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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 _7>$'V{  
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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。 p_S8m|%  
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    模型 WbC|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。 =8S*t5  
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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. $},Y)"mI  
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    光源 GFasGHAw  
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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。 <CIJ g*  
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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。 z><=F,W  
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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。 22S4q`j  
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    图2. 字母F光源的设定方法光 ^l|{*oj2  
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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 3a #2 }  
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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。 nsFOtOdd  
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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。  f.acH]p  
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    图5. 视网膜重点采样规格设定
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    脚本 Y`jvza%  
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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: 89T xd9X  
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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。 U 2am1}  
    余下的脚本计算与屈光度有关的所有参数。 *4#)or  
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    分析  nN1\  
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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。 JVbR5"+.  
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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 m` ^o<V&  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. *TQXE:vZ[  
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    Dim entity As T_ENTITY "L^]a$&  
    Dim op As T_OPERATION 9TRS#iVL+*  
    Dim mat As T_MODELMATERIAL l&l&e OE  
    Dim A As Double NrH2U Jm  
    Dim pupilDiam As Double y J*`OU#  
    Dim eID As Long d_s=5+Yj  
    Dim parID As Long ApHs`0=(  
    Dim count As Integer {`,dWjy{%  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double i]&C=X  
    Dim tlens As Double, nlens As Double 5%,5Xe4p  
    Dim curv As Double, conic As Double $SAq/VHI1]  
    Dim ok As Long dbM~41C6  
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    Sub Main AjBwj5K  
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        '用户输入对话框 ?'ID7mL  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 "D#+:ix8G|  
            TextBox 220,21,40,21,.TextBox1 'default: 0 {FRUB(68b  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 |Iei!jm  
            OKButton 40,91,90,21 ~I[Z 2&I  
            CancelButton 190,91,90,21 q6DuLFatc*  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 278:5yC  
            TextBox 220,49,40,21,.TextBox2 'default: 4 iAD'MB  
        End Dialog D2N| A  
        Dim dlg As UserDialog u^.7zL+  
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        ok = Dialog (dlg) ~q]@Jp  
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        If ok=0 Then    'cancel button was pressed N$>.V7H&  
            Print "Execution cancelled." >g7}JI&  
            End r}351S5(  
        End If /+^7lQo\]  
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        'Assign accommodation and pupil diameter & use defaults if field left empty '}#=I 9=ss  
        If dlg.TextBox1 = "" Then kaM=Fk=t  
            A = 0           'Default accommodation %N5gQXg  
        Else fz/Ee1T\  
            A = CDbl(dlg.TextBox1) C \"nlNKw  
        End If iF]G$@rbU  
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        If dlg.TextBox2 = "" Then a#3+PB #  
            pupilDiam = 4   'Default pupil diameter <Y%km[Mh  
        Else {"{kWbXZ  
            pupilDiam = CDbl(dlg.TextBox2) "&h{+DHS  
        End If '-9B`O,&  
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        Print " " ]q!,onJ  
        Print "Accommodation = " & A & " Diopters" xvo""R/g8  
        Print "Pupil Diameter = " & pupilDiam & " mm" \S #Mc  
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        ' Calculate new parameters with accommodation %L;z~C  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness h8 Wv t's  
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        Rant = 12.0 - 0.4*A                     'Radius of anterior lens o[=h=&@5p  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens K4w %XVaH  
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        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens I*h%e,yIO  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens %3p~5jhm1  
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        tlens = 3.767 + 0.04*A                  'Lens thickness 2rxZN\gyL  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction sKE7U>mz|  
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        'Adjust parameters to account for accommodation .`w[A  
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        '************************************************************************* X8(H#Ef[  
        'Aqueous thickness (Position of Lens) cf\PG&S  
        '************************************************************************* vP k\b 3E  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) YoC{ t&rY  
        GetCustomElement eID, entity h\qQ%|X  
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        parID = FindFullName( "Geometry.Arizona Eye" ) .kbo]P  
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        ' Delete any shift(s) in z ]IF QD  
        count = 0 ?HD eiJ kX  
        While GetOperationCount(eID)>count TNi4H:\  
            GetOperation eID, count, op A=N &(k  
            If op.Type="ShiftZ" Then 8]G  
                DeleteOperation eID,count ~Qg:_ @@\  
                count=count-1 <H; z4  
            End If tccw0  
            count=count+1 W#|30RU.G  
        Wend LgG7|\(-  
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        'Set new shift in L>trLD1pt  
        op.Type = "ShiftZ" R=7,F6.  
