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    [技术]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: 2021-10-22
    简介 %QH "x`;  
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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。 7.@$D;L9  
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    模型 c]3% wL  
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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。 =g| e- XC  
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    Table 1. AZ眼睛模型的定义
    ~H"Q5Hr   
    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. /3`#ldb%}  
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    光源 l,5<g-r V  
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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。 {nTQc2T?;  
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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。 T;!7GW4E ?  
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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。 <5rs~  
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    图2. 字母F光源的设定方法光 J?4aSssE  
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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 `\!oY;jk  
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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。 6b& <5,=d:  
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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。 2E]SKpJ  
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    图5. 视网膜重点采样规格设定
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    脚本 pZ4]K xX@  
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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: `R:p-"'b  
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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。 n27df9L  
    余下的脚本计算与屈光度有关的所有参数。 ch2Qk8  
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    分析 eteq Mg}M  
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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。 0sxZa+G0o  
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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 yL =*yC  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. oy+``W~  
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    Dim entity As T_ENTITY 0XwDk$l<  
    Dim op As T_OPERATION &n:3n  
    Dim mat As T_MODELMATERIAL NyHHK8>  
    Dim A As Double iq s  
    Dim pupilDiam As Double 8)I,WWj  
    Dim eID As Long QiDf,$t|,  
    Dim parID As Long MDETAd  
    Dim count As Integer c*0pF=3  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double SCbN(OBN!  
    Dim tlens As Double, nlens As Double 8NY $Iw  
    Dim curv As Double, conic As Double ;Y:_}kN8_  
    Dim ok As Long  Co e q<  
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    Sub Main LR:Qb]|"  
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        '用户输入对话框 n<Vq@=9AE  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 '2`MT-  
            TextBox 220,21,40,21,.TextBox1 'default: 0 K(*QhKX  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 D$k<<dvv  
            OKButton 40,91,90,21 n,KOQI;  
            CancelButton 190,91,90,21 I'"b3]DXG  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 w h4WII  
            TextBox 220,49,40,21,.TextBox2 'default: 4 \5g7_3,3W  
        End Dialog uc6;%=%+  
        Dim dlg As UserDialog :]?y,e%xu,  
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        ok = Dialog (dlg) WJH)>4M#  
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        If ok=0 Then    'cancel button was pressed hAHZN^x&  
            Print "Execution cancelled." t\[aU\4-7  
            End gO C5  
        End If 1$cX` D`  
    qw]:oh&G  
        'Assign accommodation and pupil diameter & use defaults if field left empty 1PwqW g-\\  
        If dlg.TextBox1 = "" Then ppv/ A4Kv  
            A = 0           'Default accommodation eUiJl6^x  
        Else +qz"+g  
            A = CDbl(dlg.TextBox1) 9 C-!I,  
        End If >s\j/yM  
    ]k2Jf}|  
        If dlg.TextBox2 = "" Then hdFIriE3  
            pupilDiam = 4   'Default pupil diameter wd4wYk\  
        Else WM8 Ce0E  
            pupilDiam = CDbl(dlg.TextBox2) &<{=  
        End If yHvF"4]  
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        Print " " D@[Mk"f  
        Print "Accommodation = " & A & " Diopters" n}8J-/(|+  
        Print "Pupil Diameter = " & pupilDiam & " mm" y1DP`Ro  
    7 S^iGe  
        ' Calculate new parameters with accommodation zP\n<L5  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness fX)C8J^=G  
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        Rant = 12.0 - 0.4*A                     'Radius of anterior lens XqD/~_z;  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens &"bcI7uGT  
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        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens >BC?% |l  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens @=KuoIV  
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        tlens = 3.767 + 0.04*A                  'Lens thickness E;l|I A/7  
    -7_`6U2"  
        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction x"kc:F  
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        'Adjust parameters to account for accommodation RfP>V/jy5  
    {3RY4HVT?  
