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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 @DYxxM-  
    K29]B~0%E  
    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。 mA:NAV $!s  
    [m7jZOEu  
    模型 $\>GQ~k  
    D T^3K5  
    模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 kd9rvy0oK  
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    Table 1. AZ眼睛模型的定义
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    在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. JFVal#  
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    光源 mc_`:I=  
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    多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 y?W8FL  
    |V{'W-` |[  
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    图1. 光源和提示信息使用
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    除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 -fu=RR  
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    在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 Ie>)U)/$  
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    图2. 字母F光源的设定方法光 w^09|k  
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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 ETe,RY  
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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。 'M2Jw8i  
    yjZxD[ 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。 d V#h~  
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    图5. 视网膜重点采样规格设定
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    脚本 l=%v  
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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: PNgj 8J4  
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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。 hp6S *d  
    余下的脚本计算与屈光度有关的所有参数。 gl-O"%rMcL  
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    分析 TGu`r>N51  
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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。 U}(*}Ut  
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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 qazM@  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. >[B[Q_})  
    c*ac9Y'o  
    Dim entity As T_ENTITY zuR!,-W  
    Dim op As T_OPERATION 5F$ elW  
    Dim mat As T_MODELMATERIAL GMRw+z4  
    Dim A As Double dN J2pfvv  
    Dim pupilDiam As Double ~=i9]%g ?  
    Dim eID As Long 5 rkIK  
    Dim parID As Long ?)k;.<6  
    Dim count As Integer 9.f/d4  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double W #E-vi+l  
    Dim tlens As Double, nlens As Double AjB-&Z  
    Dim curv As Double, conic As Double -L(F:  
    Dim ok As Long ZFh2v]|!  
    8@ck" LUzD  
    Sub Main !T02@e/  
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        '用户输入对话框 !},_,J~(|  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 m[,! orq  
            TextBox 220,21,40,21,.TextBox1 'default: 0  U=MFNp+  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 .<j\"X(  
            OKButton 40,91,90,21 {j.5!Nj]B  
            CancelButton 190,91,90,21 !8M]n  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 E9t[Mb %0  
            TextBox 220,49,40,21,.TextBox2 'default: 4 Gb.r!W8  
        End Dialog |T0jq  
        Dim dlg As UserDialog ^2}0lP|  
    .~qu,q7k~  
        ok = Dialog (dlg) X*6bsYbK-  
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        If ok=0 Then    'cancel button was pressed > !k  
            Print "Execution cancelled."  chW 1UE  
            End 3 4CqLPg8  
        End If sui3(wb  
    #Q}`kFB`  
        'Assign accommodation and pupil diameter & use defaults if field left empty `)$'1,]u  
        If dlg.TextBox1 = "" Then p =_K P9  
            A = 0           'Default accommodation  2bwf(  
        Else $TS4YaJ%  
            A = CDbl(dlg.TextBox1) VJ;4~WgBz  
        End If \?A 7{IY  
    nn!W-Bsqjh  
        If dlg.TextBox2 = "" Then FjD`bhw-  
            pupilDiam = 4   'Default pupil diameter Ub!MyXd{q  
        Else :clMO|  
            pupilDiam = CDbl(dlg.TextBox2) Xl^=&!S>me  
        End If jC7`_;>=  
    %_N-~zZ1E  
        Print " " NrPs :`  
        Print "Accommodation = " & A & " Diopters" T7_i: HU%  
        Print "Pupil Diameter = " & pupilDiam & " mm" V uZd  
    _Vr>/f  
        ' Calculate new parameters with accommodation &y"e|aE  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness R@Ch3l@  
    -E_lwK  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens +HvEiY  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens A]^RV{P  
    7:'7EqM  
        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens nS'hdeoW  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens CU'$JF  
    <]#'6'  
        tlens = 3.767 + 0.04*A                  'Lens thickness 60?/Z2w5  
    WBdC}S }3t  
        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction 7kJ =C  
    Obwj=_+upd  
        'Adjust parameters to account for accommodation x-0S-1M  
    &' E(  
        '************************************************************************* YJi C}.4Q  
        'Aqueous thickness (Position of Lens) <RQ\nU  
        '************************************************************************* Fy_D[g  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) uh#"4-v  
        GetCustomElement eID, entity SJ4[n.tPI  
    &0A^_Z .nA  
        parID = FindFullName( "Geometry.Arizona Eye" ) w+c%Y\:  
    _qwKFC  
        ' Delete any shift(s) in z n@IpO i$Q  
        count = 0 _)AX/%^%  
        While GetOperationCount(eID)>count @}sxA9 a  
            GetOperation eID, count, op ^]_[dqd  
            If op.Type="ShiftZ" Then e%_2n=p~)%  
                DeleteOperation eID,count wJ 0KI[p(S  
                count=count-1 #qqIOjS^w  
            End If z2:^Qg  
            count=count+1 F2jZ3[P  
        Wend hfzmv~*  
    aYc*v5Q N3  
        'Set new shift in >drG,v0qh  
        op.Type = "ShiftZ" .dqV fa  
        op.val1 = taq -L=aZPW`M  
        op.parent = parID #w_cos[I  
        AddOperation eID, op ?Ybgzb  
        Print "Set aqueous humor thickness = " & taq-0.55 GZ xG!r -  
    B.)!zv\{  
        '************************************************************************* 90ZMO7_  
        'Radius and conic constant of anterior lens w"?H4  
        '************************************************************************* `<}Q4p  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) X)P;UVR0  
        GetConic eID, entity, curv, conic n."vCP}O+  
    ;Ih:$"$!  
