切换到宽版
  • 广告投放
  • 稿件投递
  • 繁體中文
    • 1200阅读
    • 0回复

    [分享]Arizona眼睛模型 [复制链接]

    上一主题 下一主题
    离线infotek
     
    发帖
    5754
    光币
    22922
    光券
    0
    只看楼主 倒序阅读 楼主  发表于: 2020-12-09
    简介 ;t@ 3Go  
    5f^`4 pT  
    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。 \.{pZMM  
    YRM6\S)py  
    模型 )8N)Z~h  
    w4< u@L  
    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。 7PQj7&m  
    )l!&i?h%  
    Table 1. AZ眼睛模型的定义
    ^) b7m  
    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. Jk6/i;4|  
    >`,#%MH#  
    光源 HNHhMi`w  
    I;":O"ij\  
    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。 Q&U= jX  
    zk^7gx3x  
    ][$$  =  
    图1. 光源和提示信息使用
    `v/tf|v 6  
    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。 EBn:[2  
    .n|3A3:  
    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。 3 z/O`z  
    C7*Yg$`{  
    图2. 字母F光源的设定方法光 hwol7B>   
    0\ytBxL  
    图3. 字母F在视网膜上位置点列图
    t"74HZO >  
    视网膜的散射 ?k7/`g U  
    a~N)qYL:  
    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%/veD k  
    T?}=k{C]  
    },QFyT  
    图4. 视网膜朗伯散射设定
    DkMC!Q\  
    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。 o'}Z!@h  
    UNH}*]u4`  
    $;`2^L  
    图5. 视网膜重点采样规格设定
    <wGT s6  
    脚本 m5Laq'~0_  
    fO}1(%}d  
    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:  D]>86&  
    ?Kz` O>"6  
    图6. 用户对话框的创建与编辑
    `9"jHw`D  
    图7. 用户对话框编辑器
    ~(doy@0M  
    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。 bA9dbe  
    余下的脚本计算与屈光度有关的所有参数。 Ei(`gp  
    Fb4S /_ V  
    分析 V@s/]|rf,  
    HvfTC<+H  
    屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 ?B31 t9  
    _@ 3O`  
    图7. 字母F在视网膜上颜色分析
    E6IL,Iq9  
    脚本代码 ewlc ^`  
    BO cEL%+  
    Option Explicit     'Remove this to enable non-dimensioned variables to be used. 2!& ;ZcT,  
    `fE:5y  
    Dim entity As T_ENTITY HQ#L |LN  
    Dim op As T_OPERATION JU`'?b  
    Dim mat As T_MODELMATERIAL .;sPG  
    Dim A As Double Tf]VcEF  
    Dim pupilDiam As Double -8J@r2\  
    Dim eID As Long gG z_t,=  
    Dim parID As Long #[ rFep  
    Dim count As Integer t $ ~:C  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double +( 7vmC.  