        '************************************************************************* R-Y|;  
        'Aqueous thickness (Position of Lens) rDNz<{evj  
        '************************************************************************* Wb!"L`m  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) "zSi9]j  
        GetCustomElement eID, entity y#\jc4F_a  
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        parID = FindFullName( "Geometry.Arizona Eye" ) /I2RU2|B  
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        ' Delete any shift(s) in z OoKzPePWji  
        count = 0 m>4jRr6sF  
        While GetOperationCount(eID)>count B~HA 32  
            GetOperation eID, count, op #NZ\UmA  
            If op.Type="ShiftZ" Then \79KU   
                DeleteOperation eID,count 2#z6=M~A  
                count=count-1 t#s?:  
            End If q'kZ3 G   
            count=count+1 _= RA-qZ"  
        Wend x\qS|q\N  
    nZ?BC O  
        'Set new shift in M{Ss?G4H  
        op.Type = "ShiftZ" ( yk^%  
        op.val1 = taq Yk',a$.S  
        op.parent = parID w,L PM+  
        AddOperation eID, op [n/'JeG5  
        Print "Set aqueous humor thickness = " & taq-0.55 )zK`*Fa az  
    b>|3?G  
        '************************************************************************* k%w5V>]1  
        'Radius and conic constant of anterior lens b&.j>=  
        '************************************************************************* sW)C6 #  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) ~.qzQ_O/  
        GetConic eID, entity, curv, conic Lq@pJ)a  
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        SetConic eID, entity, 1/Rant, CCant uWw4l"RK`  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant ajIgL<x  
    9g3J{pKcZ  
        '************************************************************************* (fON\)l  
        'Radius and conic constant of posterior lens T:+%3+;a  
        '************************************************************************* HA%% WSuf  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) mG[S"?C  
        GetConic eID, entity, curv, conic @vWC "W  
    *ayn<Vlh`^  
        SetConic eID, entity, 1/Rpost, CCpost M/GQQG;  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost J%']t$ AR  
    T1bPI/  
        '************************************************************************* H!U\;ny  
        'Lens thickness (Position of posterior lens surface) ]_NN,m>z  
        '************************************************************************* l1^/Q~u  
    }J}a;P4  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) iq$edq[  
    &.ZW1TxE8  
        ' Delete any z-shift(s) &wRdUIc  
        count = 0 ZN!OM)@:!  
        While GetOperationCount(eID)>count j""I,$t  
            GetOperation eID, count, op P<b.;Oz__-  
            If op.Type="ShiftZ" Then l!f/0Rx5  
                DeleteOperation eID,count $3BCA)5:  
                count=count-1 =ECw'  
            End If ;=X6pK  
            count=count+1 Vm.&JVb  
        Wend j:D@X=|  
    y'?|#%D  
        'Set new z-shift IuDg-M[  
        op.Type = "ShiftZ" 5T,Doxo  
        op.val1 = tlens P;[5#-e  
        op.parent = parID {GDMix  
        AddOperation eID, op )@.bkzW  
        Print "Set lens thickness = " & tlens 9`}Wp2  
    U JG)-x  
        '************************************************************************* iMRb` \KH  
        'Lens index of refraction [^r0red  
        '************************************************************************* jR7 , b5  
        eID = FindMaterial( "Lens" ) Izq]nR  
        GetModelMaterial eID, mat rDkAeX0  
    vlCjh! x  
        mat.Nd = nlens HM%n`1ZU  
        SetModelMaterial eID, mat $2E n^  
        Print "Set lens index of refraction = " & nlens $|.x!sA  
    F\ !;}z  
        '************************************************************************* Q:Q) -|,  
        'Pupil diameter ~[XDK`B  
        '************************************************************************* ($*bwqp]}  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) Q&:% U  
    B e+'&+  
        'Adjust pupil diameter (trimming volume inner hole) @O+yxGA  
    I@P[}XS  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" "UVqkw,vt  
     r(pp =  
        ' Adjust pupil location to just in front of the lens 0-"ps]X  
        parID = FindFullName( "Geometry.Arizona Eye" ) B`OggdE  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) NGB%fJ  
        count = 0 v :]y#y  
        While GetOperationCount(eID)>count a?6 r4u0  
            GetOperation eID, count, op ]d?`3{h9LD  
            If op.Type="ShiftZ" Then :~loy'  
                DeleteOperation eID,count T/G1v;]  
                count=count-1 E :*!an  
            End If 8'J> @ uW  
            count=count+1 =zXpeo&|m  
        Wend FT73P0!8.  
        op.Type = "ShiftZ" +U&aK dQs  
        op.val1 = taq-0.01 <lZyUd  
        op.parent = parID (:E_m|00;  
        AddOperation eID, op e:{v.C0ez  
    \1D~4Gz6}  
        Print "Set pupil diameter = " & pupilDiam  Py\xN  
    E&V"z^qs_  
        'Update AZ Eye subassembly Description 2D`@$)KL  
        eID = FindFullName( "Geometry.Arizona Eye" ) SQ5SvYH  
        GetEntity eID, entity @PuJre4!;L  
        entity.Description = "Accommodation = " & A & "D" RL |.y~  
        SetEntity eID, entity )0`;leli  
    6NJ"ty9Bp  
        Update qC?J`   
        Print "DONE!" W3* BdpTw  
         7a0ZI  
    End Sub [CBA Lj5  
     Z_F:H@-&  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: iZ#dS}VlJ  
    :bwdEni1P  
    Accommodation = 4 Diopters a#FkoA~M  
    Pupil Diameter = 4 mm E-_)w  
    Set aqueous humor thickness = 2.81 Da1BxbDeI  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 o%X_V!B{V  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 7CYu"+Ea  
    Set lens thickness = 3.927 R'qB-v.  
    Set lens index of refraction = 1.42672 %1SA!1>j  
    Set pupil diameter = 4 1i#uKKwE  
    DONE! NUiZ!&  
     
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