切换到宽版
  • 广告投放
  • 稿件投递
  • 繁體中文
    • 1826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
    6389
    光币
    26090
    光券
    0
    只看楼主 倒序阅读 楼主  发表于: 2021-10-22
    简介 f(~N+2}  
    )E>yoUhN  
    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。 U$& '>%#  
    e(|Z<6  
    模型 83t/ \x,Q  
    P~=yTW  
    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。 /:(A9b-B  
    7H< IO`  
    Table 1. AZ眼睛模型的定义
    !3Pmjip  
    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. 'o#oRK{#  
    p'2IlQ\  
    光源 jga\Ry=nw  
    Bps%>P~.  
    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。 mY4pvpZw8  
    v x/YWZ  
    :,Y1#_\  
    图1. 光源和提示信息使用
    d8w3Oz54  
    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。 !W@mW 5J|  
    3-{BXht)  
    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。 PRaVe,5a  
    `Y4Kw  
    图2. 字母F光源的设定方法光 72Y 6gcg  
    xwof[BnEZ  
    图3. 字母F在视网膜上位置点列图
    <%S)6cw(3  
    视网膜的散射 D^US2B  
    kF~(B]W(  
    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。 8TeOh 1\  
    . c+m(Pk  
    7` ;sX?R  
    图4. 视网膜朗伯散射设定
    *kFd#b+xB  
    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。 2WFZ6  
    9AX}V6\+  
    @GQfBV|3  
    图5. 视网膜重点采样规格设定
    :1j8!R5  
    脚本 zH}3J}  
    hDJG.,r  
    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: P7XZ|Td4*  
    ra T9  
    图6. 用户对话框的创建与编辑
    yT@Aj;X0v  
    图7. 用户对话框编辑器
    &3Zb?  
    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。 -?)^ hbr  
    余下的脚本计算与屈光度有关的所有参数。 {jB> ]7  
    nWIZ0Nde'  
    分析 /h+ W L  
    |du%c`wl  
    屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 3u/JcU-<  
    $e7%>*?m  
    图7. 字母F在视网膜上颜色分析
    _) x{TnK  
    脚本代码 P|$n   
    U`qC.s(L  
    Option Explicit     'Remove this to enable non-dimensioned variables to be used. g&xj(SMj-$  
    6-_g1vq  
    Dim entity As T_ENTITY %%s)D4sW  
    Dim op As T_OPERATION h2Nt@  
    Dim mat As T_MODELMATERIAL y%i9 b&gDd  
    Dim A As Double EyA ny\"  
    Dim pupilDiam As Double H@ 1'El\9  
    Dim eID As Long 3&^hf^yg  
    Dim parID As Long 8Re[]bE  
    Dim count As Integer \+R%KA/F  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double Q /4-7  
    Dim tlens As Double, nlens As Double >S7t  
    Dim curv As Double, conic As Double cj>UxU][eS  
    Dim ok As Long QX<n^W  
    BJux5Nh  
    Sub Main . f ja;aG  
    Z&Ob,Ru  
        '用户输入对话框 A r]*?:4y[  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 ]{6/6jl  
            TextBox 220,21,40,21,.TextBox1 'default: 0 1DB{"8ov  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 ):G%o  
            OKButton 40,91,90,21 =\%ER/  
            CancelButton 190,91,90,21 mxgT}L0i  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 6 H P 66B  
            TextBox 220,49,40,21,.TextBox2 'default: 4 (NLw#)?  
        End Dialog `&D#P%  
        Dim dlg As UserDialog r89AX{:  
    @\y{q;  
        ok = Dialog (dlg) Z8$BgP  
    _gqqPny4$  
        If ok=0 Then    'cancel button was pressed 47Z3 nl?  
            Print "Execution cancelled." ]!{S2x&"  
            End 0 MK}  
        End If u?`{s88_mF  
    =l43RawAmu  
        'Assign accommodation and pupil diameter & use defaults if field left empty %jjPs .  
        If dlg.TextBox1 = "" Then u4~+Bc_GL  
            A = 0           'Default accommodation )\Q(=:  
        Else tC'E#2  
            A = CDbl(dlg.TextBox1) S<i1t[E @W  
        End If 6AJk6 W^Z  
    ^5E9p@d"J  
        If dlg.TextBox2 = "" Then IrL%0&*hS  
            pupilDiam = 4   'Default pupil diameter 6NX#=A  
        Else (BLxK)0<"  
            pupilDiam = CDbl(dlg.TextBox2) / rc[HbNg.  
