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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 bH,Jddc  
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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。 m:"2I&0)WM  
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    模型 !p9BH6$`  
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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。 bUqO.FZ[  
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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. `rs1!ZJ,  
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    光源 B 1p9pr  
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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。 C8{CKrVE  
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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。 ivGxtx  
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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。 w{UU(  
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    图2. 字母F光源的设定方法光 Z1OcGRN!  
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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 _c #P  
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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。 o<!#1#n+:  
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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。 @yek6E&9  
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    图5. 视网膜重点采样规格设定
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    脚本 SD697L9  
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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: L' )(Zn1  
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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。 ph|3M<q6  
    余下的脚本计算与屈光度有关的所有参数。 0 Q1}u@G  
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    分析 Q.8Jgel1  
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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。 OrRve$U*|  
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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 p~e6ah?1  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. ?pVODnP k  
    !AMPA*  
    Dim entity As T_ENTITY _mO\Nw0  
    Dim op As T_OPERATION #G\)ZheG  
    Dim mat As T_MODELMATERIAL gReaFnm  
    Dim A As Double iE&`F hf?  
    Dim pupilDiam As Double BzgDhDj  
    Dim eID As Long 8p!PR^OM@  
    Dim parID As Long 8m6L\Z&  
    Dim count As Integer h.8J6;36  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double 9PGSr4V 1  
    Dim tlens As Double, nlens As Double #ob">R  
    Dim curv As Double, conic As Double .lE"N1  
    Dim ok As Long ~o8$/%Oeb/  
    8,H  
    Sub Main [` i;gx[^  
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        '用户输入对话框 eH6#'M4+\  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 c8u&ev.U  
            TextBox 220,21,40,21,.TextBox1 'default: 0 +XIN-8  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 b. t]p  
            OKButton 40,91,90,21 uS&bfx2  
            CancelButton 190,91,90,21 zz$*upxK  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 V1Fdt+#  
            TextBox 220,49,40,21,.TextBox2 'default: 4 Q"(i  
        End Dialog !u=[/>  
        Dim dlg As UserDialog [NuayO3  
    ;=E3f^'s  
        ok = Dialog (dlg) GCIm_ n  
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        If ok=0 Then    'cancel button was pressed {j(,Q qB;f  
            Print "Execution cancelled." "%sW/ph  
            End $w65/  
        End If x JepDCUJ>  
    /]vg_&)=  
        'Assign accommodation and pupil diameter & use defaults if field left empty mH8"k+k  
        If dlg.TextBox1 = "" Then {0[qERj"z  
            A = 0           'Default accommodation 7.]xcJmt>'  
        Else xo]|m\#k5E  
            A = CDbl(dlg.TextBox1) W"~G]a+  
        End If }F\0Bl&  
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        If dlg.TextBox2 = "" Then gsZCWT  
            pupilDiam = 4   'Default pupil diameter 'g$|:bw/  
        Else '\\J95*`  
            pupilDiam = CDbl(dlg.TextBox2) _p90Zm-3X  
        End If ,qC_[PUT  
    BG=h1ybz  
        Print " " Dn9Ta}miTO  
        Print "Accommodation = " & A & " Diopters" 3s$m0  
        Print "Pupil Diameter = " & pupilDiam & " mm" oS]XE!^M  
    gB&'MA!  
        ' Calculate new parameters with accommodation iJ#sg+  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness +nZx{d,wt  
    2"2b\b}my  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens CjD2FnjT  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens 9GCxF`OB  
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        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens /#.6IV(  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens kELV]iWb  
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        tlens = 3.767 + 0.04*A                  'Lens thickness ]ul]L R%.  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction &a7KdGP8V  
    +A/n <VH  
        'Adjust parameters to account for accommodation 3"cAwU9  
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        '************************************************************************* U@i+XZc"S  
        'Aqueous thickness (Position of Lens) rq+E"Uj?  
        '************************************************************************* gzi~ BJ  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) <w 8*Ly:L  
        GetCustomElement eID, entity r"k\G\,%  
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        parID = FindFullName( "Geometry.Arizona Eye" ) mKn:EqA  
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        ' Delete any shift(s) in z -3F|)qwK  
        count = 0 X 5pp8~  
        While GetOperationCount(eID)>count Q]66v$  
            GetOperation eID, count, op )ASI 41  
            If op.Type="ShiftZ" Then c:4 i&|n  
                DeleteOperation eID,count IhY[c/ |i  
                count=count-1 U^:+J-z{  
            End If @G^ l`%  
            count=count+1 7H9&\ur9+  
        Wend qVE6ROSh  
    uq{w1O5  
        'Set new shift in jDOB (fE  
        op.Type = "ShiftZ" wwk=*X-8  
        op.val1 = taq [gx6e 44  
        op.parent = parID R$_#7>3  
        AddOperation eID, op 9qIjs$g  
        Print "Set aqueous humor thickness = " & taq-0.55 &n91f  
    eM{,B  
        '************************************************************************* ~X)Aw 3}F  
        'Radius and conic constant of anterior lens 'z>|N{-xG  
        '************************************************************************* e@w-4G(;  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) !S$LRm\ '  
        GetConic eID, entity, curv, conic Jvgx+{Xu  
    DTH;d-Z  
        SetConic eID, entity, 1/Rant, CCant 7CWz)LT  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant <$qe2Ft Uq  
    ?45bvkCT  
        '************************************************************************* H0LEK(K  
        'Radius and conic constant of posterior lens ,l1A]Wx  
        '************************************************************************* }f?$QSF  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) sZxf.  
