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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 p 2>\  
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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。 u2E}DhV  
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    模型 \S_o{0ZY}  
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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。 OTj J'  
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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. [BTOs4f  
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    光源 [9C{\t  
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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?ei>Q  
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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。 S }3?  
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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。 c$8M}q:X  
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    图2. 字母F光源的设定方法光 7o7*g 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 tiPZ.a~k  
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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。 V4ybrUWK  
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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。 c=f;3N  
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    图5. 视网膜重点采样规格设定
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    脚本 LO;6g~(1  
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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: ncpNesB  
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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。 Y^QG\6q  
    余下的脚本计算与屈光度有关的所有参数。 }_oQg_-7e  
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    分析 .naSK`J,`  
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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。 &&7&/   
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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 hz+c]K  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. >W6?!ue_  
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    Dim entity As T_ENTITY `Krk<G  
    Dim op As T_OPERATION zym6b@+jN  
    Dim mat As T_MODELMATERIAL MDoV84Fh  
    Dim A As Double :pLaxWus!  
    Dim pupilDiam As Double 7.tIf <^$P  
    Dim eID As Long O jH"qi  
    Dim parID As Long K}vYE7n:  
    Dim count As Integer _2WW0  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double 6GoQJ  
    Dim tlens As Double, nlens As Double )T@?.J`  
    Dim curv As Double, conic As Double ?(Xy 2%v  
    Dim ok As Long \s6 VOR/  
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    Sub Main '>GPk5Nq77  
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        '用户输入对话框 w&*oWI$i  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 A&{eC C  
            TextBox 220,21,40,21,.TextBox1 'default: 0 pp+z5  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 ^;[^L=}8$  
            OKButton 40,91,90,21 U lPhW~F)  
            CancelButton 190,91,90,21 _FCg5F2U  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 XHm6K1mGZ  
            TextBox 220,49,40,21,.TextBox2 'default: 4 [&)*jc16  
        End Dialog A]MX^eY  
        Dim dlg As UserDialog IeAi'  
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        ok = Dialog (dlg) & kQj)  
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        If ok=0 Then    'cancel button was pressed h>A~yDT[  
            Print "Execution cancelled." xmejoOF  
            End jxZ_-1  
        End If LCqWL1  
    i^)JxEPr w  
        'Assign accommodation and pupil diameter & use defaults if field left empty =3=8oFx8  
        If dlg.TextBox1 = "" Then e 3TKg  
            A = 0           'Default accommodation 19i=kdH  
        Else 71Y3.1+  
            A = CDbl(dlg.TextBox1) Bqw/\Lxwlf  
        End If -HRa6  
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        If dlg.TextBox2 = "" Then M %!O)r#Pn  
            pupilDiam = 4   'Default pupil diameter Ah;`0Hz;  
        Else zor  
            pupilDiam = CDbl(dlg.TextBox2) f.:0T&%G  
        End If PJAM_K;  
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        Print " " =00 sB  
        Print "Accommodation = " & A & " Diopters" lr=quWDY  
        Print "Pupil Diameter = " & pupilDiam & " mm" ITZ}$=   
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        ' Calculate new parameters with accommodation 2>)::9e4  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness <1<0odB  
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        Rant = 12.0 - 0.4*A                     'Radius of anterior lens yY!@FGsA  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens :/6u*HwZh  
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        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens juMHc$d17  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens }x:}9iphF  
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        tlens = 3.767 + 0.04*A                  'Lens thickness 4+Y9":<  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction Ci?RuZ"  
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        'Adjust parameters to account for accommodation |5*:ThC[  
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        '************************************************************************* 7|<-rjz^  
        'Aqueous thickness (Position of Lens) n66b(6"mO2  
        '************************************************************************* [jTZxH<  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) ooj^Z%9P  
        GetCustomElement eID, entity oot kf=  
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        parID = FindFullName( "Geometry.Arizona Eye" ) *rC%nmJwk!  
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        ' Delete any shift(s) in z .]/k#Hv  
        count = 0 %V92q0XW  
        While GetOperationCount(eID)>count W7w*VD|  
            GetOperation eID, count, op Fyc":{Jd  
            If op.Type="ShiftZ" Then V5+|H1=  
                DeleteOperation eID,count k>#-NPU$  
                count=count-1 d6A+pa'2  
            End If |%j7Es  
            count=count+1 &&Otj-n5  
        Wend @e+qe9A|  
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        'Set new shift in ! ~+mf^D  
        op.Type = "ShiftZ" FB O_B  
        op.val1 = taq bK|nxL  
        op.parent = parID ZSn6JV'g  
        AddOperation eID, op hne}G._b  
        Print "Set aqueous humor thickness = " & taq-0.55 J74kK#uF=  
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        '************************************************************************* fjHd"!)3  
        'Radius and conic constant of anterior lens #^w8Y'{?  
