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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 {Z#e{~m#  
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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。 e"fN~`NhY  
    =naR{pI  
    模型 AfRW=&xdT  
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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。 zLsb`)!  
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    Table 1. AZ眼睛模型的定义
    !/j,hO4Z4  
    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. <)O >MI' 4  
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    光源 Q(510)  
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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。 p^1zIC>F  
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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。 %9C`  
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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。 /gz:zThf{  
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    图2. 字母F光源的设定方法光 ;gDMl57PQ.  
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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 l|YT[LR7  
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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。 q!6|lZB3  
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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。 8|O=/m^]  
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    图5. 视网膜重点采样规格设定
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    脚本 3bC+Mco  
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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: '\`6ot8  
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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。 ;54(+5pqx  
    余下的脚本计算与屈光度有关的所有参数。 x?"#gK`3;  
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    分析 [*8Y'KX <  
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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。 #^6^  
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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 u$%A#L[  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. KOey8tB)1  
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    Dim entity As T_ENTITY 2j&v;dmh<  
    Dim op As T_OPERATION vJ"i.:Gf4  
    Dim mat As T_MODELMATERIAL )%mg(O8uL  
    Dim A As Double BkawL,  
    Dim pupilDiam As Double a(;!O}3_)(  
    Dim eID As Long 2*[QZ9U[@  
    Dim parID As Long FJeiY#us  
    Dim count As Integer ;o0#(xVz  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double x5}lgyt  
    Dim tlens As Double, nlens As Double VWx]1\  
    Dim curv As Double, conic As Double .oqIZ\iik  
    Dim ok As Long wN97_Y=`n  
    e_.Gw"/Yl  
    Sub Main ]kD"&&HV  
    LY 0]l$  
        '用户输入对话框 -)v@jlg02  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 _ \D"E>oM  
            TextBox 220,21,40,21,.TextBox1 'default: 0 nirDMw[  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 O^Q ,-=tA\  
            OKButton 40,91,90,21 .5w azvA  
            CancelButton 190,91,90,21 OcmRZ  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 ` qUX.  
            TextBox 220,49,40,21,.TextBox2 'default: 4 %Jp|z? [/  
        End Dialog ! zL1;d  
        Dim dlg As UserDialog eF~dQ4RZ  
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        ok = Dialog (dlg) dtZE67KS  
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        If ok=0 Then    'cancel button was pressed ),(V6@Z?  
            Print "Execution cancelled." }!p`1]gem  
            End t~``md4  
        End If IgIYguQ   
    XJ1=m   
        'Assign accommodation and pupil diameter & use defaults if field left empty cA)[XpQ:+W  
        If dlg.TextBox1 = "" Then nhT-Ido  
            A = 0           'Default accommodation H1/?+N}(  
        Else o`n$b(VZ  
            A = CDbl(dlg.TextBox1) )5_jmW`n  
        End If ICC%,$C~l  
    -0Cnp/Yj@  
        If dlg.TextBox2 = "" Then mh.+."<)F  
            pupilDiam = 4   'Default pupil diameter ?QZ"JX])  
        Else ea'&xs#GK  
            pupilDiam = CDbl(dlg.TextBox2) x79Ha,  
        End If `R"~v/x  
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        Print " " -' g*^  
        Print "Accommodation = " & A & " Diopters" *.#oxcll  
        Print "Pupil Diameter = " & pupilDiam & " mm" ?t](a:IX  
    UC HZ2&  
        ' Calculate new parameters with accommodation  asHxL!  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness as*4UT3  
    s{0aBeq  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens CVNj- &vj  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens S35~Cp  
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        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens e:'?*BYVg3  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens XI<L;  
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        tlens = 3.767 + 0.04*A                  'Lens thickness 3ZEB  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction `d7n?|pD  
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        'Adjust parameters to account for accommodation km~Ll   
    '2^7-3_1  
        '************************************************************************* a.N{-2ptH  
        'Aqueous thickness (Position of Lens) VTy9_~q  
        '************************************************************************* El\%E"Tk%  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) 7lV.[&aKW  
        GetCustomElement eID, entity I$q]. B  
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        parID = FindFullName( "Geometry.Arizona Eye" ) I9h ?;(  
    'R-3fO???  
