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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 T;92M}\  
    E2'Wzrovlo  
    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。 ik(Du/  
    TRGpE9i  
    模型 v`Jt+?I  
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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。 R.rc h2  
    %^@l5h.lqB  
    Table 1. AZ眼睛模型的定义
    ] zol?  
    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. d/7R}n^  
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    光源 FMVAXOO  
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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。 Ic2?1<IZA  
    ,a{85HLr]  
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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。 $xWwI( SaB  
    XPX?+W=mv  
    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。 ['IH*gi  
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    图2. 字母F光源的设定方法光 ?}KRAtJ8  
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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 B>fZH \Y  
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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。 MT-Tt  
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    s(=wG|   
    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。 ^O_Z5NbC3  
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    图5. 视网膜重点采样规格设定
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    脚本 q 6>eb  
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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: o]<Z3)  
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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。 ]{1{XIF  
    余下的脚本计算与屈光度有关的所有参数。 H>C bMz1u  
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    分析 p/ ITg  
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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。 iJzBd7  
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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 (DiduSJ  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. ' h7Faj  
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    Dim entity As T_ENTITY >jI.$%L$  
    Dim op As T_OPERATION 0fOhCxtL@  
    Dim mat As T_MODELMATERIAL l!tR<$|  
    Dim A As Double M6g8+sio  
    Dim pupilDiam As Double c2P}P* _  
    Dim eID As Long 4,)9@-|0R  
    Dim parID As Long CYaN;HV@_  
    Dim count As Integer ;xwcK-A  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double "/'3I/}  
    Dim tlens As Double, nlens As Double ?4b0\ -  
    Dim curv As Double, conic As Double XO <0;9|  
    Dim ok As Long OH t)z.  
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    Sub Main P6v ANL-B  
    QC+ Z6WS;  
        '用户输入对话框 )]P(!hW.  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 zy,SL |6:  
            TextBox 220,21,40,21,.TextBox1 'default: 0 a}UmD HS-  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 \|,| )  
            OKButton 40,91,90,21 ;C@mT;hR  
            CancelButton 190,91,90,21 PJ5}c!o[  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1  (Q8!5s  
            TextBox 220,49,40,21,.TextBox2 'default: 4 ;%e)t[5  
        End Dialog ?AyxRbk  
        Dim dlg As UserDialog ~IhM(Q*mO!  
    tj13!Cc}e`  
        ok = Dialog (dlg) DB|1Sqjsn  
    :H]d1  
        If ok=0 Then    'cancel button was pressed (ghI$oH  
            Print "Execution cancelled." -EiTP:A  
            End ]h S:0QE  
        End If *`H*@2  
    #~ x7G  
        'Assign accommodation and pupil diameter & use defaults if field left empty '[ #y|  
        If dlg.TextBox1 = "" Then uPfz'|,  
            A = 0           'Default accommodation /yI4;:/  
        Else O*~,L6# }  
            A = CDbl(dlg.TextBox1) Pxr/*X  
        End If qX@e+&4P0  
    d,^O[9UWo  
        If dlg.TextBox2 = "" Then cUR :a @  
            pupilDiam = 4   'Default pupil diameter ?#z$(upQ  
        Else *V2;ds.~  
            pupilDiam = CDbl(dlg.TextBox2) aj5HtP-  
        End If JQ%hh&M\0  
    kSz+UMC-7:  
        Print " " n6oOk nCna  
        Print "Accommodation = " & A & " Diopters" R #wZW&N  
        Print "Pupil Diameter = " & pupilDiam & " mm" \ptO4E  
    M/W"M9u  
        ' Calculate new parameters with accommodation " aG6u^%  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness }B-$}  
    "-&K!Vfs  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens u}%OC43  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens MH.+pqIv^  
    uRb48Qy2  
        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens 2_wue49-l  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens H,% bKl#  
    (%B{=w}8  
        tlens = 3.767 + 0.04*A                  'Lens thickness _pTcSp 3  
    :Qge1/  
        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction )gdeFA V  
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        'Adjust parameters to account for accommodation cp Ot?XYR~  
    u !BU^@P  
        '************************************************************************* Y+"1'W  
        'Aqueous thickness (Position of Lens) G=cRdiy`C  
        '************************************************************************* x {NBhq(4  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) .) Ej#mk  
        GetCustomElement eID, entity hQ|mow@Zmz  
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        parID = FindFullName( "Geometry.Arizona Eye" ) %tVU Rj  
    + +L7*1t  
        ' Delete any shift(s) in z "&={E{pQ  
        count = 0 DSLX/u o1  
        While GetOperationCount(eID)>count =p;cJ%#2]'  
            GetOperation eID, count, op |Y!^E % *  
            If op.Type="ShiftZ" Then d ~ M;  
                DeleteOperation eID,count )]fiyXA  
                count=count-1 *ak0(yLn)  
            End If ZD&F ,2v  
            count=count+1 RnH?95n?{  
        Wend L/u|90) L  
    d#T5=5 #  
        'Set new shift in No7-fX1B  
        op.Type = "ShiftZ"  R[m-jUL  
        op.val1 = taq ? $/::uo  
        op.parent = parID 7rdmj[vu  
        AddOperation eID, op %NkiYiA  
        Print "Set aqueous humor thickness = " & taq-0.55 )xcjQkb  
    ;T^s&/>E  
        '************************************************************************* $[X][[  
        'Radius and conic constant of anterior lens )|=1;L  
        '************************************************************************* ^ |MS2'  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) G u`xJ  
        GetConic eID, entity, curv, conic @K]`!=vUk  
    +<\LY(o  
        SetConic eID, entity, 1/Rant, CCant j55_wx@cA  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant yP]>eLTSd  
    f 6I)c$]Q  
        '************************************************************************* iM8Cw/DS  
        'Radius and conic constant of posterior lens {qw'gJmX  
        '************************************************************************* 8U@f/ P  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) ]+e zg(C}  
        GetConic eID, entity, curv, conic 9fX0?POG  
    ~m fG Yk"  
        SetConic eID, entity, 1/Rpost, CCpost Uc!k)o#=  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost zYaFbNi  
    .gy:Pl]w  
        '************************************************************************* P.Tnq  
        'Lens thickness (Position of posterior lens surface) &W>\Vl1  
        '************************************************************************* (*A@V%H  
    boiP_*|MY  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" )  (7X  
    {e&fBX6;  
        ' Delete any z-shift(s) h>V6}(~;.  
