切换到宽版
  • 广告投放
  • 稿件投递
  • 繁體中文
    • 1520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
    6421
    光币
    26250
    光券
    0
    只看楼主 倒序阅读 楼主  发表于: 2020-12-09
    简介 Azdz3/  
    E#&c]9QM75  
    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。 5Tcl<Y6l  
    f0N)N}y  
    模型 [1Qk cR  
    f6dE\  
    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。 0& SrKn  
    &)fhlp5  
    Table 1. AZ眼睛模型的定义
    Rd;~'gbG  
    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. f0HV*%8  
    Occ8Hk/l.  
    光源 Hz;jJ&S  
    nEa'e5 lg  
    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。 {YxSH %  
    G*{u(x(  
    A{u\8-u  
    图1. 光源和提示信息使用
    yC&b-y  
    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。 Fh3Dc 83~  
    ]w&?k:y>  
    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。 <(6-9(zHa  
    EFT02#F_f  
    图2. 字母F光源的设定方法光 ]'bQ(<^#  
    @poMK:  
    图3. 字母F在视网膜上位置点列图
    :g]HB ,78  
    视网膜的散射 66Cj=n5  
    6LF^[b/u  
    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。 C6;](rN)N  
    X=!n,=xI  
    NIXcib"tG  
    图4. 视网膜朗伯散射设定
    >R'VY "\  
    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。 VES4x%r=  
    #k|g9`  
    l52n/w#qFB  
    图5. 视网膜重点采样规格设定
    |WwFE|<  
    脚本 C\hZ;Z1  
    VEdnP+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: "< hx  
    zdpLAr  
    图6. 用户对话框的创建与编辑
    l2KxZteXY0  
    图7. 用户对话框编辑器
    ]@j"0F/`  
    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。 /w0v5X7  
    余下的脚本计算与屈光度有关的所有参数。 hvv>UC/  
    0z<]\a4  
    分析 +ouy]b0`t  
    f'?6D+Yw~  
    屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 #I{Yf(2Z  
    J9KLO=  
    图7. 字母F在视网膜上颜色分析
    l4BO@   
    脚本代码 piM11W}|/  
     pmpn^ZR  
    Option Explicit     'Remove this to enable non-dimensioned variables to be used. 7<C~D,x6  
    %`uRUex  
    Dim entity As T_ENTITY uD*s^  
    Dim op As T_OPERATION 3lrZ-k+S{  
    Dim mat As T_MODELMATERIAL k;Ny%%5  
    Dim A As Double Q!A3hr$IF  
    Dim pupilDiam As Double p(b1I+!  
    Dim eID As Long !6 fpMo  
    Dim parID As Long c%,6L<[  
    Dim count As Integer HZQ3Ht3Vh  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double -L'`d  
    Dim tlens As Double, nlens As Double ?0)XS<  
    Dim curv As Double, conic As Double a.*j8T  
    Dim ok As Long ;g)Fhdy!  
    %K f . F  
    Sub Main oB}G^t  
    c+K=pp@  
        '用户输入对话框 %Fm;LQa ]  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 ';T5[l,  
            TextBox 220,21,40,21,.TextBox1 'default: 0 ~esEql=Q3'  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 {O,M}0Eg  
            OKButton 40,91,90,21 ^HN  
            CancelButton 190,91,90,21 r D!.N   
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 nm|m1Z+U  
            TextBox 220,49,40,21,.TextBox2 'default: 4 t=\[J+  
        End Dialog 5 Yibv6:3a  
        Dim dlg As UserDialog YH+\rb_  
    ^3@a0J=F  
        ok = Dialog (dlg) $j2)_(<A%Q  
    E#F9<=mA)  
        If ok=0 Then    'cancel button was pressed >]08".ajS  
            Print "Execution cancelled." <XcMc<h~  
            End W[Ew6)1T  
        End If ^9f`3~!#bc  
    |l\/ {F  
        'Assign accommodation and pupil diameter & use defaults if field left empty nXaX=  
        If dlg.TextBox1 = "" Then FveK|-  
            A = 0           'Default accommodation qy(/   
        Else F3|pS:  
            A = CDbl(dlg.TextBox1) adPU)k_j:  
        End If ~I^[rP~  
    nKJ7K8)  
        If dlg.TextBox2 = "" Then bRe*(  
            pupilDiam = 4   'Default pupil diameter _eeX]xSSl  
        Else Pi sr&"A  
            pupilDiam = CDbl(dlg.TextBox2) c5+lm}R?  
        End If +dpj?  
    ){|Lh(  
        Print " " '# 2J?f'  
        Print "Accommodation = " & A & " Diopters" v5ddb)  
        Print "Pupil Diameter = " & pupilDiam & " mm" gbv[*R{<%  
    c'TLD!^hB  
        ' Calculate new parameters with accommodation V>j`  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness ;mKU>F<V  
    x9 L\"  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens ?(UXK hs  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens T eTOj|  
    @[Qg}'i  
        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens =QO[zke:  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens wyEgm:Vt  
    M\4;d #  
        tlens = 3.767 + 0.04*A                  'Lens thickness >gLy z2  
    }ucg!i3C  
        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction Jm,X~Si  
    <a}|G1 h  
        'Adjust parameters to account for accommodation 3t6'5{  
    qinQ5t  
        '************************************************************************* 'ZgW~G]S  
        'Aqueous thickness (Position of Lens) 7%}}m&A7h  
        '************************************************************************* qfe%\krN{i  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) 3;gtuqwD$  
        GetCustomElement eID, entity U4pvQE.m<  
    J%B?YO,  
        parID = FindFullName( "Geometry.Arizona Eye" ) = +\oL!^  
    l:/V%{sx  
        ' Delete any shift(s) in z B y8Tw;aL  
        count = 0 +Z0E?,Oz  
        While GetOperationCount(eID)>count ^Exq=oV  
            GetOperation eID, count, op zX Pj7K*  
            If op.Type="ShiftZ" Then +34jot.!  
