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    [分享]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: 2020-12-09
    简介 JxQwxey{  
    @ ADY?  
    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%.z+7I  
    |Y<ca   
    模型 PiB)pUYj  
    *f8,R"]-g  
    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。 QnxkD)f*0  
    |D^Q}uT  
    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. cFLu+4.jsG  
    hE:P'O1  
    光源 "sFdrXJ  
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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。 ;J\{r$q  
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    图1. 光源和提示信息使用
    #)R;6"  
    除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 We#*.nr{3Z  
    HqgTu`  
    在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 >/n5=RWh  
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    图2. 字母F光源的设定方法光 ]_BG"IR!..  
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    图3. 字母F在视网膜上位置点列图
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    视网膜的散射 LWbWj ^  
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    在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 w & RpQcV  
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    图4. 视网膜朗伯散射设定
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    注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 <O$'3 _S"D  
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    图5. 视网膜重点采样规格设定
    6X|KKsPzX  
    脚本 l^`!:BOtR  
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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: -I=}SZ  
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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。 `ss]\46>  
    余下的脚本计算与屈光度有关的所有参数。 6%S>~L66  
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    分析 c<&+[{|  
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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。 |P?8<8p  
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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 h]EXD   
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. #gN{8Yk>  
    XVv7W5/q]  
    Dim entity As T_ENTITY VDnAQ[T@d  
    Dim op As T_OPERATION KktTR`W  
    Dim mat As T_MODELMATERIAL #-lk=>  
    Dim A As Double wFqz.HoB  
    Dim pupilDiam As Double *fd` .}  
    Dim eID As Long M.OWw#?p:_  
    Dim parID As Long jilO%  "  
    Dim count As Integer rkD4}jV  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double t*}<v@,  
    Dim tlens As Double, nlens As Double [2\`Wh:%P  
    Dim curv As Double, conic As Double T@Q<oNU  
    Dim ok As Long :m$%D]WY  
    W' 2)$e  
    Sub Main ]`4 QJ ;#  
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        '用户输入对话框 uk'<9g^  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 2!6Kzq  
            TextBox 220,21,40,21,.TextBox1 'default: 0 "   c  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 t o?"{  
            OKButton 40,91,90,21 e1/|PgT(KM  
            CancelButton 190,91,90,21 Ow^%n(Ezh  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 '\_)\`a|  
            TextBox 220,49,40,21,.TextBox2 'default: 4 i{e<kKh  
        End Dialog rRt<kTk!U  
        Dim dlg As UserDialog W@S9}+wl*  
    ah<f&2f  
        ok = Dialog (dlg) [cW  
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        If ok=0 Then    'cancel button was pressed h=U 4  
            Print "Execution cancelled." *xjIl<`pK  
            End JWdG?[$  
        End If 5g5pzww  
    AN1bfF:C  
        'Assign accommodation and pupil diameter & use defaults if field left empty h n ]6he  
        If dlg.TextBox1 = "" Then U&/S  
            A = 0           'Default accommodation $?GO|.59  
        Else }N|/b"j9  
            A = CDbl(dlg.TextBox1) >5gzo6j/  
        End If X'F$K!o*,:  
    {vH8X(m  
        If dlg.TextBox2 = "" Then "nefRz%j+  
            pupilDiam = 4   'Default pupil diameter )/pPY  
        Else }wb;ulN)  
            pupilDiam = CDbl(dlg.TextBox2) DtN6.9H2`  
        End If E<4}mSn)  
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        Print " " |S}*M<0  
        Print "Accommodation = " & A & " Diopters" $G}Q}f  
        Print "Pupil Diameter = " & pupilDiam & " mm" >k#aB.6  
    c,fedH;  
        ' Calculate new parameters with accommodation ujh4cp  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness ~zX5}U<R  
    l85" C  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens 'ng/A4  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens od fu7P_  
    _L72Ae(_  
        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens igL^k`&5^"  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens CUG<v3\  
    U,S286  
        tlens = 3.767 + 0.04*A                  'Lens thickness u^uG_^^,/  
    K!~ ](_W!  
        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction # 0 (\s@r.  
    Uwk|M?94  
        'Adjust parameters to account for accommodation [<;2C  
    T{M:)}V  
        '************************************************************************* /km3L7L%R  
        'Aqueous thickness (Position of Lens)  f#nmr5F  
        '************************************************************************* HXQ rtJ  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) jY.%~Y1y  
        GetCustomElement eID, entity i5"q1dRQ  
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        parID = FindFullName( "Geometry.Arizona Eye" ) QMY4%uyY!  
