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    [分享]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: 2020-12-09
    简介 rgv?gaQ>  
    !cLo> ,4  
    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。 KVaiugQ   
    =.U[$~3q%  
    模型 EIAc@$4  
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    模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 t!X. |`h  
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    Table 1. AZ眼睛模型的定义
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    在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. b<ZIWfs  
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    光源 JPUW6e07o  
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    多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 }W8;=$jr  
    nYSiS}?S .  
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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。 o4,6.1}  
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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。 o5GcpbZ3k  
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    图2. 字母F光源的设定方法光 n\D&!y[]F  
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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 9YyLf;  
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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。 NB#OCH1/9  
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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。 L}b.ulkMD  
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    图5. 视网膜重点采样规格设定
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    脚本 iy!=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: lNh70G8^p  
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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。 LL|r A:  
    余下的脚本计算与屈光度有关的所有参数。 -3 *]G^y2  
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    分析 ED( Sg  
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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。 !i}w~U<  
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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 BwpqNQN  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used.  4e7-0}0  
    ;xj?z\=Pg  
    Dim entity As T_ENTITY \?-<4Bc@  
    Dim op As T_OPERATION V)k4:H  
    Dim mat As T_MODELMATERIAL o5PO =AN  
    Dim A As Double Q&tG4f<  
    Dim pupilDiam As Double lrE5^;/s1  
    Dim eID As Long l|[N42+  
    Dim parID As Long Of#u  
    Dim count As Integer h7oo7AP  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double ^uc=f2=>,  
    Dim tlens As Double, nlens As Double eM6<%?b  
    Dim curv As Double, conic As Double SKN`2hD  
    Dim ok As Long i1d'nxk6  
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    Sub Main &Z@o Q  
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        '用户输入对话框 +\]\[6  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1  8dA~\a  
            TextBox 220,21,40,21,.TextBox1 'default: 0 ,ZNq,$j  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 oZgjQM$YP  
            OKButton 40,91,90,21 <n$'voR7]  
            CancelButton 190,91,90,21 Z5n1@a __  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 ?l{nk5,?-Y  
            TextBox 220,49,40,21,.TextBox2 'default: 4 rs[T=CQ  
        End Dialog M|h3Wt~7  
        Dim dlg As UserDialog %sP*=5?vA  
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        ok = Dialog (dlg) (ZZ8L-s  
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        If ok=0 Then    'cancel button was pressed _TZRVa_  
            Print "Execution cancelled." .`eN8Dl1  
            End \}b%E'+_T  
        End If dZ@63a>>@  
    .L~AL|2_  
        'Assign accommodation and pupil diameter & use defaults if field left empty 7JH6A'&  
        If dlg.TextBox1 = "" Then ~<bZ1TD   
            A = 0           'Default accommodation wn%A4-%{  
        Else $6 f3F?y7  
            A = CDbl(dlg.TextBox1) U iW>J  
        End If H7n>Vx:L-  
    ;)*eo_tQ  
        If dlg.TextBox2 = "" Then rb.N~  
            pupilDiam = 4   'Default pupil diameter 1))8 A@,  
        Else gwMNYMI  
            pupilDiam = CDbl(dlg.TextBox2) P= NDS2  
        End If lL3U8}vn  
    ?:q*(EC<  
        Print " " q0vQ a  
        Print "Accommodation = " & A & " Diopters" V 5mTP'  
        Print "Pupil Diameter = " & pupilDiam & " mm" _Fl9>C"u  
    ^09,"<@k  
        ' Calculate new parameters with accommodation Y$_B1_  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness m-, x<bM?  
