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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 )!=X?fz,O  
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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。 kSjvY&n%  
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    模型 4{ED~w|  
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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。 W!b'nRkq  
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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. \|R\pS}4  
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    光源 7k#0EhN1>  
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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。 s[u*~A  
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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。 BBRZlx  
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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。  ^J& }C  
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    图2. 字母F光源的设定方法光 O?qM=W  
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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 tx}=c5  
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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。 *XluVochrb  
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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。 c #8@>;  
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    图5. 视网膜重点采样规格设定
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    脚本 /*m6-DC  
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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: 2%~+c|TH.)  
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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。 XOPiwrg%p  
    余下的脚本计算与屈光度有关的所有参数。 kFQx7m  
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    分析 QT[4\)  
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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。 \kC'y9k  
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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 He}"e&K  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. F&D ,y-CQ  
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    Dim entity As T_ENTITY :Oi}X7\  
    Dim op As T_OPERATION B1z7r0Rm,  
    Dim mat As T_MODELMATERIAL eY3<LVAX  
    Dim A As Double 4+F@BxpB  
    Dim pupilDiam As Double C@9K`N[*  
    Dim eID As Long !>6`+$=U  
    Dim parID As Long !s[ gv1  
    Dim count As Integer km6O3> p5r  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double qDjH^f  
    Dim tlens As Double, nlens As Double G( #EW+  
    Dim curv As Double, conic As Double sxPvi0>  
    Dim ok As Long ` 6pz9j]  
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    Sub Main a#+;BH 1  
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        '用户输入对话框 e J:#vX86  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 DN|+d{^lN  
            TextBox 220,21,40,21,.TextBox1 'default: 0 Nd**":i$  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 c"NGE  
            OKButton 40,91,90,21 @Qd5a(5WM  
            CancelButton 190,91,90,21 -z>m]YDH  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 cp4~`X  
            TextBox 220,49,40,21,.TextBox2 'default: 4 ,-1d2y  
        End Dialog ^[1Xl7)`  
        Dim dlg As UserDialog MG3xX;  
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        ok = Dialog (dlg) "tmr s_~  
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        If ok=0 Then    'cancel button was pressed L^L.;1  
            Print "Execution cancelled." j/hm)*\io  
            End K9S(Xip  
        End If JUTlJyx8  
    ^*WO*f>y  
        'Assign accommodation and pupil diameter & use defaults if field left empty gX/?  
        If dlg.TextBox1 = "" Then 0t)5KO  
            A = 0           'Default accommodation j]6YLM@5$  
        Else z<8WN[fB  
            A = CDbl(dlg.TextBox1) 10m`LG  
        End If CjLiLB  
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        If dlg.TextBox2 = "" Then [V41 Gk  
            pupilDiam = 4   'Default pupil diameter ~oeX0l>F  
        Else c1g'l.XL 3  
            pupilDiam = CDbl(dlg.TextBox2) 2.&%mSN  
        End If k<%y+v  
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        Print " " Gvc/o$_  
        Print "Accommodation = " & A & " Diopters" `&SBp }W}  
        Print "Pupil Diameter = " & pupilDiam & " mm" *%2,= p  
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        ' Calculate new parameters with accommodation ,ydn]0SS  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness /^,/o  
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        Rant = 12.0 - 0.4*A                     'Radius of anterior lens I6[=tB  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens *NQsD C.J^  
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        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens Z xR  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens LO)p2[5#R  
    .a}!!\@  
        tlens = 3.767 + 0.04*A                  'Lens thickness (sEZNo5n  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction 10r9sR  
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        'Adjust parameters to account for accommodation +aRHMH  
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        '************************************************************************* i{k v$ir!  
        'Aqueous thickness (Position of Lens) QE`u~  
        '************************************************************************* %?!TqJT?{  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) l"9$lF}  
        GetCustomElement eID, entity -FQS5Zb.!  
