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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 C+uW]]~I)  
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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。 Y*$>d/E  
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    模型 5e$1KN`  
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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。 tH)j EY9  
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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. &n )MGg1%  
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    光源 *s*Y uY%y  
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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。 >iae2W`  
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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。 ?T2>juf]5~  
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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。 ^\AeX-q2v'  
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    图2. 字母F光源的设定方法光 k1q/L|')  
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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 EM*I%|n@m  
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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。 NDP" @  
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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。 0mujf  
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    图5. 视网膜重点采样规格设定
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    脚本 \jtA8o%n  
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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: OALNZKP  
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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。 RkYn6  
    余下的脚本计算与屈光度有关的所有参数。 Q2VF+g,  
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    分析 G n]qh(N>  
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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。 Zk%@GOu\  
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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 Sl G v  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. 'd+fGx7i  
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    Dim entity As T_ENTITY N $) G 8  
    Dim op As T_OPERATION <bKtAf  
    Dim mat As T_MODELMATERIAL >#|%'Us  
    Dim A As Double ]=00<~ l*q  
    Dim pupilDiam As Double [j+:2@  
    Dim eID As Long I "AjYv4R  
    Dim parID As Long IC0L&;En  
    Dim count As Integer xmv %O&0^}  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double ;7lON-@BI  
    Dim tlens As Double, nlens As Double |6*Bu1  
    Dim curv As Double, conic As Double CJ\a7=*i  
    Dim ok As Long )x|;%.8FX7  
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    Sub Main XMuZ}u[U  
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        '用户输入对话框 ^HSxE  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 [CI&4) #  
            TextBox 220,21,40,21,.TextBox1 'default: 0 J:m/s9r  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 ~?F,kmO}?  
            OKButton 40,91,90,21 ETdXk&AN  
            CancelButton 190,91,90,21 i)o;,~ee  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 !CGX\cvW  
            TextBox 220,49,40,21,.TextBox2 'default: 4 K3?5bT_{  
        End Dialog  VGV-t  
        Dim dlg As UserDialog zeHF-_{  
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        ok = Dialog (dlg) 7AV{ h[J  
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        If ok=0 Then    'cancel button was pressed zuvPV{ X  
            Print "Execution cancelled." z qeQ  
            End $Z@*!B^  
        End If hC<ROD  
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        'Assign accommodation and pupil diameter & use defaults if field left empty Hb=#`  
        If dlg.TextBox1 = "" Then #d-({blo<  
            A = 0           'Default accommodation y&NqVR=   
        Else nje7?Vz  
            A = CDbl(dlg.TextBox1) ~Ru\Z-q1  
        End If 4XN \p  
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        If dlg.TextBox2 = "" Then $o[-xNn1  
            pupilDiam = 4   'Default pupil diameter +/ukS6>gr  
        Else =0)|psCsM  
            pupilDiam = CDbl(dlg.TextBox2) rVz.Ws#  
        End If C}8#yAS9M  
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        Print " " +:FXtO>n"  
        Print "Accommodation = " & A & " Diopters" :; +!ID_  
        Print "Pupil Diameter = " & pupilDiam & " mm" NIV}hf YF  
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        ' Calculate new parameters with accommodation !mNst$-H4  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness C*Vm}|)  
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        Rant = 12.0 - 0.4*A                     'Radius of anterior lens VE )D4RL  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens 3(BL  
    'c35%? ]  
        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens T2e-RR  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens (T%F^s5D  
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        tlens = 3.767 + 0.04*A                  'Lens thickness s@\3|e5g  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction vzIo2 ,/7  
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        'Adjust parameters to account for accommodation ,h*gd^i  
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        '************************************************************************* $plk>Khg  
        'Aqueous thickness (Position of Lens) .|,LBc!  
