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    [分享]Arizona眼睛模型 [复制链接]

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    只看楼主 正序阅读 楼主  发表于: 2020-12-09
    简介 j(I(0Yyh  
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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。 Y|mtQ E?c  
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    模型 >Ch2Ep  
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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。 }qGd*k0F0  
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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. ~rrl" a>  
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    光源 DCa=o  
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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。 CNV^,`FX  
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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。 l^tRy_T:-  
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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。 i%i s<'  
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    图2. 字母F光源的设定方法光 y:zNf?6&  
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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 OGH,K'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。 uQ ]ZMc  
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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。 Kl?C[  
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    图5. 视网膜重点采样规格设定
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    脚本 jc32s}/H  
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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: )`<&~>qp  
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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。 lQgavP W!  
    余下的脚本计算与屈光度有关的所有参数。 .i;?8?  
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    分析 kTzO4s?  
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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。 r_8;aPL  
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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 ^;{uop"DS  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. Q"!GdKM  
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    Dim entity As T_ENTITY 6h) &h1Yd  
    Dim op As T_OPERATION 9 %Vy,  
    Dim mat As T_MODELMATERIAL qm9=Ga5  
    Dim A As Double j:8Pcx  
    Dim pupilDiam As Double ([SJ6ff]&  
    Dim eID As Long 'aeuL1mz  
    Dim parID As Long F *U.cJ%  
    Dim count As Integer A58P$#)?  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double svt3gkR0  
    Dim tlens As Double, nlens As Double }0/l48G  
    Dim curv As Double, conic As Double ))X"bFP!3  
    Dim ok As Long /nh3/[u  
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    Sub Main 1=X1<@*  
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        '用户输入对话框 RA){\~@wC  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 }t|i1{%_  
            TextBox 220,21,40,21,.TextBox1 'default: 0 T' Jl,)"  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 Gy6x.GX  
            OKButton 40,91,90,21 4qd( a)NdY  
            CancelButton 190,91,90,21 ]X X>h~0  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 3:c6x kaw  
            TextBox 220,49,40,21,.TextBox2 'default: 4 8wkt9:  
        End Dialog K|D1  
        Dim dlg As UserDialog p&2d&;Qo0  
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        ok = Dialog (dlg) Xe\v6gbD  
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        If ok=0 Then    'cancel button was pressed >C5u>@%9O  
            Print "Execution cancelled." bq8h?Q  
            End M`* BS  
        End If cQ`0d3  
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        'Assign accommodation and pupil diameter & use defaults if field left empty @'Pay)P  
        If dlg.TextBox1 = "" Then S*76V"")  
            A = 0           'Default accommodation pUu<0a^  
        Else zW`a]n.  
            A = CDbl(dlg.TextBox1) iJKGzHvS  
        End If Nn?$}g  
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        If dlg.TextBox2 = "" Then l&Y'5k_R  
            pupilDiam = 4   'Default pupil diameter vr6YE;Rs  
        Else  Oe "%v;-  
            pupilDiam = CDbl(dlg.TextBox2) 9.9B#?  
        End If :/"5x  
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        Print " " 0<f.r~  
        Print "Accommodation = " & A & " Diopters" _ib @<%  
        Print "Pupil Diameter = " & pupilDiam & " mm" v@J[qpX  
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        ' Calculate new parameters with accommodation ,.|/B^jV  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness R`Hy0;X  
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        Rant = 12.0 - 0.4*A                     'Radius of anterior lens 6 =G=4{q  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens aej'cbO  
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        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens ]8'PLsS9<w  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens j^hLn >  
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        tlens = 3.767 + 0.04*A                  'Lens thickness N9rAosO*  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction fILvEf4b  
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        'Adjust parameters to account for accommodation 8L6b:$Y3@C  
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        '************************************************************************* )dJx82" l  
        'Aqueous thickness (Position of Lens) eYu0")  
        '************************************************************************* ^oW{N  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) YJ~mcaw  
        GetCustomElement eID, entity Ua=r24fy  
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        parID = FindFullName( "Geometry.Arizona Eye" ) $>+g)  
