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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 hcM9Sx"!  
    !ST7@D  
    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。 Q5A,9ovNZ  
    Ta$55K0  
    模型 9z`72(  
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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。  > H&v  
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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. 5gkQ6& m  
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    光源 dc0&*/`:  
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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。 abv*X 1  
    Z>l|R C  
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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。 g W_E  
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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。 !p76I=H%  
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    图2. 字母F光源的设定方法光 u8t|!pMF8  
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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 T]/5aA4  
    + )z5ai0m  
    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。 =M}tet }  
    /r2S1"(q  
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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。 lr[T+nQ  
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    图5. 视网膜重点采样规格设定
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    脚本 R NQq"c\  
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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: EZzR"W/  
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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。 +FAxqCkA  
    余下的脚本计算与屈光度有关的所有参数。 D?UURURf  
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    分析 {$5g29  
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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。 ,0ilNi>  
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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 Zy.A9 Bh~  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. "5z@A/Z/  
    N=7iQ@{1   
    Dim entity As T_ENTITY $06('Hg&  
    Dim op As T_OPERATION =HJ7tele  
    Dim mat As T_MODELMATERIAL K :kb&W  
    Dim A As Double @'5*jXd  
    Dim pupilDiam As Double p~Cz6n  
    Dim eID As Long xB[W8gQ6fa  
    Dim parID As Long zGNW5S9G  
    Dim count As Integer mP/#hwzB&q  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double PIXqd,  
    Dim tlens As Double, nlens As Double ^*+M9e9Z  
    Dim curv As Double, conic As Double SSTn |  
    Dim ok As Long ?B$L'i[l  
    hOkn@F.  
    Sub Main l'M/et{:  
    $tI<MZ&Z  
        '用户输入对话框 b:r8r}49  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 Xit@.:a;  
            TextBox 220,21,40,21,.TextBox1 'default: 0 S:Jg#1rww-  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 3 {hUp81>  
            OKButton 40,91,90,21 Z!Z{Gm3  
            CancelButton 190,91,90,21 aMxj{*v7  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 $G6kS@A  
            TextBox 220,49,40,21,.TextBox2 'default: 4 k@s<*C  
        End Dialog >mpNn  
        Dim dlg As UserDialog Mk=*2=d  
    [s\8@5?E  
        ok = Dialog (dlg) ^$C&{%  
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        If ok=0 Then    'cancel button was pressed w ^^l,  
            Print "Execution cancelled." 6uKth mr  
            End \x:U`T  
        End If Iw`|,-|  
    B u%%O8  
        'Assign accommodation and pupil diameter & use defaults if field left empty >R_m@$`  
        If dlg.TextBox1 = "" Then 8B-mZFXpK  
            A = 0           'Default accommodation 1Y;.fZE  
        Else -!mtLaLw  
            A = CDbl(dlg.TextBox1) <P ?gP1_zi  
        End If 2xiE#l-V2  
    .Ln98#ZR  
        If dlg.TextBox2 = "" Then `QRXQ c  
            pupilDiam = 4   'Default pupil diameter wtfH3v  
        Else 9z{g3m70@  
            pupilDiam = CDbl(dlg.TextBox2) X8}\m%gCU  
        End If z C$F@  
    -5]lHw}  
        Print " " @8w5Oudvx  
        Print "Accommodation = " & A & " Diopters" V2AsZc0U(  
        Print "Pupil Diameter = " & pupilDiam & " mm" __s'/ 6u  
    Rq e|7/As  
        ' Calculate new parameters with accommodation J>G'H)  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness <HTz  
    ntB#2S  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens aIQC[ry  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens /*BK6hc  
     W/u(9  
        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens Y,yU460T8  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens 0H.bRk/P+  
     b{)kup  
        tlens = 3.767 + 0.04*A                  'Lens thickness WA1yA*S  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction fF>hca>  
    /.rj\,  
        'Adjust parameters to account for accommodation 6vxRam6[??  
    " W{rS4L  
        '************************************************************************* \6.dGKK  
        'Aqueous thickness (Position of Lens) [`E_/95  
        '************************************************************************* l-20X{$m:  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) -^t.eZ*|  
        GetCustomElement eID, entity GUM-|[~  
    Wd(|w8J{a  
        parID = FindFullName( "Geometry.Arizona Eye" ) \L$]2"/v-  
    ]TUoXU2<x  
        ' Delete any shift(s) in z 3D5adI<aq"  
        count = 0 N%q{CYF6  
        While GetOperationCount(eID)>count :SO4@JT{W  
            GetOperation eID, count, op xC= $ym]  
            If op.Type="ShiftZ" Then zVe,HKF/  
                DeleteOperation eID,count Oml3=TV  
                count=count-1 nGK=Nf.5  
            End If x*tCm8`{  
            count=count+1 oRcP4k;d=  
        Wend +XX5;;IC  
    p`Tl)[*  
        'Set new shift in *%_M?^  
        op.Type = "ShiftZ" <nV3`L&]  
        op.val1 = taq nehk8+eV_  
        op.parent = parID X|g5tnsj`  
        AddOperation eID, op TV_a(#S   
        Print "Set aqueous humor thickness = " & taq-0.55 `:m=rT_  
    s(s_v ?k  
        '************************************************************************* +!`$(  
        'Radius and conic constant of anterior lens SX =^C  
        '************************************************************************* ?}W#j  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) \k6OP  
        GetConic eID, entity, curv, conic 2v4&'C  
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        SetConic eID, entity, 1/Rant, CCant L"?4}U:  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant dvY3=~'  
    n[v`F  
        '************************************************************************* ,m7Z w_.  