        SetConic eID, entity, 1/Rant, CCant Y|%s =0M  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant c;X8: Z=ja  
    J@$h'YUF  
        '************************************************************************* /Z':wu\  
        'Radius and conic constant of posterior lens "9Q @&C  
        '************************************************************************* 2/[J<c\G  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) 1< 22,  
        GetConic eID, entity, curv, conic >iE/t$%1  
    ]mO$Tg&s~  
        SetConic eID, entity, 1/Rpost, CCpost H?\b   
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost LU'<EXUbY  
    9 GEMmo3  
        '************************************************************************* r1vF/yt(  
        'Lens thickness (Position of posterior lens surface) -|Z[GN:  
        '************************************************************************* )w3?o#@  
    Y8$Y]2  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) b@6hGiqx  
    5W%^g_I  
        ' Delete any z-shift(s) q.xt%`@aA  
        count = 0 ^r4@C2#vzJ  
        While GetOperationCount(eID)>count H] i.\2z  
            GetOperation eID, count, op 2L\}  
            If op.Type="ShiftZ" Then qIXo_H&\C  
                DeleteOperation eID,count /#WRd}IjK  
                count=count-1 Q&Q$;s3|Y  
            End If L$T23*9XY  
            count=count+1 yiourR)H<  
        Wend F?APDGAN  
    I[P43>F3  
        'Set new z-shift 1W@ C]n4  
        op.Type = "ShiftZ" :9nqQJ+~  
        op.val1 = tlens  (TKn'2  
        op.parent = parID cJp:0'd  
        AddOperation eID, op NoSq:e  
        Print "Set lens thickness = " & tlens kfb*|  
    no~Yet+<"  
        '************************************************************************* YB;q5[  
        'Lens index of refraction WR5@S&fU`  
        '************************************************************************* /RWQ+Zf-Y]  
        eID = FindMaterial( "Lens" ) $C&y-Hnar  
        GetModelMaterial eID, mat ,}8|[)"  
    whoM$  &  
        mat.Nd = nlens =I(F(AE  
        SetModelMaterial eID, mat 9YMD[H\}V  
        Print "Set lens index of refraction = " & nlens CP5vo-/)-  
    \my5E\  
        '************************************************************************* oSAO0h>0N  
        'Pupil diameter NA=I7I@  
        '************************************************************************* VXfp=JE  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) `]u!4pP"  
    dq6|m }g{  
        'Adjust pupil diameter (trimming volume inner hole) +1uAzm4SL  
    ^/"[jq3F  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" bi01]  
    [wLK*9@&  
        ' Adjust pupil location to just in front of the lens >^fpQG  
        parID = FindFullName( "Geometry.Arizona Eye" ) 5*~]=(BE  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) s|cL mL[  
        count = 0 Xyz w.%4c  
        While GetOperationCount(eID)>count t9C.|6X  
            GetOperation eID, count, op ;$il_xA)\>  
            If op.Type="ShiftZ" Then _"4u?C#  
                DeleteOperation eID,count F]fBFDk  
                count=count-1 0Z11V9Jk  
            End If *_qLLJg  
            count=count+1 Z?@oe-mz  
        Wend M15jwR!:M  
        op.Type = "ShiftZ" i(hL6DLD  
        op.val1 = taq-0.01 Qp?+G~*  
        op.parent = parID jV)4+D  
        AddOperation eID, op $vC}Fq  
    3EVAB0/$  
        Print "Set pupil diameter = " & pupilDiam ;Z asK0  
    NKX,[o1  
        'Update AZ Eye subassembly Description 1:.I0x!  
        eID = FindFullName( "Geometry.Arizona Eye" ) m-wK8]t9  
        GetEntity eID, entity u`ezQvrcy  
        entity.Description = "Accommodation = " & A & "D" _ Vo35kA  
        SetEntity eID, entity ^!FLi7X  
    8AGP*"gI  
        Update *vqr+jr9  
        Print "DONE!" l(B(gPvU  
          l,lfkm  
    End Sub gfPR3%EXs  
    F<YXkG4 pO  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: F\Z|JCA  
    A,u}p rwH  
    Accommodation = 4 Diopters g> <*qd?t  
    Pupil Diameter = 4 mm X+$IaLfCxD  
    Set aqueous humor thickness = 2.81 5Z<y||=  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 9&O7F}VP2  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 .7`c(9<  
    Set lens thickness = 3.927 !k}]`z^d  
    Set lens index of refraction = 1.42672 Zr#\>h'c  
    Set pupil diameter = 4 qX%oLa  
    DONE! ^C|N  
    zHg1K,t:  
    m\DI6O"u'  
    QQ:2987619807 Mr}K-C?ge  
     
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