        ' Delete any shift(s) in z mKr h[nA  
        count = 0 yY?b.ty  
        While GetOperationCount(eID)>count *Kdda} J+  
            GetOperation eID, count, op (hiyNMC  
            If op.Type="ShiftZ" Then IxLhU45  
                DeleteOperation eID,count 8NyJc"T<.  
                count=count-1 ~ab:/!Z  
            End If 'AN>`\mR$  
            count=count+1 3k#~yaoI  
        Wend nRyU]=-X  
    =UUU$hq2  
        'Set new shift in Zm6{n '  
        op.Type = "ShiftZ" sMu] /'7  
        op.val1 = taq .o) `m9/  
        op.parent = parID lXcx@#~  
        AddOperation eID, op wF((  
        Print "Set aqueous humor thickness = " & taq-0.55 % qV 6  
    xJ#d1[kzo  
        '************************************************************************* UQ{L{H   
        'Radius and conic constant of anterior lens /p8dZ+X  
        '************************************************************************* "[y-+)WTG  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) ZK>WW  
        GetConic eID, entity, curv, conic ` ,SiA-3*  
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        SetConic eID, entity, 1/Rant, CCant /!c${W!sY  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant d_IAs  
    |JQQU! x  
        '************************************************************************* IiG6<|d8H  
        'Radius and conic constant of posterior lens tQS5hwm*  
        '************************************************************************* Q%xC}||1s"  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) I:mr}mv=i  
        GetConic eID, entity, curv, conic q FAT]{{  
    U&?v:&c#&n  
        SetConic eID, entity, 1/Rpost, CCpost 9I4K}R  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost [eC2"&}  
    tCdqh-   
        '************************************************************************* V,%=AR5  
        'Lens thickness (Position of posterior lens surface) ,^C--tgZJg  
        '************************************************************************* H '  
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        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) 0tXS3+@n =  
    Q\ 0cvmU  
        ' Delete any z-shift(s) s,]z[qB#$  
        count = 0 ME*LH r,  
        While GetOperationCount(eID)>count g"}%2~Urf  
            GetOperation eID, count, op ,^2>k3=  
            If op.Type="ShiftZ" Then Fvbh\m ~  
                DeleteOperation eID,count sVOyT*GY  
                count=count-1 G|!on<l&  
            End If ee^{hQi  
            count=count+1 ;IZwTXu!S  
        Wend R}!:'^  
    AJF#Aw `o  
        'Set new z-shift /w}u3|L$  
        op.Type = "ShiftZ" e]zBf;9 J  
        op.val1 = tlens y ~U #veY  
        op.parent = parID x8V('`}j  
        AddOperation eID, op oYH^_V  
        Print "Set lens thickness = " & tlens z?R|Ok  
    `u&Rsz&^  
        '************************************************************************* \D*KGd]M0  
        'Lens index of refraction <h:x=  
        '************************************************************************* "W955?4m  
        eID = FindMaterial( "Lens" ) L?mrba y  
        GetModelMaterial eID, mat %z,m B$LY  
    HMh"}I2n  
        mat.Nd = nlens ~d|A!S`  
        SetModelMaterial eID, mat ?kbiMs1;u  
        Print "Set lens index of refraction = " & nlens >I-RGW'A  
    of%Ktm5Qi  
        '************************************************************************* _x(o*v[Pt  
        'Pupil diameter Qp_isU  
        '************************************************************************* [\v}Ul  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) 5K>3My#  
    $5aV:Z3P  
        'Adjust pupil diameter (trimming volume inner hole) <lx+/o  
    Q ayPo]O  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" _E@2ZnD2  
    !Qu"BF   
        ' Adjust pupil location to just in front of the lens =Y|VgV  
        parID = FindFullName( "Geometry.Arizona Eye" ) .WA-&b_  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) x[ ~b2o  
        count = 0 lb4Pcd j  
        While GetOperationCount(eID)>count 4i)1'{e  
            GetOperation eID, count, op CkOz  
            If op.Type="ShiftZ" Then ,8U &?8l  
                DeleteOperation eID,count "l3_=Gua  
                count=count-1 +Vb.lH[av  
            End If X( \ AB  
            count=count+1 _S<3\%(0  
        Wend LG{,c.Qj*  
        op.Type = "ShiftZ" _{I3i:f9X8  
        op.val1 = taq-0.01 Xix L  R  
        op.parent = parID x -WmMfcz&  
        AddOperation eID, op 8]M;T>n[  
    JU1~e@/'%  
        Print "Set pupil diameter = " & pupilDiam KKj a/p  
    44ek IV+?  
        'Update AZ Eye subassembly Description '}ptj@,  
        eID = FindFullName( "Geometry.Arizona Eye" ) c69C  
        GetEntity eID, entity #^u$  
        entity.Description = "Accommodation = " & A & "D" R1adWBD>  
        SetEntity eID, entity \FQRNj?'_  
    \tf <B\oa  
        Update g/ T   
        Print "DONE!" YqhAZp<  
         pA'4|ffwe  
    End Sub k3lS8d7  
    BRw .]&/  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: g!g#]9j  
    }^ApJS(FQ  
    Accommodation = 4 Diopters 2%DSUv:H%  
    Pupil Diameter = 4 mm l5S aT,%  
    Set aqueous humor thickness = 2.81 zJq~!#pZ  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 -o ^7r@6  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 v,FU^f-'  
    Set lens thickness = 3.927 LdYB7T,  
    Set lens index of refraction = 1.42672 ]FJjgu<  
    Set pupil diameter = 4 Mo|;'+  
    DONE! }~YA5^VQ$  
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    QQ:2987619807 &Qf/>@ l}  
     
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