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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 d=3'?l`  
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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。 D'_Bz8H!p  
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    模型 pz|'l:v^  
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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。 _. V?A*  
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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. ^%>kO,  
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    光源 {b)~V3rsY  
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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。 S:bC[}  
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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。 }8K4-[\  
    +A8j@d#:  
    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。 =aG xg57  
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    图2. 字母F光源的设定方法光 BJ}D%nm}  
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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 Z|lU8`'5  
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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。 w'Tq3-%V  
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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。 )cJ#-M2  
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    图5. 视网膜重点采样规格设定
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    脚本 YIRZ+H<Q  
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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: X2sHE  
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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。 0|4%4 Mt  
    余下的脚本计算与屈光度有关的所有参数。 'dG%oDHX]P  
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    分析 <x pph t<  
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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。  uF|3/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 2&mGT&HAVA  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. Q#I"_G&{  
    IY'=DePd  
    Dim entity As T_ENTITY 3rW|kkn  
    Dim op As T_OPERATION \W5O&G-C  
    Dim mat As T_MODELMATERIAL ?Ea;J0V  
    Dim A As Double }_/Hdmmx  
    Dim pupilDiam As Double 3981ie  
    Dim eID As Long 7"F*u :  
    Dim parID As Long $ i)bq6  
    Dim count As Integer ]B"'}%>ez  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double F_iXd/  
    Dim tlens As Double, nlens As Double (/d5UIM{&  
    Dim curv As Double, conic As Double qU2~fNY  
    Dim ok As Long Xazo 9J  
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    Sub Main i$G;f^Z!Y  
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        '用户输入对话框 G'2#9<c*  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 >WJf=F`_H  
            TextBox 220,21,40,21,.TextBox1 'default: 0 <~ad:[  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 k(>h^  
            OKButton 40,91,90,21 _R'Fco  
            CancelButton 190,91,90,21 <9E0iz+j  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 Y?CCD4"qn  
            TextBox 220,49,40,21,.TextBox2 'default: 4 Amr[wx  
        End Dialog [Aj Q#;#Q  
        Dim dlg As UserDialog WG*t ::NN  
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        ok = Dialog (dlg) E#J';tUQ  
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        If ok=0 Then    'cancel button was pressed YBYZ=,"d  
            Print "Execution cancelled." KoE8 Mp  
            End n55Pv3}C  
        End If Tus}\0/i>  
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        'Assign accommodation and pupil diameter & use defaults if field left empty M;cO0UIwO  
        If dlg.TextBox1 = "" Then iHwLZ[O{  
            A = 0           'Default accommodation V@>r*7\F  
        Else 5>3}_  
            A = CDbl(dlg.TextBox1) $vHU$lZ/W  
        End If ?88[|;b3  
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        If dlg.TextBox2 = "" Then R>DaOH2K*  
            pupilDiam = 4   'Default pupil diameter WLF0US'  
        Else Nx{$}  
            pupilDiam = CDbl(dlg.TextBox2) 4h5g'!9-g  
        End If Z3>N<u8)  
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        Print " " xe7O/',pa=  
        Print "Accommodation = " & A & " Diopters" FX9F"42@  
        Print "Pupil Diameter = " & pupilDiam & " mm" CkJCi  
    ?9l [y  
        ' Calculate new parameters with accommodation :4~g;2oag  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness lb'GXd %  
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        Rant = 12.0 - 0.4*A                     'Radius of anterior lens 3qY K_M^[  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens %6AW7q t  
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        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens qB)"qFa  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens d,8mY/S>w  
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        tlens = 3.767 + 0.04*A                  'Lens thickness nz9DLAt  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction ;'81jbh  
    z4 &iK)x  
        'Adjust parameters to account for accommodation IbcZ@'RSw  
    }FzqW*4~  
        '************************************************************************* YF+n b.0.  
