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    [技术]Arizona眼睛模型 [复制链接]

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    离线infotek
     
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    只看楼主 倒序阅读 楼主  发表于: 2021-10-22
    简介 bk=;=K  
    8q6Le{G  
    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。 u^^jt(j  
    .L1[Rv3  
    模型 h\Y~sm?!`  
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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。 #"TYk@whWf  
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    Table 1. AZ眼睛模型的定义
    bW/T}FN D  
    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. =Xid"$  
    9+<A7PM1T  
    光源 q2`mu4B  
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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。 L">jSZW[[  
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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。 ~X<$ l+5  
    -%>Tjo@B n  
    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。 dikX_ Q>D  
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    图2. 字母F光源的设定方法光 ,SdxIhL  
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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 x+%> 2qgj"  
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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。 Dh#5-Kf%  
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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。 gwB0/$!4"  
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    图5. 视网膜重点采样规格设定
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    脚本 f` -vnh^+  
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    内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: \oGU6h<  
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    图6. 用户对话框的创建与编辑
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    图7. 用户对话框编辑器
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    如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 B 'd@ms  
    余下的脚本计算与屈光度有关的所有参数。 4pcIH5)z  
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    分析 S @!z'$&  
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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。 `@6y Wb:X  
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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 ^ rO}'~(  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. ] ONmWo77o  
    [{`&a#Q  
    Dim entity As T_ENTITY O_ $zK  
    Dim op As T_OPERATION w'xPKO$bzR  
    Dim mat As T_MODELMATERIAL 4/S3hH  
    Dim A As Double DI-CC[  
    Dim pupilDiam As Double HG5E,^1n  
    Dim eID As Long g*4^HbVxt  
    Dim parID As Long 81I9xqvSd~  
    Dim count As Integer \l5G   
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double X6r<#n|l  
    Dim tlens As Double, nlens As Double G-vkkNj%e  
    Dim curv As Double, conic As Double g~=- ,j|  
    Dim ok As Long j/ARTaO1]"  
    aE:$ N#|Qa  
    Sub Main (v}l#M7w  
    6HVX4Z#VH  
        '用户输入对话框 ,K&L/*  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 v.,D,6qZ  
            TextBox 220,21,40,21,.TextBox1 'default: 0 \vL{f;2J  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 &RHx8zScP  
            OKButton 40,91,90,21 zE}ry!{  
            CancelButton 190,91,90,21 }^odUIj  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 9r8bSV3`  
            TextBox 220,49,40,21,.TextBox2 'default: 4 6s! =de  
        End Dialog A*]sN8  
        Dim dlg As UserDialog ojIGfQV  
    `'bu8JK  
        ok = Dialog (dlg) <hgfgk7<  
    o6 :]Hvqjr  
        If ok=0 Then    'cancel button was pressed "p>kiNu  
            Print "Execution cancelled." uF D  
            End hb)83mH}  
        End If rZ RTQ  
    h}oV)z6  
        'Assign accommodation and pupil diameter & use defaults if field left empty iE ,"YCK  
        If dlg.TextBox1 = "" Then 99~-TiU  
            A = 0           'Default accommodation ,v9*|>4  
        Else g- INhzMu  
            A = CDbl(dlg.TextBox1) qUQP.4Z95  
        End If  6\QsK96_  
    +' .o  
        If dlg.TextBox2 = "" Then eFQz G+/  
            pupilDiam = 4   'Default pupil diameter wu} Zu  
        Else AC?a:{ ./  
            pupilDiam = CDbl(dlg.TextBox2) j#H&~f  
        End If Y)AHM0;g  
    *44E'Dxv  
        Print " " [F,s=,S'M  
        Print "Accommodation = " & A & " Diopters" E@Yq2FBpnn  
        Print "Pupil Diameter = " & pupilDiam & " mm" 'f7s*VKG  
    &?9~e>.OS  
        ' Calculate new parameters with accommodation EPEn"{;U  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness `2G%&R,k"D  
    ?y~"\iP  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens fQ2U |  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens &w^:nVgl  
    0(A&m ,  
        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens nc#} \  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens pEG!j ~  
    _=I&zUF  
        tlens = 3.767 + 0.04*A                  'Lens thickness xl(R|D))  
    z{U^j:A  
        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction S$GWY^5}{  
    <$ ` ^  
        'Adjust parameters to account for accommodation /jn0Xh  
    };>~P%u32  
        '************************************************************************* ~8lB#NuN  
        'Aqueous thickness (Position of Lens) t8~isuiK  
        '************************************************************************* hx}X=7w  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) 0P4g6t}e  
        GetCustomElement eID, entity 6eK7Jv\K  
    h,i=Y+1  
        parID = FindFullName( "Geometry.Arizona Eye" ) lMjeq.5nP  
