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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 1<$z-y'  
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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。 u3])_oj=  
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    模型 (^9dp[2  
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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。 D !5 {CQl  
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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. L1u(\zw  
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    光源 o~tL;(sz  
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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。 #-9@*FFL,  
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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。 CaqqH`/E4  
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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。 LR Dj!{k{  
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    图2. 字母F光源的设定方法光 rLx'.:  
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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 cd:VFjT  
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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。 }Sv\$h  
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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。 E)]RQ~jY?  
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    图5. 视网膜重点采样规格设定
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    脚本 m 7/b.B}  
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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: J*m ~fZ^  
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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。 dO|n[/qL0  
    余下的脚本计算与屈光度有关的所有参数。 W}rLHAaDh  
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    分析 /`VrV{\/!  
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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。 H-5h-p k  
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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 h7cE"m  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. @D7/u88|  
    DE!P[$J  
    Dim entity As T_ENTITY -PLh|  
    Dim op As T_OPERATION j5V{,lf  
    Dim mat As T_MODELMATERIAL 1y7FvD~v  
    Dim A As Double TDZ p1zpXb  
    Dim pupilDiam As Double {RHa1wc  
    Dim eID As Long  MKZq*  
    Dim parID As Long :BpXi|n;  
    Dim count As Integer 3"p'WZ>  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double (Qj;B)  
    Dim tlens As Double, nlens As Double *rv7#!].  
    Dim curv As Double, conic As Double !X ={a{<,T  
    Dim ok As Long !G~`5?CvE  
    7Kn}KO!Y8  
    Sub Main L#Rj~&U  
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        '用户输入对话框 xa$4P [  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 S- JD}+ 9  
            TextBox 220,21,40,21,.TextBox1 'default: 0 W~d^ *LZt  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 Tjj-8cg  
            OKButton 40,91,90,21 zp:EssO=Q  
            CancelButton 190,91,90,21 $3yn-'o'A  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 (%SKTM  
            TextBox 220,49,40,21,.TextBox2 'default: 4 X^7n/|%*.  
        End Dialog :[!b";pR  
        Dim dlg As UserDialog ` 3h,Cy^  
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        ok = Dialog (dlg) , ^@z;xF  
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        If ok=0 Then    'cancel button was pressed m)e~HP7M  
            Print "Execution cancelled." uQO\vRh0  
            End CC|=$(PgT  
        End If Ob@HzXH  
    UIK4]cYC'  
        'Assign accommodation and pupil diameter & use defaults if field left empty ~w"e 2a  
        If dlg.TextBox1 = "" Then wrAcVR  
            A = 0           'Default accommodation RKD$'UWX  
        Else e1Bqd+  
            A = CDbl(dlg.TextBox1) JGQ)/(  
        End If %z"n}|%!  
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        If dlg.TextBox2 = "" Then \vF*n Z5/  
            pupilDiam = 4   'Default pupil diameter ~%QI#s?|  
        Else !;M5.Y1j&"  
            pupilDiam = CDbl(dlg.TextBox2) Eu`K2_b  
        End If O[15x H,  
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        Print " " H/$oGhvl  
        Print "Accommodation = " & A & " Diopters" I;+>@Cn(g<  
        Print "Pupil Diameter = " & pupilDiam & " mm" |DLmMsS4  
    ^EcwY- Qr  
        ' Calculate new parameters with accommodation tLzKM+Ct#  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness Dn@Sjsj>  
    J8?V1Ad{  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens npMPjknl  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens F~wqt7*  
    *nlDN4Y[  
        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens }T&~DVM  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens 2!? =I'uMA  
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        tlens = 3.767 + 0.04*A                  'Lens thickness _ pO1XM  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction A?"/ >LM  
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        'Adjust parameters to account for accommodation g<^-[w4/  
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        '************************************************************************* T0"q,lrdxV  
        'Aqueous thickness (Position of Lens) gp NAM"  
        '************************************************************************* ]. 0;;v6)  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) :ioD  *k  
        GetCustomElement eID, entity O:jaA3  
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        parID = FindFullName( "Geometry.Arizona Eye" ) d/lV+yZ  
    >;+q,U}  
        ' Delete any shift(s) in z S3gd'Bahq  
        count = 0 PE<(eIr  
        While GetOperationCount(eID)>count `c?8i  
            GetOperation eID, count, op X1o=rT  
            If op.Type="ShiftZ" Then =O>E>Q  
                DeleteOperation eID,count Ti$_V_  
                count=count-1 nTCwLnX(O  
            End If kerBy\^  
            count=count+1 f[-$##S.~  
        Wend Ue(\-b\)  
    \CrWKBL  
        'Set new shift in :I8HRkp  
        op.Type = "ShiftZ" c|Fu6LF a  
        op.val1 = taq M`H@ % M  
        op.parent = parID K(rWM>Jv  
        AddOperation eID, op |nmt /[  
        Print "Set aqueous humor thickness = " & taq-0.55 $fG~;`T  
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        '************************************************************************* tf6 Zz[  
        'Radius and conic constant of anterior lens g[(Eh?]Sc  
        '************************************************************************* A$-\Er+f  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) s^HI%mdf  
        GetConic eID, entity, curv, conic qqSFy>`P  
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        SetConic eID, entity, 1/Rant, CCant j> dL:V&`  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant t>h:s3c  
    qkBCI,X_Y  
        '************************************************************************* w]O,xO  
        'Radius and conic constant of posterior lens R})b%y`]  
        '************************************************************************* i=jY l  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) G#j~8`3X  
        GetConic eID, entity, curv, conic fT.MglJcb  
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        SetConic eID, entity, 1/Rpost, CCpost a([8r- zP  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost Zu|qN*N4  
    3|=L1Pw#  
        '************************************************************************* |jb,sd[=S  
        'Lens thickness (Position of posterior lens surface) q,>4#J[2;s  
        '************************************************************************* 8dwKJ3*.  
