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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 |w^nCsv  
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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。 v?1xYG@1  
    wvSaq+N  
    模型 s2+s1%^Ll  
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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。 XAr YmO  
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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. ~|)'vK8W  
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    光源 ,}#l0 BY  
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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。 3>sA_  
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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。 ny~~xQ"  
    Vz&!N/0i  
    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>ps99[=  
    Yf(QU`w_  
    图2. 字母F光源的设定方法光 "Tm`V9  
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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 p[%FH?  
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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。 DPZG_{3D  
    i/U HDqZ  
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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。 J;g+  
    qMe$Qr8  
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    图5. 视网膜重点采样规格设定
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    脚本 mMvt#+O  
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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: y\&`A:^[ A  
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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。 xeX Pc7JG  
    余下的脚本计算与屈光度有关的所有参数。 _0<EbJ8Z  
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    分析 qJN2\e2~f  
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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。 ~sSlfQWMzy  
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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 C<\|4ERp  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. <O cD[5  
    T0ebW w  
    Dim entity As T_ENTITY E8~Bp-G)  
    Dim op As T_OPERATION Y\ len  
    Dim mat As T_MODELMATERIAL N(W ;(7  
    Dim A As Double X99:/3MXB'  
    Dim pupilDiam As Double Bp`?inKBOd  
    Dim eID As Long K -!YD}OF  
    Dim parID As Long &AI/;zru  
    Dim count As Integer 1#9Q1@'OS  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double $)M8@d  
    Dim tlens As Double, nlens As Double h`OX()N  
    Dim curv As Double, conic As Double #AzZ4<;7  
    Dim ok As Long eEIa=MB*  
    '8v^.gZ  
    Sub Main D0D0=s  
    ([='LyH];z  
        '用户输入对话框 >v9 ("  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 1O0o18'  
            TextBox 220,21,40,21,.TextBox1 'default: 0 7c9-MP)  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 _ a|zvH  
            OKButton 40,91,90,21 t/\J  
            CancelButton 190,91,90,21 N246RV1W  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 @JS O=8  
            TextBox 220,49,40,21,.TextBox2 'default: 4 lz?F ,].  
        End Dialog J)iy6{0"  
        Dim dlg As UserDialog C#`VVtei  
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        ok = Dialog (dlg) K%ltB&  
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        If ok=0 Then    'cancel button was pressed -9)<[>:  
            Print "Execution cancelled." G%w hOIFRq  
            End qr[H0f]  
        End If z^to"j  
    ixZ w;+h  
        'Assign accommodation and pupil diameter & use defaults if field left empty Gk0f#;  
        If dlg.TextBox1 = "" Then <GI{`@5C  
            A = 0           'Default accommodation ;H5PiSq;z  
        Else Q<.84 7 )  
            A = CDbl(dlg.TextBox1) UGK4uK+I`  
        End If tY^MP5*  
    [!B($c|\  
        If dlg.TextBox2 = "" Then J fFOU!F\  
            pupilDiam = 4   'Default pupil diameter `VT[YhO#}  
        Else o qa]iBO  
            pupilDiam = CDbl(dlg.TextBox2) ^| L@f  
        End If (5y+g?9d;  
    *6 oQW  
        Print " " 3A'vq2beM  
        Print "Accommodation = " & A & " Diopters" '`$z!rA  
        Print "Pupil Diameter = " & pupilDiam & " mm" X(nbfh?n  
    :uE:mY%R  
        ' Calculate new parameters with accommodation 3[plwe  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness E?1"&D m  
    [;3` Aw  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens zWYm* c"n\  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens >6ul\xMU  
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        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens zi7,?bD  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens n4Od4&r  
    Fdsaf[3[v  
        tlens = 3.767 + 0.04*A                  'Lens thickness BFP (2j  
    t .*z)N  
        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction Ff xf!zS  
    =~M%zdIXv  
        'Adjust parameters to account for accommodation 5}d"nx  
    }!=}g|z#|  
        '************************************************************************* :td#zM  
        'Aqueous thickness (Position of Lens) `NqX{26GV+  
        '************************************************************************* ,f ..46G  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) 0J-]  
        GetCustomElement eID, entity /XtpGk_1)  
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        parID = FindFullName( "Geometry.Arizona Eye" ) H4[];&]xr  
    #w\Bc\  
        ' Delete any shift(s) in z T=6fZ;7  
        count = 0 P%`|Tu!B  