        'Radius and conic constant of posterior lens $(OL#>9Ly  
        '************************************************************************* %wu,c e]*  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) c$u#U~~  
        GetConic eID, entity, curv, conic }095U(@  
    9n\v{k=  
        SetConic eID, entity, 1/Rpost, CCpost i*09m^r  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost u8<Fk !  
    eISHV.QV  
        '************************************************************************* j *N^.2  
        'Lens thickness (Position of posterior lens surface) M3GFKWQI,`  
        '************************************************************************* $SniQ  
    i !SN"SY  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) ^;\6ju2  
    rXe+#`m2  
        ' Delete any z-shift(s) 4`r-*Lx  
        count = 0 jlUT9Zp  
        While GetOperationCount(eID)>count abEdZ)$  
            GetOperation eID, count, op F:0 E- z'  
            If op.Type="ShiftZ" Then b+CvA(*  
                DeleteOperation eID,count #\z"k<{*  
                count=count-1 aKRnj!4z  
            End If pf=CP%L  
            count=count+1 /wHfc[b>  
        Wend ry* 9  
    E`iE]O  
        'Set new z-shift sP8_Y,  
        op.Type = "ShiftZ" (Fk&~/SP  
        op.val1 = tlens 5y~B/.YY  
        op.parent = parID XR#?gx.}  
        AddOperation eID, op g%4=T~  
        Print "Set lens thickness = " & tlens L'>0E(D  
    A2fuNV_  
        '************************************************************************* eN<?rVZl  
        'Lens index of refraction k.H4Mf(4  
        '************************************************************************* b3-+*5L  
        eID = FindMaterial( "Lens" ) #q?:Act  
        GetModelMaterial eID, mat Az(J @  
    ve(@=MJ  
        mat.Nd = nlens [{+ZQd  
        SetModelMaterial eID, mat ]k.YG!$  
        Print "Set lens index of refraction = " & nlens q&wv{  
    "fd'~e$S#  
        '************************************************************************* + j6^g*  
        'Pupil diameter *AYjMCo  
        '************************************************************************* tZD^<Q7}\  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) Z2k5qs7g  
    B :1r;8{j  
        'Adjust pupil diameter (trimming volume inner hole) `{S4_'  
    @#5?tk0  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" k@2@%02o9C  
    45Q#6Bt E  
        ' Adjust pupil location to just in front of the lens Yb>A?@S  
        parID = FindFullName( "Geometry.Arizona Eye" ) };8PPR)\y  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) .[o?qCsw  
        count = 0 t~]tw  
        While GetOperationCount(eID)>count -/6Ms%O  
            GetOperation eID, count, op BOW`{=  
            If op.Type="ShiftZ" Then !f8]gTzN  
                DeleteOperation eID,count k=5v J72U  
                count=count-1 mDIN%/S'  
            End If 'jU;.vZex  
            count=count+1 |DoD.?v  
        Wend fu`|@S  
        op.Type = "ShiftZ" ebB8.(k9G3  
        op.val1 = taq-0.01 TbhsOf!  
        op.parent = parID M4}zRr([.5  
        AddOperation eID, op 7C^W<SUo  
    kS(v|d  
        Print "Set pupil diameter = " & pupilDiam Kdd5ysTQ  
    VK$s+"  
        'Update AZ Eye subassembly Description ^g N?Io  
        eID = FindFullName( "Geometry.Arizona Eye" ) }F)eA1  
        GetEntity eID, entity )%(H'omvl  
        entity.Description = "Accommodation = " & A & "D" k|_LF[*Z  
        SetEntity eID, entity [ST7CrwC  
    -- |L?-2k,  
        Update \EeK<)4:  
        Print "DONE!" %;tBWyq}_  
         UL\gcZ Zkl  
    End Sub Y>'t)PK  
    r1Cq8vD*m  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: U^xtS g  
    ;!/g`*?  
    Accommodation = 4 Diopters ndB*^nT  
    Pupil Diameter = 4 mm ^o6&|q  
    Set aqueous humor thickness = 2.81 F%e5j9X`  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 n%:&N   
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 zRF +D+  
    Set lens thickness = 3.927 H}&4#CQ'!  
    Set lens index of refraction = 1.42672 RB/;qdqR  
    Set pupil diameter = 4 a6.0 $'  
    DONE! '9q:gFO  
    {,CvWL  
    6I$:mHEhd  
    QQ:2987619807 GxcW^{;  
     
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