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    [技术]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: 2021-10-22
    简介 }6u2*(TmD  
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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。 OF U/gaO~  
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    模型 `'S0*kMT  
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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。 K`-!uZW:B7  
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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. c3TKl/  
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    光源 o4y']JSN  
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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。 1GCzyBSbb  
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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。 Di.3113t  
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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。 5*g]qJF  
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    图2. 字母F光源的设定方法光 *Mc7f?H  
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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  AnBJ(h  
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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。 ~wm;;#_O  
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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。 /#NYi,<{X  
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    图5. 视网膜重点采样规格设定
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    脚本 "_UdBG  
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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: qy1F* kY  
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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。 J5Z%ImiT^O  
    余下的脚本计算与屈光度有关的所有参数。 zw<p74DH  
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    分析 Uh eC  
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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。 G6P)C##ibn  
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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 UB`ToE|Ii  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. WS8+7O'1\  
    {]*x*aa\  
    Dim entity As T_ENTITY g6t"mkMY L  
    Dim op As T_OPERATION inb^$v  
    Dim mat As T_MODELMATERIAL POI.]1i  
    Dim A As Double Ox!U8g8c  
    Dim pupilDiam As Double QS.>0i/7l  
    Dim eID As Long g1E~+@  
    Dim parID As Long +yob)%  
    Dim count As Integer \`<cH#  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double <:>SGSE9  
    Dim tlens As Double, nlens As Double wFh8?Z3u_  
    Dim curv As Double, conic As Double n%^ LPD  
    Dim ok As Long >Hb^P)3  
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    Sub Main !rDdd%Z  
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        '用户输入对话框 f*{ YFg?*&  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 r~-.nb"P  
            TextBox 220,21,40,21,.TextBox1 'default: 0 v44}%$  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 V"o7jsFH6n  
            OKButton 40,91,90,21 hVT~~n`Rj  
            CancelButton 190,91,90,21 ]r! >{  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 #o/ H~Iv  
            TextBox 220,49,40,21,.TextBox2 'default: 4 #ge)2  
        End Dialog 0 S_':r   
        Dim dlg As UserDialog ,21 np  
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        ok = Dialog (dlg) 0_P}z3(M  
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        If ok=0 Then    'cancel button was pressed .o1^Oh  
            Print "Execution cancelled." Ab%;Z5$fr  
            End $mmup|;(  
        End If 9j ]sD/L5q  
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        'Assign accommodation and pupil diameter & use defaults if field left empty .roqEasu8  
        If dlg.TextBox1 = "" Then G&xo1K]  
            A = 0           'Default accommodation +x? #DH-  
        Else 4h!f/aF'  
            A = CDbl(dlg.TextBox1) 5erc D  
        End If h eaRX4  
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        If dlg.TextBox2 = "" Then R3)57OyV  
            pupilDiam = 4   'Default pupil diameter l+V,DCE  
        Else 9 3+"D`  
            pupilDiam = CDbl(dlg.TextBox2) ;= j@, yu  
        End If 8(.mt/MR  
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        Print " " =~Ynz7 /x  
        Print "Accommodation = " & A & " Diopters" pL1Q7&&c0  
        Print "Pupil Diameter = " & pupilDiam & " mm" n?\ nn3  
    !Fw?H3X!"q  
        ' Calculate new parameters with accommodation n,eJ$2!J  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness &1l=X]%  
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        Rant = 12.0 - 0.4*A                     'Radius of anterior lens RjF'x  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens ONNpiK-  
    di)*-+  
        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens B/5=]R  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens IX: 25CEI2  
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        tlens = 3.767 + 0.04*A                  'Lens thickness }pk#!N  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction l$K,#P<)  
    +$xeoxU>;  
        'Adjust parameters to account for accommodation 6Ao%>;e*  
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        '************************************************************************* Tmh(= TB'  
        'Aqueous thickness (Position of Lens) _A<u#.yd  
        '************************************************************************* a9n^WOJ6  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) VL[R(a6c <  
        GetCustomElement eID, entity ;fw1  
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        parID = FindFullName( "Geometry.Arizona Eye" ) *5zrZ]^  
    !zPG? q]3  
        ' Delete any shift(s) in z Lb{e,JH  
        count = 0 2j(h+?N7k  
        While GetOperationCount(eID)>count nd;fy$<J\  
            GetOperation eID, count, op ,f}UGd[a  
            If op.Type="ShiftZ" Then -",=G\XZ  
                DeleteOperation eID,count vA$o~?a]/  
                count=count-1 K =.%$A  
            End If r1ws1 rr=  
            count=count+1 !R*-R.%  
        Wend =fm]Dl9h*  
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        'Set new shift in $Vc~/>  
        op.Type = "ShiftZ" kc7lc|'z  
        op.val1 = taq =#mTfJ   
        op.parent = parID ]zO/A4  
        AddOperation eID, op .nYUL>  
        Print "Set aqueous humor thickness = " & taq-0.55 s5RjIa0$7  
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        '************************************************************************* >7!6nF3x,  
        'Radius and conic constant of anterior lens *lef=:&,,  
        '************************************************************************* axHK_1N{  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) ^Qu iH'  
        GetConic eID, entity, curv, conic \#68;)+=  
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        SetConic eID, entity, 1/Rant, CCant pV6d Id  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant J$~<V IX  
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        '************************************************************************* USN8N (  
        'Radius and conic constant of posterior lens 9%* wb`&  
        '************************************************************************* zEZLKWm9-  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) JFgoN,xn  
        GetConic eID, entity, curv, conic /-6S{hl9Ne  
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        SetConic eID, entity, 1/Rpost, CCpost =A Vg Iv  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost lpH=2l$>?  
