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    [技术]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: 2021-10-22
    简介 j`D%Wx_  
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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。 f}!Eu  
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    模型 {^T_m)|n  
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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。 u_Wftb?9  
    % tE#%;Z  
    Table 1. AZ眼睛模型的定义
    *QGyF`Go{  
    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. NT0im%  
    R1/h<I:  
    光源 W"v"mjYud  
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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。 QVR8b3T@  
    @2`$ XWD  
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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。 [0?W>A*h  
    s=H| ^v  
    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。 W^k|*Y|  
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    图2. 字母F光源的设定方法光 )ppIO"\  
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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 fZtuP1- 4  
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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。 $`&zIz  
    ;{Nc9d  
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    图4. 视网膜朗伯散射设定
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    注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 :pCv!g2  
    .Cz9?]jyI  
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    图5. 视网膜重点采样规格设定
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    脚本 <}Hs@`jS  
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    内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: 0a}a  
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    图6. 用户对话框的创建与编辑
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    图7. 用户对话框编辑器
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    如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 V%Ww;Ca]I  
    余下的脚本计算与屈光度有关的所有参数。 tyU'[LF?  
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    分析  va [r~  
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    屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 {fI"p;|  
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    图7. 字母F在视网膜上颜色分析
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    脚本代码 sXwa`_{  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. =$-+~  
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    Dim entity As T_ENTITY >/+R~ n  
    Dim op As T_OPERATION isU4D  
    Dim mat As T_MODELMATERIAL NHQi_U  
    Dim A As Double (H6Mi.uZ  
    Dim pupilDiam As Double )wNcz~ Y  
    Dim eID As Long 'Bwv-J  
    Dim parID As Long K"jS,a?s 6  
    Dim count As Integer dCA! R"HD  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double M.9w_bW]#D  
    Dim tlens As Double, nlens As Double tF:AqR: (~  
    Dim curv As Double, conic As Double FWW*f _L  
    Dim ok As Long l.xKv$uOGR  
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    Sub Main %W^Zob  
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        '用户输入对话框 C@3UsD\s(  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 yVe<+Z\7  
            TextBox 220,21,40,21,.TextBox1 'default: 0 \DcO .`L  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 qH(HcsgD  
            OKButton 40,91,90,21 ZkryoIQ%=  
            CancelButton 190,91,90,21 $kBcnk  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 tu's]3RE  
            TextBox 220,49,40,21,.TextBox2 'default: 4 8osP$"/o  
        End Dialog v Q51-.g  
        Dim dlg As UserDialog o]DYS,v  
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        ok = Dialog (dlg)  }=d}q *  
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        If ok=0 Then    'cancel button was pressed yRR[M@Y  
            Print "Execution cancelled." bT^(D^  
            End Xc$Zkfmms  
        End If ^/I.? :+  
    9t!Agxm  
        'Assign accommodation and pupil diameter & use defaults if field left empty .=zBUvy  
        If dlg.TextBox1 = "" Then >P ~j@Lv  
            A = 0           'Default accommodation tYp 185  
        Else On0,#i=  
            A = CDbl(dlg.TextBox1) +DaKP)H\:  
        End If +~"(Wooi  
    Q<Qd*v&-  
        If dlg.TextBox2 = "" Then +ryB*nT  
            pupilDiam = 4   'Default pupil diameter FXul u6"SX  
        Else *i {e$Zv'  
            pupilDiam = CDbl(dlg.TextBox2) Xp9] 9H.  
        End If C]&/k_k  
    t +|t/1s2  
        Print " " &g~NkJc0c  
        Print "Accommodation = " & A & " Diopters" KQ^|prN?y  
        Print "Pupil Diameter = " & pupilDiam & " mm" ECk3Da  
    \U<d)j/  
        ' Calculate new parameters with accommodation bg5i+a,?  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness tn;{r  
    &Im-@rV!  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens }tL]EW^  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens c-"vQ>ux+  
    Dutc#?bT  
        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens R'pfA B|!  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens BIEq(/-  
    Vjd(Z  
        tlens = 3.767 + 0.04*A                  'Lens thickness sR^b_/ElxT  
    KquuM ]5S  
        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction =@c;%x  
    4dy!2KZN  
        'Adjust parameters to account for accommodation Wt.['`c<  
    bB)$=7\  
        '************************************************************************* p W@Yr  
        'Aqueous thickness (Position of Lens) L)qUBp@MW  
        '************************************************************************* ,w f6gmh8  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) cG&@PO]+.  
        GetCustomElement eID, entity z<%dWz  
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        parID = FindFullName( "Geometry.Arizona Eye" ) !ST7@D  
    (*kKfg4Wj  
        ' Delete any shift(s) in z G'`^U}9V\  
        count = 0 jrpki<D  
        While GetOperationCount(eID)>count 4C )sjk?m  
            GetOperation eID, count, op 8@b`a]lgrd  
            If op.Type="ShiftZ" Then hiv {A9a?  
