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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 4a 5n*6G!  
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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。 a} /Vu"  
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    模型 9@j~1G%^  
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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。 \xdt|:8  
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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. dnx}c4P  
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    光源 vW_A.iI"e  
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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。 0L1P'*LRU  
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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。 kgIWgk%  
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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。 !69^ kIi$  
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    图2. 字母F光源的设定方法光 {, |"Rpd  
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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 ^"Y'zI L  
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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。 M;9+L&p=  
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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。 ~ /[Cgh0  
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    图5. 视网膜重点采样规格设定
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    脚本 @Otc$hj  
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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: q+z\Y?  
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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。 gh}AD1TN]  
    余下的脚本计算与屈光度有关的所有参数。 u s0'7|{q  
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    分析 acZHb[w  
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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。 9vTQ^*b m  
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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 55DzBV  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. nnNg^<[k3  
    w'0M>2   
    Dim entity As T_ENTITY UT~2}B9fc  
    Dim op As T_OPERATION ;5k|gW  
    Dim mat As T_MODELMATERIAL (3h*sd5ly  
    Dim A As Double ?GarD3#A  
    Dim pupilDiam As Double gk1S"H  
    Dim eID As Long `Cf en8  
    Dim parID As Long 5)7mjyo%  
    Dim count As Integer =)YYx8gR  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double N)*e^Nfb  
    Dim tlens As Double, nlens As Double mv.I.EL  
    Dim curv As Double, conic As Double I0vn d7  
    Dim ok As Long X@&uu0JJ  
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    Sub Main FBAC9}V"  
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        '用户输入对话框 O`jA-t  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 T:">,* |  
            TextBox 220,21,40,21,.TextBox1 'default: 0 UMwMXmZNJ  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 *UoHzaIqz  
            OKButton 40,91,90,21 $-?5Q~  
            CancelButton 190,91,90,21 }.) 43(>]  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 xJLO\B+gM  
            TextBox 220,49,40,21,.TextBox2 'default: 4 u^$Md WP  
        End Dialog .GN$H>')  
        Dim dlg As UserDialog 9:i,WJO  
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        ok = Dialog (dlg) B 9Q. s  
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        If ok=0 Then    'cancel button was pressed k3 [h'.ps  
            Print "Execution cancelled." ]3,.g)U*m  
            End 9*+0j2uhQ  
        End If fsc~$^.~\  
    B;]5,`#!  
        'Assign accommodation and pupil diameter & use defaults if field left empty rY?F6'}  
        If dlg.TextBox1 = "" Then NND=Z xl  
            A = 0           'Default accommodation CPNN!%-  
        Else :@`(}5F4  
            A = CDbl(dlg.TextBox1) >X,Ag  
        End If KbdfSF$  
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        If dlg.TextBox2 = "" Then -f2`qltjb  
            pupilDiam = 4   'Default pupil diameter *tM7>  
        Else I/V )z9  
            pupilDiam = CDbl(dlg.TextBox2) XH:gQ9FD  
        End If _#D\*0J  
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        Print " " ,V]A63J  
        Print "Accommodation = " & A & " Diopters" 7;}3{z  
        Print "Pupil Diameter = " & pupilDiam & " mm" px }7If  
    T[XP\!z]B!  
        ' Calculate new parameters with accommodation #f3;}1(  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness oUvk2]H  
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        Rant = 12.0 - 0.4*A                     'Radius of anterior lens tkN3BQ  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens |] !o*7"4  
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        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens 4%fN\f  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens ]]=-AuV.  
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        tlens = 3.767 + 0.04*A                  'Lens thickness +8)]m<  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction {eswe  
    rbK#a)7  
        'Adjust parameters to account for accommodation t&9as}  
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        '************************************************************************* j[/SXF\=  
        'Aqueous thickness (Position of Lens) mfngbFa1  
        '************************************************************************* {Bq"$M!Y  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) F!)M<8jL&9  
        GetCustomElement eID, entity wyrI8UY  
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        parID = FindFullName( "Geometry.Arizona Eye" ) <p^*Ydx  
    YQ @dl  
        ' Delete any shift(s) in z uZo`IKJ  
        count = 0 mS:j$$]u  
        While GetOperationCount(eID)>count c8-69hb?  
            GetOperation eID, count, op Im?= e  
            If op.Type="ShiftZ" Then "y~muE:.  