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        ' Delete any shift(s) in z MGr e_=Dm_  
        count = 0 (<e<Q~(  
        While GetOperationCount(eID)>count (S?DKPnR  
            GetOperation eID, count, op P^ <to(|  
            If op.Type="ShiftZ" Then Jz P0D'  
                DeleteOperation eID,count ?a1pO#{Dg  
                count=count-1 Imq-5To#  
            End If 1<*U:W $g  
            count=count+1 ~mMTfC~9  
        Wend 2. {/ls  
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        'Set new shift in f"zmNG'  
        op.Type = "ShiftZ" k*Aee7  
        op.val1 = taq K%Bz6 ~  
        op.parent = parID ovDPnf(  
        AddOperation eID, op G!h75G20  
        Print "Set aqueous humor thickness = " & taq-0.55 :AI%{EV-L  
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        '************************************************************************* hr hj4  
        'Radius and conic constant of anterior lens %}XyzGq{  
        '************************************************************************* (Q8r2*L  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) eg1F[~YL/  
        GetConic eID, entity, curv, conic W,_2JqQp  
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        SetConic eID, entity, 1/Rant, CCant < $otBC/%  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant k1s5cg=n(  
     nb6Y/`G  
        '************************************************************************* ?ks.M'@  
        'Radius and conic constant of posterior lens n+i=Ff  
        '************************************************************************* & d$X:  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) *JQ*$$5  
        GetConic eID, entity, curv, conic $J&c1  
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        SetConic eID, entity, 1/Rpost, CCpost i$<")q  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost zgH*B*)bj  
    *;~u 5y2b  
        '************************************************************************* S kB*w'k  
        'Lens thickness (Position of posterior lens surface) {t!7r_hj  
        '************************************************************************* BBv+*jj  
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        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) 2% OAQ(  
     ,CuWQ'H  
        ' Delete any z-shift(s) %H,s~IU  
        count = 0 3d olrW  
        While GetOperationCount(eID)>count 4z9lk^#"X  
            GetOperation eID, count, op rPqM&&+  
            If op.Type="ShiftZ" Then =;b3i1'U  
                DeleteOperation eID,count ' 2O @  
                count=count-1 p8?v o ?^  
            End If 5Dz$_2oM3  
            count=count+1 Y:, rN  
        Wend 3eXIo=  
    2gMG7%d  
        'Set new z-shift CH;U_b  
        op.Type = "ShiftZ" |r36iUHZS  
        op.val1 = tlens cO 5zg<wF  
        op.parent = parID c %Cbq0+2  
        AddOperation eID, op P=\{  
        Print "Set lens thickness = " & tlens F *r)  
    _L$a[zH  
        '************************************************************************* F"O\uo:3  
        'Lens index of refraction Pnm$g; `P  
        '************************************************************************* ,sL%Ykr  
        eID = FindMaterial( "Lens" ) xIC@$GP  
        GetModelMaterial eID, mat pRL:,q\  
    :Jv5Flxl  
        mat.Nd = nlens x\f~Gtt7Y  
        SetModelMaterial eID, mat bv b \G  
        Print "Set lens index of refraction = " & nlens ( N};.DB1Y  
    vv{+p(~**O  
        '************************************************************************* j%^4 1y  
        'Pupil diameter #8yo9g6  
        '************************************************************************* lG%697P  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) |%mZ|,[  
    TjYHoL5  
        'Adjust pupil diameter (trimming volume inner hole) tp>YsQy]8  
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        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" wWiYxBeN  
    4OpzGZ4+  
        ' Adjust pupil location to just in front of the lens M*kE |q/K  
        parID = FindFullName( "Geometry.Arizona Eye" ) ]+W){W=ai  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) $T^q>v2u  
        count = 0 i/1$uQ  
        While GetOperationCount(eID)>count $D#h, `  
            GetOperation eID, count, op b \ln XN  
            If op.Type="ShiftZ" Then vZ"gCf3#?3  
                DeleteOperation eID,count wlaPE8Gc  
                count=count-1 6[c|14l  
            End If /#H P;>!n  
            count=count+1 J:Qx5;b;  
        Wend tHZ"o!(S  
        op.Type = "ShiftZ" fx[&"$X  
        op.val1 = taq-0.01 tZz%x?3G  
        op.parent = parID >(S)aug$1  
        AddOperation eID, op 10 *Tk 8  
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        Print "Set pupil diameter = " & pupilDiam 9&AO  
    jYRSV7d  
        'Update AZ Eye subassembly Description V3q`V/\  
        eID = FindFullName( "Geometry.Arizona Eye" ) 5)lcgvp  
        GetEntity eID, entity W/>a 1  
        entity.Description = "Accommodation = " & A & "D" \GxqE8  
        SetEntity eID, entity Hy&Z0W'l  
    Vb\g49\o/  
        Update R^o535pozc  
        Print "DONE!" 4oiE@y&{4  
         &um++ \  
    End Sub "T5oUy&i  
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    如果屈光度是4,光瞳直径是4,则会输出如下数据: AG=PbY9  
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    Accommodation = 4 Diopters fI<LxU_n:  
    Pupil Diameter = 4 mm ;Jg$C~3tf  
    Set aqueous humor thickness = 2.81 aH'fAX0bF  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 RBn/7  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 hQm=9gS  
    Set lens thickness = 3.927 `v``}8tm  
    Set lens index of refraction = 1.42672 $Z#~wsw  
    Set pupil diameter = 4 D5@=#/?*  
    DONE! ~rdS#f&R2  
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