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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 .w m<l:  
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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。 RToX[R;1E  
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    模型 J=^5GfM)J  
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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。 N]c:8dOj  
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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. Q(8W5Fb?  
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    光源 _;(Q MeR  
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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。 ?aG~E  
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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。 1 d.>?^uE  
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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。 Q"xDRQA  
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    图2. 字母F光源的设定方法光 CA"`7<,  
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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 yNx"Ey dk`  
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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。 t^9q>[/d`  
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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。 Ug O\+cI  
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    图5. 视网膜重点采样规格设定
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    脚本 2gjA>ET`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: e''Wm.>g(+  
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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。 s*}d`"YvH  
    余下的脚本计算与屈光度有关的所有参数。  })w5`?Y  
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    分析 0P53dF  
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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。 %n c+VL4  
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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 ae1fCw3k  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. ~GY;{  
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    Dim entity As T_ENTITY Kd,m;S\  
    Dim op As T_OPERATION bmddh2  
    Dim mat As T_MODELMATERIAL QnOa?0HL/  
    Dim A As Double CGg6nCB  
    Dim pupilDiam As Double ,|c_l)  
    Dim eID As Long z?YGE iR/}  
    Dim parID As Long cRfX  
    Dim count As Integer T@ HozZ  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double ;NPb  
    Dim tlens As Double, nlens As Double ,>jm|BTD {  
    Dim curv As Double, conic As Double nocH~bAf2  
    Dim ok As Long KJkcmF}Q  
    FRF}V@~  
    Sub Main rC*nZ*  
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        '用户输入对话框 u})JQ<|  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 1!NaOfP;@  
            TextBox 220,21,40,21,.TextBox1 'default: 0 #5I "M WA  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 2I4P":q  
            OKButton 40,91,90,21 +1623E  
            CancelButton 190,91,90,21 [E/3&3  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1  JuI,wA  
            TextBox 220,49,40,21,.TextBox2 'default: 4 f3h9CV  
        End Dialog J/*[wj  
        Dim dlg As UserDialog nBj7Q!lW  
    ]- `{kX  
        ok = Dialog (dlg) y@z #Jw<  
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        If ok=0 Then    'cancel button was pressed JZ7-? o  
            Print "Execution cancelled." 7I  
            End cK } Qu  
        End If =@f;s<v/  
    3WVHI$A9  
        'Assign accommodation and pupil diameter & use defaults if field left empty `jkn*:m  
        If dlg.TextBox1 = "" Then g<-cHF  
            A = 0           'Default accommodation ~!OjdE!u  
        Else sOW|TN>y\  
            A = CDbl(dlg.TextBox1) 3N21[i2/m  
        End If Pg36'aTe%j  
    I R&u55#I6  
        If dlg.TextBox2 = "" Then U|QDV16f  
            pupilDiam = 4   'Default pupil diameter -d~'tti  
        Else WveFB%@`;  
            pupilDiam = CDbl(dlg.TextBox2) V]2z5u_q  
        End If (qrT0D6  
    ;sf/tX  
        Print " " 3PGyqt(   
        Print "Accommodation = " & A & " Diopters" 2P}RZvUd  
        Print "Pupil Diameter = " & pupilDiam & " mm" A0ToX) |C  
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        ' Calculate new parameters with accommodation (r4\dp&  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness ]lY9[~ v  
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        Rant = 12.0 - 0.4*A                     'Radius of anterior lens \zUsHK?L"t  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens ccSSa u5N  
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        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens g]#Wve  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens luT8>9X^:a  
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        tlens = 3.767 + 0.04*A                  'Lens thickness h(-&.Sm")H  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction Dhoj|lc  
    ~}*;Ko\  
        'Adjust parameters to account for accommodation jlBCu(.,_  
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        '************************************************************************* jHCKV  
        'Aqueous thickness (Position of Lens) JPG!cX%  
        '************************************************************************* M6sDtL9l  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) pg)g&ifKl  
        GetCustomElement eID, entity o{p_s0IX;S  
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        parID = FindFullName( "Geometry.Arizona Eye" ) |Y11sDa9h  