    8(;i~f:bCW  
        ' Delete any shift(s) in z IA4(^-9  
        count = 0 (jG$M=q-  
        While GetOperationCount(eID)>count F)w83[5_d  
            GetOperation eID, count, op hH/ O2  
            If op.Type="ShiftZ" Then `ahXn  
                DeleteOperation eID,count :JIPF=]fc  
                count=count-1 g-}sVvM  
            End If 9R[','x  
            count=count+1 ;p ('cwU%  
        Wend ZM?r1Z4  
    K=)R!e8  
        'Set new shift in NZ5~\k  
        op.Type = "ShiftZ" WXU6 J?tIm  
        op.val1 = taq {LDb*'5Cy  
        op.parent = parID QR'g*Bro  
        AddOperation eID, op pH [lj8S  
        Print "Set aqueous humor thickness = " & taq-0.55 O :^[4$~  
    O2dgdtm  
        '************************************************************************* gEsR-A!m  
        'Radius and conic constant of anterior lens r|@?v,  
        '************************************************************************* Ke'2"VkQt  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) 3(&F.&C$$  
        GetConic eID, entity, curv, conic M(uB ;Te  
    L#Y;a 5b  
        SetConic eID, entity, 1/Rant, CCant yFo5pKF.J  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant PEIr-qs%D  
    BaAb4{  
        '************************************************************************* 1_C6KS  
        'Radius and conic constant of posterior lens j.}V~Sp*  
        '************************************************************************* "r"An"  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) $"{3i8$3mT  
        GetConic eID, entity, curv, conic =[+&({  
    5qEdN  
        SetConic eID, entity, 1/Rpost, CCpost F4%[R)  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost z]AS@}wWqg  
    ;hJ*u  
        '************************************************************************* pNFIO t:(  
        'Lens thickness (Position of posterior lens surface) <1BK 5%?  
        '************************************************************************* Z-a(3&  
    =_J<thp  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) vP?S0>gh  
    Y j\yO(o/  
        ' Delete any z-shift(s) 66^t[[  
        count = 0 s.)w A`&&  
        While GetOperationCount(eID)>count z{L;)U B^  
            GetOperation eID, count, op nF$)F?||  
            If op.Type="ShiftZ" Then b.*4RL  
                DeleteOperation eID,count E}/|Lja  
                count=count-1 [frD L)  
            End If 9z/_`Xd_  
            count=count+1 5q`)jd!*)  
        Wend {Y%=/ba W  
    Bqlc+d:  
        'Set new z-shift 2{Iz  
        op.Type = "ShiftZ" /,Id_TTCO  
        op.val1 = tlens %esZ}U   
        op.parent = parID G%R`)Z]8&  
        AddOperation eID, op Bjj^!T/#  
        Print "Set lens thickness = " & tlens L6=RD<~C  
    #@s~V<rW  
        '************************************************************************* r~_ /Jj  
        'Lens index of refraction +STzG /9#  
        '************************************************************************* kQlcT"R  
        eID = FindMaterial( "Lens" ) hg'!  
        GetModelMaterial eID, mat l]y%cJ~$'D  
    $!!=fFX*y  
        mat.Nd = nlens }QW~.>`  
        SetModelMaterial eID, mat bvS\P!m\c  
        Print "Set lens index of refraction = " & nlens ]mo<qWRc>p  
    @SG"t,5s  
        '************************************************************************* pbxcsA\  
        'Pupil diameter (G%gVk]  
        '************************************************************************* ~.`r(  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) x0$:"68PW  
    ~LW%lMy;^|  
        'Adjust pupil diameter (trimming volume inner hole) Le:mMd= G  
    7h&`BS  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" vP)~j1  
    *Q120R  
        ' Adjust pupil location to just in front of the lens 4?M3#],'h  
        parID = FindFullName( "Geometry.Arizona Eye" ) )K%O/H  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) (DP9& b  
        count = 0 )r,R!8  
        While GetOperationCount(eID)>count rIfGmh%H  
            GetOperation eID, count, op a;T[%'in  
            If op.Type="ShiftZ" Then 64rk^Um  
                DeleteOperation eID,count "M0l;  
                count=count-1 #L= eK8^e  
            End If KM(9& 1/  
            count=count+1 9.OwH(Ax7  
        Wend z/&a\`DsU  
        op.Type = "ShiftZ" EQOP?>mWx!  
        op.val1 = taq-0.01 4FE@s0M,  
        op.parent = parID t:s q*d  
        AddOperation eID, op =*:_swd  
    bKMR7&e.Ep  
        Print "Set pupil diameter = " & pupilDiam v;}`?@G  
    C9Z\G 3  
        'Update AZ Eye subassembly Description pH l2!{z  
        eID = FindFullName( "Geometry.Arizona Eye" ) KP d C9H  
        GetEntity eID, entity pvQK6r  
        entity.Description = "Accommodation = " & A & "D" hd ;S>K/C  
        SetEntity eID, entity j484b2uj1  
    X8SRQO^  
        Update fQy C6C  
        Print "DONE!" P:, x?T?J^  
         hk!,  
    End Sub }Wche/g`  
    ,ibPSN5Ca  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: R~5* #r@f  
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    Accommodation = 4 Diopters hn\Q6f+  
    Pupil Diameter = 4 mm O][Nl^dl  
    Set aqueous humor thickness = 2.81 3AQ>>)T~  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 oTD-+MZn  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 2 ssj(Qo  
    Set lens thickness = 3.927 5+/b$mHZX  
    Set lens index of refraction = 1.42672 'Ywpdzz[  
    Set pupil diameter = 4 .F$|j1y  
    DONE! uGUv~bE  
    4,F3@m:<  
    >AzWM .r  
    QQ:2987619807  I`'a'  
     
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