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    [分享]Arizona眼睛模型 [复制链接]

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    离线infotek
     
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    只看楼主 倒序阅读 楼主  发表于: 2020-12-09
    简介 pOmHxFOOK  
    J+]W*?m  
    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。 '^6jRI,  
    H[;\[ 3  
    模型 =KCAHNr4?  
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    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。 o&PPW~D+h@  
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    Table 1. AZ眼睛模型的定义
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    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. U6sPJc<  
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    光源 |s}7<A  
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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。 :5 zXW;s  
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    图1. 光源和提示信息使用
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    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。 o'hwyXy/S  
    {] Zet}2  
    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。 )r +o51gp  
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    图2. 字母F光源的设定方法光 0;6 ^fiSY;  
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    图3. 字母F在视网膜上位置点列图
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    视网膜的散射  0+P[0  
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    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。 )RZ:\:c  
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    图4. 视网膜朗伯散射设定
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    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。 w<54mGMOLr  
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    图5. 视网膜重点采样规格设定
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    脚本 tXu_o6]  
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    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: 9yA? 82)E  
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    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
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    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。 2dpTU=K4  
    余下的脚本计算与屈光度有关的所有参数。 =w#sCy  
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    分析 %Q2<bj]  
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    屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 F ~O}@e{  
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    图7. 字母F在视网膜上颜色分析
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    脚本代码 D) my@W0,  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. 5[\LQtM  
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    Dim entity As T_ENTITY tPb$ua|  
    Dim op As T_OPERATION r:QLO~l/  
    Dim mat As T_MODELMATERIAL WXgGB[x  
    Dim A As Double A@I( &Z  
    Dim pupilDiam As Double Ce%fz~*b  
    Dim eID As Long 'GJ'Vli  
    Dim parID As Long fZ6"DJZ  
    Dim count As Integer g /v"E+  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double G$HXc$OY  
    Dim tlens As Double, nlens As Double VBe.&b8  
    Dim curv As Double, conic As Double N)tqjq  
    Dim ok As Long (tLAJ_v!.K  
    @UG%B7  
    Sub Main mO1r~-~AJ  
    *53@%9 {u  
        '用户输入对话框 oTjsiXS  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 -%g&O-i\  
            TextBox 220,21,40,21,.TextBox1 'default: 0 %l.5c Sn@  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 `ywI+^b  
            OKButton 40,91,90,21 Qe6'W  
            CancelButton 190,91,90,21 F#S )))#  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 ]@rt/ eX  
            TextBox 220,49,40,21,.TextBox2 'default: 4 3gcDc~~=  
        End Dialog 0zC mU)ng  
        Dim dlg As UserDialog 5 ?{ytNCY  
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        ok = Dialog (dlg) bWe_<'N  
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        If ok=0 Then    'cancel button was pressed f'>270pH  
            Print "Execution cancelled." Pgp`g.$<  
            End \F }s"#  
        End If 'q:t48&  
    (*CGZDg  
        'Assign accommodation and pupil diameter & use defaults if field left empty jLy3c@Dp  
        If dlg.TextBox1 = "" Then w '<8l w  
            A = 0           'Default accommodation F}C.F  
        Else 2VgDM6h  
            A = CDbl(dlg.TextBox1) X4bB  
        End If K\2UwX  
    .e,(}_[[<  
        If dlg.TextBox2 = "" Then S.#IC lV  
            pupilDiam = 4   'Default pupil diameter :qQpBr$  
        Else NPFrn[M$  
            pupilDiam = CDbl(dlg.TextBox2) f L}3I(VK  
        End If d;-/F b{4  
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        Print " " !jIpgs5  
        Print "Accommodation = " & A & " Diopters" `]0E)  
        Print "Pupil Diameter = " & pupilDiam & " mm" REe<k<>p~  
    u*aFWl]=  
        ' Calculate new parameters with accommodation c@]_V  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness uoIvFcb^  
    +F9)+wT~;q  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens zxV,v*L)  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens e_6-+l!f  
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        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens Xaca=tsO  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens 3,QsB<9Is  
    +$b_,s  
        tlens = 3.767 + 0.04*A                  'Lens thickness 3ZF-n`  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction #:5vN-9?  
    &QoV(%:]  
        'Adjust parameters to account for accommodation Y~j )B\^{  
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        '************************************************************************* <Kq4thR  
        'Aqueous thickness (Position of Lens) xXJl Qbs  
        '************************************************************************* h)MU^aP  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) }!W,/=z*  