        GetConic eID, entity, curv, conic h3[^uY e  
    :Z3Tyj}4  
        SetConic eID, entity, 1/Rpost, CCpost Xy5#wDRC  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost N7=lSBm  
    tHgu#k0  
        '*************************************************************************  _xjw:  
        'Lens thickness (Position of posterior lens surface) (_Ph{IN  
        '************************************************************************* A]c'`Nf  
    DI"KH)XD  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) Y HSdaocp  
    mu@He&w"  
        ' Delete any z-shift(s) Utd`T+AF*  
        count = 0 ~ HN  
        While GetOperationCount(eID)>count $F2 A  
            GetOperation eID, count, op 4L)#ku$jW  
            If op.Type="ShiftZ" Then ;&RBg+Pr  
                DeleteOperation eID,count Ymt.>8L  
                count=count-1 }M7{~ov#s  
            End If 3)cH\gsg9  
            count=count+1 (JenTL`%u  
        Wend @ LPs.e  
    m~c6b{F3Z-  
        'Set new z-shift "{>BP$Jz  
        op.Type = "ShiftZ" a=@]Ov/  
        op.val1 = tlens  -]n\|U<  
        op.parent = parID )09>#!*  
        AddOperation eID, op uW;[FTcqy$  
        Print "Set lens thickness = " & tlens %'+}-w  
    N(c`h  
        '************************************************************************* :O)\+s-  
        'Lens index of refraction O2N7qV3 U,  
        '************************************************************************* w eX%S&#?  
        eID = FindMaterial( "Lens" ) {+Zj}3o  
        GetModelMaterial eID, mat Z#uxa  
    )IBvm1  
        mat.Nd = nlens <<WqL?8W  
        SetModelMaterial eID, mat =2XAQiUR\  
        Print "Set lens index of refraction = " & nlens )@(IhU )  
    W=G8l%  
        '************************************************************************* }jdMo83  
        'Pupil diameter W?TvdeBx  
        '************************************************************************* 1#tFO  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) 88uoA6Y8h  
    fbg:rH\_  
        'Adjust pupil diameter (trimming volume inner hole) kLE("I:7  
    uE &/:+  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" pf% yEz  
    /M2U7^9``"  
        ' Adjust pupil location to just in front of the lens FHbyL\Q  
        parID = FindFullName( "Geometry.Arizona Eye" ) 2^w8J w9  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) `_"loPu  
        count = 0 xyzYY}PS  
        While GetOperationCount(eID)>count V*6o|#  
            GetOperation eID, count, op {e!3|&AX  
            If op.Type="ShiftZ" Then yOTC>?p%  
                DeleteOperation eID,count L$t.$[~L  
                count=count-1 )Szn,  
            End If S\M+*:7  
            count=count+1 TTagZI$  
        Wend K0A[xkX6  
        op.Type = "ShiftZ" `;Od0uh  
        op.val1 = taq-0.01 zFi)R }Ot  
        op.parent = parID (&i c3/-  
        AddOperation eID, op X<sM4dwxE  
    FFtB#  
        Print "Set pupil diameter = " & pupilDiam 6w `.'5  
    7TtDI=f  
        'Update AZ Eye subassembly Description ]y9u5H^  
        eID = FindFullName( "Geometry.Arizona Eye" ) `T,^os#6  
        GetEntity eID, entity W"!{f  
        entity.Description = "Accommodation = " & A & "D" JA09 o(  
        SetEntity eID, entity &|fPskpy  
    7}L.(Jp9  
        Update bn:74,GeyK  
        Print "DONE!" <5!)5+G  
         O03N$ Jq A  
    End Sub L[voouaqm  
    RF}R~m9]  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: ujWC!*W(Q  
    SuA  @S  
    Accommodation = 4 Diopters S&F[\4w5]  
    Pupil Diameter = 4 mm Y41b8.|P+  
    Set aqueous humor thickness = 2.81 ]T=o>%  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 .I Io   
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 V'FKgzd  
    Set lens thickness = 3.927 #AH gY.  
    Set lens index of refraction = 1.42672 f5z*AeI  
    Set pupil diameter = 4 U!jRF  
    DONE! Mw`S.M. B  
     c?*x2Vk  
    w~~[0e+E  
    QQ:2987619807 BsR3$  
     
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