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    [分享]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: 2020-12-09
    简介 1'Rmg\(  
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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。 <( EyXV  
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    模型 f@d9Hqr+l;  
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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。 &I/qG`W  
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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. Da_()e[9p  
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    光源 - {{[cT I  
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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。 |>+uw|LtZ  
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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。 '3Q3lM'lh  
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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。 #]Y*0Wzpfn  
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    图2. 字母F光源的设定方法光 {v,)G)obWw  
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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 [>Fm [5x  
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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。 Z h'&-c_J  
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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。 J=H)JH3  
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    图5. 视网膜重点采样规格设定
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    脚本 -6C +LbV  
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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: d5!!Ut  
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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。 fY W|p<Q0  
    余下的脚本计算与屈光度有关的所有参数。 e.vtEQV9  
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    分析 mYv(R!37'  
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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。 0xMj=3']  
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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 5kMWW*Xtf  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. |FNCXlgZ  
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    Dim entity As T_ENTITY K7(MD1tk  
    Dim op As T_OPERATION l "pN90B4  
    Dim mat As T_MODELMATERIAL ;_+uSalt  
    Dim A As Double l=={pb  
    Dim pupilDiam As Double MesRa(  
    Dim eID As Long qJv[MBjk3B  
    Dim parID As Long \ |!\V  
    Dim count As Integer ))T>jh   
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double #R&H &1  
    Dim tlens As Double, nlens As Double 8P: spD0  
    Dim curv As Double, conic As Double wCKj7y[  
    Dim ok As Long PK2~fJB  
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    Sub Main .~D>5 JnEk  
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        '用户输入对话框 `V!>J 1x  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 B80aw>M  
            TextBox 220,21,40,21,.TextBox1 'default: 0 >U!*y4  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 } cNW^4F  
            OKButton 40,91,90,21 7 hw .B'7  
            CancelButton 190,91,90,21 l*=aMjd?  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 N{Qxq>6 G  
            TextBox 220,49,40,21,.TextBox2 'default: 4 ip:LcGt  
        End Dialog *_-'/i  
        Dim dlg As UserDialog <V&5P3)d9  
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        ok = Dialog (dlg) iCQ>@P]nE  
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        If ok=0 Then    'cancel button was pressed ,xi({{L*  
            Print "Execution cancelled." ]uh3R{a/  
            End `BXS)xj  
        End If R9o-`Wz  
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        'Assign accommodation and pupil diameter & use defaults if field left empty Xyx"A(v^l  
        If dlg.TextBox1 = "" Then l.=p8-/$'7  
            A = 0           'Default accommodation N_gD>6I  
        Else | A)\ :  
            A = CDbl(dlg.TextBox1) ^TdZ*($5  
        End If e":G*2a  
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        If dlg.TextBox2 = "" Then *%FA:Y  
            pupilDiam = 4   'Default pupil diameter gE7L L=x  
        Else x!< yT?A  
            pupilDiam = CDbl(dlg.TextBox2) zw@'vncc  
        End If EG<s_d?  
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        Print " " X` YwP/D  
        Print "Accommodation = " & A & " Diopters" 8{ c!).  
        Print "Pupil Diameter = " & pupilDiam & " mm" HLK@xKD<  
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        ' Calculate new parameters with accommodation t#E}NR  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness fxQN+6;  
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        Rant = 12.0 - 0.4*A                     'Radius of anterior lens A<MtKb  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens H*I4xT@  
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        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens Am4lEvb  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens %eWqQ3{P]  
    ))h6~1`  
        tlens = 3.767 + 0.04*A                  'Lens thickness <yUstz,Xu^  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction ~aK?cP  
    [\z/Lbn ,.  
        'Adjust parameters to account for accommodation e /K#>,  
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        '************************************************************************* 2'0K WYM  
        'Aqueous thickness (Position of Lens) NZLAk~R;0  
        '************************************************************************* kSncZ0K{  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) R!\EK H  
        GetCustomElement eID, entity \_6OCVil  
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        parID = FindFullName( "Geometry.Arizona Eye" ) j7QX ,_Q  
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        ' Delete any shift(s) in z (=x"Y{%  
        count = 0 / +K?  