        '************************************************************************* JiGS[tR  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) UC!"1)~mt`  
        GetConic eID, entity, curv, conic =9A!5  
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        SetConic eID, entity, 1/Rant, CCant u9{Z*w3L7  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant (n2=.9k!  
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        '************************************************************************* I}\`l+  
        'Radius and conic constant of posterior lens FwDEYG  
        '************************************************************************* (!T\[6  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) z[0t%]7l  
        GetConic eID, entity, curv, conic ;RW5XnVx  
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        SetConic eID, entity, 1/Rpost, CCpost ^F-AZP /5F  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost V""3#Tw   
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        '************************************************************************* Suk;##I  
        'Lens thickness (Position of posterior lens surface) TWU1@5?Ct  
        '************************************************************************* -9(nsaV  
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        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) LHq*E`  
    >x${I`2w  
        ' Delete any z-shift(s) )>!y7/3  
        count = 0 s+a#x(7{  
        While GetOperationCount(eID)>count 2MDY nMy  
            GetOperation eID, count, op e_llW(*l8^  
            If op.Type="ShiftZ" Then +\Je B/F  
                DeleteOperation eID,count }QJ6"s  
                count=count-1 /+f3jy:d  
            End If 1P/4,D@  
            count=count+1 1Pd2%  
        Wend m[A$Sp_"-h  
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        'Set new z-shift P,7beHjf  
        op.Type = "ShiftZ" q`@8  
        op.val1 = tlens ExSy/^4f  
        op.parent = parID -7m7.>/M  
        AddOperation eID, op 2bTM0-  
        Print "Set lens thickness = " & tlens 7/FF}d  
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        '************************************************************************* z_87 ;y;=  
        'Lens index of refraction 0y=lf+xA*  
        '************************************************************************* z?(QM:  
        eID = FindMaterial( "Lens" ) D__*?frWpW  
        GetModelMaterial eID, mat Xl/2-'4  
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        mat.Nd = nlens -nk0Q_7N  
        SetModelMaterial eID, mat  -to3I  
        Print "Set lens index of refraction = " & nlens }z_7?dn/  
    <nF1f(ky  
        '************************************************************************* n#)kvr  
        'Pupil diameter g y1i%  
        '************************************************************************* Cx ;n#dn*  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) t<znz6  
    'dcO-A:>  
        'Adjust pupil diameter (trimming volume inner hole) Med0O~T%  
    ;h7O_|<%  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" 3!u:*ibt  
    >2K:O\&  
        ' Adjust pupil location to just in front of the lens \yY2 mr  
        parID = FindFullName( "Geometry.Arizona Eye" ) .q9i10C  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) 8#15*'Y  
        count = 0 /@]@Tz@'  
        While GetOperationCount(eID)>count q%MLj./?[  
            GetOperation eID, count, op W.  p'T}2  
            If op.Type="ShiftZ" Then o`\@Yq$.  
                DeleteOperation eID,count \_3#%%z  
                count=count-1 TRQH{O\O  
            End If x%, !px3s  
            count=count+1 /w:~!3Aj0+  
        Wend i UW.$1l  
        op.Type = "ShiftZ" JAI;7  
        op.val1 = taq-0.01 D,, x<JG|  
        op.parent = parID R5MY\^H/A  
        AddOperation eID, op b "5WsJ:'#  
    "9!CsloWhz  
        Print "Set pupil diameter = " & pupilDiam 0vcM+}rw  
    nh%Q";  
        'Update AZ Eye subassembly Description U,GY']J  
        eID = FindFullName( "Geometry.Arizona Eye" ) |&H(skF_  
        GetEntity eID, entity r#/Bz5Jb*  
        entity.Description = "Accommodation = " & A & "D" of?0 y-LT%  
        SetEntity eID, entity *]* D^'  
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        Update d]QCk &XU  
        Print "DONE!" O@? *5  
         [7gwJiK  
    End Sub Ss#UX_DT_  
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    如果屈光度是4,光瞳直径是4,则会输出如下数据: Y(P <9 m:  
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    Accommodation = 4 Diopters 1IV R4:a  
    Pupil Diameter = 4 mm g+M& _n  
    Set aqueous humor thickness = 2.81 o|7 h  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 }A'Ro/n  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 O,?aVgY  
    Set lens thickness = 3.927 dSIZsapH  
    Set lens index of refraction = 1.42672 E>O1dPZcM  
    Set pupil diameter = 4 -87]$ ax  
    DONE! =hB0p^a  
     
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