                DeleteOperation eID,count 5X`w&(]m  
                count=count-1 ,qe]fo >  
            End If Tr+h$M1_Ja  
            count=count+1 I mPu}  
        Wend 8|5Gv  
    GX7 eRqz>  
        'Set new shift in c?.r"5#  
        op.Type = "ShiftZ" aYaG]&hb  
        op.val1 = taq P /c Q1  
        op.parent = parID \)^,PA3  
        AddOperation eID, op '&-5CpDUs  
        Print "Set aqueous humor thickness = " & taq-0.55 Mhv1K|4s  
    ]&C:>  
        '************************************************************************* ~U"by_  
        'Radius and conic constant of anterior lens ]27>a"p59Y  
        '************************************************************************* k5 aa>6K  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) ?qg^WDs$  
        GetConic eID, entity, curv, conic 8h&oSOkQk,  
    3$?9uMl#  
        SetConic eID, entity, 1/Rant, CCant mUrS &&fu8  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant `1fJ:b/M  
    7P/?wv9+n*  
        '************************************************************************* 'v\1:zi  
        'Radius and conic constant of posterior lens I&TTr7  
        '************************************************************************* ,DQGv_  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) V[o7J r~  
        GetConic eID, entity, curv, conic DKy >]Hca  
    :DtZ8$I`]C  
        SetConic eID, entity, 1/Rpost, CCpost Io$w|~x  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost V!T^wh;  
    E-UB -"6  
        '************************************************************************* _M8G3QOx  
        'Lens thickness (Position of posterior lens surface) T} n N=Q4  
        '************************************************************************* (KT38RhA  
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        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) >Z#uFt0<Pm  
    k $e D(cW$  
        ' Delete any z-shift(s) 9W{,=.%MX$  
        count = 0 %f3c7\=C  
        While GetOperationCount(eID)>count w^06z,  
            GetOperation eID, count, op :/o C:z\h  
            If op.Type="ShiftZ" Then L;/9L[s,  
                DeleteOperation eID,count J[ e}  
                count=count-1 xS= _yO9-  
            End If O&`U5w  
            count=count+1 k2EHco0BG  
        Wend ,>D ja59  
    /xl4ohL$a  
        'Set new z-shift E rr4 %-  
        op.Type = "ShiftZ" 9@:BK;Fi  
        op.val1 = tlens }1QI"M*  
        op.parent = parID z-n>9  
        AddOperation eID, op Z5((1J9  
        Print "Set lens thickness = " & tlens rHvF%o  
    M{C6rm|  
        '************************************************************************* qBT_! )h   
        'Lens index of refraction an3~'g?  
        '************************************************************************* fv|]= e  
        eID = FindMaterial( "Lens" ) T"n{WmVQ  
        GetModelMaterial eID, mat nN>J*02(  
    1TKEm9j]u  
        mat.Nd = nlens ^'m\D;  
        SetModelMaterial eID, mat U z"sdi  
        Print "Set lens index of refraction = " & nlens d; 9*l!CF  
    qs=Gj?GwGQ  
        '************************************************************************* + c`AE  
        'Pupil diameter z)}3**3'y  
        '************************************************************************* ,mBZ`X@N  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) {}V$`L8  
    4w 'lu"U  
        'Adjust pupil diameter (trimming volume inner hole) F"!agc2!  
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        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" ful#Px6m  
    2b5#PcKa  
        ' Adjust pupil location to just in front of the lens +}P%HH]E/p  
        parID = FindFullName( "Geometry.Arizona Eye" ) J0=7'@(p  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) q(,cYu  
        count = 0 djW cbC=g_  
        While GetOperationCount(eID)>count 1j11|~  
            GetOperation eID, count, op ^V[/(Lq  
            If op.Type="ShiftZ" Then .Y;b)]@f  
                DeleteOperation eID,count 1@xP(XS  
                count=count-1 |+98h&U~  
            End If tv0Ha A  
            count=count+1 ny)]GvxI  
        Wend ',GV6kt_k  
        op.Type = "ShiftZ" yf!,4SUkU  
        op.val1 = taq-0.01 98GlhogWt  
        op.parent = parID u#1%P5r&X  
        AddOperation eID, op wzd`l?o,  
    {;*}WPYb  
        Print "Set pupil diameter = " & pupilDiam ]fZ<`w8u}  
    k0L] R5W  
        'Update AZ Eye subassembly Description r088aUO P  
        eID = FindFullName( "Geometry.Arizona Eye" ) 'TL2%T/)t  
        GetEntity eID, entity yMb|I~k  
        entity.Description = "Accommodation = " & A & "D" ?OE#q$g  
        SetEntity eID, entity joqWh!kv7U  
    K1OkZ6kl  
        Update n#4Gv|{XMD  
        Print "DONE!" b^x07lO  
         @xS]!1-  
    End Sub ND5$bq Nu?  
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    如果屈光度是4,光瞳直径是4,则会输出如下数据: `?"6l5d.]  
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    Accommodation = 4 Diopters ?n.)&ZIx0  
    Pupil Diameter = 4 mm >.e+S?o  
    Set aqueous humor thickness = 2.81 6W&_2a7*  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 =s;M]:  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 " !-Kd'V  
    Set lens thickness = 3.927 ,X68xk.'  
    Set lens index of refraction = 1.42672 OUI6 ax\[  
    Set pupil diameter = 4 iCP~O  
    DONE! Ow@v"L;jF!  
     
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