        While GetOperationCount(eID)>count \E1U@6a  
            GetOperation eID, count, op je,}_:7  
            If op.Type="ShiftZ" Then %q 3$|>  
                DeleteOperation eID,count p*QKK@C  
                count=count-1 d I'SwnR  
            End If CB\{!  
            count=count+1 }ut]\]b  
        Wend 7*o*6,/  
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        'Set new shift in YvL?j  
        op.Type = "ShiftZ" z9/G4^qF  
        op.val1 = taq 9=l.T/?sf  
        op.parent = parID R[tC^]ai  
        AddOperation eID, op Dr<='Ux[5  
        Print "Set aqueous humor thickness = " & taq-0.55 \*T"M*;  
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        '************************************************************************* UPU+ver  
        'Radius and conic constant of anterior lens >TL^>D  
        '************************************************************************* Tb;d.^  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) 5f'DoT  
        GetConic eID, entity, curv, conic ;!>Wz9  
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        SetConic eID, entity, 1/Rant, CCant ='?:z2lJ  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant oih5B<&f#  
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        '************************************************************************* xg`h40c  
        'Radius and conic constant of posterior lens q Dd~2"er  
        '************************************************************************* Nil}js27  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) b p<^R  
        GetConic eID, entity, curv, conic |`k .y]9  
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        SetConic eID, entity, 1/Rpost, CCpost pE]?x $5U  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost % ~ ]xuP[  
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        '************************************************************************* `1` f*d v  
        'Lens thickness (Position of posterior lens surface) g:ErZ;[  
        '************************************************************************* ~!iQ6N?PY  
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        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) ~^I> #Dd  
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        ' Delete any z-shift(s) rsNf$v-*  
        count = 0 9W7#u}Z  
        While GetOperationCount(eID)>count D0G-5}s`  
            GetOperation eID, count, op %u\26[/  
            If op.Type="ShiftZ" Then +%>:0mT  
                DeleteOperation eID,count 9v )%dO.  
                count=count-1 %y[1H5)3<  
            End If WKM)*@#,  
            count=count+1 . 9G<y 4  
        Wend .\3`2  
    eJ8]g49mD6  
        'Set new z-shift * A|-KKo\  
        op.Type = "ShiftZ" 10[Jl5+t  
        op.val1 = tlens [s1pM1x  
        op.parent = parID Z,7R;,qX  
        AddOperation eID, op Cr/`keR  
        Print "Set lens thickness = " & tlens DC+wD Bp;  
    FN[R(SLbL  
        '************************************************************************* -<_$m6x"A  
        'Lens index of refraction 's x\P[a  
        '************************************************************************* we7c`1E  
        eID = FindMaterial( "Lens" ) KU9Z"9#  
        GetModelMaterial eID, mat XkmQBV"  
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        mat.Nd = nlens ,1{Ep`  
        SetModelMaterial eID, mat h&@R| N  
        Print "Set lens index of refraction = " & nlens ]uL +&(cr  
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        '************************************************************************* V,v[y\  
        'Pupil diameter #.B"q:CW*P  
        '************************************************************************* 4pU>x$3$  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) )U<Y0bZA!  
    a?5[k}\  
        'Adjust pupil diameter (trimming volume inner hole) 7Du1RuxP  
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        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" kdx y\ jA  
    %bXtKhg5eJ  
        ' Adjust pupil location to just in front of the lens ?/*~;fM  
        parID = FindFullName( "Geometry.Arizona Eye" ) 1M3% fW  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) qf)$$qi  
        count = 0 Wo$%9!W  
        While GetOperationCount(eID)>count Ei>m0 ~<\  
            GetOperation eID, count, op H( ^bC5'  
            If op.Type="ShiftZ" Then %i0?UpA  
                DeleteOperation eID,count Br>Fpe$q4  
                count=count-1 36m5bYMd)  
            End If xgsjm) )  
            count=count+1 SU_SU".  
        Wend gieJ}Bv  
        op.Type = "ShiftZ" :7N3N  
        op.val1 = taq-0.01 }f>H\iJe  
        op.parent = parID $WQq? 1.9  
        AddOperation eID, op cFd > oDS  
    %!Q`e79g8  
        Print "Set pupil diameter = " & pupilDiam <msxHw  
    2i#Sn'1  
        'Update AZ Eye subassembly Description G`=r^$.3WB  
        eID = FindFullName( "Geometry.Arizona Eye" ) w>?Un,K  
        GetEntity eID, entity -5G)?J/*  
        entity.Description = "Accommodation = " & A & "D" OU DcY@x~  
        SetEntity eID, entity H%f:K2  
    IputF<p  
        Update Pj#'}ru!  
        Print "DONE!" %rKK[  
         vW,snxK6y&  
    End Sub 5m$2Ku  
    >"X\>M`"  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: Ac k}QzXO  
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    Accommodation = 4 Diopters [Bb utGvj  
    Pupil Diameter = 4 mm c2SC|s]  
    Set aqueous humor thickness = 2.81 U4?(A@z9^  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 Doze8pn  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 +';>=hha  
    Set lens thickness = 3.927 {0\,0*^p  
    Set lens index of refraction = 1.42672 Z-=YM P ]Q  
    Set pupil diameter = 4 kQdt}o])  
    DONE! V) o,1  
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    QQ:2987619807 vy@rQC %9  
     
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