        'Aqueous thickness (Position of Lens) aM7uBx\8 5  
        '************************************************************************* Vy_2.  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) P&Pj>!T5  
        GetCustomElement eID, entity rr#K"SP  
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        parID = FindFullName( "Geometry.Arizona Eye" ) *3T| M@Y  
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        ' Delete any shift(s) in z o)OUWGjb/K  
        count = 0 hJzxbr <  
        While GetOperationCount(eID)>count LH:i| I  
            GetOperation eID, count, op >~K qg~  
            If op.Type="ShiftZ" Then oI^4pwnh  
                DeleteOperation eID,count Oy 2+b1{  
                count=count-1 tzy'G"P|  
            End If `/HUV&i"S  
            count=count+1 aZEn6*0B  
        Wend TYI7<-Mp:[  
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        'Set new shift in 0rGSH*(  
        op.Type = "ShiftZ" *D'$"@w3  
        op.val1 = taq C/(M"j M  
        op.parent = parID c)@>zto#  
        AddOperation eID, op S1/`th  
        Print "Set aqueous humor thickness = " & taq-0.55 _ Ro!"YVX  
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        '************************************************************************* VXR]"W=  
        'Radius and conic constant of anterior lens bFA!=uvA  
        '************************************************************************* ' oF xR003  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" )  BUwONF  
        GetConic eID, entity, curv, conic J)mh u}  
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        SetConic eID, entity, 1/Rant, CCant p-+K4  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant 6\61~u~  
    E9V 5$  
        '************************************************************************* EC|'l  
        'Radius and conic constant of posterior lens +:3*  
        '************************************************************************* "bDs2E+W  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) 6%Be36<  
        GetConic eID, entity, curv, conic O$IjN x  
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        SetConic eID, entity, 1/Rpost, CCpost Cuc$3l(%  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost /O ]t R  
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        '************************************************************************* hK<5KZ/4  
        'Lens thickness (Position of posterior lens surface) KRjV}\}  
        '************************************************************************* >AJSqgHQ,  
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        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) )]#aauC+  
    o!Rd ^  
        ' Delete any z-shift(s) W d0NT@  
        count = 0 c*UvYzDZL  
        While GetOperationCount(eID)>count m!U9m  
            GetOperation eID, count, op 0-{t FN  
            If op.Type="ShiftZ" Then -gQCn>"  
                DeleteOperation eID,count 4[r/}/iGo  
                count=count-1 85;b9k&\M  
            End If ]jpu,jz:  
            count=count+1 wp7!>% s{  
        Wend N?X~w <  
    \p%3vRwS%p  
        'Set new z-shift Ged[#Q  
        op.Type = "ShiftZ" JF/,K"J  
        op.val1 = tlens k<+0o))  
        op.parent = parID ^fz+41lE\  
        AddOperation eID, op hR5_+cuIp  
        Print "Set lens thickness = " & tlens mw5?[@G-  
    .UoOO'1K  
        '************************************************************************* Ngg?@pG0y  
        'Lens index of refraction zXsc1erli  
        '************************************************************************* 1n\ t+F  
        eID = FindMaterial( "Lens" ) ){r2T1+-%  
        GetModelMaterial eID, mat id?h>g  
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        mat.Nd = nlens )!tK[K?5  
        SetModelMaterial eID, mat !a$ D4(`v  
        Print "Set lens index of refraction = " & nlens )#F]G$51r  
    lD{Aa!\  
        '************************************************************************* >c-fI$]  
        'Pupil diameter l]<L [Y,E-  
        '************************************************************************* l1]p'Liuu  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) rWh6RYd<T  
    J9T3nTfL  
        'Adjust pupil diameter (trimming volume inner hole) ={?v Ab:  
    N N|u_  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" =+w*gDr  
    21RP=0Q:  
        ' Adjust pupil location to just in front of the lens exdx\@72  
        parID = FindFullName( "Geometry.Arizona Eye" ) -YD+(c`l  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) L#)(H^[  
        count = 0 _ pO`  
        While GetOperationCount(eID)>count 7hy&-<  
            GetOperation eID, count, op M/Pme&%  
            If op.Type="ShiftZ" Then 2BCtJ`S`  
                DeleteOperation eID,count ET];%~ ^  
                count=count-1 OGiV{9U  
            End If j PnM>=  
            count=count+1  fI\9\x  
        Wend `"@X.}\  
        op.Type = "ShiftZ" _lW+>xQ  
        op.val1 = taq-0.01 a(]`F(L  
        op.parent = parID @Mvd'.r<;  
        AddOperation eID, op fJZp?e"  
    fIF<g@s  
        Print "Set pupil diameter = " & pupilDiam e4FM} z[  
    wB>r (xQ'  
        'Update AZ Eye subassembly Description Il.Ed-&62  
        eID = FindFullName( "Geometry.Arizona Eye" ) rw)kAe31  
        GetEntity eID, entity y$81Z q  
        entity.Description = "Accommodation = " & A & "D" .}')f;jH5<  
        SetEntity eID, entity `MP|Ovns:H  
    VDB;%U*D  
        Update n]+W 3[i  
        Print "DONE!" 4lKVY<  
         8vk..!7n}  
    End Sub S]sk7  
    |+ge8uu?C  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: w#i[_  
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    Accommodation = 4 Diopters midsnG+jnf  
    Pupil Diameter = 4 mm  g/UaYCjM  
    Set aqueous humor thickness = 2.81 hC_Vts[v/  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 fQ+VT|jzx  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 Cc?TSZ8[  
    Set lens thickness = 3.927 *]JdHO  
    Set lens index of refraction = 1.42672 UueD(T;p  
    Set pupil diameter = 4 l!E7A Kk8  
    DONE! #[MJ|^\i  
     
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