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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 B o%Sl  
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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。 c7[Ba\Cr4h  
    *<"{(sAvk  
    模型 f|/ ,eP$  
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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。 /Ah'KN|EN  
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    Table 1. AZ眼睛模型的定义
    /9Qr1@&v  
    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. 'w<^4/L Q  
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    光源 0~[M[T\  
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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。 n\BV*AH  
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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。 ]F;1l3I-  
    2#/sIu-L  
    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。 ;K4uu<e \  
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    图2. 字母F光源的设定方法光 <*/Z>Z_c2  
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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 jJ'NYG  
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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。 ?=-/5A4K  
    *1:kIi7_  
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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。 >f1fvv6  
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    图5. 视网膜重点采样规格设定
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    脚本 F/:%YR;  
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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: ^\\9B-MvY  
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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。 CEzdH!nP  
    余下的脚本计算与屈光度有关的所有参数。 [;:ocy  
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    分析 mGmZ}H'{  
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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。 V;Ln|._/t  
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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 )}_}D +2  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. "st+2#{  
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    Dim entity As T_ENTITY ^bdXzjf  
    Dim op As T_OPERATION qn}VW0!  
    Dim mat As T_MODELMATERIAL K&"X7fQ  
    Dim A As Double A4KkX  
    Dim pupilDiam As Double Uw3wR!:  
    Dim eID As Long @2_ E9{T  
    Dim parID As Long ']1a  
    Dim count As Integer CqU^bVs  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double _?I*:: I  
    Dim tlens As Double, nlens As Double Wu8zK=Ve(  
    Dim curv As Double, conic As Double qIh9? |`U  
    Dim ok As Long U5?QneK  
    "zqa:D26  
    Sub Main 5HY0 *\  
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        '用户输入对话框 2)QZYgfh  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 3m$Qd#|  
            TextBox 220,21,40,21,.TextBox1 'default: 0 h b}QtQ  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 G2P:|R  
            OKButton 40,91,90,21 p&HO~J <w  
            CancelButton 190,91,90,21 [.C P,Ly  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 (>lH=&%zj  
            TextBox 220,49,40,21,.TextBox2 'default: 4 8;f5;7M n  
        End Dialog 'Ddzlip  
        Dim dlg As UserDialog E9 @Sc>e  
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        ok = Dialog (dlg) rD !GEU  
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        If ok=0 Then    'cancel button was pressed (eHTXk*V`  
            Print "Execution cancelled." 'UuHyC2Ha3  
            End i]qxF&1  
        End If S{{wcH$n'i  
    -"#jRP]#  
        'Assign accommodation and pupil diameter & use defaults if field left empty (/{bJt~b  
        If dlg.TextBox1 = "" Then BV}sN{  
            A = 0           'Default accommodation K&T.~2'>  
        Else ^D ;EbR  
            A = CDbl(dlg.TextBox1) ;Qc^xIPy  
        End If ]bstkf}~u  
    2dbn~j0  
        If dlg.TextBox2 = "" Then Jq8v69fyQ  
            pupilDiam = 4   'Default pupil diameter wk1/&  
        Else 79h'sp6;  
            pupilDiam = CDbl(dlg.TextBox2) PO:sF]5  
        End If N]\)Ok  
    nD!t*P  
        Print " "  <$K7f  
        Print "Accommodation = " & A & " Diopters" 7m:TY>{  
        Print "Pupil Diameter = " & pupilDiam & " mm" u4 ~.[3E*  
    b"OHXu  
        ' Calculate new parameters with accommodation .VohW=D3  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness J?hs\nA  
    p )WRsJ8  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens {*<%6?  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens 8u1?\SYnb  
    T!^v^m@>y  
        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens f=7[GZoDn  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens *,=8x\Shp  
    2|NQ5OA0  
        tlens = 3.767 + 0.04*A                  'Lens thickness 2NB $(4/  
    BE54L+$p  
        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction OgHqF,0MN  
    'X ?Iho  
        'Adjust parameters to account for accommodation /1Ss |.  
    F4ylD5Y!  
        '************************************************************************* k3]qpWKj  
        'Aqueous thickness (Position of Lens) us.IdG  
        '************************************************************************* 19%zcYTe  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) ~w.y9)",  
        GetCustomElement eID, entity ^E~1%Md.  
    _c(h{dn  
        parID = FindFullName( "Geometry.Arizona Eye" ) wT-K g=-q  
    P5GV9SA  
        ' Delete any shift(s) in z G 6xN R  
        count = 0 (aq-aum-I  
        While GetOperationCount(eID)>count HJd{j,M  
            GetOperation eID, count, op `91Z]zGpU  
            If op.Type="ShiftZ" Then ^SM5oK  
                DeleteOperation eID,count 6:Y2z!MLO  
                count=count-1 j'lC]}kH  
            End If wbg ?IvY[  
            count=count+1 /fU -0a8  
        Wend o'Y/0hkh  
    SQ'%a-Mct  
        'Set new shift in BaMF5f+  
        op.Type = "ShiftZ" :lK8i{o  
        op.val1 = taq ~3%aEj  
        op.parent = parID Y)#,6\=U  
        AddOperation eID, op !JVv`YN  
        Print "Set aqueous humor thickness = " & taq-0.55 }VHvC"   
    #5iwDAw:|r  
        '************************************************************************* <$C3] =2  
        'Radius and conic constant of anterior lens . +,{|){c  
        '************************************************************************* p1T0FBV L  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) @xk;]H80  
        GetConic eID, entity, curv, conic vN~joQ=d  
    j9-.bGtm?.  