    P}.7Mehf  
        '************************************************************************* '0$?h9"  
        'Lens thickness (Position of posterior lens surface) )2,eFNB#n  
        '************************************************************************* pZ#ap<|>I  
    IV lf=k  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) %4 \OPw&  
    [m+iQVk'  
        ' Delete any z-shift(s) zI~owK)%Z  
        count = 0 1FtM>&%4  
        While GetOperationCount(eID)>count n.hv!W0  
            GetOperation eID, count, op ~}K5#<   
            If op.Type="ShiftZ" Then i(? ,6)9  
                DeleteOperation eID,count ]|_\xO(  
                count=count-1 X-Wz:NA  
            End If tNVV)C  
            count=count+1 zrVC8Wb  
        Wend ,G#.BLH cX  
    ?PTk1sB  
        'Set new z-shift qyHZ M}/  
        op.Type = "ShiftZ" ?Qb<-~~ j1  
        op.val1 = tlens kt4d; 4n  
        op.parent = parID jL)WPq!m+  
        AddOperation eID, op VF&Z%O3n  
        Print "Set lens thickness = " & tlens qo)?8kx>l  
    R:p62c;Tv0  
        '************************************************************************* @|a>&~xX  
        'Lens index of refraction "U. ^lkN  
        '************************************************************************* &D%(~|'  
        eID = FindMaterial( "Lens" ) 7u\*_mrv  
        GetModelMaterial eID, mat ~) ?  
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        mat.Nd = nlens `si#aU  
        SetModelMaterial eID, mat *&AfR8x_z  
        Print "Set lens index of refraction = " & nlens ylKmj]A  
    /v095H@  
        '************************************************************************* c:83LZ  
        'Pupil diameter -/ ]W+[  
        '************************************************************************* nN$Y(2ZN  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) XW JwJ  
    ( 6(x'ByT  
        'Adjust pupil diameter (trimming volume inner hole) @DW[Z`X  
    ?=GXqbS"  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" 5 ,0d  
    +.RKi !  
        ' Adjust pupil location to just in front of the lens @`FCiHM  
        parID = FindFullName( "Geometry.Arizona Eye" ) 3Rm#-T s  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) PNW \*;j  
        count = 0 4`#F^2r!  
        While GetOperationCount(eID)>count +7Kyyu)y@  
            GetOperation eID, count, op Hn,:`mj4-6  
            If op.Type="ShiftZ" Then )pw&c_x  
                DeleteOperation eID,count 0'&X T^"  
                count=count-1 LtT\z<bAI  
            End If bYe;b><G  
            count=count+1 BF{w)=@/'  
        Wend = sAn,ri  
        op.Type = "ShiftZ" zU6a't P  
        op.val1 = taq-0.01 UEak^Mm;=2  
        op.parent = parID 3Q/#T1@  
        AddOperation eID, op JcJmds  
    _wb0'xoK"  
        Print "Set pupil diameter = " & pupilDiam MH| ] \  
    @{h?+ d  
        'Update AZ Eye subassembly Description ch5s<x#CE  
        eID = FindFullName( "Geometry.Arizona Eye" ) 7z_;t9Y  
        GetEntity eID, entity \qi|Js*{  
        entity.Description = "Accommodation = " & A & "D" L]a`"CH:a$  
        SetEntity eID, entity OT %nrzP  
    8#R?]Uwq  
        Update Gf8s?l  
        Print "DONE!" 'H9=J*9oG  
         _<ut)G^9  
    End Sub 3CTX -#)vS  
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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: OPpjuIRv  
    wx=0'T-[  
    Accommodation = 4 Diopters \EoX8b}$b0  
    Pupil Diameter = 4 mm I[o*RKT'"  
    Set aqueous humor thickness = 2.81 w^K^I_2ge  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 ]j>i.5  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 ]L2Oz  
    Set lens thickness = 3.927 fJjgq)9  
    Set lens index of refraction = 1.42672 (_* wt]"'  
    Set pupil diameter = 4 l? #xAZx&_  
    DONE! -6Tk<W  
     
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