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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 %a'Nf/9=:  
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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。 ~!t#M2Sk  
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    模型 BXzn-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。 2aDjt{7P  
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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. MAv-`8@|  
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    光源 b6]MJ0do  
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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。 >'/KOK"  
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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。 2#i*'.  
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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。 O ,9,= 2j  
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    图2. 字母F光源的设定方法光 EF8~rKO3  
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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 S;I>W&U  
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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。 $2kZM4  
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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。 \]Nt-3|`0  
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    图5. 视网膜重点采样规格设定
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    脚本 U+4W9zhwo  
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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: _rN1(=J  
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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。 ]lgI Q;r  
    余下的脚本计算与屈光度有关的所有参数。 !vY5X2?tr,  
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    分析 |<aF)S4  
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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。 bC SgdK  
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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 Y+ Qm.  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. P.t0o~hoK;  
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    Dim entity As T_ENTITY k@Q>(`  
    Dim op As T_OPERATION QqdVN3# 1z  
    Dim mat As T_MODELMATERIAL I;5:jT`  
    Dim A As Double 9x]yu6  
    Dim pupilDiam As Double Ij_h #f   
    Dim eID As Long hLo>jE  
    Dim parID As Long v-MrurQ4  
    Dim count As Integer U 6`E\?d`  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double P-LdzVt(^  
    Dim tlens As Double, nlens As Double gwQk M4  
    Dim curv As Double, conic As Double p+y2w{{  
    Dim ok As Long h+ggrwg'  
    !C>'a:  
    Sub Main 8j^3_lD  
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        '用户输入对话框 lDf:~  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 -udKGrT+  
            TextBox 220,21,40,21,.TextBox1 'default: 0 ln&9WF\I  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 0XLoGQ=  
            OKButton 40,91,90,21 )2Dm{T  
            CancelButton 190,91,90,21 {{+woL'C  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 T/YvCbo  
            TextBox 220,49,40,21,.TextBox2 'default: 4 .8~zgpK  
        End Dialog G@+AB*Eu  
        Dim dlg As UserDialog k4!z;Yq  
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        ok = Dialog (dlg) c%O8h  
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        If ok=0 Then    'cancel button was pressed hL(zVkYI  
            Print "Execution cancelled."  1cvH  
            End Xt%>XP  
        End If slRD /  
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        'Assign accommodation and pupil diameter & use defaults if field left empty 8^U+P%  
        If dlg.TextBox1 = "" Then Ip&Q'"HYj  
            A = 0           'Default accommodation jC3)^E@:"  
        Else kM o7mkV  
            A = CDbl(dlg.TextBox1) r_EuLFMA  
        End If TQiDbgFo  
    |h{#r7H0  
        If dlg.TextBox2 = "" Then !3J YG  
            pupilDiam = 4   'Default pupil diameter TxDzGC  
        Else zZ})$Ny(  
            pupilDiam = CDbl(dlg.TextBox2) ^Ss4<  
        End If #->#mshd4  
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        Print " " E2xcd#ZD  
        Print "Accommodation = " & A & " Diopters" =0gfGwD{  
        Print "Pupil Diameter = " & pupilDiam & " mm"  `GQ'yv  
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        ' Calculate new parameters with accommodation Kulh:d:w  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness =j$!N# L  
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        Rant = 12.0 - 0.4*A                     'Radius of anterior lens Lr;PESV  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens t w?\bB  
    "<LVA2v;  
        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens e/nc[  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens VsTa!V^~  
    S-D=-{@  
        tlens = 3.767 + 0.04*A                  'Lens thickness w=K!U]  
    " +n\0j;  
        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction g#b uy  
    *]]C.t-cd  
        'Adjust parameters to account for accommodation /N?vVp  
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        '************************************************************************* @c{rqa v  
        'Aqueous thickness (Position of Lens) wNt-mgir-Q  
        '************************************************************************* yccF#zU  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) DTi\ 4&41  
        GetCustomElement eID, entity Dw-i!dq  
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        parID = FindFullName( "Geometry.Arizona Eye" ) ++ZtL\h{7  
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        ' Delete any shift(s) in z )VoQ/ch<  
