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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 s!RA_%8/>  
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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。 zxmI/]3+/  
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    模型 `]I5WTt*X  
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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。 8&[<pbN)  
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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. H?bs K~  
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    光源 Z.OrHg1  
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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。 d`][1rZk  
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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。 A VG`r2T  
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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。 + d)~;I$  
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    图2. 字母F光源的设定方法光 X ^ ]$/rI)  
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    图3. 字母F在视网膜上位置点列图
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    视网膜的散射  v2=!*  
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    在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 r!gCh`PiK  
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    图4. 视网膜朗伯散射设定
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    注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 QgM_SY|Rj  
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    图5. 视网膜重点采样规格设定
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    脚本 &fhurzzAm  
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    内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: dnc!=Z89  
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    图6. 用户对话框的创建与编辑
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    图7. 用户对话框编辑器
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    如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 b'"%   
    余下的脚本计算与屈光度有关的所有参数。 -"fq34v  
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    分析 zk~rKQ,  
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    屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 BFu9KS+@)  
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    图7. 字母F在视网膜上颜色分析
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    脚本代码 )L("t  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. 5Cka."bQ  
    /s_$CSiB  
    Dim entity As T_ENTITY pg`;)@  
    Dim op As T_OPERATION +-137!x\q  
    Dim mat As T_MODELMATERIAL B y8Tw;aL  
    Dim A As Double +Z0E?,Oz  
    Dim pupilDiam As Double {oeQK   
    Dim eID As Long $466? oI  
    Dim parID As Long .]l2)OlLQ  
    Dim count As Integer 7B :aJfxM  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double 1k({(\>qq  
    Dim tlens As Double, nlens As Double   `.-C6!  
    Dim curv As Double, conic As Double 'F~SNIay  
    Dim ok As Long OyZ>R~c'B  
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    Sub Main f|E'eFrFk  
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        '用户输入对话框 CU&,Kq@  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 t!C-G+It  
            TextBox 220,21,40,21,.TextBox1 'default: 0  kS9  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 $QnfpM%+=  
            OKButton 40,91,90,21 m <ruFxY  
            CancelButton 190,91,90,21 7[ji,.7  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 \H12~=p`B  
            TextBox 220,49,40,21,.TextBox2 'default: 4 rnaDo\5  
        End Dialog O, 6!`\ND  
        Dim dlg As UserDialog 4w[ta?&6B  
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        ok = Dialog (dlg) :UciFIa  
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        If ok=0 Then    'cancel button was pressed go5!zSs  
            Print "Execution cancelled." =? aB@&  
            End c:TP7"vG  
        End If w!M ^p&T7  
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        'Assign accommodation and pupil diameter & use defaults if field left empty -lEh}r  
        If dlg.TextBox1 = "" Then N`MQHQ1  
            A = 0           'Default accommodation ~`.%n7  
        Else J n/=v\K@  
            A = CDbl(dlg.TextBox1) \}W.RQ^3  
        End If $ 7!GA9Bn  
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        If dlg.TextBox2 = "" Then c5pG?jr+d  
            pupilDiam = 4   'Default pupil diameter (5 hu W7v  
        Else u>#'Y+7  
            pupilDiam = CDbl(dlg.TextBox2) (#lS?+w)  
        End If OwUbm0)h^V  
    X=~QE}x  
        Print " " nX'.'3  
        Print "Accommodation = " & A & " Diopters" !y.7"G*  
        Print "Pupil Diameter = " & pupilDiam & " mm" r>o6}Mx$  
    :f:C*mYvu  
        ' Calculate new parameters with accommodation Z0KA4O$eL  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness k=}hY+/=  
    39#>C~BOl  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens Sa5y7   
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens Yw0@O1Cel  
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        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens O*7 pg  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens ,fRb6s-  
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        tlens = 3.767 + 0.04*A                  'Lens thickness jL&F7itP  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction j/&7L@Y  
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        'Adjust parameters to account for accommodation ]vMft?  
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        '************************************************************************* `N+ P ,  
        'Aqueous thickness (Position of Lens) Vv]mME@  
        '************************************************************************* 1)y}.y5S  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) Re_.<_$  
        GetCustomElement eID, entity A[MEtI=Q J  
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        parID = FindFullName( "Geometry.Arizona Eye" ) G].Z| Z9  
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        ' Delete any shift(s) in z -L@=j  
        count = 0 }<p%PyM  
        While GetOperationCount(eID)>count w'C(? ?mH  
            GetOperation eID, count, op lx SGvvP4  
            If op.Type="ShiftZ" Then b.(^CYYQ  
                DeleteOperation eID,count I6+5mv\  
                count=count-1 fqxMTTg@  
            End If kmwFw>#  
            count=count+1 nM#\4Q[}Jh  
        Wend lU maNZ  
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        'Set new shift in f|!zjX`  
        op.Type = "ShiftZ" 8}2 `^<U  
        op.val1 = taq o'G")o  
        op.parent = parID Ex<0@Oz  
        AddOperation eID, op c)?y3LX  
        Print "Set aqueous humor thickness = " & taq-0.55 TD'1L:mv  
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        '************************************************************************* P$Nwf,d2u  
        'Radius and conic constant of anterior lens V0>,Kxk  
        '************************************************************************* 4?`7XJ0a  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) q-'zZ#  
        GetConic eID, entity, curv, conic tP3Upw"U  
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        SetConic eID, entity, 1/Rant, CCant @L0.Z1 ).  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant *:iFhKFU  
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        '************************************************************************* B4%W,F:@  
        'Radius and conic constant of posterior lens ~_Aclm?  
