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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 |P|2E~[r  
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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。 i(.PkYkaq  
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    模型 AU%Yr 6  
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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。 =X[?d/[  
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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. u0oTqD?  
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    光源 b.[9Adi >  
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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。 G^K;+&T  
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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。 `H*mQERb  
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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。 "o u{bKe  
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    图2. 字母F光源的设定方法光 T9r6,yY  
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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 !~'D;Jh  
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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。 b{-|q6  
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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。 Qu8=zI>t  
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    图5. 视网膜重点采样规格设定
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    脚本 'BgR01w J  
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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: KX cRm)  
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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。 g@/}SJh/>  
    余下的脚本计算与屈光度有关的所有参数。 PGYx] r  
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    分析 PX/^*  
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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。 ^vxNS[C`;  
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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 j*f\Z!EeZ  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. THK^u+~LM  
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    Dim entity As T_ENTITY &l_}yf"v  
    Dim op As T_OPERATION 0blbf@XA  
    Dim mat As T_MODELMATERIAL ?pd /cj^  
    Dim A As Double {:n1|_r4Z  
    Dim pupilDiam As Double N$:-q'hX  
    Dim eID As Long Vl<7>  
    Dim parID As Long {KEmGHC4R  
    Dim count As Integer =kK%,Mr  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double .We{W{  
    Dim tlens As Double, nlens As Double ]8Xip/uE  
    Dim curv As Double, conic As Double 10m|?  
    Dim ok As Long $ZB`4!JxG  
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    Sub Main {9XNh[NbP  
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        '用户输入对话框 d:_;  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 g\IwV+iDf  
            TextBox 220,21,40,21,.TextBox1 'default: 0 ,69547#o  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 U. $Th_  
            OKButton 40,91,90,21 ^/x\HGrw  
            CancelButton 190,91,90,21 x1E;dbOZ  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 m] -cRf)9  
            TextBox 220,49,40,21,.TextBox2 'default: 4 %yl17:h#  
        End Dialog M&Ln'BC  
        Dim dlg As UserDialog <viC~=k;  
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        ok = Dialog (dlg) X2:23j<  
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        If ok=0 Then    'cancel button was pressed Ra H1aS(  
            Print "Execution cancelled." [U"/A1p  
            End 0plX"NU  
        End If  tL<.B  
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        'Assign accommodation and pupil diameter & use defaults if field left empty Y ZuA"l Y  
        If dlg.TextBox1 = "" Then \.Op6ECV9  
            A = 0           'Default accommodation ^kz(/c/?  
        Else )t\aB_ =  
            A = CDbl(dlg.TextBox1) p7r/`_'|  
        End If .`v%9-5v  
    =]"I0G-s!  
        If dlg.TextBox2 = "" Then m_`%#$s}  
            pupilDiam = 4   'Default pupil diameter b&LAk-}[  
        Else ?0+g.,9  
            pupilDiam = CDbl(dlg.TextBox2) {I?)ODx7qC  
        End If u3tT=5.D  
    \ a(ce?C  
        Print " " ?k;htJcGv  
        Print "Accommodation = " & A & " Diopters" (vchZn#  
        Print "Pupil Diameter = " & pupilDiam & " mm" hv\Dz*XTs0  
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        ' Calculate new parameters with accommodation #5'& |<  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness Z;RUxe|<k  
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        Rant = 12.0 - 0.4*A                     'Radius of anterior lens 6f ?,v5  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens |')PQ  
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        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens zZ<*  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens (hQi {  
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        tlens = 3.767 + 0.04*A                  'Lens thickness rzLW @k  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction LNHi }P~  
    8?YeaMIBB  
        'Adjust parameters to account for accommodation _5x]BH6f  
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        '************************************************************************* BHZhdm@),  
        'Aqueous thickness (Position of Lens) <1<xSr  
        '************************************************************************* S9r+Nsn  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) .q[}e);)  
        GetCustomElement eID, entity ylQj2B,CB  
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        parID = FindFullName( "Geometry.Arizona Eye" ) uKvdL "  
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        ' Delete any shift(s) in z s;* UP   
        count = 0 ;DR5?N/a  
        While GetOperationCount(eID)>count P t/]Z<VL  
            GetOperation eID, count, op 0(:SEiz6s  
            If op.Type="ShiftZ" Then FoH1O+e  
                DeleteOperation eID,count j0a=v}j3  
                count=count-1 d%-/U!z?  
