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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 tHZ"o!(S  
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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。 zIjfx K  
    10 *Tk 8  
    模型 x5BS|3W$a  
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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。 jYRSV7d  
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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. =2Yt[8';  
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    光源 +KIz#uqF8Z  
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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。 A#T"4'#?<  
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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。 k1f<(@*`  
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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。 0P9\;!Y  
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    图2. 字母F光源的设定方法光 u@#%SX  
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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 A+* lV*@0  
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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。 Yr_ B(n  
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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。 !~~KM?g  
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    图5. 视网膜重点采样规格设定
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    脚本 A'z]?xQR  
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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: y1%OH#:duD  
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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。 ;P)oKx  
    余下的脚本计算与屈光度有关的所有参数。 rCDt9o>  
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    分析 2[+.* Ef  
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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。 'sUOi7U  
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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 ";rXCH.  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. m_/U  t  
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    Dim entity As T_ENTITY L.'61ZU  
    Dim op As T_OPERATION z Fm`e:td  
    Dim mat As T_MODELMATERIAL k37?NoT  
    Dim A As Double ^t4^gcoZ4Z  
    Dim pupilDiam As Double wz`% ( \  
    Dim eID As Long V*\hGNV  
    Dim parID As Long 1cOR?=G~  
    Dim count As Integer DfAF-Yhut  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double tJ;qZyy(  
    Dim tlens As Double, nlens As Double Sz Mh  
    Dim curv As Double, conic As Double 5`p9Xo>)yW  
    Dim ok As Long j_so s%-  
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    Sub Main J"AR3b@,$?  
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        '用户输入对话框 rt*x[5<  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 Bu=1-8@=qs  
            TextBox 220,21,40,21,.TextBox1 'default: 0 xS1n,gTA  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 )v;O2z  
            OKButton 40,91,90,21 I+kAy;2  
            CancelButton 190,91,90,21 K-k!':K:  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 ulsU~WW7r  
            TextBox 220,49,40,21,.TextBox2 'default: 4 % vUU Fub  
        End Dialog 3!p`5hJd  
        Dim dlg As UserDialog 3F|p8zPS  
    !} h) |  
        ok = Dialog (dlg) \bdKLcKI,  
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        If ok=0 Then    'cancel button was pressed c_vGr55  
            Print "Execution cancelled." jyIIE7.I"  
            End 9Q,>I6`l  
        End If ?]D&D:Z?I  
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        'Assign accommodation and pupil diameter & use defaults if field left empty 4O-LLH  
        If dlg.TextBox1 = "" Then 5oG~Fc  
            A = 0           'Default accommodation Uwkxc  
        Else /.e7#-+?  
            A = CDbl(dlg.TextBox1) @!OXLM   
        End If D{JjSky  
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        If dlg.TextBox2 = "" Then o~XK*f=(  
            pupilDiam = 4   'Default pupil diameter D-{*3?x  
        Else 4ekwmw(ox  
            pupilDiam = CDbl(dlg.TextBox2) ZJ%NZAxy  
        End If C,+  
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        Print " " 0~U%csPHt  
        Print "Accommodation = " & A & " Diopters" W2X`%Tx0  
        Print "Pupil Diameter = " & pupilDiam & " mm" 'zm5wqrkAd  
    :^kAFLU  
        ' Calculate new parameters with accommodation 7vZO;FGtG  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness Dazm8_x  
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        Rant = 12.0 - 0.4*A                     'Radius of anterior lens v Z]j%c@  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens f%EHzm/V  
    %@C8EFl%3  
        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens @Pcgm"H<  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens 1J9p1_d5  
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        tlens = 3.767 + 0.04*A                  'Lens thickness TXi|  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction %/I:r7UR{  
    i FZGfar?  
        'Adjust parameters to account for accommodation LA;f,CQ  
    Ct-eD-X{  
        '************************************************************************* AI3x,rk#  
        'Aqueous thickness (Position of Lens) 7_oUuNw  
        '************************************************************************* ({rcH.:  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) j.]]VA  
        GetCustomElement eID, entity sPQj B[  
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        parID = FindFullName( "Geometry.Arizona Eye" ) w? _8OJ  
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        ' Delete any shift(s) in z z` 6$p1U  
        count = 0 :N<Qk  
        While GetOperationCount(eID)>count ~v(c9I)  
            GetOperation eID, count, op X(/fE?%;  
            If op.Type="ShiftZ" Then 6V$ )ym*F  
                DeleteOperation eID,count nmiJ2edx  
                count=count-1 .pPuBJL]<  
            End If 2 %fcDEG/  
            count=count+1 p7> 9 m  
        Wend +#wVe  
    s~Ivq+ipr;  
        'Set new shift in Kkq-x'gt^  
        op.Type = "ShiftZ" 3\RD %[}  
        op.val1 = taq 7HW:;2dL  
        op.parent = parID (.=Y_g.  