                DeleteOperation eID,count D4-U[l+K>  
                count=count-1 <xNM@!'\h  
            End If yKhzymS}T  
            count=count+1 y_r6T XnGL  
        Wend p5BcDYOw`  
    _( Cp   
        'Set new shift in 55KL^+-~  
        op.Type = "ShiftZ" /T'nY{  
        op.val1 = taq tqC#_[~7  
        op.parent = parID Y)RikF >  
        AddOperation eID, op E #]%e^  
        Print "Set aqueous humor thickness = " & taq-0.55 l'f!za0  
    py4_hj\v  
        '************************************************************************* E:OeU_\  
        'Radius and conic constant of anterior lens ]gk1h=Y~h  
        '************************************************************************* QX|K(`of  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) pU/.|Sh  
        GetConic eID, entity, curv, conic Im#$iPIvT  
    "VCr^'  
        SetConic eID, entity, 1/Rant, CCant Z:Am\7 I  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant cv1L!Ce,  
    vBXr[XoC  
        '************************************************************************* g"f^YEQ_  
        'Radius and conic constant of posterior lens Inoou 'jX  
        '************************************************************************* yh<aFYdk  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) I{bi3y0  
        GetConic eID, entity, curv, conic PS1~6f"D  
    YT8`Vz$+  
        SetConic eID, entity, 1/Rpost, CCpost J6P Tkm}^  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost Ca|;8ggf  
    Xs_y!l  
        '************************************************************************* ; & +75n  
        'Lens thickness (Position of posterior lens surface) t]XJ q  
        '************************************************************************* c5pG?jr+d  
    (5 hu W7v  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) u>#'Y+7  
    (#lS?+w)  
        ' Delete any z-shift(s) OwUbm0)h^V  
        count = 0 _>I5Ud8(-  
        While GetOperationCount(eID)>count %4J?xhd  
            GetOperation eID, count, op  `SrVMb(  
            If op.Type="ShiftZ" Then _A*0K,F-  
                DeleteOperation eID,count 2ra4t]f6  
                count=count-1 RPwSo.c4  
            End If {lJpcS  
            count=count+1 ]ghPbS@  
        Wend p10->BBg  
    l:HuG!  
        'Set new z-shift jT',+   
        op.Type = "ShiftZ" <D}k@M Z  
        op.val1 = tlens 3&f{lsLAC  
        op.parent = parID ;p8xL)mUP  
        AddOperation eID, op 00+5a TrE  
        Print "Set lens thickness = " & tlens wC~Uy%  
    Sb.;$Be5g  
        '************************************************************************* p P&~S<[  
        'Lens index of refraction Xo b##{P3  
        '************************************************************************* yFjSvm6  
        eID = FindMaterial( "Lens" ) Sr IynO  
        GetModelMaterial eID, mat m{|n.b  
    Zlhr0itf  
        mat.Nd = nlens '1<QK  
        SetModelMaterial eID, mat ; V8 =B8w  
        Print "Set lens index of refraction = " & nlens vSh)r 9  
    zuw6YY8kQ  
        '************************************************************************* I]58;|J  
        'Pupil diameter .E(Ucnz/  
        '************************************************************************* IV76#jL  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) Sj\8$QIXC  
    zQ~nS  
        'Adjust pupil diameter (trimming volume inner hole) t"Rn#V\c."  
     OxRzKT  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" W;7cF8fu4  
    eo !{rs@f  
        ' Adjust pupil location to just in front of the lens ja2LXM  
        parID = FindFullName( "Geometry.Arizona Eye" ) ~<-i7uM  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) oID, PB*9  
        count = 0 3f0RMk$pH  
        While GetOperationCount(eID)>count f`cO5lP/:)  
            GetOperation eID, count, op JXrMtSp\  
            If op.Type="ShiftZ" Then ?]S*=6  
                DeleteOperation eID,count MFrVGEQBRL  
                count=count-1 HUH=Y;  
            End If }/=_  
            count=count+1 i{.!1i:  
        Wend G"]'`2.m  
        op.Type = "ShiftZ" :|bPr_&U$  
        op.val1 = taq-0.01 gU:jx  
        op.parent = parID Onao'sjY  
        AddOperation eID, op yd $y\pN=<  
    sHNt>5p  
        Print "Set pupil diameter = " & pupilDiam xpae0vw  
    UWz<~Vy  
        'Update AZ Eye subassembly Description HjrCX>v  
        eID = FindFullName( "Geometry.Arizona Eye" ) umY4tNe]$  
        GetEntity eID, entity 5^qI6 U  
        entity.Description = "Accommodation = " & A & "D" GKX#-zsh79  
        SetEntity eID, entity $4m{g"xL  
    #-{4F?DA]y  
        Update D?$f[+  
        Print "DONE!" RaR$lcG+iY  
         ral0@\T  
    End Sub -70Ut 4B  
    7+fFKZFKF  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: cYK3>p A  
    q*>`HTPcU  
    Accommodation = 4 Diopters =73wngw  
    Pupil Diameter = 4 mm 7C=t19&R'  
    Set aqueous humor thickness = 2.81 HghNI  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 rxO|k0x^C  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 DF<_Ns!  
    Set lens thickness = 3.927 b1-JnEc  
    Set lens index of refraction = 1.42672 h<[o;E  
    Set pupil diameter = 4 H'+P7*k#M  
    DONE! J^U#dYd  
    \\_Qv  
    *+5AN306  
    QQ:2987619807 bx1'  
     
    分享到