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    [分享]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: 2020-12-09
    简介 uHI(-!O  
     ?CAU+/  
    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。 'V7LL1K^>  
    -i8KJzPL f  
    模型 z&gma Ywq  
    FY'0?CT$  
    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。 J|BElBY  
    B2[f1IMI  
    Table 1. AZ眼睛模型的定义
    ]u5TvI,C  
    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. 6o^>q&e}%  
    yq-~5ui  
    光源 2?~nA2+vm  
    8@rYT5e3c  
    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。 R0=f`;  
    i%9vZ  
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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。 `Xos]L'w  
    T!H(Y4A  
    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。 |<c9ZS+  
    0ZjT.Ep  
    图2. 字母F光源的设定方法光 h*VDd3[#  
    &|XgWZS5  
    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 IMWt!#vuY  
    %"f85VfZ  
    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。 5b:1+5iF-  
    ZhY{,sy?QO  
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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。 M Z"V\6T]  
    Yd3lL:M  
    Bb=r?;zjO  
    图5. 视网膜重点采样规格设定
    MUl`0H"tR  
    脚本 ''9]`B,:a0  
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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: sc]#T)xG  
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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。 b*Qd9  
    余下的脚本计算与屈光度有关的所有参数。 |6Y:W$7k  
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    分析 C)U4Fr ?E:  
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    屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 "9xJ},:-  
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    图7. 字母F在视网膜上颜色分析
    ~a_hOKU5  
    脚本代码 Y)k"KRW+  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. JAHg_!  
    sN1H{W  
    Dim entity As T_ENTITY 2@MpWj4  
    Dim op As T_OPERATION Y A,. C4=s  
    Dim mat As T_MODELMATERIAL yr},pB  
    Dim A As Double ^!B]V>L-  
    Dim pupilDiam As Double 3YLK?X8  
    Dim eID As Long h1q 3}-  
    Dim parID As Long f1:>H.m`  
    Dim count As Integer oqvu8"  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double }m<+tn3m  
    Dim tlens As Double, nlens As Double p8 S~`fjV  
    Dim curv As Double, conic As Double x9F *$G  
    Dim ok As Long yreH/$Ou 8  
    (^~a1@f,J  
    Sub Main pbG-uH^  
    =EVB?k ,  
        '用户输入对话框 (tA[]ne2  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 U>kaQ54/  
            TextBox 220,21,40,21,.TextBox1 'default: 0 <&[`  +  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 ]A[}:E 5}  
            OKButton 40,91,90,21 .~I:Hcf/  
            CancelButton 190,91,90,21 Srw`vql{(  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 `}t5`:#k  
            TextBox 220,49,40,21,.TextBox2 'default: 4 (;g/wb:  
        End Dialog |m\7/&@<  
        Dim dlg As UserDialog kR1 12J9P  
    {KSLB8gtL  
        ok = Dialog (dlg) x(>XM:|  
    B[mZQ&Gz`a  
        If ok=0 Then    'cancel button was pressed 5q4wREh  
            Print "Execution cancelled." .Od@i$E>&  
            End <>KQ8:  
        End If u L v  
    L"0dB.  
        'Assign accommodation and pupil diameter & use defaults if field left empty lre(]oBXA  
        If dlg.TextBox1 = "" Then nEUH;z  
            A = 0           'Default accommodation 0Bgj.?l  
        Else 6 [bQ'Ir^8  
            A = CDbl(dlg.TextBox1) |9i[*]  
        End If !gyW15z'  
    6a9:P@tY  
        If dlg.TextBox2 = "" Then `!X8Cn  
            pupilDiam = 4   'Default pupil diameter @ebY_*  
        Else >G1]#'6;  
            pupilDiam = CDbl(dlg.TextBox2) r+Sv(KS4i^  
        End If 0 {d)f1  
    ymrnu-p o  
        Print " " DQObHB8L  
        Print "Accommodation = " & A & " Diopters" xGOmvn^lQ  
        Print "Pupil Diameter = " & pupilDiam & " mm" DQ$m@_/4w  
    ~2[kCuu  
        ' Calculate new parameters with accommodation ??Urm[Y.Z  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness \Dr( /n  
    v\(6uej^  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens Q-iBK*-w  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens c;KMox/  
    Wt5pK[JV  
        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens gr!!pp;  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens 9h+T O_T@F  
    ?W dY{;&  
        tlens = 3.767 + 0.04*A                  'Lens thickness M!hD`5.3  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction #3>jgluM'  
    modem6#x'  
        'Adjust parameters to account for accommodation *k&V;?x|wt  
    U$@}!X  
        '************************************************************************* nql{k/6  
        'Aqueous thickness (Position of Lens) 6*1f -IbV  
        '************************************************************************* ( ?e Et&  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) ,<7HLV  
        GetCustomElement eID, entity #xR=U"  
    mDt!b6N/  
        parID = FindFullName( "Geometry.Arizona Eye" ) =^zGn+@z  
    $qpW?<>,0  
        ' Delete any shift(s) in z hBz>E 4mEv  
        count = 0 W3('1  
        While GetOperationCount(eID)>count Bs '=YK$  
            GetOperation eID, count, op J}-e9vK-#  
            If op.Type="ShiftZ" Then o=zl{tZV  