        op.val1 = taq adCTo  
        op.parent = parID *8I+D>x  
        AddOperation eID, op B|fh 4FNy  
        Print "Set aqueous humor thickness = " & taq-0.55 )Z/L  
    &XvSAw+D@  
        '************************************************************************* AiF'*!1  
        'Radius and conic constant of anterior lens N~=,RPjq  
        '************************************************************************* jH5VrN*Q  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) N}|<P[LW  
        GetConic eID, entity, curv, conic /JcfAY  
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        SetConic eID, entity, 1/Rant, CCant pxGDzU  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant -(oFO'Lbg  
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        '************************************************************************* " Y1]6 Zu  
        'Radius and conic constant of posterior lens k vu SE  
        '************************************************************************* ^i"~6QYE  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) :m&cm%W]ts  
        GetConic eID, entity, curv, conic xr*%:TwCta  
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        SetConic eID, entity, 1/Rpost, CCpost ~10>mg  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost (GCeD-  
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        '************************************************************************* ;q"Yz-3  
        'Lens thickness (Position of posterior lens surface) Y5/SbQYf1  
        '************************************************************************* %&Fsk]T%:  
    hx.ln6=4  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) Yl$R$u)  
    xs}3=&c(  
        ' Delete any z-shift(s) |_h$}~ ;  
        count = 0 @$*LU:[  
        While GetOperationCount(eID)>count q,Nhfo(  
            GetOperation eID, count, op u4KP;_,m  
            If op.Type="ShiftZ" Then &^7^7:Y=?  
                DeleteOperation eID,count 4Ou5Vp&y  
                count=count-1 S - N [  
            End If \jpm   
            count=count+1 2{Johqf  
        Wend K*/X{3J;  
    W2`/z)[*>  
        'Set new z-shift \/8oua_)  
        op.Type = "ShiftZ" Sb|9U8h  
        op.val1 = tlens au;ZAXM|  
        op.parent = parID o,q47W=7$  
        AddOperation eID, op vVy X[ZZ  
        Print "Set lens thickness = " & tlens xb (Cd  
    @ L=dcO{r  
        '************************************************************************* ll^#I/  
        'Lens index of refraction c$fYK  
        '************************************************************************* xX:N-  
        eID = FindMaterial( "Lens" ) HZl//Uq  
        GetModelMaterial eID, mat 2mt S\bAF  
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        mat.Nd = nlens FhFP M)[  
        SetModelMaterial eID, mat ,7/F?!G!J  
        Print "Set lens index of refraction = " & nlens #*tWhXU  
    Vb++K0CK  
        '************************************************************************* F8pP(Wl  
        'Pupil diameter U3tA"X.K  
        '************************************************************************* 1"fbQ^4`  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) U{Xx)l/o  
    GE!fh1[[u  
        'Adjust pupil diameter (trimming volume inner hole) "Nh}_jO  
    7Ap==J{a  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" Q13>z%Rge  
    >"|"Gy (  
        ' Adjust pupil location to just in front of the lens *>,#'C2  
        parID = FindFullName( "Geometry.Arizona Eye" ) Z[GeU>?P  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) HxnWM\p  
        count = 0 .Gcs/PN   
        While GetOperationCount(eID)>count 9NEL[J|  
            GetOperation eID, count, op &57s//PrX  
            If op.Type="ShiftZ" Then k.6gX<T  
                DeleteOperation eID,count +\s&v!  
                count=count-1 2S@aG%-)  
            End If &fRZaq'2R  
            count=count+1 1=Y pNXX  
        Wend TD^w|U.  
        op.Type = "ShiftZ" p->b Vt  
        op.val1 = taq-0.01 ;hZ^zL  
        op.parent = parID N6<G`k,  
        AddOperation eID, op *V[6ta'  
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        Print "Set pupil diameter = " & pupilDiam ~\o hH  
    O!ngQrI  
        'Update AZ Eye subassembly Description 5~H}%W,P  
        eID = FindFullName( "Geometry.Arizona Eye" ) iji2gWV}h  
        GetEntity eID, entity | HfN<4NL  
        entity.Description = "Accommodation = " & A & "D" I%'6IpR"d  
        SetEntity eID, entity h 7  c  
    }pOJM &I  
        Update i"GCm`  
        Print "DONE!" #Nv)SCc  
         c 0.? d]  
    End Sub %Q.|qyq  
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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: XM:Y(#?l  
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    Accommodation = 4 Diopters ?>T (  
    Pupil Diameter = 4 mm m-AW}1:\f  
    Set aqueous humor thickness = 2.81 ){FXonVP  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 @lu` oyM  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 LG:Mksd8=4  
    Set lens thickness = 3.927 MzpDvnI9  
    Set lens index of refraction = 1.42672 ,cwjieM  
    Set pupil diameter = 4 th]pqhl>  
    DONE! F&)(G\  
     
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