    rE:>G]j6  
        ' Delete any shift(s) in z eZi<C}z  
        count = 0 "_j7kYAl  
        While GetOperationCount(eID)>count YC<I|&"  
            GetOperation eID, count, op pt#[.n#f  
            If op.Type="ShiftZ" Then -huZnDN  
                DeleteOperation eID,count N}G(pq}  
                count=count-1 VHCzlg  
            End If <*(R+to^d  
            count=count+1 "S:N- Tf%U  
        Wend +.I'U9QeUN  
    P;&p[[7  
        'Set new shift in F.D1;,x  
        op.Type = "ShiftZ" 5QJL0fc  
        op.val1 = taq 1 7oxD  
        op.parent = parID UAZ&*{MM^  
        AddOperation eID, op !++62Lf  
        Print "Set aqueous humor thickness = " & taq-0.55 (02(:;1  
    ASw |sw  
        '************************************************************************* J *?_SnZ  
        'Radius and conic constant of anterior lens 0pa^O$?p  
        '************************************************************************* Ai18]QD-  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) 6~W E#z_  
        GetConic eID, entity, curv, conic wf%Ep#^6}  
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        SetConic eID, entity, 1/Rant, CCant %)Dd{|c  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant d|RmU/)  
    ZS]f+}0/}  
        '************************************************************************* T l(uqY?9  
        'Radius and conic constant of posterior lens v^fOT5\  
        '************************************************************************* L"%eQHEC&  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) m?$G(E5  
        GetConic eID, entity, curv, conic x)ZH;)  
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        SetConic eID, entity, 1/Rpost, CCpost Ilb |:x"L  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost XF$]KA L0  
    3>)BI(Wl  
        '************************************************************************* z|)1l`  
        'Lens thickness (Position of posterior lens surface) {NgY8w QB  
        '************************************************************************* v=1S  
    }p?V5Qp  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) arVf"3a  
    B-'BJ|*4I  
        ' Delete any z-shift(s) M|e n>P  
        count = 0 xGv,%'u\  
        While GetOperationCount(eID)>count _kX/LR"L+  
            GetOperation eID, count, op mIEaWE;E"  
            If op.Type="ShiftZ" Then ![ID0}MjJ  
                DeleteOperation eID,count }IkEyJsk  
                count=count-1 p+UHJ&  
            End If b:cK>fh0_  
            count=count+1 1";e'? ^x  
        Wend l!V| T?  
    +{i "G,3  
        'Set new z-shift (A fbS=[  
        op.Type = "ShiftZ" ]{+M>i[  
        op.val1 = tlens }SN44 di(  
        op.parent = parID qZ_fQ@   
        AddOperation eID, op ,h.Jfo54,  
        Print "Set lens thickness = " & tlens UH&1c8y}  
    @<TZH  
        '************************************************************************* U{uWk3I_b  
        'Lens index of refraction G:C6`uiy`  
        '************************************************************************* }6,bq`MN  
        eID = FindMaterial( "Lens" ) A6y~_dt  
        GetModelMaterial eID, mat !vVjZ  
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        mat.Nd = nlens ^ R^N`V   
        SetModelMaterial eID, mat [piF MxZP  
        Print "Set lens index of refraction = " & nlens Yn]y d1  
    s5aOAyb*w  
        '************************************************************************* fZ~kw*0*  
        'Pupil diameter >c\v&k>6.  
        '************************************************************************* Sb9=$0%\  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) m<,G:?RM  
    akc"}+-oX  
        'Adjust pupil diameter (trimming volume inner hole) r]O@HVbt$  
    m-S33PG{  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" -WBz]GW4r  
    '[yqi1 &  
        ' Adjust pupil location to just in front of the lens b|8>eY  
        parID = FindFullName( "Geometry.Arizona Eye" ) Q()RO*9  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) m/c&/6nk  
        count = 0 g6/N\[b%  
        While GetOperationCount(eID)>count MD ?F1l"}%  
            GetOperation eID, count, op cvXI]+`<3\  
            If op.Type="ShiftZ" Then -,fa{yt-  
                DeleteOperation eID,count uyRA`<&w  
                count=count-1 )C01f ZhD  
            End If %v+fN?%x,d  
            count=count+1 (06Vcqg  
        Wend eo*u(@  
        op.Type = "ShiftZ" .m]=JC5'  
        op.val1 = taq-0.01 ~UJu @M  
        op.parent = parID  e(;`9T  
        AddOperation eID, op :_QAjU  
    JGO$4DK-1  
        Print "Set pupil diameter = " & pupilDiam $sL|'ZMbS  
    8K JQ(  
        'Update AZ Eye subassembly Description [' OCw {<  
        eID = FindFullName( "Geometry.Arizona Eye" ) )lDIzLp  
        GetEntity eID, entity #u<o EDQ  
        entity.Description = "Accommodation = " & A & "D" 7fW=5wc  
        SetEntity eID, entity eFj6p<  
    01{r^ZT`RH  
        Update {Sr=SE  
        Print "DONE!" _[{:!?-?  
         ldCKSWIi-  
    End Sub F@K*T2uh  
    0nD=|W\@{  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: bhqq  
    N{hF [F  
    Accommodation = 4 Diopters @ Zgl>  
    Pupil Diameter = 4 mm R<lNk<  
    Set aqueous humor thickness = 2.81 A M1C $  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 ^`jZKh8)h  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 C>:/(O  
    Set lens thickness = 3.927 }rY?=I  
    Set lens index of refraction = 1.42672 eb.cq"C  
    Set pupil diameter = 4 l\=-+'Y  
    DONE! >: W-C{%  
     
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