                DeleteOperation eID,count iRx`Nx<@  
                count=count-1 ttls.~DG  
            End If -3 Sb%V\  
            count=count+1 &DjA?0`J  
        Wend U2LD_-HZ  
    t|s(V-Wq  
        'Set new shift in V5p^]To!  
        op.Type = "ShiftZ" j7$xHnV4  
        op.val1 = taq XMz*}B6GQ  
        op.parent = parID s>W :vV@  
        AddOperation eID, op  f^KN8N  
        Print "Set aqueous humor thickness = " & taq-0.55 &3J^z7kU  
    7rYBFSp  
        '************************************************************************* 5$Kd<ky  
        'Radius and conic constant of anterior lens ox_DEg7l  
        '************************************************************************* Kz z/]  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) UFLx'VX d  
        GetConic eID, entity, curv, conic p]<)6sZ  
    6=qC/1,l  
        SetConic eID, entity, 1/Rant, CCant fP6\Ur  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant  U ^nv)  
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        '************************************************************************* e"*1l>g  
        'Radius and conic constant of posterior lens ]')y(_{  
        '************************************************************************* r)Vpt fg;  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) A@Lr(L  
        GetConic eID, entity, curv, conic A6J:!sY4A  
    ^vTx%F  
        SetConic eID, entity, 1/Rpost, CCpost 5;G0$M0  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost C#8A|  
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        '************************************************************************* j9yOkaVEg  
        'Lens thickness (Position of posterior lens surface)  NEPK   
        '************************************************************************* m`):= ^nC  
    8TG|frS  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) s5 {B1e  
    zbr^ulr  
        ' Delete any z-shift(s) 2(x| %  
        count = 0 w^=(:`  
        While GetOperationCount(eID)>count f$9|qfW'$  
            GetOperation eID, count, op *B \ @L  
            If op.Type="ShiftZ" Then 3,`M\#z%K  
                DeleteOperation eID,count TvS<;0~K  
                count=count-1 +'+ Nr<  
            End If "5z@A/Z/  
            count=count+1 Q2)(tB= )  
        Wend )q.ZzijG/  
    D?8(n=#[  
        'Set new z-shift )Vrp<"v  
        op.Type = "ShiftZ" /I1n${{5  
        op.val1 = tlens :WsHP\r  
        op.parent = parID jKo9y  
        AddOperation eID, op R'6(eA[K  
        Print "Set lens thickness = " & tlens )_n(u3'  
    b|@zjh;]A7  
        '************************************************************************* J7C?Z  
        'Lens index of refraction x!vyjp  
        '************************************************************************* <L11s%5-  
        eID = FindMaterial( "Lens" ) >,tJq %  
        GetModelMaterial eID, mat <}h <By)  
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        mat.Nd = nlens c~ vql4  
        SetModelMaterial eID, mat $Ff6nc=  
        Print "Set lens index of refraction = " & nlens y\(xYB>T  
    AWPgrv/  
        '************************************************************************* 3 {hUp81>  
        'Pupil diameter Z!Z{Gm3  
        '************************************************************************* aMxj{*v7  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) m/jyc# L:u  
    m #G,m  
        'Adjust pupil diameter (trimming volume inner hole) G<k.d"<  
    Mk=*2=d  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" [s\8@5?E  
    C[hNngb7R  
        ' Adjust pupil location to just in front of the lens 8a]g>g  
        parID = FindFullName( "Geometry.Arizona Eye" ) MK@rx6<9  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) wq,&0P-v  
        count = 0 Y<kz+d,C  
        While GetOperationCount(eID)>count !Q<3TfC  
            GetOperation eID, count, op Vgkj4EE  
            If op.Type="ShiftZ" Then l:bbc!3  
                DeleteOperation eID,count .Y^3G7On  
                count=count-1 6d6Dk>(V  
            End If mF!4*k  
            count=count+1 =R 4]Kf  
        Wend DfU= i'R  
        op.Type = "ShiftZ" iOCs% J  
        op.val1 = taq-0.01 +-SO}P  
        op.parent = parID ;($xAAR  
        AddOperation eID, op PhV/WjCZ  
    $)c[FR~a  
        Print "Set pupil diameter = " & pupilDiam /ueOc<[8"  
    %X^qWKix}m  
        'Update AZ Eye subassembly Description ]dl.~;3~~  
        eID = FindFullName( "Geometry.Arizona Eye" ) O"kb*//  
        GetEntity eID, entity 1zG6^U  
        entity.Description = "Accommodation = " & A & "D" k%\y,b*  
        SetEntity eID, entity J%B/(v`  
    JUj.:n2e  
        Update ^!i4d))  
        Print "DONE!" i `p1e5$  
         BB9eQ: xO  
    End Sub   )*6  
    \CE+P5  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: {Y=k`t,  
    d0|{/4IWw;  
    Accommodation = 4 Diopters !FyO5`v  
    Pupil Diameter = 4 mm {06ClI  
    Set aqueous humor thickness = 2.81 JY"J}  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 py':36'  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 ) ?B-en\  
    Set lens thickness = 3.927 $bF+J8%D  
    Set lens index of refraction = 1.42672 jk_yrbLc  
    Set pupil diameter = 4 -|s% 5p|  
    DONE! iRcac[uV  
     
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