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    [技术]Arizona眼睛模型 [复制链接]

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    只看楼主 倒序阅读 楼主  发表于: 2021-10-22
    简介 _+ z5~6>  
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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。 Dg]( ?^  
    (~t/8!7N  
    模型 s UX%{|T_  
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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。 \yeo-uN8  
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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. GY9CU=-  
    'Dl31w%:  
    光源 67zCil  
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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。 871taL=  
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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。 4f+R}Ee7  
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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。 \ UCOe  
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    图2. 字母F光源的设定方法光 rap`[O|l=  
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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 Q)}_S@v|%  
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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。  3LKL,z  
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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。 XI#1)  
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    图5. 视网膜重点采样规格设定
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    脚本 Q9v OY8  
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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: %hcn|-" F  
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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。 ^ ,`;x  
    余下的脚本计算与屈光度有关的所有参数。 FM\yf ]'  
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    分析 )@"iWQ 3K  
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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。 %W!C  
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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 t#pF.!9=  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. C(( 7  
    Er; @nOyD  
    Dim entity As T_ENTITY tBSHMz  
    Dim op As T_OPERATION y_bb//IAG  
    Dim mat As T_MODELMATERIAL {<f_,Nlc  
    Dim A As Double # fvt:iE  
    Dim pupilDiam As Double *` }Rt  
    Dim eID As Long N5$IVz}  
    Dim parID As Long {Vy2uow0  
    Dim count As Integer Gt9(@USK  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double ~y@,d  
    Dim tlens As Double, nlens As Double !?t#QD o  
    Dim curv As Double, conic As Double bDh,r!I  
    Dim ok As Long e C\;n  
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    Sub Main Eg&oAY.U  
    KjK.Sv{N  
        '用户输入对话框 \4;}S&`k  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 )TNAgTmqK  
            TextBox 220,21,40,21,.TextBox1 'default: 0 $]eU'!2)  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 u,]?_bK)  
            OKButton 40,91,90,21 2)O-EAn  
            CancelButton 190,91,90,21 ySyA!Z  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 Oj6PmUK4  
            TextBox 220,49,40,21,.TextBox2 'default: 4 yht|0mZV  
        End Dialog yb)!jLnH  
        Dim dlg As UserDialog oqu; D'8  
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        ok = Dialog (dlg) fQZ,kl  
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        If ok=0 Then    'cancel button was pressed rGPFPsMQ]  
            Print "Execution cancelled." 1A>>#M=A  
            End s d -5AE  
        End If +&t`"lRl&  
    GEJEhwO;H  
        'Assign accommodation and pupil diameter & use defaults if field left empty >lZ9Y{Y4v  
        If dlg.TextBox1 = "" Then @9yY`\"ed  
            A = 0           'Default accommodation p#['CqP8  
        Else Bismd21F6=  
            A = CDbl(dlg.TextBox1) zT;F4_p3G-  
        End If pDW4DF:`(  
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        If dlg.TextBox2 = "" Then 6pyLb3[e  
            pupilDiam = 4   'Default pupil diameter !3]}3jZ.  
        Else |7 .WP;1  
            pupilDiam = CDbl(dlg.TextBox2) ,yZvT7  
        End If KW&5&~)2  
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        Print " " \EP<r  
        Print "Accommodation = " & A & " Diopters" 51:NL[[6  
        Print "Pupil Diameter = " & pupilDiam & " mm" \\\%pBT7]\  
    {5<3./5O  
        ' Calculate new parameters with accommodation } v#Tm  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness sA( e  
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        Rant = 12.0 - 0.4*A                     'Radius of anterior lens &<Gs@UX~w  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens 8Ja't8  
    6rBXC <Z  
        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens (]*otVJ  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens u ##.t  
    e -sZ_<GH  
        tlens = 3.767 + 0.04*A                  'Lens thickness @@&([f  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction 9eA2v{!S  
    2m$\]\kCUv  
        'Adjust parameters to account for accommodation zUw=e}?:  
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        '************************************************************************* W{z7h[?5,  
        'Aqueous thickness (Position of Lens) lwY2zX&%)/  
        '************************************************************************* ^o`;C\  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) I-=H;6w7  
        GetCustomElement eID, entity "YUh4uZ~P  
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        parID = FindFullName( "Geometry.Arizona Eye" ) =3~u.iq$  
    #!a}ZhIt  
        ' Delete any shift(s) in z VR/*h%  
        count = 0 }ioHSkCD  
        While GetOperationCount(eID)>count h[%t7qo=  
            GetOperation eID, count, op ;@I4[4ph}  
            If op.Type="ShiftZ" Then I2U/ \  
                DeleteOperation eID,count z?9vbx  
                count=count-1 jJ(()EJ  
            End If {w,g~ew `  
            count=count+1 /hNZ7\|P  
        Wend ENmfbJ4d~  
    Sqt '}  
        'Set new shift in rKK{*%n  
        op.Type = "ShiftZ" B~[}E]WEK  
        op.val1 = taq 1Wz -Z  
        op.parent = parID Rds_Cd C  
        AddOperation eID, op 0N" VOEvG  
        Print "Set aqueous humor thickness = " & taq-0.55 nPAVrDg O  
    9_~[  
        '************************************************************************* >= G{.H  
        'Radius and conic constant of anterior lens -d|Q|zF^x  
        '************************************************************************* X4- _l$j  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) d[cqs9=\  
        GetConic eID, entity, curv, conic %fv;C  
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        SetConic eID, entity, 1/Rant, CCant C(RZ09,.S  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant @raw8w\Zj+  
    st|;] q9?  