        count = 0 4]1/{</B|  
        While GetOperationCount(eID)>count KOg,V_(I  
            GetOperation eID, count, op -9 LvAV>  
            If op.Type="ShiftZ" Then _!2lnJ4+5  
                DeleteOperation eID,count %scw]oF  
                count=count-1 {U-z(0  
            End If ;C-ds  
            count=count+1 Ho(M O!(  
        Wend 6OE xAn8  
    |~A*?6:@  
        'Set new z-shift ;X+0,K3c  
        op.Type = "ShiftZ" ;^:8F  
        op.val1 = tlens GpPM?  
        op.parent = parID ds*gL ~k^  
        AddOperation eID, op 7s%D(;W_Mo  
        Print "Set lens thickness = " & tlens P:g!~&Q  
    q2#Ebw %]  
        '************************************************************************* npeL1zO-$  
        'Lens index of refraction Y1lUO[F j  
        '************************************************************************* 8@vq.z}  
        eID = FindMaterial( "Lens" ) 3q4VH q  
        GetModelMaterial eID, mat $l)RMP}  
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        mat.Nd = nlens :[l}Bb,  
        SetModelMaterial eID, mat <]?71{7X  
        Print "Set lens index of refraction = " & nlens @|\;#$?XW3  
    ty!DMg#  
        '************************************************************************* hg12NzbK  
        'Pupil diameter ]|F`;}7  
        '************************************************************************* mqeW,89  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) '[6]W)f  
    %o9mG<.T  
        'Adjust pupil diameter (trimming volume inner hole) &LM@xt4"^[  
    7r,GdP.  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" ]pNM~,  
    X,@nD@  
        ' Adjust pupil location to just in front of the lens At>e4t2@  
        parID = FindFullName( "Geometry.Arizona Eye" ) &5jc &CS  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) #}.{|'L  
        count = 0 2KXF XR  
        While GetOperationCount(eID)>count 4grV2xtX  
            GetOperation eID, count, op yq, qS0Fo  
            If op.Type="ShiftZ" Then 6&+dpr&c~=  
                DeleteOperation eID,count bZSt<cH3  
                count=count-1 >l}v _k*~B  
            End If {B=64,D^7R  
            count=count+1 oTk\r$4eb  
        Wend FXk*zXn6  
        op.Type = "ShiftZ" }#Up:o]A!  
        op.val1 = taq-0.01 E5gt_,j>  
        op.parent = parID B$c'^ )  
        AddOperation eID, op Bph(\= W  
    ?`vGpi~  
        Print "Set pupil diameter = " & pupilDiam s4 , `  
    ZLaht(`+  
        'Update AZ Eye subassembly Description xz:  
        eID = FindFullName( "Geometry.Arizona Eye" ) ;t N@  
        GetEntity eID, entity Lniz>gSc  
        entity.Description = "Accommodation = " & A & "D" WjVm{7?{  
        SetEntity eID, entity Ku6ndc  
    JWu0VLo  
        Update XwIHIG}  
        Print "DONE!" b7'A5]X  
         S41S+#7t*  
    End Sub 5:+x7Ed  
    ko!]vHB9`  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: <qoc)p=__  
    oeVI 6-_S  
    Accommodation = 4 Diopters 4 J9Y  
    Pupil Diameter = 4 mm BDL[C<d(  
    Set aqueous humor thickness = 2.81 %7[d5[U~ZA  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 1h]nE/T.O  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 4D.h~X4  
    Set lens thickness = 3.927 O~Jf"Ht  
    Set lens index of refraction = 1.42672 1jK2*y  
    Set pupil diameter = 4 4,`t9f^:  
    DONE! Hm 0;[i  
    4d`f?8vS  
    ;[C_ho  
    QQ:2987619807 BN`tiPNEp  
     
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