    Dim tlens As Double, nlens As Double 4'eVFu+62  
    Dim curv As Double, conic As Double '`VO@a  
    Dim ok As Long ^Q+5M"/8  
    B'~i Z65  
    Sub Main L7'X7WYf&  
    ,UJPLj^  
        '用户输入对话框 CZno2$8@e  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 hzVr3;3Zn  
            TextBox 220,21,40,21,.TextBox1 'default: 0 8pKPbi;(2  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 IaqN@IlWb  
            OKButton 40,91,90,21 y,eoTmaI  
            CancelButton 190,91,90,21 e/~<\  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 r,@|Snv)  
            TextBox 220,49,40,21,.TextBox2 'default: 4 -P uVI5L<  
        End Dialog [9Hm][|Ph  
        Dim dlg As UserDialog Zl/+HU~  
    ?O]gFn  
        ok = Dialog (dlg) *VAi!3Rx;  
    C 5!6k1TcE  
        If ok=0 Then    'cancel button was pressed % ieAY-<"  
            Print "Execution cancelled." ( I~XwP&  
            End "[Lp-4A\  
        End If fA,!d J  
    4SO{cs t  
        'Assign accommodation and pupil diameter & use defaults if field left empty lw lW.C  
        If dlg.TextBox1 = "" Then BU .G~0  
            A = 0           'Default accommodation U}5KAi 9Z  
        Else n m$G4Q  
            A = CDbl(dlg.TextBox1) V#FLxITk  
        End If #rC+13  
    N^>g= Ub  
        If dlg.TextBox2 = "" Then N1+]3kt ~  
            pupilDiam = 4   'Default pupil diameter )7TTRL  
        Else gC:E38u  
            pupilDiam = CDbl(dlg.TextBox2) Q 7?4GxMj  
        End If O~1p]j  
    LD"}$vfs  
        Print " " $ :P~21,  
        Print "Accommodation = " & A & " Diopters" U;Wmx  
        Print "Pupil Diameter = " & pupilDiam & " mm" z#!Cg*K(  
    ?Io2lFvI@Y  
        ' Calculate new parameters with accommodation 3@A k6Uh  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness ~~ w4854  
    V)@scB|>,  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens 7tnzgtal  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens 'S ;vv]}Gs  
    =1uI >[aN  
        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens Y`RfE  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens >l[N]CQ  
    `hhG^ O_  
        tlens = 3.767 + 0.04*A                  'Lens thickness z[Qv}pv  
    an$h~}/6:  
        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction 9tgkAU`  
    L*38T\  
        'Adjust parameters to account for accommodation A`8If  
    Tj#XsD?J  
        '************************************************************************* Gj?q+-d!(5  
        'Aqueous thickness (Position of Lens) sJvn#cS  
        '************************************************************************* suSIz 7:  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) %dQX d ]  
        GetCustomElement eID, entity F!<x;h(  
    |0 VP^md  
        parID = FindFullName( "Geometry.Arizona Eye" ) YEj U3^@  
    }9dgm[C[b  
        ' Delete any shift(s) in z wm4e:&  
        count = 0 C\[UAxZ3X  
        While GetOperationCount(eID)>count hkxZ=l  
            GetOperation eID, count, op vUA,`  
            If op.Type="ShiftZ" Then W_EN4p~J  
                DeleteOperation eID,count XDQ1gg`  
                count=count-1 .j.=|5nVo4  
            End If |szfup~5es  
            count=count+1 NI)nf;C  
        Wend ];YOP%2   
    tIw4V^'|  
        'Set new shift in o%iTYR :x  
        op.Type = "ShiftZ" 5{[0Clb)  
        op.val1 = taq l+,rc*-j0  
        op.parent = parID b/`' ?| C  
        AddOperation eID, op 6P8X)3CE<T  
        Print "Set aqueous humor thickness = " & taq-0.55 )*B.y|b #  
    |d8o<Q  
        '************************************************************************* ~]Jfg$'  
        'Radius and conic constant of anterior lens 3i1>EjML  
        '************************************************************************* &~EOM  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) vbU{Et\ ^  
        GetConic eID, entity, curv, conic P[~a'u  
     :n4x}%  
        SetConic eID, entity, 1/Rant, CCant FE.:h'^h  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant wim}}^H  
    c`cPGEv  
        '************************************************************************* Wj0([n  
        'Radius and conic constant of posterior lens ijfT!W  
        '************************************************************************* :>z0m 0nI\  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) t1S\M%?  