        '************************************************************************* |oYqkP|  
        'Radius and conic constant of posterior lens e@Cv')]B  
        '************************************************************************* _8-iO.T+2  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) S 54N  
        GetConic eID, entity, curv, conic LF2@qvwD  
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        SetConic eID, entity, 1/Rpost, CCpost V>8)1)dF  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost Y,?!"  
    fV 6$YCf  
        '************************************************************************* LjE@[@d  
        'Lens thickness (Position of posterior lens surface) e58   
        '************************************************************************* {iz,iv/U  
    u]D>O$_ s  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) \R m2c8Z2  
    v#HaZT]u  
        ' Delete any z-shift(s) Awip qDAu  
        count = 0  H[cHF  
        While GetOperationCount(eID)>count M;14s*g  
            GetOperation eID, count, op mKsTA;  
            If op.Type="ShiftZ" Then a!_vd B  
                DeleteOperation eID,count "*ot:;I  
                count=count-1 *%{  
            End If HQpw2bdy  
            count=count+1 Qh 3V[br  
        Wend ` |L l  
    R(i2TAaaU  
        'Set new z-shift 0<,Q7onDD:  
        op.Type = "ShiftZ" pPC_ub  
        op.val1 = tlens 't3@dz_dG  
        op.parent = parID =nq9)4o  
        AddOperation eID, op R%(ww  
        Print "Set lens thickness = " & tlens n@hf{hA[a  
    _fVC\18T  
        '************************************************************************* S%+$  
        'Lens index of refraction 01/?  
        '************************************************************************* %XpYiW#AK  
        eID = FindMaterial( "Lens" ) (Wj2%*NT  
        GetModelMaterial eID, mat N@oNg}D&:  
    8Wa&&YTB  
        mat.Nd = nlens GN7\p)  
        SetModelMaterial eID, mat vlHE\%{  
        Print "Set lens index of refraction = " & nlens s+=JT+g  
    !7m )QNV  
        '************************************************************************* /7bIE!Cn  
        'Pupil diameter [P,/J$v^~  
        '************************************************************************* kpe7\nd=>  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) fnZaIV=H  
    #4?(A[]>H  
        'Adjust pupil diameter (trimming volume inner hole) eX+FtN  
    75O-%9lFF  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" |o:[*2-   
    _$W</8 <  
        ' Adjust pupil location to just in front of the lens 3\=iB&Gf|  
        parID = FindFullName( "Geometry.Arizona Eye" ) <])w@QOA#  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) AADvk_R  
        count = 0 2'R& K  
        While GetOperationCount(eID)>count "8bxb  
            GetOperation eID, count, op ]h Dy]  
            If op.Type="ShiftZ" Then c:a5pd7T  
                DeleteOperation eID,count Esc*+}ck  
                count=count-1 6Y#V;/gK!5  
            End If Is87 9_Z  
            count=count+1 ~7N>tjB  
        Wend D^ E+#a 1  
        op.Type = "ShiftZ" ,O9rL :?  
        op.val1 = taq-0.01 LPg1G+e  
        op.parent = parID jslfq@5v  
        AddOperation eID, op 5`ma#_zk|f  
    QQd%V#M?  
        Print "Set pupil diameter = " & pupilDiam [n53 eC  
    aS7[s6  
        'Update AZ Eye subassembly Description L @b8,  
        eID = FindFullName( "Geometry.Arizona Eye" ) .] S{T  
        GetEntity eID, entity bt$+l[U^J  
        entity.Description = "Accommodation = " & A & "D" STC'j1U  
        SetEntity eID, entity _` %z  
    rKP;T"?;  
        Update l )hg!(  
        Print "DONE!" w% Ug9  
         n ..9F$a  
    End Sub ..ig jc#UF  
    %H-(-v^T*  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: ~(TS>ck@  
    Qi_De '@  
    Accommodation = 4 Diopters b,?@_*qv+  
    Pupil Diameter = 4 mm H:~41f[  
    Set aqueous humor thickness = 2.81 (IbT5  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 uW.)(l  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 ^,Sl^ 9K  
    Set lens thickness = 3.927 =xs{Ov=  
    Set lens index of refraction = 1.42672 a;Nj'M~U  
    Set pupil diameter = 4 ,{@,dw`lUz  
    DONE! a\wpJ|3{=T  
     
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