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    [分享]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: 2020-12-09
    简介 6n6VEwYj  
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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。 'UvS3]bSYW  
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    模型 @FdCbPl$  
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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。 ,[}yf#8@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. F2PLy q  
    7=p-A _X  
    光源 K)Xs L  
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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。 rv%ye H  
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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。 oLqbR?  
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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。 EB29vHAt~  
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    图2. 字母F光源的设定方法光 {r].SrW9s9  
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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 V^`?8P8d  
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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。 Y0 X"Zw  
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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。 N,/BudF o  
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    图5. 视网膜重点采样规格设定
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    脚本 gaw4NZd)0  
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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: ,\S pjE  
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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。 }#ep}h  
    余下的脚本计算与屈光度有关的所有参数。 :PFx&  
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    分析 4{*tn"y  
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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。 oTF^<I-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 uEScAeQXsI  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. ,W1a<dl  
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    Dim entity As T_ENTITY C@y}*XV[b  
    Dim op As T_OPERATION (Pk"NEP   
    Dim mat As T_MODELMATERIAL Ue{vg$5||  
    Dim A As Double })o~E  
    Dim pupilDiam As Double kfqpI  
    Dim eID As Long S]e j=6SP  
    Dim parID As Long t_I\P.aMA  
    Dim count As Integer m/YH^N0  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double zd*3R+>U'>  
    Dim tlens As Double, nlens As Double UTDcX  
    Dim curv As Double, conic As Double 6%gB E  
    Dim ok As Long 9^ >M>f"  
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    Sub Main )|w*/JK\Z  
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        '用户输入对话框 Lh8bQH  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 -,~;qSs  
            TextBox 220,21,40,21,.TextBox1 'default: 0 f {y]  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 <`R|a *  
            OKButton 40,91,90,21 JcTp(fnW.~  
            CancelButton 190,91,90,21 |'V DI]p&  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1  SwdC,  
            TextBox 220,49,40,21,.TextBox2 'default: 4 E /fw?7eQ  
        End Dialog ]ZzoJ7lr  
        Dim dlg As UserDialog ^Yj"RM$;N  
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        ok = Dialog (dlg) ="uKWt6n'  
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        If ok=0 Then    'cancel button was pressed V19e>  
            Print "Execution cancelled." EKZ$Q4YE  
            End xT9Yes&  
        End If 8{R_6BS  
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        'Assign accommodation and pupil diameter & use defaults if field left empty J0^{,eY<  
        If dlg.TextBox1 = "" Then i(Ip(n  
            A = 0           'Default accommodation n K+lE0  
        Else 1s#yWQ   
            A = CDbl(dlg.TextBox1) mD9STuA$H  
        End If j~M#Ss-H8  
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        If dlg.TextBox2 = "" Then 0o=!j3RjH  
            pupilDiam = 4   'Default pupil diameter s~S?D{!  
        Else z>4 D~HX  
            pupilDiam = CDbl(dlg.TextBox2) Tr}R`6d$  
        End If U?bG`. X  
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        Print " " :e1'o  
        Print "Accommodation = " & A & " Diopters" JXpoCCe  
        Print "Pupil Diameter = " & pupilDiam & " mm" ,LhE shf  
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        ' Calculate new parameters with accommodation ?n!lUr$:y  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness @Z?7E8(  
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        Rant = 12.0 - 0.4*A                     'Radius of anterior lens |q3f]T&+>{  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens 's)fO#  
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        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens p1+7 <Y:  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens |2z}Xm5\  
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        tlens = 3.767 + 0.04*A                  'Lens thickness Z[Wlyb0  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction e#tIk;9Xz  
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        'Adjust parameters to account for accommodation *5 e<\{!  
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        '************************************************************************* -  $%jb2  
        'Aqueous thickness (Position of Lens) F&xv z2G  
        '************************************************************************* Hw Z^D= A  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) =(%*LY!Xc  
        GetCustomElement eID, entity l$F_"o?&S@  
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        parID = FindFullName( "Geometry.Arizona Eye" )  L#n}e7Y9  
    +4Q[N;[+*  
        ' Delete any shift(s) in z *2`:VFEV  
        count = 0 Qh^R Ax  
        While GetOperationCount(eID)>count zt?h^zf}  
            GetOperation eID, count, op cST\~SUm  
            If op.Type="ShiftZ" Then I-,>DLG  
                DeleteOperation eID,count ?FN9rhAC  
                count=count-1 W+8^P( K  
            End If %*6RzJO6  
            count=count+1 ' PELf P8  
        Wend *|oPxQCtK  
    ~x'zX-@rC  
        'Set new shift in EJ G2^DSS  
        op.Type = "ShiftZ" D ZVXz|g  
        op.val1 = taq ?1CJf>B>  
        op.parent = parID V~85oUc\-  
        AddOperation eID, op )!A 2>  
        Print "Set aqueous humor thickness = " & taq-0.55 D i+4Eb  
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        '************************************************************************* /jR8|sb  
        'Radius and conic constant of anterior lens F99A;M8(  
        '************************************************************************* 8 }-7{  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) 8)pB_en3sO  
        GetConic eID, entity, curv, conic VgA48qZ  
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        SetConic eID, entity, 1/Rant, CCant M|k&TTV  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant _%%yV  
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        '************************************************************************* )A"jVQjI%w  
        'Radius and conic constant of posterior lens 9\AS@SH{^T  
        '************************************************************************* X'@'/[?  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) UT4f (Xo  
        GetConic eID, entity, curv, conic =5ug\S  
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        SetConic eID, entity, 1/Rpost, CCpost J?IC~5*2  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost &Pq\cNYzW  
    =:gjz4}_8  
        '************************************************************************* |<rfvsQ.  
