[^g  
    Set aqueous humor thickness = 2.81 9e)+<H  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 .apX72's,  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 _Ry.Wth  
    Set lens thickness = 3.927 uy9B8&Sr  
    Set lens index of refraction = 1.42672 KVcZ@0[S  
    Set pupil diameter = 4 nMa^Eq#  
    DONE! vg.%.~!9  
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