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    [技术]Arizona眼睛模型 [复制链接]

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    只看楼主 正序阅读 楼主  发表于: 2021-10-22
    简介 9qG6Pb  
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    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。 e**qF=HCw  
    "LTad`]<Ro  
    模型 &KRX[2  
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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。 65Yv4pNL  
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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. SI-Ops~e  
    R/z=p_6p7`  
    光源 j  e P  
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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。 v^ V itLC  
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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。 7%eK37@u  
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    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。 ,1o FPa{?  
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    图2. 字母F光源的设定方法光 v #j$;  
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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 8c^TT&  
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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。 + @s"zp;F  
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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。 _^%,x  
    '@k+4y9q?  
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    图5. 视网膜重点采样规格设定
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    脚本 lp%pbx43s  
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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: ^yN&ZI3P&  
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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。 Q:d]imw!O  
    余下的脚本计算与屈光度有关的所有参数。 Od,qbU4O  
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    分析 57  
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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。 _TQj~W<  
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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 Ig0VW)@  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. 6) [H?Q  
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    Dim entity As T_ENTITY y(yHt= r  
    Dim op As T_OPERATION v\%HPMlh  
    Dim mat As T_MODELMATERIAL [MM~H0=s  
    Dim A As Double 1JG'%8}#8  
    Dim pupilDiam As Double x@;m8z0  
    Dim eID As Long 4*cEag   
    Dim parID As Long =|y9UlsD  
    Dim count As Integer =ncVnW{  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double t pQ(g%  
    Dim tlens As Double, nlens As Double r1{@Ucw2  
    Dim curv As Double, conic As Double 0)e\`Bv  
    Dim ok As Long Zaf:fsj>  
    .2Elr(&*h  
    Sub Main hT&Y#fh  
    ,CcV/K  
        '用户输入对话框 9ZsVy  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 ,K"U> &  
            TextBox 220,21,40,21,.TextBox1 'default: 0 W/bQd)Jvk  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 :zke %Yx  
            OKButton 40,91,90,21 4-y :/8  
            CancelButton 190,91,90,21  a a/(N7  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 A>;bHf@  
            TextBox 220,49,40,21,.TextBox2 'default: 4 k:#!zK}  
        End Dialog 6@F9G 4<Z  
        Dim dlg As UserDialog ;) z:fToh  
    ;rGwc$?|  
        ok = Dialog (dlg) `w7v*h|P  
    h# o6K#  
        If ok=0 Then    'cancel button was pressed $$;M^WV^?.  
            Print "Execution cancelled." =M [bnq*\  
            End .K2qXw"S#  
        End If 1POmP&fI(  
    b;W3j   
        'Assign accommodation and pupil diameter & use defaults if field left empty &P}_bx  
        If dlg.TextBox1 = "" Then BWv^ zi  
            A = 0           'Default accommodation x$.^"l-vX  
        Else :B5Fdp3  
            A = CDbl(dlg.TextBox1) U175{N%3  
        End If ;yLu R  
    p\tm:QWD;  
        If dlg.TextBox2 = "" Then G kl71VX  
            pupilDiam = 4   'Default pupil diameter Y^;ovH~ ve  
        Else N06OvU2>xU  
            pupilDiam = CDbl(dlg.TextBox2) S.94 edQ  
        End If .*?wF  
    FQ7T'G![  
        Print " " t?-n*9,#S  
        Print "Accommodation = " & A & " Diopters" M l{Z  
        Print "Pupil Diameter = " & pupilDiam & " mm" aFb==73aLw  
    ~"&|W'he[  
        ' Calculate new parameters with accommodation {JO  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness #@9/g  
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        Rant = 12.0 - 0.4*A                     'Radius of anterior lens wc NOLUl  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens ~hnQUS`A  
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        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens k"T}2 7  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens 0KcyLAJ  
    r6MMCJ|G  
        tlens = 3.767 + 0.04*A                  'Lens thickness V6&!9b  
    9Zt`u,;  
        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction RXpw!  
    \K{0L  
        'Adjust parameters to account for accommodation UXc-k  
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        '************************************************************************* dGYn4i2k?  
