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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 b(McH*_8e  
    .4-I^W"1  
    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。 k 1   
    +: oD?h  
    模型 K;_.WzWD=  
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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。 9p5{,9.3*  
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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. <r{ )*]#l  
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    光源 =2=n   
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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。 -j 6U{l  
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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。 ,3{z_Rax-  
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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。 De*Z UN|<  
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    图2. 字母F光源的设定方法光 tT;=l[7%  
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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 Ur]~>-Z  
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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。 $LF  
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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。 ( |1 $zF+  
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    图5. 视网膜重点采样规格设定
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    脚本 [k9aY$baT^  
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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: X]Emz"   
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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。 %&yD^ q_  
    余下的脚本计算与屈光度有关的所有参数。 S4]xxc  
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    分析 sM?bUg0w  
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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。 0O>8DX  
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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 )T:{(v7 d`  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. @$~ BU;kR  
    ,$habq=;  
    Dim entity As T_ENTITY ~4wbIE_r N  
    Dim op As T_OPERATION 'A,&9E{%1  
    Dim mat As T_MODELMATERIAL sa`7_KB  
    Dim A As Double :XMw="u=  
    Dim pupilDiam As Double ?J+[|*'yK  
    Dim eID As Long *0y+=,"QU  
    Dim parID As Long vL13~q*F  
    Dim count As Integer ` BH8v  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double AjaG .fa]k  
    Dim tlens As Double, nlens As Double ML0o :8Bd\  
    Dim curv As Double, conic As Double !GMb~  
    Dim ok As Long ";j/k9DE  
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    Sub Main J[ UL f7:  
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        '用户输入对话框 Um\Nd#=:  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 kRskeMr:Rd  
            TextBox 220,21,40,21,.TextBox1 'default: 0 i6r%;ueLb  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 |Gjd  
            OKButton 40,91,90,21 9c806>]U^  
            CancelButton 190,91,90,21 mqk~Pno|<  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 v|jBRKU99  
            TextBox 220,49,40,21,.TextBox2 'default: 4 # 3uXgZi  
        End Dialog 7I`e5\ u  
        Dim dlg As UserDialog /yIkHb^c   
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        ok = Dialog (dlg) &:8a[C2=  
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        If ok=0 Then    'cancel button was pressed d>  Y9g  
            Print "Execution cancelled." [Y*p I&f  
            End A75IG4]  
        End If i}RxTmG<  
    UioLu90 P  
        'Assign accommodation and pupil diameter & use defaults if field left empty oj@B'j  
        If dlg.TextBox1 = "" Then !yH&l6s  
            A = 0           'Default accommodation E$f.&<>T  
        Else c3!d4mC:  
            A = CDbl(dlg.TextBox1) S'V0c%'QQV  
        End If +"T?.,  
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        If dlg.TextBox2 = "" Then -sGfpLy<6  
            pupilDiam = 4   'Default pupil diameter iO3@2J  
        Else LKxyj@Eq  
            pupilDiam = CDbl(dlg.TextBox2) `#2}[D   
        End If vhZpYW8  
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        Print " " 9pStArF?F0  
        Print "Accommodation = " & A & " Diopters" z)q9O_g9  
        Print "Pupil Diameter = " & pupilDiam & " mm" 8@Xq ,J  
    &iL"=\#  
        ' Calculate new parameters with accommodation qJVW :$1q  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness +D`IcR-x  
    # o)a`,f  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens zfO0+fMH  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens \Q?r+VZ  
    ?^2(|t9KU  
        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens z`xdRe{QP  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens [st4FaQ36  
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        tlens = 3.767 + 0.04*A                  'Lens thickness *xM4nUu<~  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction jUZ84Gm{  
    4iRcmsP  
        'Adjust parameters to account for accommodation &I:5<zK{  
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        '************************************************************************* lycY1lK  
        'Aqueous thickness (Position of Lens) 5)2lZ(5.A#  
        '************************************************************************* 3rTYe6q$U  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) nv*q N\i'  
        GetCustomElement eID, entity }9aYU;9D  
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        parID = FindFullName( "Geometry.Arizona Eye" ) &2Q4{i  
