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    [转载]FRED运用:Arizona眼睛模型 [复制链接]

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    离线xunjigd
     
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    只看楼主 倒序阅读 楼主  发表于: 2016-02-24
    简介 -d8TD*^  
    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。 WxW7qt  
    L>MLi3{  
    模型 4Yxo~ m(  
    /nyUG^5#{  
    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。 eKgisY4#  
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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. e .]KL('  
    0="%Y ^N  
    光源 ,pqGX3  
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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。 =fu :@+  
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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。 z)'Mk[  
    UH]l9Aq$P  
    在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 dArDP[w  
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    图2. 字母F光源的设定方法光 M9EfU  
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    图3. 字母F在视网膜上位置点列图
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    视网膜的散射 ="x\`+U  
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    在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 &F\?  
    OTMJ6)n7  
    ]x\-$~E  
    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。 S?RN?1  
    -cZDG t  
    QF{4/y^j{  
    图5. 视网膜重点采样规格设定
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    脚本 [E+$?a=  
    /b]oa !  
    内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: =g/{%;  
    A6GE,FhsG  
    图6. 用户对话框的创建与编辑
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    图7. 用户对话框编辑器
    ?g?L3vRK  
    如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 ,z3{u162  
    余下的脚本计算与屈光度有关的所有参数。 0|2%vh>J  
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    分析 CF+_/s#j^  
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    屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 i-bJS6  
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    图7. 字母F在视网膜上颜色分析
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    脚本代码 8aO~/i:(.  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. 1&^MfP}  
     -QOw8vm  
    Dim entity As T_ENTITY 1"/He ` 4  
    Dim op As T_OPERATION \cC%!4  
    Dim mat As T_MODELMATERIAL ,oaw0Vw  
    Dim A As Double G"X8}:}  
    Dim pupilDiam As Double la( <8  
    Dim eID As Long =Vy`J)z9  
    Dim parID As Long _/Gczy4)#  
    Dim count As Integer f@8>HCI  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double b8LoIY*  
    Dim tlens As Double, nlens As Double 5O~HWBX.  
    Dim curv As Double, conic As Double 0@G")L Ue0  
    Dim ok As Long S|apw7C  
    +x_Rfk$fb  
    Sub Main ^xh}I5  
    z |a sa*  
        '用户输入对话框 SG-'R1 J  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 c7tfRq n+  
            TextBox 220,21,40,21,.TextBox1 'default: 0 v z^<YZMu  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 vFE;D@bz:  
            OKButton 40,91,90,21 ?_"+^R z  
            CancelButton 190,91,90,21 bx]N>k J  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 Q-MQ9'  
            TextBox 220,49,40,21,.TextBox2 'default: 4 2P/K K  
        End Dialog f 1w~!O9  
        Dim dlg As UserDialog 2>86oP&  
    '~ ,p[  
        ok = Dialog (dlg) 66.5QD0  
    eFpTW&9n  
        If ok=0 Then    'cancel button was pressed 9AxCiT.  
            Print "Execution cancelled." U+)xu>I  
            End ZKQG:M~|  
        End If R  zf  
    M9y <t'  
        'Assign accommodation and pupil diameter & use defaults if field left empty ?T>'j mmV=  
        If dlg.TextBox1 = "" Then q4}PM[K?=\  
            A = 0           'Default accommodation slg ]#Dy  
        Else S+'rG+NJ  
            A = CDbl(dlg.TextBox1) +n<k)E@>J  
        End If NZ/yBOD(  
    n) k1  
        If dlg.TextBox2 = "" Then DyeQJ7p  
            pupilDiam = 4   'Default pupil diameter N@Y ljz|  
        Else vC1v"L;[o/  
            pupilDiam = CDbl(dlg.TextBox2) UB 6mqjPK  
        End If fv`O4  
    s<9RKfm  
        Print " " 6oLwfTy  
        Print "Accommodation = " & A & " Diopters" ,WvY$_#xW%  
        Print "Pupil Diameter = " & pupilDiam & " mm" :um|nRwy9  
    ;9~6_@,@o  
        ' Calculate new parameters with accommodation  .&9 i  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness PH> b-n  
    '@jXbN  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens %{/%mJoX  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens 3t<a $i  
    _~rI+lA  
        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens O~59FuL  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens ]d a^xWK  
    }~"hC3w  
        tlens = 3.767 + 0.04*A                  'Lens thickness  ?p(/_@  
    lW(px^&IN  
        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction QHWBAGA  
    X=Ys<TM,  
        'Adjust parameters to account for accommodation p=C%Hmd5E  
    W-.pmU e2  
        '************************************************************************* 6I!7c^]t  
        'Aqueous thickness (Position of Lens) mwY IJy[  
        '************************************************************************* $&<uT  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" )  ;zYqsS  
        GetCustomElement eID, entity :^Fh!br==  
    `2`\]X_A{  
        parID = FindFullName( "Geometry.Arizona Eye" ) BCe|is0  
    B*~5)}1op  
        ' Delete any shift(s) in z `;l?12|X  
        count = 0 ^Ve<>b  