        '************************************************************************* 0[^f9NZ>-  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) :0/I2:  
        GetConic eID, entity, curv, conic !U@[lBW  
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        SetConic eID, entity, 1/Rpost, CCpost 0=NB[eG  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost YIfbcR5  
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        '************************************************************************* b$hQB090  
        'Lens thickness (Position of posterior lens surface) @>?&Mw\c  
        '************************************************************************* (c;$^xZK  
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        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) .M04n\  
    i9Qx{f88  
        ' Delete any z-shift(s) ffdyDUzQ  
        count = 0 8D-g%Aj-  
        While GetOperationCount(eID)>count E8/P D  
            GetOperation eID, count, op {B 34^H:  
            If op.Type="ShiftZ" Then =4G9ev 4  
                DeleteOperation eID,count W<t,Ivg  
                count=count-1 9i n&\  
            End If N G4wtDa  
            count=count+1 f -bVcWI  
        Wend P:=3;d{v  
    I%|W O*x  
        'Set new z-shift }2}hH0R  
        op.Type = "ShiftZ" tcfUhSz,I  
        op.val1 = tlens |VIBSty2d  
        op.parent = parID t<rhrW75P  
        AddOperation eID, op -Y D6  
        Print "Set lens thickness = " & tlens )]'?yS"  
    (V*ggii@  
        '************************************************************************* Gt'%:9r  
        'Lens index of refraction dAR):ZKq?  
        '************************************************************************* +PjH2  
        eID = FindMaterial( "Lens" ) mjf U[2  
        GetModelMaterial eID, mat 99vm7"5hQ  
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        mat.Nd = nlens ))<3+^S0V\  
        SetModelMaterial eID, mat BDpeAF8z  
        Print "Set lens index of refraction = " & nlens V1M oW;&  
    |d K_^~;o  
        '************************************************************************* '6WaG hvO  
        'Pupil diameter n>{ >3?  
        '************************************************************************* S Bs_rhe  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) *:wu{3g}M`  
    w[t!?(![>  
        'Adjust pupil diameter (trimming volume inner hole) p "u5wJ_  
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        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" .xS}/^8iD  
    K[O'@v  
        ' Adjust pupil location to just in front of the lens vk&C'&uV9@  
        parID = FindFullName( "Geometry.Arizona Eye" ) b k 30d  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) k1W q$KCwG  
        count = 0 <rNCb;  
        While GetOperationCount(eID)>count 1 %K^(J;  
            GetOperation eID, count, op [;%qxAB/_  
            If op.Type="ShiftZ" Then #)z_TM07P  
                DeleteOperation eID,count "*a^_tsT?i  
                count=count-1 <GT&q <4w  
            End If SnRk` 5t  
            count=count+1 j'g':U  
        Wend N^H~VG&D(  
        op.Type = "ShiftZ" 4fgA3%  
        op.val1 = taq-0.01 BNL Q]  
        op.parent = parID a!vF;J-Zqa  
        AddOperation eID, op q3n(Z  
    "CX&2Xfe  
        Print "Set pupil diameter = " & pupilDiam >8\EdN59{  
    Q0s!]Dk  
        'Update AZ Eye subassembly Description |p}qK Fdi  
        eID = FindFullName( "Geometry.Arizona Eye" ) 0x*L"HD  
        GetEntity eID, entity 0P_qtS  
        entity.Description = "Accommodation = " & A & "D" 3!ZndW SHV  
        SetEntity eID, entity l@Uo4b^4x  
    \L Gj]mb1  
        Update :_X9x{  
        Print "DONE!" M:YtW5{  
         BxVo>r  
    End Sub ju~js  
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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: T*e>_\Tx  
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    Accommodation = 4 Diopters n$&xVaF|  
    Pupil Diameter = 4 mm [oqb@J2  
    Set aqueous humor thickness = 2.81 ~H`~&?  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 )%FRBO]  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 6qp2C]9=  
    Set lens thickness = 3.927 dz3chy,3  
    Set lens index of refraction = 1.42672 os 9X)G  
    Set pupil diameter = 4 9M8 n  
    DONE! J0K25w  
     
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