        'Aqueous thickness (Position of Lens) 1R{!]uh  
        '************************************************************************* z0p*Z&  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) /ivJsPH  
        GetCustomElement eID, entity 0neoE E  
    pMx*F@&nU  
        parID = FindFullName( "Geometry.Arizona Eye" ) j9x<Y]  
    &I+5  
        ' Delete any shift(s) in z <CYd+! (  
        count = 0 L%*!`TN  
        While GetOperationCount(eID)>count 3nIU1e  
            GetOperation eID, count, op Sz)' ogl  
            If op.Type="ShiftZ" Then SO|NaqWa  
                DeleteOperation eID,count fNli  
                count=count-1 +qtJaYf/0  
            End If zUkgG61  
            count=count+1 ^pAAzr"hv  
        Wend nX6u(U  
    g|DF[  
        'Set new shift in d6?j`~[7#-  
        op.Type = "ShiftZ" 8rnwXPBN  
        op.val1 = taq Fh?gNSWq6  
        op.parent = parID $Uq|w[LA  
        AddOperation eID, op (Ft+uuG  
        Print "Set aqueous humor thickness = " & taq-0.55 1b `1{%  
    F 5bj=mI  
        '************************************************************************* ~rE|%o  
        'Radius and conic constant of anterior lens }l(&}#dY  
        '************************************************************************* M)J5;^["  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) DbBcQ%  
        GetConic eID, entity, curv, conic 'NXN& {  
    v}}F,c(f  
        SetConic eID, entity, 1/Rant, CCant n Mq,F#`3N  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant EA@ .,7F  
    Ex Y]Sdx  
        '************************************************************************* GfxZ'VIn  
        'Radius and conic constant of posterior lens 9|^2",V  
        '************************************************************************* ~WeM TXF>y  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) Z, zWuE3  
        GetConic eID, entity, curv, conic :[p}  
    .LPV#&   
        SetConic eID, entity, 1/Rpost, CCpost qTRsZz@  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost !_]Y~[  
    mDA:nx%5<  
        '************************************************************************* :;RMo2Tl  
        'Lens thickness (Position of posterior lens surface) @ wGPqg  
        '************************************************************************* ?h ZAxR\  
    4M=]wR;  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) Avge eJi  
    0#7>o^2  
        ' Delete any z-shift(s) BA@lk+aW  
        count = 0 .wEd"A&j  
        While GetOperationCount(eID)>count uanhr)Ys  
            GetOperation eID, count, op (+w*[qHe  
            If op.Type="ShiftZ" Then & TCkpS  
                DeleteOperation eID,count 1jmjg~W  
                count=count-1 =J]&c?I  
            End If afCW(zH p  
            count=count+1 QGMV}y  
        Wend \0^Kram>  
    fF!Yp iI"  
        'Set new z-shift NJ%P/\ C  
        op.Type = "ShiftZ" _>o:R$ %}  
        op.val1 = tlens f$o_e90mu  
        op.parent = parID 3<e=g)F  
        AddOperation eID, op iOf<$f  
        Print "Set lens thickness = " & tlens pE3?"YO  
    3p$?,0ELH  
        '************************************************************************* ~T"Rw2v b  
        'Lens index of refraction WqR&&gz  
        '************************************************************************* ,5P0S0*{  
        eID = FindMaterial( "Lens" ) s-NX o  
        GetModelMaterial eID, mat M :=J^0  
    <X#C)-.  
        mat.Nd = nlens 9sM!`Lz{  
        SetModelMaterial eID, mat +X\FBvP&  
        Print "Set lens index of refraction = " & nlens N_LM/of|D  
    4V"E8rUL(  
        '************************************************************************* {Ea b j  
        'Pupil diameter Q8$}@iA[  
        '************************************************************************* Ky`qskvu  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) ;_XFo&@  
    ,Y@Gyx!4  
        'Adjust pupil diameter (trimming volume inner hole) (Nq=H)cm8  
    av(6wht8  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" HRpte=`q  
    JB\UKZXw  
        ' Adjust pupil location to just in front of the lens 8%:Iv(UMk  
        parID = FindFullName( "Geometry.Arizona Eye" ) [ XN={  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) 1wii8B6  
        count = 0 9v#CE!  
        While GetOperationCount(eID)>count Mg+2. 8%  
            GetOperation eID, count, op YByLoM*  
            If op.Type="ShiftZ" Then .w:DFk^E]b  
                DeleteOperation eID,count 6u?>M9  
                count=count-1 ),_@WW;k  
            End If y1z4ik)Sd@  
            count=count+1 {aZ0;  
        Wend xKbXt;l2  
        op.Type = "ShiftZ" v<k?Vu  
        op.val1 = taq-0.01 T%+ #xl  
        op.parent = parID t <~h'U  
        AddOperation eID, op -$\y_?}  
    k``_EiV4t  
        Print "Set pupil diameter = " & pupilDiam REQ\>UO_  
    > [)7U _|p  
        'Update AZ Eye subassembly Description L]7=?vN=8  
        eID = FindFullName( "Geometry.Arizona Eye" ) $Ph|e)p  
        GetEntity eID, entity ]IaMp788  
        entity.Description = "Accommodation = " & A & "D" K&u_R  
        SetEntity eID, entity $+Z[K.2J  
    @b\$yB@z  
        Update b\f O8{k  
        Print "DONE!" gE-tjoJ  
         VCYwzB  
    End Sub 4>YR{  
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    如果屈光度是4,光瞳直径是4,则会输出如下数据: " > ypIR<  
    g_E$=j92v  
    Accommodation = 4 Diopters %64 )(z  
    Pupil Diameter = 4 mm TT%M' 5&  
    Set aqueous humor thickness = 2.81 oE @a'*.\  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 @ 6\I~s(  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 D'>_I.  
    Set lens thickness = 3.927 x%=si[P  
    Set lens index of refraction = 1.42672 m<G,[Yc  
    Set pupil diameter = 4 #&+{mCjs  
    DONE! P.se'z)E  
     
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