                DeleteOperation eID,count 4j,6t|T  
                count=count-1 ifl LY7j  
            End If %b h: c5  
            count=count+1 av'[k<  
        Wend -:!Wds  
    ~USyN'5lU7  
        'Set new shift in S%?%06$  
        op.Type = "ShiftZ" J`; 9Z  
        op.val1 = taq (bpxj3@R  
        op.parent = parID mU[  
        AddOperation eID, op $E8}||d  
        Print "Set aqueous humor thickness = " & taq-0.55 J}bLp Z  
    U.Z5;E0:  
        '************************************************************************* tr A ^JY  
        'Radius and conic constant of anterior lens oFzmH!&ED  
        '************************************************************************* ?{L'd  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) 2H] 7=j  
        GetConic eID, entity, curv, conic ,l,q;]C%  
    EKuLt*a/  
        SetConic eID, entity, 1/Rant, CCant ym` 4v5w  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant qx0F*EH|  
    SpIiMu(  
        '************************************************************************* AYsHA w   
        'Radius and conic constant of posterior lens g^#,!e  
        '************************************************************************* #N"QTD|i  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) O"X7 DgbC  
        GetConic eID, entity, curv, conic pFBK'NE  
    E KJ2P$  
        SetConic eID, entity, 1/Rpost, CCpost [_KOU2  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost XKOPW/  
    K|D1  
        '************************************************************************* fU.z_ T[@  
        'Lens thickness (Position of posterior lens surface) 2PNe~9)*#  
        '************************************************************************* $ \!OO)  
    6 !Mm")  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) #*S.26P^4  
    Qip@L WvT  
        ' Delete any z-shift(s) bx-:aC)]2  
        count = 0 lG[j,MDs  
        While GetOperationCount(eID)>count "d0D8B7HI@  
            GetOperation eID, count, op o>]z~^c  
            If op.Type="ShiftZ" Then `0+-:sXZ6  
                DeleteOperation eID,count +'VYqu/  
                count=count-1 L@?3E`4/v  
            End If wT,=C'  
            count=count+1 s._,IW;   
        Wend 4~;M\h  
    V he$vH  
        'Set new z-shift ]1[:fQF7/L  
        op.Type = "ShiftZ" ]{t!J^Xn  
        op.val1 = tlens :+?r nb)N  
        op.parent = parID /* "pylm  
        AddOperation eID, op {=U*!`D  
        Print "Set lens thickness = " & tlens fMM%,/b{  
    PH^Gjm  
        '************************************************************************* }Q6o#oZ  
        'Lens index of refraction : Hu {MN\  
        '************************************************************************* #D ]CuSi  
        eID = FindMaterial( "Lens" ) )tS;gn  
        GetModelMaterial eID, mat Ef@Et(f_mQ  
    >4+KEK  
        mat.Nd = nlens o?IrDQ2gmh  
        SetModelMaterial eID, mat )4 ,U  
        Print "Set lens index of refraction = " & nlens I_R6 M1  
    5-&"nn2*}1  
        '************************************************************************* x2OAkkH\]i  
        'Pupil diameter rrphOG  
        '************************************************************************* m GJRCK_  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) {/,AMJ<:G]  
    2,|;qFJY-@  
        'Adjust pupil diameter (trimming volume inner hole) )$d~HA@B  
    @a 7U0$,O#  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" zXbA$c  
    AYp~;@  
        ' Adjust pupil location to just in front of the lens P>`|.@  
        parID = FindFullName( "Geometry.Arizona Eye" ) ovi^bNQ  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) !?|xeQ}  
        count = 0 @Q;s[Kg{!  
        While GetOperationCount(eID)>count m4'jTC$  
            GetOperation eID, count, op 6V#EEb  
            If op.Type="ShiftZ" Then (I35i!F+tY  
                DeleteOperation eID,count {:Kr't<XzF  
                count=count-1 #k)t.P Q  
            End If NBLjBa%eL  
            count=count+1 A<(DYd1H  
        Wend &H+n0v  
        op.Type = "ShiftZ" B$ho g_=s  
        op.val1 = taq-0.01 &rl;+QS  
        op.parent = parID #~.RJ%  
        AddOperation eID, op U;!J(Us  
    +F2X2e)g"  
        Print "Set pupil diameter = " & pupilDiam #5{BxX&\  
    L1y71+iqU  
        'Update AZ Eye subassembly Description "{Y6.)x  
        eID = FindFullName( "Geometry.Arizona Eye" ) _c5*9')-)  
        GetEntity eID, entity ,@Kn@%?$  
        entity.Description = "Accommodation = " & A & "D" /?Mr2!3N  
        SetEntity eID, entity $q .}eb0  
    g=,}j]tl  
        Update 9b@yDq3hQ  
        Print "DONE!" ;BKU _}k=  
         B<a` o&?  
    End Sub 8lA,3'z  
    dep"$pys>  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: uv^x  
    JO90TP $  
    Accommodation = 4 Diopters k]`-Y E  
    Pupil Diameter = 4 mm 4%I[.dBnM  
    Set aqueous humor thickness = 2.81 >VX'`5r>uw  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 tCar:p4$  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 MX.?tN#F|H  
    Set lens thickness = 3.927 ErQ6a%~,  
    Set lens index of refraction = 1.42672 <iGW~COd  
    Set pupil diameter = 4 Wcm8,?*  
    DONE! ]0j_yX  
    L' bY,D(J>  
    f*9O39&|  
    QQ:2987619807 9.il1mAKg  
     
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