切换到宽版
  • 广告投放
  • 稿件投递
  • 繁體中文
    • 2208阅读
    • 0回复

    [技术]Arizona眼睛模型 [复制链接]

    上一主题 下一主题
    离线infotek
     
    发帖
    6613
    光币
    27214
    光券
    0
    只看楼主 倒序阅读 楼主  发表于: 2021-10-22
    简介 +a$|Sc  
    8Xn!Kpa  
    人眼光学模型可用来设计眼科用设备,光学系统注定了要与人眼一起使用。本文演示了这样一个模型:Arizona眼睛模型,在Jim Schwiegerling教授的书中有详细描述:《Field Guide to Visual and Ophthalmic Optics》。AZ眼睛模型达到了基于平均临床数据所决定的轴上和轴外像差等级。FRED文件包含了此眼睛模型及几个用来分析它的光源,并包括一个基于想要的屈光度来调整模型的内嵌脚本。 Fr5 Xp  
    o\6iq  
    模型 ^8K/xo-  
    c tI{^f:  
    模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 GGnp Pp  
    `.^ |]|u  
    Table 1. AZ眼睛模型的定义
    m 22wF>9  
    在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. Acu@[ I^  
    K)[8 H~Lm  
    光源 JNo8>aFOb  
    lTz6"/  
    多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 S_Z`so}  
    <DZcra  
    &erm`Ho  
    图1. 光源和提示信息使用
    9DE)S)e8  
    除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 R^8{bP  
    *H2]H @QHN  
    在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 Q"VMNvKYB  
    _H\<[-l  
    图2. 字母F光源的设定方法光 Cs1>bpY*R6  
    kso*}uh0  
    图3. 字母F在视网膜上位置点列图
    3&*'6D Tg  
    视网膜的散射 ^oeJKjJ  
    `\b+[Nes  
    在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 3f&|h^\nD  
    44-r\>  
    |4C^$  
    图4. 视网膜朗伯散射设定
    va,~w(G  
    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。 "s_Z&  
    u%2KwRQ  
    $f-hUOuyo  
    图5. 视网膜重点采样规格设定
    MR;X&Up6!  
    脚本 NQLiWz-q  
    -[]';f4]M  
    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: Jqfm@Y  
    4/*q0M{}B  
    图6. 用户对话框的创建与编辑
    ` }8&E(<  
    图7. 用户对话框编辑器
    h?j_Ry  
    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。 >i~^TY-&  
    余下的脚本计算与屈光度有关的所有参数。 fL6e?\Pw  
    L *Y|ey  
    分析 0I%: BT  
    n1J]p#nCa.  
    屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 2`Gv5}LfyR  
    NFyMY#\]  
    图7. 字母F在视网膜上颜色分析
    qrBZvJU  
    脚本代码 fx?$9(r,  
    =`t^~.5  
    Option Explicit     'Remove this to enable non-dimensioned variables to be used. LmL Gki$w  
    {o|k.zy  
    Dim entity As T_ENTITY "H+,E_&(  
    Dim op As T_OPERATION e7k%6'@  
    Dim mat As T_MODELMATERIAL g9>~HF$U  
    Dim A As Double ZGz|m0b (  
    Dim pupilDiam As Double :.nRN`e  
    Dim eID As Long W{Z^n(f4  
    Dim parID As Long EHI'xt  
    Dim count As Integer nk@atK,38^  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double JYmAn?o-  
    Dim tlens As Double, nlens As Double o"q+,"QL  
    Dim curv As Double, conic As Double K&_Uk548  
    Dim ok As Long Q5n`F5   
    p/olCmHD)  
    Sub Main 8<dOMp;}r  
    658^"]Rk'/  
        '用户输入对话框 };katqzEg  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 ;=~Xr"(/z  
            TextBox 220,21,40,21,.TextBox1 'default: 0 A lwtmDa  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 ~]fJlfR*  
            OKButton 40,91,90,21 @*O?6>  
            CancelButton 190,91,90,21 pn%#w*'  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 r>n" 51*  