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        ' Delete any shift(s) in z BE:HO^-.1  
        count = 0 #)tt}GX  
        While GetOperationCount(eID)>count C\j|+s  
            GetOperation eID, count, op 60*2k  
            If op.Type="ShiftZ" Then n87B[R  
                DeleteOperation eID,count 5<GC  
                count=count-1 ^hq`dr|R=  
            End If YbND2 i  
            count=count+1 g599Lc&  
        Wend e54wAypPOl  
    6OF&Q`*4  
        'Set new shift in sikG}p0mx<  
        op.Type = "ShiftZ" EQ-r  
        op.val1 = taq {l%Of  
        op.parent = parID tz)aQ6p\X  
        AddOperation eID, op {PnvQ?|Z  
        Print "Set aqueous humor thickness = " & taq-0.55 vXAO#'4tm%  
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        '************************************************************************* kKr7c4q  
        'Radius and conic constant of anterior lens E;*#fD~@  
        '************************************************************************* `6)GjZh^  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) \ty{KAc&  
        GetConic eID, entity, curv, conic uwXquOw  
    7$b!-I+ a2  
        SetConic eID, entity, 1/Rant, CCant *R m>bLI  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant ']WS@MbJ  
    y$Sn3_9 V  
        '************************************************************************* casva;  
        'Radius and conic constant of posterior lens WolkW:(Cg  
        '************************************************************************* $d3al%Uo  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) b lP@Cn2  
        GetConic eID, entity, curv, conic y>_lxLhmO#  
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        SetConic eID, entity, 1/Rpost, CCpost &q^\*<B.^  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost =J&vr  
    I} m\(TS-"  
        '************************************************************************* ;!q _+P  
        'Lens thickness (Position of posterior lens surface) =&;orP  
        '************************************************************************* !}<d6&!py  
    rU=qr&f"B  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) (/UW}$] h  
    'G;y!<a  
        ' Delete any z-shift(s) ?& qMC  
        count = 0 %4|*  
        While GetOperationCount(eID)>count  $A]2Iw!&  
            GetOperation eID, count, op @E %:ALJ  
            If op.Type="ShiftZ" Then h+<vWo}H  
                DeleteOperation eID,count S.pL^Ru  
                count=count-1 +!h~T5Ck  
            End If 8[\F*H  
            count=count+1 @E;'Ffo  
        Wend %N$,1=0*  
    r"sK@  
        'Set new z-shift Q>Voa&tYn  
        op.Type = "ShiftZ" 2fFZ70Yh  
        op.val1 = tlens ]rGZ  
        op.parent = parID :,Z'/e0&  
        AddOperation eID, op 6<X.]"u+E~  
        Print "Set lens thickness = " & tlens .sI*\@w.  
    z*n  
        '************************************************************************* h_#x@p  
        'Lens index of refraction v EppkS U1  
        '************************************************************************* 3D32'KO_"  
        eID = FindMaterial( "Lens" ) FcVQ_6  
        GetModelMaterial eID, mat ]^j:}#R  
    kZ7\zbN>  
        mat.Nd = nlens {w:*t)@j  
        SetModelMaterial eID, mat J<hqF4z  
        Print "Set lens index of refraction = " & nlens VBnD:w"z  
    nb-]fa  
        '************************************************************************* ^/@Z4(E  
        'Pupil diameter =h5&:?X  
        '************************************************************************* e.-+zkQ8EI  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) WK$75G,  
    zntvKOIh  
        'Adjust pupil diameter (trimming volume inner hole) } DQ<YF+  
    2E5n07,  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" i!0w? /g9  
    v~E\u  
        ' Adjust pupil location to just in front of the lens {zzc/!|  
        parID = FindFullName( "Geometry.Arizona Eye" ) }_Y&kaM  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) TQ`s&8"P  
        count = 0 <14,xYpE  
        While GetOperationCount(eID)>count %!DdjC&5*  
            GetOperation eID, count, op 5rp,xk!  
            If op.Type="ShiftZ" Then  -c%#Hd  
                DeleteOperation eID,count cdd6*+E  
                count=count-1 B|9[DNd  
            End If *^[m?3"W  
            count=count+1 oF'_x,0  
        Wend <MK4# I1I  
        op.Type = "ShiftZ" zXX =WH  
        op.val1 = taq-0.01 N"/J1   
        op.parent = parID Z4ekBdmCL  
        AddOperation eID, op !s^[|2D_U  
    [A jY ~  
        Print "Set pupil diameter = " & pupilDiam YQ? "~[mL  
    2/o_,k  
        'Update AZ Eye subassembly Description `L~gERW#  
        eID = FindFullName( "Geometry.Arizona Eye" ) 6&oaxAp<s  
        GetEntity eID, entity .+3~ w  
        entity.Description = "Accommodation = " & A & "D" 8O^<#lh  
        SetEntity eID, entity ! 2=m |,  
    OQnb^fabY  
        Update =;L44.,g  
        Print "DONE!" (#e,tu  
         K92nh/}y  
    End Sub pu-X -j  
    r..&6-%:N  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: \9t/*%:  
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    Accommodation = 4 Diopters hqDnmzG  
    Pupil Diameter = 4 mm g9~QNA  
    Set aqueous humor thickness = 2.81 P>U7RX e  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 $I0&I[_LzK  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 '@6O3z_{  
    Set lens thickness = 3.927 .n\j<Kq  
    Set lens index of refraction = 1.42672 Z\[6 'R4.#  
    Set pupil diameter = 4 "J(T?|t  
    DONE! O'rz  
    ]0o_- NI  
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    QQ:2987619807 !8Y $}  
     
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