        SetConic eID, entity, 1/Rant, CCant u<+"#.[2v~  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant =-qYp0sVP  
    7g%\+%F I  
        '************************************************************************* 5X uQQ!`  
        'Radius and conic constant of posterior lens _94R8?\_V7  
        '************************************************************************* %MEWw  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) |;I"Oc.w^R  
        GetConic eID, entity, curv, conic JbN,K  
    Ylgr]?Db*  
        SetConic eID, entity, 1/Rpost, CCpost W*,$0 t  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost #F6M<V'  
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        '************************************************************************* &2n 5m&   
        'Lens thickness (Position of posterior lens surface) u(PUbxJ V  
        '************************************************************************* WmRu3O  
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        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) by$mD_sr  
    g!)*CP#;  
        ' Delete any z-shift(s) iP1yy5T  
        count = 0 |3hNTH?  
        While GetOperationCount(eID)>count m6Qm }""  
            GetOperation eID, count, op Qv)DSl  
            If op.Type="ShiftZ" Then 57_AJT hR  
                DeleteOperation eID,count Qtt3;5m  
                count=count-1 n;QFy5HB8  
            End If =GiN~$d  
            count=count+1 Z!4B=?(  
        Wend Nk1p)V SC  
    }C$D-fH8sW  
        'Set new z-shift O:8Ne*L`D  
        op.Type = "ShiftZ" ?KE:KV[Y  
        op.val1 = tlens Zq:c2/\c}  
        op.parent = parID jHV) TBr  
        AddOperation eID, op X+ /^s)  
        Print "Set lens thickness = " & tlens Pj5:=d8z(  
    4E$d"D5]>p  
        '************************************************************************* A-h[vP!v|  
        'Lens index of refraction ']Z%6_WF  
        '************************************************************************* e488}h6#m  
        eID = FindMaterial( "Lens" ) };f^*KZ=0  
        GetModelMaterial eID, mat &G?w*w_n  
    *q@3yB}  
        mat.Nd = nlens ]@CXUa,>a  
        SetModelMaterial eID, mat }|nEbM]#  
        Print "Set lens index of refraction = " & nlens '>Thn{  
    Oe;1f#` 5  
        '************************************************************************* J?1Eh14KZ  
        'Pupil diameter we kb&?  
        '************************************************************************* ?!3u ?Kd  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) bP%X^q~]A  
    n' 1LNi  
        'Adjust pupil diameter (trimming volume inner hole) u]]mbER*t#  
    QoMa+QTuc  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" R''2o_F6  
    " ^!=e72  
        ' Adjust pupil location to just in front of the lens /2 qxJvZ  
        parID = FindFullName( "Geometry.Arizona Eye" ) 6B}V{2  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) uX6rCokr  
        count = 0 aFL<(,~r  
        While GetOperationCount(eID)>count V|<'o<h8  
            GetOperation eID, count, op mt[ #=Yba  
            If op.Type="ShiftZ" Then IiY%y:!g  
                DeleteOperation eID,count gyU=v{].  
                count=count-1 l vBcEg  
            End If yvnvIy  
            count=count+1 b$tf9$f  
        Wend %2^V.`0T  
        op.Type = "ShiftZ" BG6Lky/omz  
        op.val1 = taq-0.01 -WGlOpg0;  
        op.parent = parID M" $g*j  
        AddOperation eID, op iaQFVROu  
    \@zoM:[sN  
        Print "Set pupil diameter = " & pupilDiam R?J8#JPXD  
    8[a N5M]  
        'Update AZ Eye subassembly Description >}d6)s|   
        eID = FindFullName( "Geometry.Arizona Eye" ) VS65SxHA  
        GetEntity eID, entity #(Yd'qKo  
        entity.Description = "Accommodation = " & A & "D" ~N )(|N  
        SetEntity eID, entity @2>ce2+  
    V2g"5nYT  
        Update %2beoH'  
        Print "DONE!" V h5\'Sn  
         [lz H%0 V  
    End Sub "Q{7X[$$^  
    Mv:\T%]  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: V-"#Kf9  
    ghk"XJ|  
    Accommodation = 4 Diopters ft!D2M  
    Pupil Diameter = 4 mm CYM>4C~>JW  
    Set aqueous humor thickness = 2.81 v(,YqT>q@U  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 F'ez{ B\AX  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 R0F&!y!B  
    Set lens thickness = 3.927 %mOQIXr1s  
    Set lens index of refraction = 1.42672 Ki /j\  
    Set pupil diameter = 4 1`Uu;mz  
    DONE! 'a~F'FN$  
     
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