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    [分享]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: 2020-12-09
    简介 G'A R`"F  
    ?5 7Sk+  
    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。 7Jho}5J  
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    模型 Dm<A ^u8  
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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。 'q:`? nJ^  
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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. B&uz;L3  
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    光源 e**qF=HCw  
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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。 <W$mj04@  
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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。 y_lU=(%Jd  
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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。 jtc]>]6i  
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    图2. 字母F光源的设定方法光 kpN)zxfk  
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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 .ctw2x5W  
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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。 v z '&%(  
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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。 HCC#j9UN6  
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    图5. 视网膜重点采样规格设定
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    脚本 u5f9Jw}  
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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: b2&0Hx  
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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。 n8ZZ#}Nhg  
    余下的脚本计算与屈光度有关的所有参数。 -z%^)VE  
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    分析 x-&@wMqkc  
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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。 nk' s_a*Z  
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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 % ^1V4  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. +}os&[S  
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    Dim entity As T_ENTITY ,M ^<CJ  
    Dim op As T_OPERATION aQ\$A`?  
    Dim mat As T_MODELMATERIAL >V8-i`  
    Dim A As Double K} X&AJ5A  
    Dim pupilDiam As Double ML56k~"BL  
    Dim eID As Long 7} 5JDG  
    Dim parID As Long  Sw, +p  
    Dim count As Integer +E(L\  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double <&g,Nc'5C  
    Dim tlens As Double, nlens As Double EaY?aAuS:  
    Dim curv As Double, conic As Double O`t&ldU  
    Dim ok As Long p}pjfG  
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    Sub Main XW)lDiJl  
    " C Qa.%  
        '用户输入对话框 L2i_X@/  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 4*cEag   
            TextBox 220,21,40,21,.TextBox1 'default: 0 a![{M<Y~  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 j[J-f@F \Y  
            OKButton 40,91,90,21 #r~# I}U  
            CancelButton 190,91,90,21 q\4Xs$APq  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1  B Qxs~  
            TextBox 220,49,40,21,.TextBox2 'default: 4 Zaf:fsj>  
        End Dialog .2Elr(&*h  
        Dim dlg As UserDialog ?ri?GmI|  
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        ok = Dialog (dlg) ,Np0wg0  
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        If ok=0 Then    'cancel button was pressed W/bQd)Jvk  
            Print "Execution cancelled." :zke %Yx  
            End 8COGsWK  
        End If z3m85F%dR  
    \\H}`0m:  
        'Assign accommodation and pupil diameter & use defaults if field left empty k:#!zK}  
        If dlg.TextBox1 = "" Then 6@F9G 4<Z  
            A = 0           'Default accommodation ;) z:fToh  
        Else Nv}=L : E  
            A = CDbl(dlg.TextBox1) ' ;FnIZ  
        End If DGn;m\B  
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        If dlg.TextBox2 = "" Then a;qryUyG  
            pupilDiam = 4   'Default pupil diameter +RMSA^  
        Else -[9JJ/7y  
            pupilDiam = CDbl(dlg.TextBox2) Q}K"24`=  
        End If G3vxjD<DMW  
    1N#| }ad  
        Print " " *:LK8U  
        Print "Accommodation = " & A & " Diopters" /1V xc 6  
        Print "Pupil Diameter = " & pupilDiam & " mm" $)ijN^hV  
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        ' Calculate new parameters with accommodation 6"5A%{ J  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness gpvYb7Of0  
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        Rant = 12.0 - 0.4*A                     'Radius of anterior lens Zd}9O jz5  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens FF(#]vz'  
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        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens O1U=X:Zl  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens  Rn(ec  
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        tlens = 3.767 + 0.04*A                  'Lens thickness M l{Z  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction ~"&|W'he[  
    2Aazy'/  
        'Adjust parameters to account for accommodation #@9/g  
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        '************************************************************************* wc NOLUl  
        'Aqueous thickness (Position of Lens) ~hnQUS`A  
        '************************************************************************* JPc+rfF  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) k"T}2 7  
        GetCustomElement eID, entity 0KcyLAJ  
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        parID = FindFullName( "Geometry.Arizona Eye" ) P}y +G|  
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        ' Delete any shift(s) in z RXpw!  