    o-<.8Z}>at  
        ' Delete any shift(s) in z gt(!I^LHYc  
        count = 0 A4TW`g_zm  
        While GetOperationCount(eID)>count >ZnnGX6$(  
            GetOperation eID, count, op #sf1,k5'  
            If op.Type="ShiftZ" Then BIjkW.uf  
                DeleteOperation eID,count FBA th !E  
                count=count-1 "Q1oSpF  
            End If /+?eSgM/  
            count=count+1 GrM`\MIO  
        Wend S@WT;Q2Z  
    p{O@ts:  
        'Set new shift in Ap<j;s4`  
        op.Type = "ShiftZ" *V@t]d$=#  
        op.val1 = taq %Lfy!]Ru  
        op.parent = parID @`rC2-V  
        AddOperation eID, op mFuHZ)iQG  
        Print "Set aqueous humor thickness = " & taq-0.55 ?; tz  
    |k/;1.b!9(  
        '************************************************************************* -N1X=4/fg  
        'Radius and conic constant of anterior lens ,y[w`Q\  
        '************************************************************************* O _^Y*!  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) eOUEhpE  
        GetConic eID, entity, curv, conic qfgw^2aUa  
    >u?a#5R:m  
        SetConic eID, entity, 1/Rant, CCant U %aDkC+M  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant j k/-7/r  
    V`"Cd?R0Z  
        '************************************************************************* i$XT Qr0K=  
        'Radius and conic constant of posterior lens b'(Hwc\ t  
        '************************************************************************* `s_k+ g  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) c/-PEsk_TP  
        GetConic eID, entity, curv, conic 1,pPLc(  
    qGECw#  
        SetConic eID, entity, 1/Rpost, CCpost 6=jL2cqx  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost Lz`_&&6  
    B3&ETi5NTU  
        '************************************************************************* (iu IeJ^Z  
        'Lens thickness (Position of posterior lens surface) ,TQ;DxB}=E  
        '************************************************************************* A=BT2j'l)  
    -;&-b>b  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) }_9yemP  
    x UTlM  
        ' Delete any z-shift(s) VI8/@A1Gv  
        count = 0 .;%`I  
        While GetOperationCount(eID)>count E5t /-4  
            GetOperation eID, count, op *30T$_PiX|  
            If op.Type="ShiftZ" Then 2%~+c|TH.)  
                DeleteOperation eID,count wRe2sjM  
                count=count-1 JYa3xeC;  
            End If d+&w7/F  
            count=count+1 (bGk=q=M  
        Wend WTu1t]  
    y6gaoj  
        'Set new z-shift eZmwF@  
        op.Type = "ShiftZ" r.v.y[u  
        op.val1 = tlens 3F{R$M}  
        op.parent = parID >$;,1N $bd  
        AddOperation eID, op 9]^NAlno  
        Print "Set lens thickness = " & tlens D]+@pK b  
    X="]q|Z  
        '************************************************************************* v)LSH;<  
        'Lens index of refraction Q `z2SYz>  
        '************************************************************************* ~f?brQ?  
        eID = FindMaterial( "Lens" ) <l$ vnq  
        GetModelMaterial eID, mat w,;ox2  
    5ih5=qX  
        mat.Nd = nlens QTjnXg?Ri  
        SetModelMaterial eID, mat 9Q&]5| x  
        Print "Set lens index of refraction = " & nlens /Ca M(^W   
    K,@} 'N  
        '************************************************************************* \}; 4rm}V  
        'Pupil diameter ;H"OZRQ  
        '************************************************************************* \N)!]jq  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) 9oj0X>| 1  
    DfVSG1g  
        'Adjust pupil diameter (trimming volume inner hole) ]t_ Wl1*|  
    fs8C ^Ik>~  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" Fuo.8  
    }C5Fvy6uz  
        ' Adjust pupil location to just in front of the lens fTd":F  
        parID = FindFullName( "Geometry.Arizona Eye" ) HK`r9frn  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) Kj#h9e  
        count = 0 Eg$Er*)h8  
        While GetOperationCount(eID)>count /D;cm  
            GetOperation eID, count, op %WtF\p  
            If op.Type="ShiftZ" Then `i6q\-12n  
                DeleteOperation eID,count #QiNSS  
                count=count-1 &IkHP/  
            End If \d QRQL{LL  
            count=count+1 )?k~E=&o  
        Wend #kAk d-QY6  
        op.Type = "ShiftZ" bJFqyK:6  
        op.val1 = taq-0.01 gTg[!}_;\N  
        op.parent = parID 5 $. az  
        AddOperation eID, op K9S(Xip  
    JUTlJyx8  
        Print "Set pupil diameter = " & pupilDiam ^*WO*f>y  
    gX/?  
        'Update AZ Eye subassembly Description 0t)5KO  
        eID = FindFullName( "Geometry.Arizona Eye" ) j]6YLM@5$  
        GetEntity eID, entity z<8WN[fB  
        entity.Description = "Accommodation = " & A & "D" 10m`LG  
        SetEntity eID, entity CjLiLB  
    W(PNw2  
        Update [V41 Gk  
        Print "DONE!" *.+N?%sAP)  
         Qe]aI7Ei  
    End Sub 2.&%mSN  
    /rv=ml pRL  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: sh}eKwh  
    ccgV-'IG9  
    Accommodation = 4 Diopters lt#3&@<v  
    Pupil Diameter = 4 mm G[Jz(/yNH  
    Set aqueous humor thickness = 2.81 R5fZ }C7  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 _sF Ad`  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 cfPQcB>A  
    Set lens thickness = 3.927 r\m2Oo)]  
    Set lens index of refraction = 1.42672 HLl"=m1/>  
    Set pupil diameter = 4 g3\1 3<  
    DONE! # 0/,teJ k  
     
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