        'Lens thickness (Position of posterior lens surface) B7!;]'&d  
        '************************************************************************* 9:-T@u  
    ]YsR E>  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) 7/?DPwbx  
    p.C1nh  
        ' Delete any z-shift(s) b/nOdFO@  
        count = 0 wWTQ6~Y%d  
        While GetOperationCount(eID)>count EjSD4  
            GetOperation eID, count, op y@3kU*-1  
            If op.Type="ShiftZ" Then oIb) Rq!m  
                DeleteOperation eID,count :CTL)ad2  
                count=count-1 \i0-o8q@I  
            End If D#jX6  
            count=count+1 #W|!fILL  
        Wend hM>*a!)U  
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        'Set new z-shift < Y>3  
        op.Type = "ShiftZ" #V[SQ=>x[  
        op.val1 = tlens +i=p5d5  
        op.parent = parID RM,'o[%  
        AddOperation eID, op E*k([ZL  
        Print "Set lens thickness = " & tlens x> \Bxa8  
    p+[} Hxx=  
        '************************************************************************* 43L|QFo  
        'Lens index of refraction Rg&19 }BU  
        '************************************************************************* cy3M^_5B<  
        eID = FindMaterial( "Lens" ) \XS]N_}8>  
        GetModelMaterial eID, mat SA+d&H}Fc  
    M/#U2!iFk  
        mat.Nd = nlens -!TcQzHUs  
        SetModelMaterial eID, mat JYV\oV{  
        Print "Set lens index of refraction = " & nlens v9rVpYc"  
    #ZWl=z5aBi  
        '************************************************************************* io2@}xZF  
        'Pupil diameter FJwt?3\u5  
        '************************************************************************* -B 9S}NPo  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) 7|Dn+ =  
    zMGzReJ  
        'Adjust pupil diameter (trimming volume inner hole) `W"G!X-  
    8=F%+  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" hVUIBJ/5(-  
    S+ebO/$>  
        ' Adjust pupil location to just in front of the lens DA=1KaJ.  
        parID = FindFullName( "Geometry.Arizona Eye" ) <hv7s,i  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) bSrZ{l  
        count = 0 "IwM:v  
        While GetOperationCount(eID)>count aZKXD! 4  
            GetOperation eID, count, op z0Xa_w=  
            If op.Type="ShiftZ" Then e$wt&^W  
                DeleteOperation eID,count gS$A   
                count=count-1 DYRE1!  
            End If tU:FX[&?R  
            count=count+1 i03gX<=*  
        Wend 85z;Zt0{  
        op.Type = "ShiftZ" z+/LS5$  
        op.val1 = taq-0.01 Q2c*.Y  
        op.parent = parID 9j#@p   
        AddOperation eID, op ETp'oh}?  
    /9_#U#vhY  
        Print "Set pupil diameter = " & pupilDiam pjN:&#Y]  
    !O{ z 3W  
        'Update AZ Eye subassembly Description J]fS({(\I  
        eID = FindFullName( "Geometry.Arizona Eye" ) Mr* |9h  
        GetEntity eID, entity $]*d#`Sy{%  
        entity.Description = "Accommodation = " & A & "D" A5XR3$5P  
        SetEntity eID, entity c7qwNs*f  
    tcA;#^jc  
        Update K@r*;T  
        Print "DONE!" GuO`jz F  
         =M<z8R  
    End Sub RH1uVdJ1  
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    如果屈光度是4,光瞳直径是4,则会输出如下数据: ,4Y*:JU4  
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    Accommodation = 4 Diopters Q4wc-s4RN  
    Pupil Diameter = 4 mm *48IF33&s  
    Set aqueous humor thickness = 2.81 #C\4/g? =,  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 <*Y'lV  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 El6bD% \G  
    Set lens thickness = 3.927 @\}YAa>>"I  
    Set lens index of refraction = 1.42672 ]MAT2$"le  
    Set pupil diameter = 4 C4NRDwU|.  
    DONE! CgnXr/!L  
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