        count = 0 Pcox~U/j  
        While GetOperationCount(eID)>count `kERM-@A  
            GetOperation eID, count, op bo%v(  
            If op.Type="ShiftZ" Then ( /):  
                DeleteOperation eID,count ~3F\7%Iqc  
                count=count-1 M(+;AS?;  
            End If IQ3]fLb  
            count=count+1 MG6y  
        Wend ))z1T8  
    hr)CxsPoRQ  
        'Set new shift in j^&{5s  
        op.Type = "ShiftZ" |Vq&IfP  
        op.val1 = taq h~zG*B5F  
        op.parent = parID |'bRVqJ  
        AddOperation eID, op f}_d`?K  
        Print "Set aqueous humor thickness = " & taq-0.55 ; D a[jFP  
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        '************************************************************************* i9FtS7  
        'Radius and conic constant of anterior lens b}OOG  
        '************************************************************************* C1 YG=!  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) Nr(3!-  
        GetConic eID, entity, curv, conic [q5N 4&q\  
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        SetConic eID, entity, 1/Rant, CCant 1G6MO  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant pPX~pPIj2  
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        '************************************************************************* ^twJNm{99  
        'Radius and conic constant of posterior lens z%pD3J?>  
        '************************************************************************* _=\=oC  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) `T \"B%  
        GetConic eID, entity, curv, conic G',*"mZQ[  
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        SetConic eID, entity, 1/Rpost, CCpost l*+5WrOS  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost *~0Ko{Avc  
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        '************************************************************************* %^C.e*  
        'Lens thickness (Position of posterior lens surface) .}V&*-ep  
        '************************************************************************* =:;KY uTr  
    8% ;K#,>  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) 5v uB87`  
    ~il{6Z+#n  
        ' Delete any z-shift(s) lv* fK  
        count = 0 3nJd0E  
        While GetOperationCount(eID)>count xa?#wY b  
            GetOperation eID, count, op   ps*dO  
            If op.Type="ShiftZ" Then s.)nS $  
                DeleteOperation eID,count [v!TQwMU  
                count=count-1 sMikTwR/^  
            End If >(t_  
            count=count+1 {MaFv  
        Wend ZPISclSA+  
    Q6|~ks+Y  
        'Set new z-shift |4F 3Gu  
        op.Type = "ShiftZ" >,JA=s  
        op.val1 = tlens ,VM)ZK=Tr  
        op.parent = parID Du3nK" -g  
        AddOperation eID, op :Gdfpz-{?  
        Print "Set lens thickness = " & tlens $YyN-C  
    2+Tu"oG;rB  
        '************************************************************************* nnZ|oEF  
        'Lens index of refraction DjX*2O  
        '************************************************************************* ^.d97rSm  
        eID = FindMaterial( "Lens" ) 7fOk]Yl[  
        GetModelMaterial eID, mat P K]$D[a0  
    x-e?94}^  
        mat.Nd = nlens < Y(lRM{  
        SetModelMaterial eID, mat G\?q{  
        Print "Set lens index of refraction = " & nlens bLfbzkNV\1  
    c QjzI#  
        '************************************************************************* KvM}g2"  
        'Pupil diameter $:YJ<HvG<  
        '************************************************************************* B`/c Kfg  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) +P&;cCV`S3  
    3xJ_%AD\'  
        'Adjust pupil diameter (trimming volume inner hole) j|u6TG  
    =DhzV D  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" gGiLw5o,  
    \y-Lt!}  
        ' Adjust pupil location to just in front of the lens 0wzq{~\{=_  
        parID = FindFullName( "Geometry.Arizona Eye" ) +;}XWV  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) QX*HvT  
        count = 0 8G>;X;W  
        While GetOperationCount(eID)>count % mhnd):  
            GetOperation eID, count, op ' Vp6=,P  
            If op.Type="ShiftZ" Then l"\W]'T:r  
                DeleteOperation eID,count ?5%|YsJP_  
                count=count-1 z k[%YG&  
            End If Daa2.*  
            count=count+1 .Jt&6N  
        Wend SOyE$GoOsx  
        op.Type = "ShiftZ" 3zO'=gwJ  
        op.val1 = taq-0.01 *CA7 {2CX  
        op.parent = parID );^] is~  
        AddOperation eID, op dnby&-+T  
    FuZ7xM,  
        Print "Set pupil diameter = " & pupilDiam M~/%V NX  
    y: 0j$%^  
        'Update AZ Eye subassembly Description {-sy,EYcw  
        eID = FindFullName( "Geometry.Arizona Eye" ) %}U-g"I  
        GetEntity eID, entity x+}6qfc$9k  
        entity.Description = "Accommodation = " & A & "D" n=vW oU9  
        SetEntity eID, entity yTDlDOmV!  
    `hD\u@5Tw  
        Update G_wzUk=L  
        Print "DONE!" C ^@~  
         o9!DK  
    End Sub x,\PV>   
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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[*Bw)F\N  
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    Accommodation = 4 Diopters %bnDxCj"  
    Pupil Diameter = 4 mm nj*B-M\p  
    Set aqueous humor thickness = 2.81 eCY gi7?  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 #'Q_eBX  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 +"!,rZ7,A  
    Set lens thickness = 3.927 t@Qs&DZ7k  
    Set lens index of refraction = 1.42672 _MZqH8  
    Set pupil diameter = 4 PrIS L[@  
    DONE! N#')Qz:P  
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    ;r[@;2p*(  
    QQ:2987619807 */Oq$3QGsV  
     
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