        AddOperation eID, op v CsE|eMP  
        Print "Set aqueous humor thickness = " & taq-0.55 y2+f)Xp_.C  
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        '************************************************************************* O$,  
        'Radius and conic constant of anterior lens F#|y,<}<  
        '************************************************************************* T P#Ncqh  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) g8E5"jpXx3  
        GetConic eID, entity, curv, conic pBe1:  
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        SetConic eID, entity, 1/Rant, CCant `scW.Vem  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant sT1k]duT  
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        '************************************************************************* nmn/4>  
        'Radius and conic constant of posterior lens {f/]K GGk  
        '************************************************************************* #akJhy@m$  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) @$kO7k0{g  
        GetConic eID, entity, curv, conic T"htWo{v>  
    8 !:2:  
        SetConic eID, entity, 1/Rpost, CCpost [ p,]/ ^ N  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost ??e|ec2%  
    %|+aI?  
        '************************************************************************* 8Y8bFWuc  
        'Lens thickness (Position of posterior lens surface) )6%*=-  
        '************************************************************************* #f(tzPD  
    ;/V])4=  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) ~6t<`&f  
    V?yQm4  
        ' Delete any z-shift(s) H.iCYD_=  
        count = 0  g4q{ ]  
        While GetOperationCount(eID)>count vbJdhaf  
            GetOperation eID, count, op #QsJr_=  
            If op.Type="ShiftZ" Then xKBi".wA  
                DeleteOperation eID,count o% Q7 el$f  
                count=count-1 R%r25_8  
            End If v(Kj6'  
            count=count+1 M^\`~{*T  
        Wend Q1*_l  
    ~rI2 RJ  
        'Set new z-shift lFf>z}eLy  
        op.Type = "ShiftZ" LsI@_,XW<  
        op.val1 = tlens 9[\do@  
        op.parent = parID ';\norx;  
        AddOperation eID, op =/j!S|P  
        Print "Set lens thickness = " & tlens g:~q&b[q6  
    {~]5QKg.  
        '************************************************************************* &Oz  
        'Lens index of refraction @VHstjos^V  
        '************************************************************************* 6K7lQ!#}Q  
        eID = FindMaterial( "Lens" ) sa<\nH$_X  
        GetModelMaterial eID, mat #l+Rs3T:  
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        mat.Nd = nlens ?/T=G k  
        SetModelMaterial eID, mat zk3\v "  
        Print "Set lens index of refraction = " & nlens oH4zW5  
    )%p46(]  
        '************************************************************************* Ha]vG@?+  
        'Pupil diameter ~G8l1dD  
        '************************************************************************* /m>SEo\{C  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) ?`Mk$Y%my  
    lmUCrs37  
        'Adjust pupil diameter (trimming volume inner hole) \2~\c#-k  
    c1i[1x%  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" ~C>;0a;<:  
    S['%>  
        ' Adjust pupil location to just in front of the lens <]z4;~/&  
        parID = FindFullName( "Geometry.Arizona Eye" ) *qL'WrB1  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) dm_Pz\ *  
        count = 0 4W2.K0Ca  
        While GetOperationCount(eID)>count v1+.-hO  
            GetOperation eID, count, op )mAD<y+  
            If op.Type="ShiftZ" Then [oBRH]9cq  
                DeleteOperation eID,count mHW%^R=  
                count=count-1 F5H*z\/={  
            End If T>*G1-J#  
            count=count+1 5cM%PYU4:v  
        Wend GNwFB)?j  
        op.Type = "ShiftZ" sqF.,A,  
        op.val1 = taq-0.01 %*<Wf4P"  
        op.parent = parID OcpvY~"Pr  
        AddOperation eID, op &xUCXj2-z  
    =B+dhZ+#S$  
        Print "Set pupil diameter = " & pupilDiam je#LD  
    Hr]  
        'Update AZ Eye subassembly Description ]X7_ji(l,  
        eID = FindFullName( "Geometry.Arizona Eye" ) QTF1~A\  
        GetEntity eID, entity *'-C/  
        entity.Description = "Accommodation = " & A & "D" $z)egh(z  
        SetEntity eID, entity 3qu?qD  
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        Update < fe.  
        Print "DONE!" Ed;!A(64r  
         5>e<|@2 X  
    End Sub 6 3PV R"  
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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: n/BoK6g  
    bx6=LK  
    Accommodation = 4 Diopters H,EZ% Gl  
    Pupil Diameter = 4 mm pwSkwJ]  
    Set aqueous humor thickness = 2.81 )eSQce7H  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 2RqV\Jik  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 mo4F\$2N  
    Set lens thickness = 3.927 S}Z@g  
    Set lens index of refraction = 1.42672 R vU'8Y?>w  
    Set pupil diameter = 4 .bV^u  
    DONE! i(e=  
     
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