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    [分享]Arizona眼睛模型 [复制链接]

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    只看楼主 正序阅读 楼主  发表于: 2020-12-09
    简介 ?ft_  
    <rC#1wR4  
    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。 i;xg[e8.  
    KPR{5  
    模型 dt \O7Rjw8  
    vlPE8U=  
    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。 }oN(nPxv9  
    q~w;C([k_  
    Table 1. AZ眼睛模型的定义
    gMGg9U$@  
    在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. N Dg]s2T  
    (C3d<a\:  
    光源 )I>rC%2P  
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    多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 UpIf t=@P  
    WuNu}Ibl}m  
    ^=W&p%Y(!  
    图1. 光源和提示信息使用
    YSwD#jO0  
    除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 DA wzXsx  
    L|Ydd!m  
    在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 rL s6MY  
    vJCL m/}*  
    图2. 字母F光源的设定方法光 -of= Lp  
    j |i6/Pk9J  
    图3. 字母F在视网膜上位置点列图
    P\AH9#XL  
    视网膜的散射 # _7c>gn  
     ~Afs  
    在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 ;VuB8cnL`  
    i4pJIb  
    *Qf }4a0  
    图4. 视网膜朗伯散射设定
    BE+Y qT  
    注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 t<k8.9 M$  
    Kje+Niz7  
    ~ZNhU;%YW  
    图5. 视网膜重点采样规格设定
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    脚本 6~8 RFf"  
    AFFLnLA<L  
    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: E+)Go-rS(  
    y2U:( H:l!  
    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
    L)+ eM&W  
    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。 :L[6a>"neE  
    余下的脚本计算与屈光度有关的所有参数。 =z/F=1^<  
    @j (jOe  
    分析 /trc&V  
    :acQK=fe  
    屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 !kcg#+s91  
    5oKc=iX_3  
    图7. 字母F在视网膜上颜色分析
    0/6&2  
    脚本代码 mqHt%RX  
    !LJ.L?9qw  
    Option Explicit     'Remove this to enable non-dimensioned variables to be used. AWDjj\Q4  
    _tk5?9Ykn  
    Dim entity As T_ENTITY ]x G8vy  
    Dim op As T_OPERATION m?j!0>  
    Dim mat As T_MODELMATERIAL &rl>{Uvq  
    Dim A As Double 9CNHjs+-}s  
    Dim pupilDiam As Double *o[%?$8T  
    Dim eID As Long t0>{0 5  
    Dim parID As Long 8joQPHkI\  
    Dim count As Integer gJ&!w8v.  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double (<l2 ^H  
    Dim tlens As Double, nlens As Double 4BT`|(7  
    Dim curv As Double, conic As Double LU{Z  
    Dim ok As Long is(!_Iv  
    RFJ;hh  
    Sub Main Tv$7aVi!  
    Fsf22  
        '用户输入对话框 j;v%4G  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 cDiz!n*.q  
            TextBox 220,21,40,21,.TextBox1 'default: 0 NXBOo  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 32iI :u  
            OKButton 40,91,90,21 Nd_@J&  
            CancelButton 190,91,90,21 BFO Fes`>~  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 6p " c ^  
            TextBox 220,49,40,21,.TextBox2 'default: 4 tTGK25&  
        End Dialog #Qr4Ke$g[l  
        Dim dlg As UserDialog [kOA+\v  
    DANSexW  
        ok = Dialog (dlg) U!/nD~A  
    EKPTDKut  
        If ok=0 Then    'cancel button was pressed ~TH5>``;gF  
            Print "Execution cancelled." Qs9U&*L  
            End jw[BtRW  
        End If 4w( vRe  
    pq3  A%|  
        'Assign accommodation and pupil diameter & use defaults if field left empty &=Zg0Q  
        If dlg.TextBox1 = "" Then DOVX$N$3  
            A = 0           'Default accommodation ~ n^G<iXLp  
        Else #( sNk,^Ax  
            A = CDbl(dlg.TextBox1) 1N!g`=}  
        End If o0G`Xn  
    <j\;>3Q  
        If dlg.TextBox2 = "" Then uX +<`3O  
            pupilDiam = 4   'Default pupil diameter 9S%gVNxn  
        Else 1=Zw=ufqV  
            pupilDiam = CDbl(dlg.TextBox2) \( <{)GpBi  
        End If WKl'  
    RQCQGa^cP  
        Print " " +n[wkgFd  
        Print "Accommodation = " & A & " Diopters" Sz|CreFK16  
        Print "Pupil Diameter = " & pupilDiam & " mm" J,G9m4Z7  
    IZ0$=aB7  
        ' Calculate new parameters with accommodation qW~ R-g]  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness h+3Z.WKhwP  
    2 dD<]  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens RLz`aBT  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens ` G=L07  
    'ZH<g8:=@  
        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens Tn0l|GRuZA  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens W)!{U(X  
    %s2"W~  
        tlens = 3.767 + 0.04*A                  'Lens thickness r!$NZ2I  
    tOg 8L2  
        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction P%`R7yk  
    oPu|Q^I=  
        'Adjust parameters to account for accommodation 9G&l qfX:  
    S"^KJUUc  
        '************************************************************************* ]KK ZbEO  
        'Aqueous thickness (Position of Lens) |SP.S 0.y  
        '************************************************************************* GoSWH2N  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) zrU$SWU  
        GetCustomElement eID, entity Q^Z<RA(C  
    [du>ff  
        parID = FindFullName( "Geometry.Arizona Eye" ) >3`ctbe  
    te*Y]-&I|/  
        ' Delete any shift(s) in z [Ht."VxR  
        count = 0 sIRrEea  
        While GetOperationCount(eID)>count 6eUiI@J  
            GetOperation eID, count, op Ac!&j=ZE  
            If op.Type="ShiftZ" Then RpXs3=9  
                DeleteOperation eID,count ZC5Yve8  
                count=count-1 5d?!<(e6  
            End If SZ2q}[o`R  
            count=count+1 380->  
        Wend dI0bTw|s/  
    \ ~LU 'j  
        'Set new shift in 5'kTe=  
        op.Type = "ShiftZ" @b!R2Yq  
        op.val1 = taq :Q r7:$S^  
        op.parent = parID o;VkoYV  
        AddOperation eID, op L_gsG|xX  
        Print "Set aqueous humor thickness = " & taq-0.55 Wt+y-ES  
    ;V"yMWjc  
        '************************************************************************* LD~Jbq  
        'Radius and conic constant of anterior lens _.OMjUBZT  
        '************************************************************************* A:.IBctsd  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) B)DC,+@$  
        GetConic eID, entity, curv, conic EK8E  
    2u~c/JryN  
        SetConic eID, entity, 1/Rant, CCant V^ fGRA  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant I^M#[xA  
    11B{gUv.]  
