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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 [jx0-3s:X  
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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。 "+"{+k5t  
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    模型 ~IVd vm7  
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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。 -!qu"A:  
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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. hi =XYC,  
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    光源 ^[:9fs  
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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。 ?q2j3e[>  
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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。 $Byj}^;1  
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    在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。  84zTCX  
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    图2. 字母F光源的设定方法光 5vzceQE}  
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    图3. 字母F在视网膜上位置点列图
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    视网膜的散射 FaTa(3$%  
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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。 }Y(]6$uS  
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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。 w^k;D,h  
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    图5. 视网膜重点采样规格设定
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    脚本 -a Gcf]6  
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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: '&O/g<Z}q  
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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。 YKZrEP 4^  
    余下的脚本计算与屈光度有关的所有参数。 ivgpS5 M`Y  
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    分析 *="8?Z  
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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。 v <\A%  
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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 +Z2MIC|Ud  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. DH DZ_t:  
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    Dim entity As T_ENTITY z7.|fE)<6  
    Dim op As T_OPERATION EY`H}S!xy  
    Dim mat As T_MODELMATERIAL jg  2qGC  
    Dim A As Double 7DW]JK l  
    Dim pupilDiam As Double pqM~l&  
    Dim eID As Long s}&bJ"!Z  
    Dim parID As Long m^%|ZTrwN7  
    Dim count As Integer Z{IUy  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double NW|f7 ItX  
    Dim tlens As Double, nlens As Double QlFZO4 P3|  
    Dim curv As Double, conic As Double <BWkUZz\P|  
    Dim ok As Long rR ES8/  
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    Sub Main Mkp/0|Q*  
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        '用户输入对话框 <O?y-$~  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 FFhtj(hVgc  
            TextBox 220,21,40,21,.TextBox1 'default: 0 ;wiao(t>4N  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 1PaUI#X"2F  
            OKButton 40,91,90,21 ^da44Qqu  
            CancelButton 190,91,90,21 HC {XX>F^  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 A|#`k{+1-  
            TextBox 220,49,40,21,.TextBox2 'default: 4 5\mTr)\R  
        End Dialog C;AA/4Ib  
        Dim dlg As UserDialog X#xFFDzN  
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        ok = Dialog (dlg) pi(-A  
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        If ok=0 Then    'cancel button was pressed js^ ,(CS  
            Print "Execution cancelled." A % Q!^d  
            End [@ <sFP;g  
        End If Op.8a`XLt&  
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        'Assign accommodation and pupil diameter & use defaults if field left empty 05Fz@31~  
        If dlg.TextBox1 = "" Then VO3pm6r5  
            A = 0           'Default accommodation d|9b~_::V  
        Else JE 5  
            A = CDbl(dlg.TextBox1) $lIWd  
        End If H?1xjY9sl  
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        If dlg.TextBox2 = "" Then I-D^>\k+  
            pupilDiam = 4   'Default pupil diameter zo{/'BnU  
        Else I:&/`K4,x,  
            pupilDiam = CDbl(dlg.TextBox2) 4nfu6Dq  
        End If +.B<Hd  
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        Print " " P`4]-5gE  
        Print "Accommodation = " & A & " Diopters" Z#d&|5Xj  
        Print "Pupil Diameter = " & pupilDiam & " mm" zr v]  
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        ' Calculate new parameters with accommodation h!@|RW&}qX  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness mM.*b@d-  
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        Rant = 12.0 - 0.4*A                     'Radius of anterior lens j*@l"V>~  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens 2Q7R6*<N:  
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        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens <oKGD50#  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens #v#<itfFH  
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        tlens = 3.767 + 0.04*A                  'Lens thickness }UJv[  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction e<7.y#L  
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        'Adjust parameters to account for accommodation ]=rht9),"  
    'AGto'Yy;  
        '************************************************************************* 1Q;}z Hd  
        'Aqueous thickness (Position of Lens) z't? ?6  
        '************************************************************************* 9 Gy  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) 4!Z5og1kn  
        GetCustomElement eID, entity "]'?a$\ky:  
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        parID = FindFullName( "Geometry.Arizona Eye" ) -\ZcOXpMx=  
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        ' Delete any shift(s) in z r0t^g9K0  
