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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 ?Gw89r  
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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。 'Rw] C[  
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    模型 [&s:x ,  
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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。 ^i1:PlW]  
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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. =nZd"t'p|  
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    光源 6^u(PzlA|~  
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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。 Yk&{VXU<  
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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。 mj|9x1U)  
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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。 #_\~Vrf(#  
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    图2. 字母F光源的设定方法光  p ivS8C  
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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 h!GixN?  
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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。 RL9BB.  
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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。 KL`>mJo$  
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    图5. 视网膜重点采样规格设定
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    脚本 $g;xw?~#  
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    内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: k0?6.[ku  
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    图6. 用户对话框的创建与编辑
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    图7. 用户对话框编辑器
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    如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 DBDfB b  
    余下的脚本计算与屈光度有关的所有参数。 T7'$A!c  
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    分析 q(W@=-uDK  
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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。 N\$wpDI~  
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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 k#n=mm'N9  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. CG;D(AWR;  
    ?#m5$CFp  
    Dim entity As T_ENTITY {5JXg9um  
    Dim op As T_OPERATION Xv:IbM> Qc  
    Dim mat As T_MODELMATERIAL i|mA/ e3b  
    Dim A As Double 9n'p7(s%  
    Dim pupilDiam As Double k~ue^^r}  
    Dim eID As Long %Z4=3?5B"9  
    Dim parID As Long < r~Tj  
    Dim count As Integer !A o?bs'  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double !TF VBK  
    Dim tlens As Double, nlens As Double kn\>ZgU  
    Dim curv As Double, conic As Double (tvh9 o  
    Dim ok As Long S)%x22sqf  
    7SCI_8`  
    Sub Main sh1()vT  
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        '用户输入对话框 :*1w;>o)n  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 =F4}  
            TextBox 220,21,40,21,.TextBox1 'default: 0 Cn<x  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 Tx(R3B+u7  
            OKButton 40,91,90,21 9D,& )6  
            CancelButton 190,91,90,21 hj4Rr(T  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 b}:Z(L,\  
            TextBox 220,49,40,21,.TextBox2 'default: 4 |=POV]K  
        End Dialog ./d (@@  
        Dim dlg As UserDialog YaU A}0cW  
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        ok = Dialog (dlg) @w0[5ZAj  
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        If ok=0 Then    'cancel button was pressed 1yu!:8=ee  
            Print "Execution cancelled." L;"<8\vWB  
            End xph60T  
        End If \w3wh*  
    LsXYvX  
        'Assign accommodation and pupil diameter & use defaults if field left empty :$j~;)2  
        If dlg.TextBox1 = "" Then Gm. hBNgp  
            A = 0           'Default accommodation DKZ69^  
        Else ]^y}}y  
            A = CDbl(dlg.TextBox1) /Q!F/HY3ZS  
        End If nC rNZ&P  
    ( nh!tC  
        If dlg.TextBox2 = "" Then <T wq{kt  
            pupilDiam = 4   'Default pupil diameter zP9 !fA  
        Else P(`IY +  
            pupilDiam = CDbl(dlg.TextBox2) dY,'6 JzC  
        End If R|suBF3  
    'Khq!pC   
        Print " " D1f=f88/}  
        Print "Accommodation = " & A & " Diopters" 0`W~2ai  
        Print "Pupil Diameter = " & pupilDiam & " mm" )~`zjVx_  
    Ssj'1[%  
        ' Calculate new parameters with accommodation ^tv*I~>J!  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness ^{w&&+#,q  
    g@Zc'g/XB  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens 9YJb~tuZ73  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens )nY/ RO  
    <R2  
        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens Xk2  75Y  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens G 1$l%B  
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        tlens = 3.767 + 0.04*A                  'Lens thickness ?]t8$^m,;  
    tT7$2 9  
        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction 4Qd g t*  
    &[YG\8sxWa  
        'Adjust parameters to account for accommodation 7v-C-u[E`  
    6-3l6q  
        '************************************************************************* "rXGXQu  
        'Aqueous thickness (Position of Lens) c:0$ M w=  
        '************************************************************************* BWs\'B  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) % ;<FfS  
        GetCustomElement eID, entity {t 7 M  
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        parID = FindFullName( "Geometry.Arizona Eye" ) 8p FSm>  
    2d._X$fx7  
        ' Delete any shift(s) in z 7@sWT<P  
        count = 0 ;cO0Y.V9l  
        While GetOperationCount(eID)>count aQ)9<LsI  
            GetOperation eID, count, op #_E8>;)k  
            If op.Type="ShiftZ" Then _ReQQti[  
                DeleteOperation eID,count lY1m%  
                count=count-1 /nrDU*  
            End If IQM!dC  
            count=count+1 4nY2v['m0  
        Wend =3"Nn4Z  
    j.z#fU  
        'Set new shift in 6+It>mnR  
        op.Type = "ShiftZ" 1kpI?Plki  
        op.val1 = taq @ +7'0[y?  