        '************************************************************************* u_4:#~b  
        'Radius and conic constant of posterior lens 5S\][;u  
        '************************************************************************* Y*kh$E%<#  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) %%as>}.  
        GetConic eID, entity, curv, conic 2%5^Fi  
    4h;f>BG  
        SetConic eID, entity, 1/Rpost, CCpost Zc4(tf9  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost 8sR  
    Pu$kj"|q*[  
        '************************************************************************* co<2e#p;  
        'Lens thickness (Position of posterior lens surface) 8g[ (nxI~  
        '************************************************************************* F8uRT&m B0  
    !Bk[p/\  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) dThn?  
    -t%{"y  
        ' Delete any z-shift(s) I3G*+6V  
        count = 0 7cUR.PI#Q  
        While GetOperationCount(eID)>count ^ J#?hHz  
            GetOperation eID, count, op 0+K`pS'  
            If op.Type="ShiftZ" Then agU%z:M{  
                DeleteOperation eID,count b:FEp'ZS  
                count=count-1 ;!l*7}5X=  
            End If {WYu 0J@  
            count=count+1 yD3bl%uZ  
        Wend tA! M  
    &547`*  
        'Set new z-shift B_SZ?o  
        op.Type = "ShiftZ" XlPK3^'N)h  
        op.val1 = tlens ?qf:_G  
        op.parent = parID $PatHY@h  
        AddOperation eID, op 4i_spF-3  
        Print "Set lens thickness = " & tlens DA+A >5/  
    l~]hGLviJE  
        '************************************************************************* %uGleY]~  
        'Lens index of refraction HF &h  
        '************************************************************************* U{T[*s  
        eID = FindMaterial( "Lens" ) f$1Gu  
        GetModelMaterial eID, mat K/f>f;c  
    MB ]#%g&  
        mat.Nd = nlens !dfS|BA]  
        SetModelMaterial eID, mat *F\T}k7  
        Print "Set lens index of refraction = " & nlens xb4Pt`x)rS  
    b4Ricm  
        '************************************************************************* Ci]'G>F@"  
        'Pupil diameter =7 Jy  
        '************************************************************************* B;xZ% M]  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) 0V<Aub[${  
    gHQPhe#n  
        'Adjust pupil diameter (trimming volume inner hole) cr76cYq"Q  
    rQ`\JE&`  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" ~A8qeaP  
    d{QMST2&  
        ' Adjust pupil location to just in front of the lens vC{ h2A  
        parID = FindFullName( "Geometry.Arizona Eye" ) WW//heJe-  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) \p5|}<Sr)  
        count = 0 J"%8:pL  
        While GetOperationCount(eID)>count 0zg2g!lh  
            GetOperation eID, count, op #d7N| 9_  
            If op.Type="ShiftZ" Then I*^5'N'  
                DeleteOperation eID,count 4^0d)+Ff  
                count=count-1 8K|J:[7  
            End If W*YxBn4  
            count=count+1 _R EqT  
        Wend yJDeX1+,  
        op.Type = "ShiftZ" EfFz7j&X  
        op.val1 = taq-0.01 8<YX7e  
        op.parent = parID Iq)(UfaSve  
        AddOperation eID, op cwk+#ur  
    9.xvV|Sp  
        Print "Set pupil diameter = " & pupilDiam rei 8LW  
    By2s']bw  
        'Update AZ Eye subassembly Description IZO@V1-m  
        eID = FindFullName( "Geometry.Arizona Eye" ) fx<FIj7  
        GetEntity eID, entity J4YT)-  
        entity.Description = "Accommodation = " & A & "D" :~vxZ*a  
        SetEntity eID, entity Dq?E\  
    GHv{   
        Update n%F-cw  
        Print "DONE!" ID)^vwn  
         'z)hG#{I  
    End Sub Y^ QKp"  
    -7k[Vg?  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: z(+&wa  
    N5m'To]  
    Accommodation = 4 Diopters v9u<F6  
    Pupil Diameter = 4 mm {1jpLdCbV^  
    Set aqueous humor thickness = 2.81 CK2B  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 %Nj #0YF]  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 doBNghS  
    Set lens thickness = 3.927 nt=x]wEC  
    Set lens index of refraction = 1.42672 ndr)3tuYu  
    Set pupil diameter = 4 `3J' :Vh  
    DONE! RL6Vkd?  
    xPt*CB  
    }7.#Dj/r6  
    QQ:2987619807 ;>DHD*3X  
     
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