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        parID = FindFullName( "Geometry.Arizona Eye" ) 5} 1qo7;  
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        ' Delete any shift(s) in z CMHg]la  
        count = 0 0]l9x}  
        While GetOperationCount(eID)>count t&rr;W]  
            GetOperation eID, count, op h($Jo  
            If op.Type="ShiftZ" Then #v:A-u  
                DeleteOperation eID,count <}1GYeP  
                count=count-1 l#|M.V6G  
            End If | @p  
            count=count+1 Px?0)^"2  
        Wend 2G }@s.iE  
    . "`f~s\G  
        'Set new shift in G3de<?K.[V  
        op.Type = "ShiftZ" AI3\eH+  
        op.val1 = taq c.h_&~0qf  
        op.parent = parID $TavvO%#  
        AddOperation eID, op pcPRkYT[ M  
        Print "Set aqueous humor thickness = " & taq-0.55 $>=w<=r|;  
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        '************************************************************************* Y,d|b V*FH  
        'Radius and conic constant of anterior lens o.>Yj)U  
        '************************************************************************* PsI{y&.  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) KZwzQ"Hl  
        GetConic eID, entity, curv, conic ^tl&FWF  
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        SetConic eID, entity, 1/Rant, CCant &%@>S.  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant A9M/n^61  
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        '************************************************************************* DWu~%U8  
        'Radius and conic constant of posterior lens q4ej7T8  
        '************************************************************************* qgsw8O&  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) s:Z1 ZAxv  
        GetConic eID, entity, curv, conic u|\K kk  
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        SetConic eID, entity, 1/Rpost, CCpost No(S#,vJ;  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost mcSZ1d~,(  
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        '************************************************************************* ^j]"5@f  
        'Lens thickness (Position of posterior lens surface) =8x-+u5}rK  
        '************************************************************************* ]8EkZC  
    |sV@j_TX  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) ((tWgSZ3  
    q@iZo,Yk  
        ' Delete any z-shift(s) *uMtl'  
        count = 0 lK #~lC  
        While GetOperationCount(eID)>count 2T}FX4'  
            GetOperation eID, count, op Z n]e2  
            If op.Type="ShiftZ" Then a|@1RH>7H  
                DeleteOperation eID,count WvHy}1W  
                count=count-1 <^B!.zQ  
            End If JL&ni]m  
            count=count+1 dF0:'y  
        Wend jX 6+~  
    $ iU~p  
        'Set new z-shift "aeKrMgc6V  
        op.Type = "ShiftZ" ? p^':@=  
        op.val1 = tlens &6@e9ff0  
        op.parent = parID }}~ t! /x  
        AddOperation eID, op p|R]/C0f  
        Print "Set lens thickness = " & tlens DqlspT  
    {$^Lb4O[V  
        '************************************************************************* wq`\p['Q,  
        'Lens index of refraction 'C\knQ  
        '************************************************************************* bL18G(5  
        eID = FindMaterial( "Lens" ) D_Cd^;b  
        GetModelMaterial eID, mat C$fQ[@  
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        mat.Nd = nlens 4p_@f^v~QH  
        SetModelMaterial eID, mat [[d@P%X&  
        Print "Set lens index of refraction = " & nlens E 9n7P'8  
    &1,qC,:!  
        '************************************************************************* 3W}xYYs] ^  
        'Pupil diameter Wy,Tf*[  
        '************************************************************************* vCtag]H2@  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) Sh RkL<  
    h5R5FzY0&  
        'Adjust pupil diameter (trimming volume inner hole) NuKx{y}P  
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        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" OL)M`eVQ'  
    b-,]21  
        ' Adjust pupil location to just in front of the lens h;sdm/  
        parID = FindFullName( "Geometry.Arizona Eye" ) B|n<{g[-cM  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) 'Z(4Wuwb  
        count = 0 9:jZ3U  
        While GetOperationCount(eID)>count \m;"KyP+  
            GetOperation eID, count, op [!E~pW%|n  
            If op.Type="ShiftZ" Then *FEY"W+bY  
                DeleteOperation eID,count >VWH bo  
                count=count-1 haMt2S2_B:  
            End If dLI`\e<r&[  
            count=count+1 _w>9Z>PR  
        Wend J#'+&D H  
        op.Type = "ShiftZ" Gr?[s'Ze  
        op.val1 = taq-0.01 1ssEJ; #s  
        op.parent = parID h *-j  
        AddOperation eID, op fr<, LC.  
    [{!5{k!  
        Print "Set pupil diameter = " & pupilDiam A1,- qv1s  
    m]NyEMYg  
        'Update AZ Eye subassembly Description bbO1`b-  
        eID = FindFullName( "Geometry.Arizona Eye" ) B?tO&$s  
        GetEntity eID, entity y-c2tF@'v  
        entity.Description = "Accommodation = " & A & "D" 7T3ub3\  
        SetEntity eID, entity /^z5;aG  
    *qm@;!C  
        Update saaN$tU7  
        Print "DONE!" /N&)r wc  
         <C9_5C e~  
    End Sub Hc{0O7  
    )gR !G]Y  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: ;eRYgC  
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    Accommodation = 4 Diopters 7}<05 7Xn'  
    Pupil Diameter = 4 mm 9}2E+  
    Set aqueous humor thickness = 2.81 *0`oFTJ  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 4W''j[Y/  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 Ih.6"ISK}  
    Set lens thickness = 3.927 a jCx"J  
    Set lens index of refraction = 1.42672 ;9hi2_luV  
    Set pupil diameter = 4 C%csQ m  
    DONE! DEw_dOJ(  
     
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