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    [转载]FRED运用:Arizona眼睛模型 [复制链接]

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    离线xunjigd
     
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    只看楼主 倒序阅读 楼主  发表于: 2016-02-24
    简介 ]5$eAYq  
    人眼光学模型可用来设计眼科用设备,光学系统注定了要与人眼一起使用。本文演示了这样一个模型:Arizona眼睛模型,在Jim Schwiegerling教授的书中有详细描述:《Field Guide to Visual and Ophthalmic Optics》。AZ眼睛模型达到了基于平均临床数据所决定的轴上和轴外像差等级。FRED文件包含了此眼睛模型及几个用来分析它的光源,并包括一个基于想要的屈光度来调整模型的内嵌脚本。 0 Emr<n  
    Ie`13 L2  
    模型 )Ib<F 7v  
    3+G@g#MY  
    模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 Z]j*9#G1s  
    ]jaQ[g$F  
    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. u*tN)f3  
    5i1>I=N  
    光源 ' )?f{  
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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。 _;~,Cgfi  
    , 'ZD=4_  
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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。 -sjd&)~S[  
    ;ml)l~~YU  
    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。 -xDGH  
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    图2. 字母F光源的设定方法光 IuOgxm~Y  
    %QKRFPYhS  
    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 x7<\] 94  
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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。 OV%Q3$15  
    H N.3  
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    图4. 视网膜朗伯散射设定
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    注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 bV8!"{  
     k7>|q"0C  
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    图5. 视网膜重点采样规格设定
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    脚本 ld^=#]g  
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    内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: W0k0$\iX  
    |d*&y#kV  
    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。 DWID$w  
    余下的脚本计算与屈光度有关的所有参数。 OnF3lCmu  
    /qx0TDB  
    分析 v|Yh w  
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    屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 a_ `[Lj  
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    图7. 字母F在视网膜上颜色分析
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    脚本代码 59%tXiO  
    ) :\xHR4  
    Option Explicit     'Remove this to enable non-dimensioned variables to be used. {2+L @  
    PC[c/CoD  
    Dim entity As T_ENTITY +\|Iu;w  
    Dim op As T_OPERATION 2A\,-*pc  
    Dim mat As T_MODELMATERIAL QR Ei7@t  
    Dim A As Double qOUqs'7/]  
    Dim pupilDiam As Double -,+q#F  
    Dim eID As Long AN24Sf'`  
    Dim parID As Long :^fcC[$K  
    Dim count As Integer raCi 8  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double UY<e&Npo  
    Dim tlens As Double, nlens As Double C%U`"-%n@7  
    Dim curv As Double, conic As Double %^8^yZz  
    Dim ok As Long jWY$5Vq<H  
    Ma\Gb+>  
    Sub Main dpFVN[\oK  
    }Y*VAnY6;  
        '用户输入对话框 i-'9AYyw  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 #~=hn8  
            TextBox 220,21,40,21,.TextBox1 'default: 0 DZv=\<$,LF  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 #fL8Kq  
            OKButton 40,91,90,21 4mHvgnT!WA  
            CancelButton 190,91,90,21 .p=sBLp8  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 E-{^E.w1  
            TextBox 220,49,40,21,.TextBox2 'default: 4 -CR?<A4mud  
        End Dialog 8?i7U<CB  
        Dim dlg As UserDialog b L]erYm  
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        ok = Dialog (dlg) PmR~c,  
    Rt{B(L.?<  
        If ok=0 Then    'cancel button was pressed T`9u!#mT=  
            Print "Execution cancelled." z)xSN;x  
            End ?  BE6  
        End If 2PeR   
    :gB[O>'<m  
        'Assign accommodation and pupil diameter & use defaults if field left empty A)~X,  
        If dlg.TextBox1 = "" Then PI~1GyJr@;  
            A = 0           'Default accommodation Qq@G\eRo  
        Else d~?X/sJ t  
            A = CDbl(dlg.TextBox1) Pf$pt  
        End If W?We6.%  
    [tH-D$V  
        If dlg.TextBox2 = "" Then Kv rX{F=  
            pupilDiam = 4   'Default pupil diameter 3 AHY|  
        Else PT^c^{V  
            pupilDiam = CDbl(dlg.TextBox2) 8srBHslI  
        End If Khe!g1=&X  
    rx5B=M  
        Print " " /c$\X<b);  
        Print "Accommodation = " & A & " Diopters" $Y9jrR'w  
        Print "Pupil Diameter = " & pupilDiam & " mm" v @O&t4  
    )OLq_':^ @  
        ' Calculate new parameters with accommodation xESjM1A)  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness O0:)X)b  
    xEltwuDd?  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens 7nVRn9Hn  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens 37q@rDm2  
    6SC,;p=  
        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens K 9kUS  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens W>=o*{(YO  
    Y];Ycj;  
        tlens = 3.767 + 0.04*A                  'Lens thickness jV/CQM5a+  
    t9_E$w^U  
        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction bC^(U`y32  
    {Rear 2  
        'Adjust parameters to account for accommodation kwud?2E  
    pCu!l#J  
        '************************************************************************* $x#FgD(iI  
        'Aqueous thickness (Position of Lens) m$LVCB  
        '************************************************************************* -L3|&O_  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) XG@`ZJhU6  
        GetCustomElement eID, entity Nk;iiz+_p  
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        parID = FindFullName( "Geometry.Arizona Eye" ) ;+I/I9~  