        While GetOperationCount(eID)>count t=u  Qb=  
            GetOperation eID, count, op {X*^s5{;H  
            If op.Type="ShiftZ" Then Gg~QAsks   
                DeleteOperation eID,count #7ov#_2Jd  
                count=count-1 >IX/< {);M  
            End If 549jWG  
            count=count+1 +=]!P#  
        Wend ZVbl88,(l  
    NM0tp )h  
        'Set new shift in _>=L>*  
        op.Type = "ShiftZ" !<UJ6t}  
        op.val1 = taq hFk3[zTy  
        op.parent = parID ~}!3G  
        AddOperation eID, op +8v9flh  
        Print "Set aqueous humor thickness = " & taq-0.55 2-"0 ^n{  
    0vVV%,v  
        '************************************************************************* O/.Uh`T`6  
        'Radius and conic constant of anterior lens rz"txN  
        '************************************************************************* xGU(n _Y  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) { .*y  
        GetConic eID, entity, curv, conic kKPi:G52F  
    hzI|A~MFB  
        SetConic eID, entity, 1/Rant, CCant % , N<  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant  f>s?4  
    S.Z9$k%   
        '************************************************************************* = pI?A^  
        'Radius and conic constant of posterior lens 2P]L9'N{Y  
        '************************************************************************* Wm H~m k"  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) _{Sm k [  
        GetConic eID, entity, curv, conic / }Rz=&  
    Cn>ADWpT&  
        SetConic eID, entity, 1/Rpost, CCpost $5v0m#[^  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost ]c&<zeX,  
    d/}SAvtt  
        '************************************************************************* u7xDau(c  
        'Lens thickness (Position of posterior lens surface) <BSc* 9Q  
        '************************************************************************* "+zCS|   
    A>[|g`;t  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) w=|GJ 0  
    R/^u/~<  
        ' Delete any z-shift(s) DAwqo.m  
        count = 0 s;1]tD  
        While GetOperationCount(eID)>count |A%<Z(  
            GetOperation eID, count, op }gkM^*$:%  
            If op.Type="ShiftZ" Then \`, [)`  
                DeleteOperation eID,count vsL[*OeI  
                count=count-1 tX!n sm1  
            End If EwS!]h?  
            count=count+1 i5>+}$1  
        Wend +525{Tj  
    y7S4d~&  
        'Set new z-shift .XkMk|t8  
        op.Type = "ShiftZ" % aUsOB-RV  
        op.val1 = tlens k<RZKwQc  
        op.parent = parID 0 a~HiIh  
        AddOperation eID, op 66#"  
        Print "Set lens thickness = " & tlens \m=?xb8 f  
    `MEYd U1  
        '************************************************************************* vA)O {W\o  
        'Lens index of refraction P/JK$nb  
        '************************************************************************* 341?0 %=  
        eID = FindMaterial( "Lens" ) 8 4i_k  
        GetModelMaterial eID, mat v`V7OD#:j]  
    ?0_7?yTR/  
        mat.Nd = nlens oo=#XZkk  
        SetModelMaterial eID, mat QRLJ_W^&u  
        Print "Set lens index of refraction = " & nlens x f4{r+  
    kAM1TWbaVQ  
        '************************************************************************* YUQtMf9  
        'Pupil diameter 7O`o ovW$  
        '************************************************************************* - }!H3]tr  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) q!f1~aG  
    kkvtB<<Y  
        'Adjust pupil diameter (trimming volume inner hole) ri1C-TJM)  
    /U6% %%-D`  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" o$C| J]%  
    dr{y0`CCN  
        ' Adjust pupil location to just in front of the lens 9_fePS|Z4  
        parID = FindFullName( "Geometry.Arizona Eye" ) _MWM;f`b  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) |wox1Wt|E  
        count = 0 D;Gq)]O  
        While GetOperationCount(eID)>count +%N KQ'49I  
            GetOperation eID, count, op Pv<FLo%u<  
            If op.Type="ShiftZ" Then iqhOi|!  
                DeleteOperation eID,count *2}O-e  
                count=count-1 M[~{Vd  
            End If `]$?uQ  
            count=count+1 yMLOUUWa8x  
        Wend kCUT ^  
        op.Type = "ShiftZ" 19(Dj&x  
        op.val1 = taq-0.01 u@p?  
        op.parent = parID hNXBVIL<&  
        AddOperation eID, op e75UMWaeC  
    0aR,H[r[?  
        Print "Set pupil diameter = " & pupilDiam PN$ .X"D8  
    7%OKH<i\2<  
        'Update AZ Eye subassembly Description qQ7w&9r.M  
        eID = FindFullName( "Geometry.Arizona Eye" ) j%<}jw[2  
        GetEntity eID, entity 4R>zPEo  
        entity.Description = "Accommodation = " & A & "D" Je4Z(kj 0  
        SetEntity eID, entity xx*2?i  
    BO.dz06(Rw  
        Update _SZ5P>GIU  
        Print "DONE!" ]WJfgN4  
         (1pEEq84  
    End Sub jnu Y{0(&  
    5 / m$)wE  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: 6Ggs JU  
    ?p[O%_Xf  
    Accommodation = 4 Diopters [O-sVYB  
    Pupil Diameter = 4 mm /T0nLp`gi  
    Set aqueous humor thickness = 2.81 {+("C] b  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 >+cVs:  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 lf>nbvp  
    Set lens thickness = 3.927 (I{ $kB"p  
    Set lens index of refraction = 1.42672 %up}p/?  
    Set pupil diameter = 4 1'6cGpZY  
    DONE! rFJ[dz  
    H L<s@kEZ  
    (文章来源:讯技光电)
     
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