        count = 0 y4Z &@,_{  
        While GetOperationCount(eID)>count mE O \r|A  
            GetOperation eID, count, op o56`  
            If op.Type="ShiftZ" Then n8=5-7UT  
                DeleteOperation eID,count T lAR.cV  
                count=count-1 Xdi:1wW@p  
            End If c0c|z Ym  
            count=count+1 d\MLOXnLq;  
        Wend WH ?}~u9  
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        'Set new shift in !g~1&Uw1  
        op.Type = "ShiftZ" ~AY N  
        op.val1 = taq a8u 9aEB  
        op.parent = parID :.(;<b<\  
        AddOperation eID, op ?1L.:CS  
        Print "Set aqueous humor thickness = " & taq-0.55 GWsE;  
    M)*\a/6?{  
        '************************************************************************* 4${jr\q]  
        'Radius and conic constant of anterior lens V$0dtvGvH  
        '************************************************************************* (npj_s!.C)  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) .)1_Ew  
        GetConic eID, entity, curv, conic tqAd$:L  
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        SetConic eID, entity, 1/Rant, CCant hLJM%on  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant }(a+aHH  
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        '************************************************************************* 6s,uXn  
        'Radius and conic constant of posterior lens a{!QOX%K  
        '************************************************************************* PFUO8>!pA\  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) GdB.4s^  
        GetConic eID, entity, curv, conic VxP&j0M>  
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        SetConic eID, entity, 1/Rpost, CCpost V)Z70J <'  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost EM>}0V  
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        '************************************************************************* I%|>2}-_U  
        'Lens thickness (Position of posterior lens surface)  mw_Ew]&  
        '************************************************************************* Y|8v O  
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        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) Z*G(5SqUh"  
    imQUR C  
        ' Delete any z-shift(s) (E,T#uc{  
        count = 0 R+g z<H.Q  
        While GetOperationCount(eID)>count B?VhIP e  
            GetOperation eID, count, op dEBcfya  
            If op.Type="ShiftZ" Then oJ#,XMKga  
                DeleteOperation eID,count |t$Ma'P  
                count=count-1 Zmbfq8K  
            End If .q+0pj  
            count=count+1 CctJFcEZ  
        Wend &A#~)i5gF  
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        'Set new z-shift `1:{0p2q  
        op.Type = "ShiftZ" (EPsTox  
        op.val1 = tlens lKk/p^:  
        op.parent = parID ? ` SUQm  
        AddOperation eID, op `y#UJYXQE  
        Print "Set lens thickness = " & tlens d1[ZHio2c?  
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        '************************************************************************* s3Cc;#  
        'Lens index of refraction UMX@7a,[3  
        '************************************************************************* 0M\D[ mg  
        eID = FindMaterial( "Lens" ) r1RGTEkD  
        GetModelMaterial eID, mat !3T&4t  
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        mat.Nd = nlens G "P4-  
        SetModelMaterial eID, mat ybp -$e  
        Print "Set lens index of refraction = " & nlens iQ{G(^sZN  
    &/,|+U[  
        '************************************************************************* r'gOVi4t1*  
        'Pupil diameter Z|}G6]h  
        '************************************************************************* `~eUee3b.~  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) |7x\m t  
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        'Adjust pupil diameter (trimming volume inner hole) I%urz!CNE*  
    B=|cS;bM$3  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" e{Z &d  
    7gRgOzWfV  
        ' Adjust pupil location to just in front of the lens 1;VHM'  
        parID = FindFullName( "Geometry.Arizona Eye" ) $.]l!cmi%Q  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) Ar~"R4!  
        count = 0 ]l8^KX'  
        While GetOperationCount(eID)>count -W>'^1cR  
            GetOperation eID, count, op b86}% FM  
            If op.Type="ShiftZ" Then F2X0%te  
                DeleteOperation eID,count Z0l+1iMx  
                count=count-1 ?6'rBH/w  
            End If [=~pe|8:  
            count=count+1 #:SNHM^><  
        Wend _UuC,Pl3  
        op.Type = "ShiftZ" 47J5oPT2'  
        op.val1 = taq-0.01 7`u$  
        op.parent = parID v0L\0&+  
        AddOperation eID, op 4*$G & TX  
    ->N8#XH2=  
        Print "Set pupil diameter = " & pupilDiam NO :a;  
    W^"AU;^V56  
        'Update AZ Eye subassembly Description m8.U &0  
        eID = FindFullName( "Geometry.Arizona Eye" ) y+7PwBo%e  
        GetEntity eID, entity <tioJG{OT  
        entity.Description = "Accommodation = " & A & "D" u]OW8rc  
        SetEntity eID, entity ~g.$|^,.O/  
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        Update :,)lm.}]t  
        Print "DONE!" ({o'd=nO  
         p) +k=b  
    End Sub /&4U6a  
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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: 0V?F'<qy  
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    Accommodation = 4 Diopters K<>sOWZ'S  
    Pupil Diameter = 4 mm {p,]oOq\  
    Set aqueous humor thickness = 2.81 \QB;Ja _  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 0 iJue &  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 33}oO,}t,  
    Set lens thickness = 3.927 C`q@X(_   
    Set lens index of refraction = 1.42672 A~mum+[5  
    Set pupil diameter = 4 G+F: 99A  
    DONE! sq'Pyz[[  
     
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