            TextBox 220,49,40,21,.TextBox2 'default: 4 wk $,k  
        End Dialog Q{y{rC2P  
        Dim dlg As UserDialog X6@wkrf-  
    iHBB,x  
        ok = Dialog (dlg) PHr a+NY#A  
    gv.6h{Ut  
        If ok=0 Then    'cancel button was pressed b2) \ MNH  
            Print "Execution cancelled." HlB]38  
            End :qj<p3w~}  
        End If 4s.]M>Yb  
    RFfIF]~3  
        'Assign accommodation and pupil diameter & use defaults if field left empty 7"2b H  
        If dlg.TextBox1 = "" Then Zi ESlf$  
            A = 0           'Default accommodation =/9^, 6Q(  
        Else _8fA?q=  
            A = CDbl(dlg.TextBox1) N4{nG,Mo]  
        End If )D@~|j:  
    WeJ@x L  
        If dlg.TextBox2 = "" Then ^k/i-%k0  
            pupilDiam = 4   'Default pupil diameter {aOkV::  
        Else d8x%SQ!V  
            pupilDiam = CDbl(dlg.TextBox2) M\2"gT-LV  
        End If 5ukp^OxE  
    p2O~>97t1  
        Print " " FxW&8 9G  
        Print "Accommodation = " & A & " Diopters" *3+-W  
        Print "Pupil Diameter = " & pupilDiam & " mm" ZxHJ<2oD  
    oy\B;aAK  
        ' Calculate new parameters with accommodation H[WQ=){  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness -n))*.V  
    h5~n 1qX  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens ?=On%bh  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens a)s;dp}T%  
    :#{Xuy:  
        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens >lzA]aM$c  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens EU+cca|qS9  
    93Yn`Av;  
        tlens = 3.767 + 0.04*A                  'Lens thickness u=NG6 G  
    = !2NU  
        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction 1y5Ex:JVZT  
    AHbZQulC  
        'Adjust parameters to account for accommodation %w}gzxN^  
    uh3) 0.nR  
        '************************************************************************* )N !>=  
        'Aqueous thickness (Position of Lens) [c&B|h=>  
        '************************************************************************* %JL]; 4'  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) `: |@Zln  
        GetCustomElement eID, entity jgu*Y{ocm  
    i!H!;z#  
        parID = FindFullName( "Geometry.Arizona Eye" ) w4};q%OBj  
    W6/ @W  
        ' Delete any shift(s) in z 5>_5]t {  
        count = 0 x4kWLy7Sz  
        While GetOperationCount(eID)>count 4[2_,9}  
            GetOperation eID, count, op X@wm1{!  
            If op.Type="ShiftZ" Then ?UZ?NY  
                DeleteOperation eID,count 3=.Y,ENM;  
                count=count-1 }SfbCa)UO  
            End If bud&R4+  
            count=count+1 ERMa# L  
        Wend l]Lx L  
    P,xwSvO#M  
        'Set new shift in 0D&>Gyc*0  
        op.Type = "ShiftZ" X` r* ob  
        op.val1 = taq E1V^}dn  
        op.parent = parID Mt>oI SN&d  
        AddOperation eID, op UE0$ o?  