        While GetOperationCount(eID)>count fx &b*O C  
            GetOperation eID, count, op zs! }P  
            If op.Type="ShiftZ" Then |_q:0qo  
                DeleteOperation eID,count bqjj6bf'o  
                count=count-1 HPT{83  
            End If 6(1xU\x  
            count=count+1 f>$Ld1  
        Wend [C)JI;\  
    ^B[%|{cO  
        'Set new shift in {k.Dy92  
        op.Type = "ShiftZ" @]$qJFXx  
        op.val1 = taq  g wM~W  
        op.parent = parID 6*3J3Lc_<  
        AddOperation eID, op ~ KNdV  
        Print "Set aqueous humor thickness = " & taq-0.55 )aY^k|I  
    2,.%]U  
        '************************************************************************* a%f?OsY  
        'Radius and conic constant of anterior lens '_)NI  
        '************************************************************************* {=]1]IWt  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) 8SmtEV[b3  
        GetConic eID, entity, curv, conic =/xTUI4  
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        SetConic eID, entity, 1/Rant, CCant 4 j9  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant -oGJPl{r  
    2p3ep,  
        '************************************************************************* 3fC|}<Wzt  
        'Radius and conic constant of posterior lens 9y/gWE  
        '************************************************************************* }2qmL$  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) Wl3jbupu _  
        GetConic eID, entity, curv, conic qkX}pQkG)h  
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        SetConic eID, entity, 1/Rpost, CCpost V&)lS Qw  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost XAN{uD^3\%  
    F$a?} }  
        '************************************************************************* .;6G?8`  
        'Lens thickness (Position of posterior lens surface) nsChNwPX  
        '************************************************************************* YXC?q  
    ni @Mqb  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) Zkn$D:  
    G/tah@N[7  
        ' Delete any z-shift(s)  4{2)ZI#  
        count = 0 b}P5*}$:9"  
        While GetOperationCount(eID)>count <.c@l,[.z  
            GetOperation eID, count, op 9:tvkl  
            If op.Type="ShiftZ" Then .:eNL]2%:  
                DeleteOperation eID,count ~z''kH=e  
                count=count-1 ,,+ ~./)  
            End If Z  Mp  
            count=count+1 _E({!t"`  
        Wend :Uu Py|>  
    ;1Kxqp z_i  
        'Set new z-shift i*16k dI.  
        op.Type = "ShiftZ" 5gpqN)|)[  
        op.val1 = tlens F">>,Oc)U"  
        op.parent = parID .HTX7mA3  
        AddOperation eID, op t(SSrM]  
        Print "Set lens thickness = " & tlens #A|~s;s>N  
    ~<0!sE&y  
        '************************************************************************* 7h?yAgDv~  
        'Lens index of refraction I+ipTeB^  
        '************************************************************************* ,6[}qw) *  
        eID = FindMaterial( "Lens" ) m.~&n!1W*`  
        GetModelMaterial eID, mat ;]<{ <czc  
    PPCZT3c=  
        mat.Nd = nlens q9n0bw^N  
        SetModelMaterial eID, mat wEK@B&DV  
        Print "Set lens index of refraction = " & nlens .ON+ ( #n  
    *qcL(] Yq  
        '************************************************************************* U:]b&I  
        'Pupil diameter yVPkJ  
        '************************************************************************* \FOX#|i)  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) s)]Z*#ZZ  
    cK.T=7T  
        'Adjust pupil diameter (trimming volume inner hole) UXB[3SP  
    SU, t,i  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" I>b-w;cC  
    )2X ng_,  
        ' Adjust pupil location to just in front of the lens g{8 R+  
        parID = FindFullName( "Geometry.Arizona Eye" ) x{io*sY-  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) zE V J  
        count = 0 QjfQoT F  
        While GetOperationCount(eID)>count n3{m "h3  
            GetOperation eID, count, op P=& Je?  
            If op.Type="ShiftZ" Then (sw1HR  
                DeleteOperation eID,count "m]"%MU7 8  
                count=count-1 t" 1'B!4  
            End If $;*YdZ`q  
            count=count+1 G)l[\6Dn  
        Wend o"^}2^)_SR  
        op.Type = "ShiftZ" zx\N^R;Jq  
        op.val1 = taq-0.01 )@Yp;=l  
        op.parent = parID qR<  
        AddOperation eID, op amf=uysr  
    {+[~;ISL  
        Print "Set pupil diameter = " & pupilDiam =$5[uI2  
    uPe4Rr  
        'Update AZ Eye subassembly Description &sL5 Pt_  
        eID = FindFullName( "Geometry.Arizona Eye" ) wxZnuCO%H8  
        GetEntity eID, entity lwLK#_5u  
        entity.Description = "Accommodation = " & A & "D" yz-IZt(  
        SetEntity eID, entity !)tXN=(1a  
    6<H[1PI`,G  
        Update ,TU!W|($  
        Print "DONE!" 9#%(%s 2 +  
         +7<{yP6wU  
    End Sub XzQ=8r>l  
    :EyH'v  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: :5?ti  
    > c7/E  
    Accommodation = 4 Diopters ac.O#6&  
    Pupil Diameter = 4 mm #I@]8U#,":  
    Set aqueous humor thickness = 2.81 l3}n.ODA  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 i`r,B`V`08  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 "}K/ b  
    Set lens thickness = 3.927 k`js~/Xv  
    Set lens index of refraction = 1.42672 +nd'Uf   
    Set pupil diameter = 4 1 7{]QuqNF  
    DONE! :=~%&  
    W<2%J)N<  
    cFUYT$8>  
    QQ:2987619807 ?9vBn  
     
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