        op.parent = parID %=]{~5f>  
        AddOperation eID, op 1t)6wk N  
        Print "Set aqueous humor thickness = " & taq-0.55 >$?Z&7Lv  
    rdK.*oT  
        '************************************************************************* EU+sTe>  
        'Radius and conic constant of anterior lens {>z.y1  
        '************************************************************************* u4S3NLG)  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) &8;mcM//4  
        GetConic eID, entity, curv, conic qg>i8V  
    3{%/1>+x5  
        SetConic eID, entity, 1/Rant, CCant 'g^]ZTxb  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant &pCKz[Yf+  
    ';1 c  
        '************************************************************************* I@hC$o  
        'Radius and conic constant of posterior lens aA:Ky&5e  
        '************************************************************************* HsO=%bb  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) F;zmq%rK  
        GetConic eID, entity, curv, conic l"cYW9  
    8^^al!0K~  
        SetConic eID, entity, 1/Rpost, CCpost !PO(Bfd  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost )QX9T  
    0{j>u`  
        '************************************************************************* `Q{kiy  
        'Lens thickness (Position of posterior lens surface) BjB2YO& /  
        '************************************************************************* DF|qNX  
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        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) iBZ+gsSP  
    'aCnj8B  
        ' Delete any z-shift(s) }x%"Oq|2]x  
        count = 0 c`iSe$eS  
        While GetOperationCount(eID)>count o$Jk2 7  
            GetOperation eID, count, op o?b"B+#  
            If op.Type="ShiftZ" Then #0mn_#-P)  
                DeleteOperation eID,count {!-w|&bF  
                count=count-1 [0 W^|=#K  
            End If ]$z~;\T  
            count=count+1 ^lQej%  
        Wend 4gYP .h:,  
    s#d>yx_b  
        'Set new z-shift :cOwTW?Fj  
        op.Type = "ShiftZ" 's e 9|:  
        op.val1 = tlens '- Z4GcL  
        op.parent = parID QZDGk4GG  
        AddOperation eID, op g'mkhF(  
        Print "Set lens thickness = " & tlens >8RIMW2  
    \TKv3N  
        '************************************************************************* N%^mR>.`  
        'Lens index of refraction >CYg\vas!  
        '************************************************************************* ok7DI  
        eID = FindMaterial( "Lens" ) R+^/(Ws'<  
        GetModelMaterial eID, mat @ #V31im"N  
    *{C)o0D  
        mat.Nd = nlens YN\ QwV  
        SetModelMaterial eID, mat oVLz7Y[JE  
        Print "Set lens index of refraction = " & nlens |o+vpy  
    5uu{f&?u)  
        '************************************************************************* /A_ IS`  
        'Pupil diameter GM@TWwG-B  
        '************************************************************************* 7C&`i}/t  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) ,x_g|J _Y  
    bjR&bIA:  
        'Adjust pupil diameter (trimming volume inner hole) -,Q<*)q{  
    I{M2nQi  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" F9d][ P@@  
    ~)()PO  
        ' Adjust pupil location to just in front of the lens YrB-;R 1+  
        parID = FindFullName( "Geometry.Arizona Eye" ) EK#w: "  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) d`^@/1tO  
        count = 0 0w OgQ n  
        While GetOperationCount(eID)>count J,E&Uz95%  
            GetOperation eID, count, op 'dBzv>ngD  
            If op.Type="ShiftZ" Then JhuK W>7  
                DeleteOperation eID,count #8[,w.X  
                count=count-1 d/7 c#er  
            End If ?lbX.+  
            count=count+1 #ReW#?P%b/  
        Wend #?aR,@n  
        op.Type = "ShiftZ" Q>X ;7nt0  
        op.val1 = taq-0.01 _msDf2e9  
        op.parent = parID +[z(N  
        AddOperation eID, op E{j6OX\  
    ]bRu8kn  
        Print "Set pupil diameter = " & pupilDiam u |#ruFR  
    U~7.aZHPx3  
        'Update AZ Eye subassembly Description m@jOIt!<  
        eID = FindFullName( "Geometry.Arizona Eye" ) lMP|$C  
        GetEntity eID, entity @ cv`}k  
        entity.Description = "Accommodation = " & A & "D" q.MM|;_u`  
        SetEntity eID, entity EQ7cK63  
    Ef7 Kx49I  
        Update QO|ODW+D  
        Print "DONE!" O" T1=4  
         I</Nmgf  
    End Sub w$2-t  
    }P^n /  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: fV[xv4D.  
    _&yQW&vH#  
    Accommodation = 4 Diopters M?]ObIM:5  
    Pupil Diameter = 4 mm  f0:)  
    Set aqueous humor thickness = 2.81 #Xsby  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 !hJ%{.  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 k 9s3@S  
    Set lens thickness = 3.927 ;M}bQ88  
    Set lens index of refraction = 1.42672 \QHM7C T  
    Set pupil diameter = 4 6g$+))g  
    DONE! Ot v{#bB$  
    0E++  
    i++ F&r[  
    QQ:2987619807 aIkxN&  
     
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