            End If w-LENdw  
            count=count+1 gTU5r4xm~  
        Wend z0SF2L H  
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        'Set new shift in e3~{l~ Rb  
        op.Type = "ShiftZ" 32%Fdz1S  
        op.val1 = taq tpO '<b  
        op.parent = parID G'PZ=+!XO/  
        AddOperation eID, op &vn2u bauS  
        Print "Set aqueous humor thickness = " & taq-0.55 ~ A=Gra  
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        '************************************************************************* 0.w7S6v|&  
        'Radius and conic constant of anterior lens 1;V_E2?V  
        '************************************************************************* " r o'?  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) A~<!@`NjB  
        GetConic eID, entity, curv, conic m_@XoS yxI  
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        SetConic eID, entity, 1/Rant, CCant 0`-b57lF&  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant 9!W$S[ABRB  
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        '************************************************************************* IM/xBP  
        'Radius and conic constant of posterior lens PoPR34] ^J  
        '************************************************************************* 3,6f}:CG  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) =|ODa/2 p  
        GetConic eID, entity, curv, conic .SER,],P  
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        SetConic eID, entity, 1/Rpost, CCpost hd~#I<8;2  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost <r t$~}  
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        '************************************************************************* L~Peerby  
        'Lens thickness (Position of posterior lens surface) Bdb}4X rL  
        '************************************************************************* f(~N+2}  
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        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) }l[e@6r F  
    R]&Csr#~  
        ' Delete any z-shift(s) %]DA4W  
        count = 0 G:tY1'5  
        While GetOperationCount(eID)>count %N fpEo  
            GetOperation eID, count, op %'2.9dB  
            If op.Type="ShiftZ" Then W.jXO"pN  
                DeleteOperation eID,count Y_+#|]=$B  
                count=count-1 "V 26\  
            End If UF#!6"C@  
            count=count+1 2tpuv(H;  
        Wend T>rmm7F  
    /r"<:+  
        'Set new z-shift TPk?MeVy%W  
        op.Type = "ShiftZ" ~o"=4q`>  
        op.val1 = tlens ~U"m"zpLP  
        op.parent = parID TaBya0-  
        AddOperation eID, op 'kcR:5B  
        Print "Set lens thickness = " & tlens "YgpgW  
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        '************************************************************************* oYZ  4F  
        'Lens index of refraction 0 h!Du|?  
        '************************************************************************* dVEs^ZtI  
        eID = FindMaterial( "Lens" ) $">j~!'  
        GetModelMaterial eID, mat A`f"<W-m  
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        mat.Nd = nlens cVL|kYVWT  
        SetModelMaterial eID, mat QDQ"Sc06  
        Print "Set lens index of refraction = " & nlens {eaR,d~X  
    f/#Id]B  
        '************************************************************************* \\KjiT'  
        'Pupil diameter ?8"* B^*Sh  
        '************************************************************************* bN zb#P#hP  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) bkDVW  
    v4"Ukv  
        'Adjust pupil diameter (trimming volume inner hole) m]>zdP+  
    h' !C  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" TsK!36cg  
    ',0:/jSz  
        ' Adjust pupil location to just in front of the lens <Q9l'u]3$c  
        parID = FindFullName( "Geometry.Arizona Eye" ) rtJER?A  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) dnoF)(d&Cm  
        count = 0 018SFle  
        While GetOperationCount(eID)>count [StnKQ?"wz  
            GetOperation eID, count, op oR2?$KF   
            If op.Type="ShiftZ" Then xyk%\&"7  
                DeleteOperation eID,count W4^zKnH  
                count=count-1 hFi gY\$m  
            End If @9HRGxJ=}  
            count=count+1 zY_J7,0g  
        Wend 9efey? z  
        op.Type = "ShiftZ" jL\j$'KC  
        op.val1 = taq-0.01 Qq`S=:}~x  
        op.parent = parID <}{<FXk[  
        AddOperation eID, op iv~R4;;)  
    j*?8w(!  
        Print "Set pupil diameter = " & pupilDiam T:@6(_Z  
    >^jBE''  
        'Update AZ Eye subassembly Description 1Z< ^8L<  
        eID = FindFullName( "Geometry.Arizona Eye" ) lfHN_fE>Mq  
        GetEntity eID, entity \DQu!l@1U  
        entity.Description = "Accommodation = " & A & "D" {fACfSW6  
        SetEntity eID, entity 2j%=o?me^p  
    o{,I O!q  
        Update hi!A9T3%}M  
        Print "DONE!" Lxp}o7>K  
         u>fMO9X} 2  
    End Sub HRyFjAR\?  
    6^LXctW.  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: LVB wWlJ  
    q8d](MaX  
    Accommodation = 4 Diopters kJ5z['4?  
    Pupil Diameter = 4 mm .8|wc  
    Set aqueous humor thickness = 2.81 }g/u.@E  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 $WIVCp  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 ?0/$RpFEM#  
    Set lens thickness = 3.927 YQN:&Cls  
    Set lens index of refraction = 1.42672 hAf/&yA@  
    Set pupil diameter = 4 *0>`XK$mWo  
    DONE! nKm# kb  
    'M~`IN`  
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    QQ:2987619807 aG }oI!  
     
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