        '************************************************************************* mfr aw2H  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) >]h{[kU %4  
        GetCustomElement eID, entity )CFJ Xc:  
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        parID = FindFullName( "Geometry.Arizona Eye" ) Cj0r2^`  
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        ' Delete any shift(s) in z -<g9 ) CV5  
        count = 0 qed_PsI  
        While GetOperationCount(eID)>count a~_ 9BM41T  
            GetOperation eID, count, op 7'\. Q J!<  
            If op.Type="ShiftZ" Then =3bk=vy  
                DeleteOperation eID,count kF|$oBQ  
                count=count-1 Px_8lB/;  
            End If  Ng#psN  
            count=count+1 !<w6j-S  
        Wend :\;9y3  
    I-#!mFl  
        'Set new shift in L ]')=J+  
        op.Type = "ShiftZ" DsdM:u*s  
        op.val1 = taq yq~  
        op.parent = parID '}hSh  
        AddOperation eID, op !:+U-mb*  
        Print "Set aqueous humor thickness = " & taq-0.55 Thggas,  
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        '************************************************************************* {Ydhplg{  
        'Radius and conic constant of anterior lens 5Q10Ohh  
        '************************************************************************* :w^:Z$-hf  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) \]x`f3F  
        GetConic eID, entity, curv, conic LK h=jB^bT  
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        SetConic eID, entity, 1/Rant, CCant 534pX7dg  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant t #(NfzN  
    2"6L\8hd2  
        '************************************************************************* @fd<  
        'Radius and conic constant of posterior lens Z!v,;MW  
        '************************************************************************* #]Vw$X_S  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) WA n@8!9  
        GetConic eID, entity, curv, conic !{ &r|6  
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        SetConic eID, entity, 1/Rpost, CCpost +wQ5m8E  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost N<JI^%HBgP  
    SqAz((  
        '************************************************************************* I"]E}nd)  
        'Lens thickness (Position of posterior lens surface) 2tz4Ag  
        '************************************************************************* u$w.'lK  
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        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) -l=C7e  
    U`*we43  
        ' Delete any z-shift(s) ih kZs3}  
        count = 0 .\ bJ,of9  
        While GetOperationCount(eID)>count IR/S`HD_  
            GetOperation eID, count, op xbiprhdv  
            If op.Type="ShiftZ" Then :lu!%p<$  
                DeleteOperation eID,count |1wZ`wGZ:L  
                count=count-1 UB@(r86 d  
            End If {JWixbA  
            count=count+1 i?_Q@uA~<:  
        Wend o9sQ!gptw  
    b8a (.}8*  
        'Set new z-shift i7H([b<_m  
        op.Type = "ShiftZ" n[/D>Pi  
        op.val1 = tlens rT="ciQ  
        op.parent = parID B+FTkJ0t+G  
        AddOperation eID, op t(}Y/'  
        Print "Set lens thickness = " & tlens 5T/+pC$e=  
    $;g*s?F*  
        '************************************************************************* D u<P^CE  
        'Lens index of refraction 55v=Ij?M  
        '************************************************************************* Z@q1&}D!  
        eID = FindMaterial( "Lens" ) xEG:KSH  
        GetModelMaterial eID, mat H8HH) ^  
     5+GTK)D  
        mat.Nd = nlens 0Cc3NNdz  
        SetModelMaterial eID, mat []OS p&  
        Print "Set lens index of refraction = " & nlens S> Fb'rJ3  
    OBFM70K  
        '************************************************************************* R1*&rjB  
        'Pupil diameter NiG&Lw*8  
        '************************************************************************* aR6~r^jB  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) ,>6mc=p  
    8\il~IFyi  
        'Adjust pupil diameter (trimming volume inner hole) ~,W|i  
    $jk4H+H-  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" i@{b+5$  
    .t ^1e  
        ' Adjust pupil location to just in front of the lens &IQNsJL!e  
        parID = FindFullName( "Geometry.Arizona Eye" ) El}~3|a?  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) S?DMeZ{:  
        count = 0 6heK8*.T  
        While GetOperationCount(eID)>count =>*}qen  
            GetOperation eID, count, op k8Dk;N  
            If op.Type="ShiftZ" Then *4 m]UK  
                DeleteOperation eID,count Sn97DCdk  
                count=count-1 :4:U\k;QwA  
            End If KjA7x  
            count=count+1 $1X !Ecq_  
        Wend ~Q- /O~  
        op.Type = "ShiftZ" KYhL}C+  
        op.val1 = taq-0.01 af'ncZ@U  
        op.parent = parID a#0*#&?7@  
        AddOperation eID, op *<9M|H~  
    TbqtT_{  
        Print "Set pupil diameter = " & pupilDiam ][f0ZMa  
    9aID&b +  
        'Update AZ Eye subassembly Description rp ]H&5.*  
        eID = FindFullName( "Geometry.Arizona Eye" ) _J>Ik2EF  
        GetEntity eID, entity 2Z(?pJyDM  
        entity.Description = "Accommodation = " & A & "D" JWt@vf~  
        SetEntity eID, entity Y(JZP\Tf_N  
    j1JdG<n  
        Update ,[n=PJVw/  
        Print "DONE!" lz).=N}m  
         H2_6m5[&,  
    End Sub b^Do[o}5  
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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: ?r0>HvUf!l  
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    Accommodation = 4 Diopters LNgFk%EH  
    Pupil Diameter = 4 mm OoOwEV2p_  
    Set aqueous humor thickness = 2.81 k%RQf0`T  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 [c>YKN2qa  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 Kt#X'!9/<  
    Set lens thickness = 3.927 eET1f8 B=L  
    Set lens index of refraction = 1.42672 -OQ6;A"#  
    Set pupil diameter = 4 t-FrF</ 0  
    DONE! %H"AHkge:a  
     
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