        End If %cSx`^`6j  
    y{@\8B]  
        Print " " ?0t^7HMP  
        Print "Accommodation = " & A & " Diopters" c},pu[nL  
        Print "Pupil Diameter = " & pupilDiam & " mm" (Y)2[j  
    S3Y.+. 0U  
        ' Calculate new parameters with accommodation Wz' !stcp  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness {jO+N+Ez9  
    (U&  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens <rE>?zvm  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens ]_h 3  
    > mO*.'Gm  
        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens VH]}{i"`  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens kAEq +{h  
    !4afU:  
        tlens = 3.767 + 0.04*A                  'Lens thickness %N-aLw\  
    &qS%~h%2  
        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction CO`)XB6W  
    i1uoYb?4(I  
        'Adjust parameters to account for accommodation $97O7j@  
    \~*<[.8~  
        '************************************************************************* LXo$\~M8G8  
        'Aqueous thickness (Position of Lens) S&}7XjY  
        '************************************************************************* R)66qRf  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" )  C^"zU>W_  
        GetCustomElement eID, entity T$lV+[7  
    ikc1,o  
        parID = FindFullName( "Geometry.Arizona Eye" ) N-upNuv  
    gF p3=s0~  
        ' Delete any shift(s) in z G~5pMyOR  
        count = 0 Sh!c]r>\Q  
        While GetOperationCount(eID)>count !=:>yWQ  
            GetOperation eID, count, op Ts !g=F  
            If op.Type="ShiftZ" Then 44*#qLN  
                DeleteOperation eID,count }%Mdf6LS64  
                count=count-1 !s-A`} s+  
            End If eP]y\S*P  
            count=count+1 #S?^?3d  
        Wend b y>%}#M  
    C<J*C0vQO  
        'Set new shift in /GGyM]k3  
        op.Type = "ShiftZ" O z0-cM8t  
        op.val1 = taq u9@B&  
        op.parent = parID X6 BIZ  
        AddOperation eID, op vSnVq>-q&  
        Print "Set aqueous humor thickness = " & taq-0.55 A.r7 ks  
    &'/"=lK  
        '************************************************************************* U*a#{C7"  
        'Radius and conic constant of anterior lens h7+"*fN  
        '************************************************************************* ura&9~   
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) F[}#7}xjA  
        GetConic eID, entity, curv, conic s-rc0:I  
    &5-1Cd E  
        SetConic eID, entity, 1/Rant, CCant 73X*|g  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant n0l|7:Mk  
    vE )N6Ss  
        '************************************************************************* xK6`|/e  
        'Radius and conic constant of posterior lens + -Rf@  
        '************************************************************************* P{)D_Bi  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) )(G<(eiD  
        GetConic eID, entity, curv, conic @]n8*n  
    m[=SCH-;  
        SetConic eID, entity, 1/Rpost, CCpost #[M^Q h  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost n3$=&   
    zY\u" '4  
        '************************************************************************* }SWfP5D@  
        'Lens thickness (Position of posterior lens surface) vy~6]hH  
        '************************************************************************* 5Yv*f:  
    G@DNV3Cc  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) ZOfv\(iJ;  
    AHs%?5YTY;  
        ' Delete any z-shift(s) 4|_xz; i  
        count = 0 HVA:|Z19  
        While GetOperationCount(eID)>count p'LLzc##  
            GetOperation eID, count, op 3q4Zwv0z20  
            If op.Type="ShiftZ" Then Xd:{.AXW  
                DeleteOperation eID,count &C MBTY#u  
                count=count-1 ,5zY1C==Ut  
            End If Cl3vp_  
            count=count+1 R7rM$|n=o  
        Wend Y[L,rc/j  
    CfW#Wk:8J  
        'Set new z-shift BaIpX<$T  
        op.Type = "ShiftZ" 2T*kmDp  
        op.val1 = tlens k I`HD  
        op.parent = parID SHYekX  
        AddOperation eID, op g"sb0d9  
        Print "Set lens thickness = " & tlens #tZ!D^GQHq  
    9)+!*(D  
        '************************************************************************* qGag{E5!  
        'Lens index of refraction ti GH#~?  
        '************************************************************************* LNJKf6:  
        eID = FindMaterial( "Lens" ) 7a9">:~  
        GetModelMaterial eID, mat 9K}DmS  
    vVtkB$]L  
        mat.Nd = nlens ,9G'1%z,  
        SetModelMaterial eID, mat Ydsnu  
        Print "Set lens index of refraction = " & nlens Bs0~P 4^  
    B> E4,"  
        '************************************************************************* }2LG9B%  
        'Pupil diameter H%n/;DW  
        '************************************************************************* 0>j0L8#^p  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) C4E}.``Hm  
    !Yo2P"  
        'Adjust pupil diameter (trimming volume inner hole) D A=LR  
    pqs!kSJV  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" NUiv"tAY  
    2A  
        ' Adjust pupil location to just in front of the lens  ^4WZ%J#g  
        parID = FindFullName( "Geometry.Arizona Eye" ) Q-h< av9  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) IrRy1][Qr  
        count = 0 ISZEP8w  
        While GetOperationCount(eID)>count J" ,Cwk\  
            GetOperation eID, count, op /b{@']  
            If op.Type="ShiftZ" Then rYPuo  
                DeleteOperation eID,count |7|'J Ty  
                count=count-1 GKg #nXS  
            End If 9Q(Lnu  
            count=count+1 _Rj bm'kC  
        Wend  XU"G  
        op.Type = "ShiftZ" Y_$!XIJ4  
        op.val1 = taq-0.01 IH*G7;  
        op.parent = parID g#{7qmM  
        AddOperation eID, op ~yN>9f U  
    g NE"z   
        Print "Set pupil diameter = " & pupilDiam 1h(n}u  
    pPsTgGai  
        'Update AZ Eye subassembly Description [D|Uwq  
        eID = FindFullName( "Geometry.Arizona Eye" ) # .&t'"u  
        GetEntity eID, entity )sIzBC  
        entity.Description = "Accommodation = " & A & "D" .gNJY7`b  
        SetEntity eID, entity c;b<z|}z  
    {3os9r,  
        Update 4Vj]bm  
        Print "DONE!" kazgI>"Q8  
         ,|+{C~Ojx  
    End Sub sn[<Lq  
    \RVfgfe  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: 3KD:JKn^  
    r^s$U,e#~  
    Accommodation = 4 Diopters @(/$;I,  
    Pupil Diameter = 4 mm 1(aib^!B  
    Set aqueous humor thickness = 2.81 ,!AYeVq  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 e'|P^G>g  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 }+NlY D:qF  
    Set lens thickness = 3.927 _B 4 N2t$  
    Set lens index of refraction = 1.42672 ?)qm=mebY  
    Set pupil diameter = 4 B_c-@kl   
    DONE! L!5="s[}  
     
    分享到