        Print "Set aqueous humor thickness = " & taq-0.55 uGH?N  
    QfpuZEUK  
        '************************************************************************* @cvP0A  
        'Radius and conic constant of anterior lens RYR-K^;R  
        '************************************************************************* a:rX9-**  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) m@G i6   
        GetConic eID, entity, curv, conic RrV>r<Z"Q  
    3{7T4p.G  
        SetConic eID, entity, 1/Rant, CCant oF:v JDSS  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant K?.e|  
    b~Y%gC)FR  
        '************************************************************************* $W8Cf[a  
        'Radius and conic constant of posterior lens |L3X_Me  
        '************************************************************************* 3z =^(Y  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) F iAY\4  
        GetConic eID, entity, curv, conic Ve 3 ;  
    udk.zk  
        SetConic eID, entity, 1/Rpost, CCpost 9.OA, 6  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost HTjkR*E  
    v syWm.E  
        '************************************************************************* c/3$AUsuO  
        'Lens thickness (Position of posterior lens surface) "jg@w%~  
        '************************************************************************* `FF8ie8L  
    Q(7ob}+jQ  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) 1+kE!2b;b  
    a$11PBi[9  
        ' Delete any z-shift(s) B|=|.qp$)  
        count = 0 [3/VCYje  
        While GetOperationCount(eID)>count },-*  
            GetOperation eID, count, op v1G"3fy9  
            If op.Type="ShiftZ" Then W#F Q,+0)  
                DeleteOperation eID,count r`'y?Bra;  
                count=count-1 "9y( }  
            End If C}}/)BYi  
            count=count+1 ?? qq:`s  
        Wend jQs>`P-CM  
    yJx?M  
        'Set new z-shift @\P4/+"9  
        op.Type = "ShiftZ" F3U`ueP  
        op.val1 = tlens Fzq41jiS  
        op.parent = parID T/r#H__`  
        AddOperation eID, op ^-)txC5{T  
        Print "Set lens thickness = " & tlens %8.J=B  
    Q\Kx"Y3i  
        '************************************************************************* T3%C%BcX  
        'Lens index of refraction ;^){|9@  
        '************************************************************************* 0$.m_0H  
        eID = FindMaterial( "Lens" ) <X7\z  
        GetModelMaterial eID, mat Of}|ib^t  
    m}j:nk  
        mat.Nd = nlens _Q(g(p&  
        SetModelMaterial eID, mat %D}H|*IPu  
        Print "Set lens index of refraction = " & nlens = duks\)O  
    T? ,P*l  
        '************************************************************************* {r85l\u)Q\  
        'Pupil diameter xG2+(f#C1  
        '************************************************************************* m#e3%150{  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) X"MU3]  
    Vy<HA*  
        'Adjust pupil diameter (trimming volume inner hole) v;1F[?@3Y  
    q%YV$$c   
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" XL}"1lE  
    C(T;>if0NH  
        ' Adjust pupil location to just in front of the lens dP2irC%f8  
        parID = FindFullName( "Geometry.Arizona Eye" ) e 8\;t"D  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) 2;3f=$3  
        count = 0 G bP!9I  
        While GetOperationCount(eID)>count bru/AZ#de  
            GetOperation eID, count, op arK_oh0B  
            If op.Type="ShiftZ" Then $(pF;_W  
                DeleteOperation eID,count m} ?rJ  
                count=count-1 Ey[On^$  
            End If eJCjJ)  
            count=count+1 ~X(UcZ2  
        Wend B@YyQ'  
        op.Type = "ShiftZ" YGvUwj'2a  
        op.val1 = taq-0.01 13'vH]S$M  
        op.parent = parID ^eYqll/U  
        AddOperation eID, op 5~sx:0;  
    -Y 9SngxM  
        Print "Set pupil diameter = " & pupilDiam I`(l*U  
    ykg#{9+  
        'Update AZ Eye subassembly Description '\#EIG  
        eID = FindFullName( "Geometry.Arizona Eye" ) m#/_x  
        GetEntity eID, entity +k<w!B*  
        entity.Description = "Accommodation = " & A & "D" ~ (On|h  
        SetEntity eID, entity ?(6mVyIe  
    3uu~p!2  
        Update q"qo.TPh|$  
        Print "DONE!" Ty(@+M~-  
         D#A~Nbc  
    End Sub r,P1^uHx  
    V D?*h  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: ?|{XZQ~  
    <|Yj%f  
    Accommodation = 4 Diopters P>Euq'ajX  
    Pupil Diameter = 4 mm tirIgZ  
    Set aqueous humor thickness = 2.81 kUx&pYv  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 3Ug  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 r`S< A;  
    Set lens thickness = 3.927 xda; K~w  
    Set lens index of refraction = 1.42672 i`(^[h ?;  
    Set pupil diameter = 4 ^E`(*J/o  
    DONE! ?YM4b5!3T  
     
    分享到