        count = 0 Pg0x/X{t  
        While GetOperationCount(eID)>count GmeQ`;9,  
            GetOperation eID, count, op D9 CaFu  
            If op.Type="ShiftZ" Then &0OG*}gi  
                DeleteOperation eID,count hOu3 bA  
                count=count-1 ,.83m%i  
            End If jk; clwyz/  
            count=count+1 x=hiQ>BIO0  
        Wend @fZ,.2ar  
    (cAIvgI  
        'Set new shift in HZzDVCU  
        op.Type = "ShiftZ" .779pT!,M  
        op.val1 = taq L%*!`TN  
        op.parent = parID 3nIU1e  
        AddOperation eID, op Sz)' ogl  
        Print "Set aqueous humor thickness = " & taq-0.55 SO|NaqWa  
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        '************************************************************************* 5,Jp[bw{H{  
        'Radius and conic constant of anterior lens zUkgG61  
        '************************************************************************* ^pAAzr"hv  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) nX6u(U  
        GetConic eID, entity, curv, conic g|DF[  
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        SetConic eID, entity, 1/Rant, CCant rxgbV.tx  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant $k@O`xD,q  
    $Uq|w[LA  
        '************************************************************************* ?>D+ge  
        'Radius and conic constant of posterior lens (^8Y|:Tz  
        '************************************************************************* F 5bj=mI  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) b@gc{R}7  
        GetConic eID, entity, curv, conic Xk~D$~4<  
    M)J5;^["  
        SetConic eID, entity, 1/Rpost, CCpost vsCCB}7\  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost ~9a<0Mc?  
    v}}F,c(f  
        '************************************************************************* n Mq,F#`3N  
        'Lens thickness (Position of posterior lens surface) Sxt"B  
        '*************************************************************************  acajHs  
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        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) GfxZ'VIn  
    9|^2",V  
        ' Delete any z-shift(s) <.x{|p  
        count = 0 fy>{QC\  
        While GetOperationCount(eID)>count . oF &Ff/[  
            GetOperation eID, count, op .LPV#&   
            If op.Type="ShiftZ" Then qTRsZz@  
                DeleteOperation eID,count !_]Y~[  
                count=count-1 9Z@hPX3.  
            End If :;RMo2Tl  
            count=count+1 @ wGPqg  
        Wend ?h ZAxR\  
    4M=]wR;  
        'Set new z-shift Avge eJi  
        op.Type = "ShiftZ" )!th7sH  
        op.val1 = tlens |{z:IQLv  
        op.parent = parID p,EQ#Ik  
        AddOperation eID, op "(3[+W{|  
        Print "Set lens thickness = " & tlens gDQ^)1k  
    B?eCe}*f;B  
        '************************************************************************* j2t7'bO_  
        'Lens index of refraction JK7G/]j+Ez  
        '************************************************************************* 9@SC}AF.  
        eID = FindMaterial( "Lens" ) !{+,B5 Hc  
        GetModelMaterial eID, mat 5N#aXG^9  
    fbyd"(V 8r  
        mat.Nd = nlens |%BOZT  
        SetModelMaterial eID, mat b <tNk]7  
        Print "Set lens index of refraction = " & nlens n2"a{Ofhlf  
    NJ%P/\ C  
        '************************************************************************* KaLzg5is  
        'Pupil diameter HDz5&7* .  
        '************************************************************************* {X!r8i  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) SpIv#?  
    |QF7 uV  
        'Adjust pupil diameter (trimming volume inner hole) &pxg. 3  
    [7:,?$tC  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" Ij7p' a  
    *[Imn\hu  
        ' Adjust pupil location to just in front of the lens 7zl5yK N  
        parID = FindFullName( "Geometry.Arizona Eye" ) 2,y|EpG#  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) [CTnXb  
        count = 0 eFB5=)ld  
        While GetOperationCount(eID)>count :;v~%e{k  
            GetOperation eID, count, op ^7`BP%6  
            If op.Type="ShiftZ" Then (=FRmdeYl1  
                DeleteOperation eID,count 3xy<tqfr  
                count=count-1 WSP I|#Xr%  
            End If zF@/K`  
            count=count+1 _f7 9wx\B  
        Wend "-E\[@/  
        op.Type = "ShiftZ" =?5]()'*n  
        op.val1 = taq-0.01 h! ,v/7=  
        op.parent = parID FBG4pb9=~  
        AddOperation eID, op b35fs]}u-6  
    Qry@ s5  
        Print "Set pupil diameter = " & pupilDiam  > ^O7  
    tb 5`cube  
        'Update AZ Eye subassembly Description mwO6g~@ `  
        eID = FindFullName( "Geometry.Arizona Eye" ) qRu~$K  
        GetEntity eID, entity RV1coC.g4x  
        entity.Description = "Accommodation = " & A & "D" B4ZBq%Z_  
        SetEntity eID, entity xPdG*OcX!  
    i[i4h"$0  
        Update }czrj%6  
        Print "DONE!" XjBW9a  
          C;v.S5x  
    End Sub &L3M]  
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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: B  5L2<  
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    Accommodation = 4 Diopters _OYasJUMG  
    Pupil Diameter = 4 mm m 1b?J3   
    Set aqueous humor thickness = 2.81 ??5Q)Erm1  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 g%o(+d  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 mb 1FWy=3  
    Set lens thickness = 3.927 UB@Rs|)  
    Set lens index of refraction = 1.42672 +tB=OwU%0  
    Set pupil diameter = 4 rD tY[  
    DONE! SV4E0c>  
    ` #0:gEo  
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    QQ:2987619807 7lTC{7C57  
     
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