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        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) h6Cqc}P  
    :H>0/^Mg0  
        ' Delete any z-shift(s) F~?|d 0  
        count = 0 6mV^a kapv  
        While GetOperationCount(eID)>count id [caP=`  
            GetOperation eID, count, op z oZ10?ojC  
            If op.Type="ShiftZ" Then ei(S&u<  
                DeleteOperation eID,count lPw`KW  
                count=count-1 $8`"  
            End If ^u> fW[ "[  
            count=count+1 2b&Fu\2Dmv  
        Wend ;),vUu,k  
     VM<$!Aaz  
        'Set new z-shift vr } -u  
        op.Type = "ShiftZ" 1u~a*lO}  
        op.val1 = tlens 8~AL+*hn  
        op.parent = parID v(p<88.!m  
        AddOperation eID, op QypUBf  
        Print "Set lens thickness = " & tlens 2yV^'o)  
    !vq|*8  
        '************************************************************************* wY3| 5kbDj  
        'Lens index of refraction yiMqe^zy  
        '************************************************************************* Hz j%G>  
        eID = FindMaterial( "Lens" ) 395`Wkv  
        GetModelMaterial eID, mat w%-S5#  
    {xf00/  
        mat.Nd = nlens \|CuTb;0  
        SetModelMaterial eID, mat L| ;WE=  
        Print "Set lens index of refraction = " & nlens N 1hj[G[H"  
    W0<2*7s  
        '************************************************************************* +*wr=9>  
        'Pupil diameter Ho1V)T>  
        '************************************************************************* kAq#cLprG  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) -PTfsQk  
    6eb~Z6n&?  
        'Adjust pupil diameter (trimming volume inner hole)  %e(DPX  
    5,?^SK|'x  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" O]KQ]zN  
    b-RuUfUn0  
        ' Adjust pupil location to just in front of the lens 1p8hn!V  
        parID = FindFullName( "Geometry.Arizona Eye" ) d6)+d9?<  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) t \-|J SZ  
        count = 0 sfk;c#K  
        While GetOperationCount(eID)>count 9-!GYa'Z  
            GetOperation eID, count, op bu{dT8g'U  
            If op.Type="ShiftZ" Then 1Cw HGO  
                DeleteOperation eID,count "[0.a\ d<  
                count=count-1 gv1y%(`|n(  
            End If KbMan~Pb6  
            count=count+1 Cv [1HO<  
        Wend A=wG};%_  
        op.Type = "ShiftZ" g}pD%  
        op.val1 = taq-0.01 AWi+xo|  
        op.parent = parID + ]iK^y-.r  
        AddOperation eID, op *,28@_EwY  
    nd&i9l  
        Print "Set pupil diameter = " & pupilDiam &Bqu2^^  
    $laUkD#vz  
        'Update AZ Eye subassembly Description J?Oeuk~[D  
        eID = FindFullName( "Geometry.Arizona Eye" ) z0Z1J8Qq6.  
        GetEntity eID, entity FH%M5RD  
        entity.Description = "Accommodation = " & A & "D" -b|"%e<'  
        SetEntity eID, entity qfjUJ/  
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        Update w~yC^`  
        Print "DONE!" '4CD }  
         d4p6.3  
    End Sub k8r1)B4ab  
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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: mF4y0r0  
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    Accommodation = 4 Diopters h/6^>setz  
    Pupil Diameter = 4 mm #qW#>0U  
    Set aqueous humor thickness = 2.81 |a %Wd  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 F x^X(!)~]  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 3O;"{E= <  
    Set lens thickness = 3.927 '.C#"nY>1  
    Set lens index of refraction = 1.42672 RhC|x,E  
    Set pupil diameter = 4 | AiMx2  
    DONE! 3W{ !\  
     
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