        GetConic eID, entity, curv, conic `7`iCYiTy  
    tee%E=P  
        SetConic eID, entity, 1/Rpost, CCpost _'Z@ < ,L  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost !xSGZ D=AD  
    FrS>.!OFn  
        '************************************************************************* BH^q.p_#>X  
        'Lens thickness (Position of posterior lens surface) t<-Iiq+tL  
        '************************************************************************* 0FBifK  
    nBd;d}LD  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) VlH9ap  
    QQcJUOxT9  
        ' Delete any z-shift(s) <v?-$3YT  
        count = 0 d?JVB  
        While GetOperationCount(eID)>count .+.Pc_fv  
            GetOperation eID, count, op sE% n=Ww  
            If op.Type="ShiftZ" Then dJk.J9Z  
                DeleteOperation eID,count /$E1!9J  
                count=count-1 MWB?V?qPSC  
            End If H)Yv_gT  
            count=count+1 d{  Z  
        Wend b.F2m(e2  
    iPao54Z  
        'Set new z-shift lxbZM9A2  
        op.Type = "ShiftZ" zT@vji%Y  
        op.val1 = tlens *ZHk^d:  
        op.parent = parID oPi)#|jcb  
        AddOperation eID, op Kgcg:r:  
        Print "Set lens thickness = " & tlens O1QHG'00  
    CR<*<=rI  
        '************************************************************************* aDs[\ '  
        'Lens index of refraction 1cPi>?R:  
        '************************************************************************* % tpjy,  
        eID = FindMaterial( "Lens" ) ?U&onGy  
        GetModelMaterial eID, mat bR.T94-8y  
    xf|=n  
        mat.Nd = nlens 4JucNGv  
        SetModelMaterial eID, mat &" =inkh  
        Print "Set lens index of refraction = " & nlens +IMP<  
    7kO 1d{u6b  
        '************************************************************************* =^6]N~*,D  
        'Pupil diameter rz4S"4  
        '************************************************************************* QJxcH$  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) W /IyF){  
    {Tx+m;5F  
        'Adjust pupil diameter (trimming volume inner hole) {oO!v}]  
    $OmtN"  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" ^#;2 Pd>  
    Da.vyp  
        ' Adjust pupil location to just in front of the lens p!=/a)4X  
        parID = FindFullName( "Geometry.Arizona Eye" ) a XwFQ,  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) h)sc-e  
        count = 0 % 30&6"  
        While GetOperationCount(eID)>count .iw+ #  
            GetOperation eID, count, op ?k/Uw'J4u/  
            If op.Type="ShiftZ" Then } pA0mW9  
                DeleteOperation eID,count T2k5\r8  
                count=count-1 ${ e{#  
            End If 8L0#<"'0  
            count=count+1 {jbOcx$t  
        Wend gq/q]Fm\  
        op.Type = "ShiftZ" W;2y.2*  
        op.val1 = taq-0.01 =>&d[G[m!  
        op.parent = parID jQc$>M<"o  
        AddOperation eID, op J-=&B5"O>  
    HyZh27PE  
        Print "Set pupil diameter = " & pupilDiam VsFRG;:\U  
    ~Xa >;  
        'Update AZ Eye subassembly Description &6h,'U  
        eID = FindFullName( "Geometry.Arizona Eye" ) ;R}:2  
        GetEntity eID, entity fy7]I?vm@  
        entity.Description = "Accommodation = " & A & "D" ~u.CY  
        SetEntity eID, entity k: D<Q  
    0&zp9(G5  
        Update L_O m<LO2  
        Print "DONE!" <.#i3!  
         ZfoI7<?33  
    End Sub zK?[6n89f  
    MK,#"Ty}zK  
    如果屈光度是4,光瞳直径是4,则会输出如下数据:  zoA]7pG-  
    iWO16=  
    Accommodation = 4 Diopters !M\8k$#"n  
    Pupil Diameter = 4 mm `N;JM3 ck  
    Set aqueous humor thickness = 2.81 E<Efxb' p  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 *IfLoKS'  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 7iT#dpF/A  
    Set lens thickness = 3.927 bvi Y.G3  
    Set lens index of refraction = 1.42672 SK#; /fav6  
    Set pupil diameter = 4 uK1DC i  
    DONE! <t\!g  
    L `3x0u2  
    /GqW1tcO  
    QQ:2987619807 p{NVJ^! +  
     
    分享到