    TS"D]Txs  
        ' Delete any shift(s) in z @[6,6:h|  
        count = 0 cDrebU  
        While GetOperationCount(eID)>count \@~UDP]7  
            GetOperation eID, count, op kL90&nP   
            If op.Type="ShiftZ" Then /:\3 \{?0m  
                DeleteOperation eID,count M|[ZpM+  
                count=count-1 =1oNZKBP  
            End If Pz_NDI  
            count=count+1 QR> Y%4 ;h  
        Wend W0zbxJKjd  
    d vOJW".  
        'Set new shift in d"U(`E=H9  
        op.Type = "ShiftZ" MDRe(rF=  
        op.val1 = taq  UkfB^hA  
        op.parent = parID _0pO8o-x  
        AddOperation eID, op k]rLjcB  
        Print "Set aqueous humor thickness = " & taq-0.55 .A1\J@b  
    Z?^"\u-  
        '************************************************************************* nW+YOX|+  
        'Radius and conic constant of anterior lens XjE>k!=I  
        '************************************************************************* #*c F8NV-  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) Y& ] 8 {  
        GetConic eID, entity, curv, conic Q0{z).&\(e  
    n(lk dw  
        SetConic eID, entity, 1/Rant, CCant =/+#PVO  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant ~"!a9GZ  
    3,);0@I  
        '************************************************************************* Ze!92g  
        'Radius and conic constant of posterior lens 8@M'[jT  
        '************************************************************************* m= b~i^@  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) C2<CWPn<  
        GetConic eID, entity, curv, conic @("}]/O V:  
    On1v<SD$[  
        SetConic eID, entity, 1/Rpost, CCpost )~rB}>^Z  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost `BnP[jF  
    n+D#k 8{  
        '************************************************************************* y1BgK>R  
        'Lens thickness (Position of posterior lens surface) 2D([Z-<i  
        '************************************************************************* DI&MC9j(   
    Sd:.KRTu.  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) c[0oh.  
    t]^_ l$  
        ' Delete any z-shift(s) ); 6,H.v  
        count = 0 _1jw=5^P\i  
        While GetOperationCount(eID)>count 1]\TI7/ n  
            GetOperation eID, count, op =V|Nn0E  
            If op.Type="ShiftZ" Then EX?h0Uy  
                DeleteOperation eID,count 5@XV6  
                count=count-1 *(*+`qZL{(  
            End If -{9Gagy2&  
            count=count+1 2[dIOb4b  
        Wend aQcN&UA@  
    $Kq<W{H3ut  
        'Set new z-shift yty` 2$O  
        op.Type = "ShiftZ" agaq`^[(P  
        op.val1 = tlens el'j&I  
        op.parent = parID Lm.`+W5  
        AddOperation eID, op 74zSP/G'  
        Print "Set lens thickness = " & tlens B#tdLv"I  
    D&*LBQ/K  
        '************************************************************************* BDpF }  
        'Lens index of refraction Z~3u:[x";  
        '************************************************************************* IM ad$AKc  
        eID = FindMaterial( "Lens" ) ygvzdYd  
        GetModelMaterial eID, mat p,n\__  
    3$"/>g/  
        mat.Nd = nlens _@E "7<\  
        SetModelMaterial eID, mat `)[dVfxA  
        Print "Set lens index of refraction = " & nlens 7Qh_8M  
    r]t )x*  
        '************************************************************************* 8Inx/>eOI  
        'Pupil diameter 3c u9[~K  
        '************************************************************************* )!C7bTv 4  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) g2'x#%ET  
    b|ZLX:  
        'Adjust pupil diameter (trimming volume inner hole) !"! i i$@  
    ek[kq[U9  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" } gkP  
    @\~tHJ?hQd  
        ' Adjust pupil location to just in front of the lens S\|^ULrH  
        parID = FindFullName( "Geometry.Arizona Eye" ) +t>XxYScx  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) 0VIZ=-e  
        count = 0 79z)C35~  
        While GetOperationCount(eID)>count +Pw,Nl\KD  
            GetOperation eID, count, op &r:m&?!|VQ  
            If op.Type="ShiftZ" Then k ]bPI$  
                DeleteOperation eID,count _>v0R'  
                count=count-1 $WNG07]tU  
            End If 2 `5=0E1k  
            count=count+1 1#D<ZN  
        Wend B+Q+0tw*i  
        op.Type = "ShiftZ" NQ!<f\m4n  
        op.val1 = taq-0.01 C*O ,rm}  
        op.parent = parID Y*\6o7  
        AddOperation eID, op 6To:T[ z#  
    taCCw2s-8*  
        Print "Set pupil diameter = " & pupilDiam ! IgoL&=  
    a)S(p1BGg  
        'Update AZ Eye subassembly Description i>"dBJh]b  
        eID = FindFullName( "Geometry.Arizona Eye" ) .\)k+ R  
        GetEntity eID, entity !2tw,QM  
        entity.Description = "Accommodation = " & A & "D" 3`rIV*&_{  
        SetEntity eID, entity HZuiVW8  
    &9@gm--b:  
        Update !u%9;>T7  
        Print "DONE!" bqjr0A7{  
         kdBV1E+:C  
    End Sub Wo2 v5-  
    }Eb]9c\  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: b=_{/F*b?  
    :;_#5  
    Accommodation = 4 Diopters 'g]=.K+@}  
    Pupil Diameter = 4 mm #Jv43L H  
    Set aqueous humor thickness = 2.81 Q!x`M4   
    Set anterior lens radius = 10.4 and conic constant = -2.375869 @%H8"A  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 JE9>8+  
    Set lens thickness = 3.927 QxA0I+i  
    Set lens index of refraction = 1.42672 '&)D>@g  
    Set pupil diameter = 4 = uk`pj  
    DONE! !Z-9tYO  
    55,=[  
    (文章来源:讯技光电)
     
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