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        Rant = 12.0 - 0.4*A                     'Radius of anterior lens 8l`*]1.W<  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens :$c |  
     qX{+oy5  
        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens F]&*o w  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens } q8ASYNc  
    nNn :-  
        tlens = 3.767 + 0.04*A                  'Lens thickness NBGH_6DROw  
    W'TZ%K) I  
        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction kxv1Hn"`{E  
    }|=|s f  
        'Adjust parameters to account for accommodation b \2 ds,  
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        '************************************************************************* a:w#s}bL  
        'Aqueous thickness (Position of Lens) @o`AmC . 8  
        '************************************************************************* =Xr.'(U  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) NgPk&niM  
        GetCustomElement eID, entity ?Ir:g=RP*  
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        parID = FindFullName( "Geometry.Arizona Eye" ) dy[X3jQB  
    7%M_'P4 V  
        ' Delete any shift(s) in z 8":Q)9;%  
        count = 0 D0f]$  
        While GetOperationCount(eID)>count ;2QP7PrSY  
            GetOperation eID, count, op 3JR+O <3D  
            If op.Type="ShiftZ" Then +N U G  
                DeleteOperation eID,count @r1_U,0e  
                count=count-1 R:qW;n%AF  
            End If f!X[c?Xy"  
            count=count+1 Z% UP6%  
        Wend >A"(KSNL  
    G3T]`Atf  
        'Set new shift in ");a3hD  
        op.Type = "ShiftZ" Ny/MJ#Lq  
        op.val1 = taq Q7CsJzk~)  
        op.parent = parID ;O,jUiQ  
        AddOperation eID, op (TM,V!G+U~  
        Print "Set aqueous humor thickness = " & taq-0.55 @H8EWTZ  
    dWBA1p  
        '************************************************************************* ns4,@C$  
        'Radius and conic constant of anterior lens jPkn[W# 6  
        '************************************************************************* *o ix6  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) E]r?{t`]  
        GetConic eID, entity, curv, conic 0"z9Q\{}  
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        SetConic eID, entity, 1/Rant, CCant |_U= z;Y  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant u*9V&>o  
    'J|_2*  
        '************************************************************************* .=; ;  
        'Radius and conic constant of posterior lens I q.*8Oc  
        '************************************************************************* N'=gep0V@  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) LDa1X2N  
        GetConic eID, entity, curv, conic >yDZw!C  
    |y!A&d=xYn  
        SetConic eID, entity, 1/Rpost, CCpost X}0cCdW  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost q@2siI~W  
    EoDA]6?Lj  
        '************************************************************************* 8q7b_Pq1U  
        'Lens thickness (Position of posterior lens surface)  !}$$:  
        '************************************************************************* sDV Q#}a  
    |4`{]2C  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) g9F?z2^  
    7K:PdF>/  
        ' Delete any z-shift(s) Z3!`J&  
        count = 0 "kFg  
        While GetOperationCount(eID)>count P!k{u^$L  
            GetOperation eID, count, op TL#3;l^  
            If op.Type="ShiftZ" Then }ad|g6i`  
                DeleteOperation eID,count / XIhj  
                count=count-1 SgOheN-  
            End If <a+Z;>  
            count=count+1 Y<8vw d  
        Wend 3;Fhg!Z O  
    tLmTjX .6  
        'Set new z-shift { (}By/_  
        op.Type = "ShiftZ" 3R V R  
        op.val1 = tlens 3+bt~J0  
        op.parent = parID nQS|Lt_+  
        AddOperation eID, op [ikOb8 G#  
        Print "Set lens thickness = " & tlens +nGAz{&@r%  
    "zy7C*)>r  
        '************************************************************************* gZ1?G-Q  
        'Lens index of refraction @=kSo -SX  
        '************************************************************************* )dSi/  
        eID = FindMaterial( "Lens" ) H>@+om  
        GetModelMaterial eID, mat |^H5^k "Bv  
    g=o4Q< #^y  
        mat.Nd = nlens ,7b[!#?8  
        SetModelMaterial eID, mat >F&47Yn  
        Print "Set lens index of refraction = " & nlens 7VI*N)OZ8  
    S21,VpW\  
        '************************************************************************* X\ F|Tk3_  
        'Pupil diameter *uvQ\.  
        '************************************************************************* !{41!O,K#  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) t&DEb_"De  
    WMg~Y"W  
        'Adjust pupil diameter (trimming volume inner hole) & ZB  
    iG?[<1~  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" sn>~O4"  
    Mb7I[5v  
        ' Adjust pupil location to just in front of the lens Y[S1$(K&*  
        parID = FindFullName( "Geometry.Arizona Eye" ) HUOj0T  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) 7J&4akT{9  
        count = 0 u> / TE  
        While GetOperationCount(eID)>count GvlS%  
            GetOperation eID, count, op GowH]MO  
            If op.Type="ShiftZ" Then 2)~> R  
                DeleteOperation eID,count ei5~&  
                count=count-1 gltBC${7wZ  
            End If da~],MN  
            count=count+1 c6/=Gq{.  
        Wend W`*r>`krVJ  
        op.Type = "ShiftZ" s&J]zb`  
        op.val1 = taq-0.01 & "B=/-(  
        op.parent = parID >i-"<&#jG  
        AddOperation eID, op Vs{|xG7W D  
    :P=(k2  
        Print "Set pupil diameter = " & pupilDiam -s'-eQF J  
    *k>n<p3dd  
        'Update AZ Eye subassembly Description pcI uN  
        eID = FindFullName( "Geometry.Arizona Eye" ) ji,kkipY?w  
        GetEntity eID, entity k.15CA`  
        entity.Description = "Accommodation = " & A & "D" cPc</[x[W  
        SetEntity eID, entity -1@<=jX3_  
    dcWD(-  
        Update _oDz-  
        Print "DONE!" ;P&OX5~V  
         Y:)e(c"A  
    End Sub *G 9V'9  
    8kDp_s i  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: BJo*'US-Q  
    "G9xMffW  
    Accommodation = 4 Diopters ]:/Q]n^  
    Pupil Diameter = 4 mm ib791  
    Set aqueous humor thickness = 2.81 zs#@jv$  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 iMRwp+$  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 `n?DU;,  
    Set lens thickness = 3.927 >~+ELVB&  
    Set lens index of refraction = 1.42672 % +\. " eC  
    Set pupil diameter = 4 YkQd  
    DONE! -1ub^feJ,  
    j^2j& Ta  
    z,%$+)K  
    QQ:2987619807 IRqy%@)  
     
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