        GetCustomElement eID, entity `h:$3a:5  
    ~ e4Pj`?=K  
        parID = FindFullName( "Geometry.Arizona Eye" ) Buue][[  
    ')8c  
        ' Delete any shift(s) in z +-VkRr#  
        count = 0 T"NDL[*  
        While GetOperationCount(eID)>count n&51_.@Q  
            GetOperation eID, count, op 4Hk eXS.  
            If op.Type="ShiftZ" Then x P3v65Q1  
                DeleteOperation eID,count O=9mLI6  
                count=count-1 p7\}X.L  
            End If mo$`a6[h<  
            count=count+1 }qa8o  
        Wend 4}4K6y<q  
    ?0{8fGM4  
        'Set new shift in xw)$).yc  
        op.Type = "ShiftZ" 5$(qnOi  
        op.val1 = taq [|XMR=\>  
        op.parent = parID >sUavvJ~x  
        AddOperation eID, op ";&5@H|  
        Print "Set aqueous humor thickness = " & taq-0.55 4t%g:9]vr  
    aWG7k#nE  
        '************************************************************************* IC1oW)  
        'Radius and conic constant of anterior lens 'mH9 O  
        '************************************************************************* y(#Aze{yC  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) /O@dqEbc  
        GetConic eID, entity, curv, conic x/UmpJD+  
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        SetConic eID, entity, 1/Rant, CCant 7B|ddi7Q>  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant .??[qBOTE  
    ,:Q+>h  
        '************************************************************************* nkv+O$LXP  
        'Radius and conic constant of posterior lens ~w&_l57  
        '************************************************************************* v*Fr #I0U  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) vp"b_x1-  
        GetConic eID, entity, curv, conic V*uoGWL]+  
    P|>pm]>C  
        SetConic eID, entity, 1/Rpost, CCpost KfSI6 Y _  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost cVx#dDdA  
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        '************************************************************************* 6@"lIKeP  
        'Lens thickness (Position of posterior lens surface) th$?#4SbR  
        '************************************************************************* ?"d25LyN  
    *?'^R c  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) PD- <D~7  
    ^1#"FU2cP  
        ' Delete any z-shift(s) 9]{(~=D7  
        count = 0 ~HW}Wik  
        While GetOperationCount(eID)>count ^""Ss  
            GetOperation eID, count, op Gk!06   
            If op.Type="ShiftZ" Then o@&Hc bN^  
                DeleteOperation eID,count m0: IFE($  
                count=count-1 @Kx@ 2#~b  
            End If ~^&]8~m*d  
            count=count+1 5gdsV4DH$  
        Wend c v .R`)l  
    +@U}gk;#c  
        'Set new z-shift tAI<[M@  
        op.Type = "ShiftZ" ^ #6Ei9di  
        op.val1 = tlens 2|LgUA?<  
        op.parent = parID 7K 8tz}  
        AddOperation eID, op tX<. Ud  
        Print "Set lens thickness = " & tlens N8]DW_bsB  
    F8c^M</  
        '************************************************************************* ;;A8TcE '  
        'Lens index of refraction :o)4Y  
        '************************************************************************* Y-0o>:SM  
        eID = FindMaterial( "Lens" ) _a~uIGN  
        GetModelMaterial eID, mat p41TSALq  
    'b?Px}  
        mat.Nd = nlens h{J=Rq  
        SetModelMaterial eID, mat ,#NH]T`c1  
        Print "Set lens index of refraction = " & nlens 0R#T3K}  
    c" |4'#S  
        '************************************************************************* ai3wSUYJi  
        'Pupil diameter 9r5<A!1#L  
        '************************************************************************* d0b`qk @4  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) 3M?vK(zG>P  
    zqDG#}3f^  
        'Adjust pupil diameter (trimming volume inner hole) LW"p/`#<  
    UBgheu  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" ?qdZ]M4e  
    \-Oq/g{j  
        ' Adjust pupil location to just in front of the lens */T.]^  
        parID = FindFullName( "Geometry.Arizona Eye" ) 8hKyp5(%l  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) -0 e&>H%  
        count = 0 yV'<l .N  
        While GetOperationCount(eID)>count w 2o% {n\L  
            GetOperation eID, count, op =GP~h*5es  
            If op.Type="ShiftZ" Then 2[O\"a%  
                DeleteOperation eID,count j06Xz\c  
                count=count-1 _ ?\4k{ET  
            End If (_9cL,v  
            count=count+1 XOdkfmc+s'  
        Wend B9Ha6kj  
        op.Type = "ShiftZ" Zi!6dl ev  
        op.val1 = taq-0.01 $bGe1\  
        op.parent = parID B!;qz[]I  
        AddOperation eID, op iG.qMf.  
    h rksPK"s2  
        Print "Set pupil diameter = " & pupilDiam K|OowM4tv  
    ]+OHxCj:  
        'Update AZ Eye subassembly Description XDot3)2`  
        eID = FindFullName( "Geometry.Arizona Eye" ) ,{pC1A@s  
        GetEntity eID, entity o#X=1us  
        entity.Description = "Accommodation = " & A & "D" SEL7,8 Hm  
        SetEntity eID, entity pE^jUxk6  
    |x Nd^  
        Update ThvVLK  
        Print "DONE!" o:.6{+|N  
         f19~B[a  
    End Sub +Vf39}8  
    %+1;iuDL  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: *<5zMSZO  
    ",pN.<F9O  
    Accommodation = 4 Diopters `X=2Ff  
    Pupil Diameter = 4 mm `akbzHOM  
    Set aqueous humor thickness = 2.81 3hPj;-u  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 -9L [eYn  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 jgkJF[t`  
    Set lens thickness = 3.927 ?)60JWOJ1  
    Set lens index of refraction = 1.42672 A18&9gY  
    Set pupil diameter = 4 #Fl5]> |  
    DONE! nJ ZQRRa:C  
    HgY#O r(  
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    QQ:2987619807 6{qI  
     
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