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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 q![`3m-d.  
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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。 sW@_' Lw  
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    模型 1P?|.W_^1  
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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。 w|c200Is}e  
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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. -tfUkGdx;l  
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    光源 0ZJj5<U  
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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。 &O#,"u/q`  
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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。 Bk[C=<X  
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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。 2'u%  
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    图2. 字母F光源的设定方法光 ["[v  
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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 c(aykIVOo  
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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。 ;8a9S0eS  
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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。 W/g_XQ   
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    图5. 视网膜重点采样规格设定
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    脚本 voQJ!h1  
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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: Tl2(%qB  
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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。 > l]Ble  
    余下的脚本计算与屈光度有关的所有参数。 HQ]mDo  
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    分析 U.X` z3q  
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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]hjv  
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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 *<X1M~p$  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. zc$}4o  
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    Dim entity As T_ENTITY U8J9 #+:  
    Dim op As T_OPERATION 1\~I "$}  
    Dim mat As T_MODELMATERIAL D,Gv nfY  
    Dim A As Double &>]U c%JK  
    Dim pupilDiam As Double  JJmW%%]i  
    Dim eID As Long }xBDyr63  
    Dim parID As Long T*%rhnTv0  
    Dim count As Integer <bb!BS&w  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double TgaxZW  
    Dim tlens As Double, nlens As Double H6{Bx2J1*  
    Dim curv As Double, conic As Double K_~kL0=4  
    Dim ok As Long OGIv".~s4  
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    Sub Main z~3GgR"1d  
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        '用户输入对话框 `a83bF35  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 [N Afy~X*  
            TextBox 220,21,40,21,.TextBox1 'default: 0 ^b$_I31D  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 Wy}^5]R0E  
            OKButton 40,91,90,21 2x9.>nwhb  
            CancelButton 190,91,90,21 @&Z^WN,x  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 -gm5E qi  
            TextBox 220,49,40,21,.TextBox2 'default: 4 ZE-vroh  
        End Dialog qxDMDMN  
        Dim dlg As UserDialog /]^Y\U^  
    #:+F  
        ok = Dialog (dlg) >}\s-/  
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        If ok=0 Then    'cancel button was pressed WG3!M/4r H  
            Print "Execution cancelled." fLqjBG]<  
            End !^&VZh  
        End If _dRB=bl"O  
    ^8_yJ=~V  
        'Assign accommodation and pupil diameter & use defaults if field left empty 2|=hF9  
        If dlg.TextBox1 = "" Then .|^Gde  
            A = 0           'Default accommodation sv?Fx;d  
        Else 7P<f(@0h$E  
            A = CDbl(dlg.TextBox1) ZnRT$ l O  
        End If -fk;Qq3O  
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        If dlg.TextBox2 = "" Then )WbWp4  
            pupilDiam = 4   'Default pupil diameter bXvO+I<  
        Else "3\y~<8%'  
            pupilDiam = CDbl(dlg.TextBox2) ; cvMNU$fN  
        End If Y(bB7tR  
    *U,J Q  
        Print " " IHdA2d?.]  
        Print "Accommodation = " & A & " Diopters" z4Zm%  
        Print "Pupil Diameter = " & pupilDiam & " mm" Yi?bY  
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        ' Calculate new parameters with accommodation SMD*9&,  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness :`zO%h  
    xi(1H1KN5B  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens Lv]%P.=[G  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens 3a.!9R>  
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        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens F5RL+rU(h  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens Gmi? xGn  
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        tlens = 3.767 + 0.04*A                  'Lens thickness XQ9W y  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction #WSqh +  
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        'Adjust parameters to account for accommodation T2S_> #."l  
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        '************************************************************************* myR{ }G  
        'Aqueous thickness (Position of Lens) O^`EuaL  
        '************************************************************************* A~PR  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) G9^`cTvv'8  
        GetCustomElement eID, entity t&?{+?p: 9  
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        parID = FindFullName( "Geometry.Arizona Eye" ) !i~(h&z  
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        ' Delete any shift(s) in z HTT&T9]  
        count = 0 :vb5J33U  
        While GetOperationCount(eID)>count 6!"wiM"]  
            GetOperation eID, count, op o& FOp'  
            If op.Type="ShiftZ" Then "H[K3  
                DeleteOperation eID,count yiQ?p:DM  
                count=count-1 @6yc^DAA  
            End If ZI!:  
            count=count+1 T,/rC{  
        Wend (T#$0RFq  
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        'Set new shift in ;,[0bmL  
        op.Type = "ShiftZ" B#S8j18M  
        op.val1 = taq PM[_0b  
        op.parent = parID 'Gl~P><e  
        AddOperation eID, op W+!UVUpW  
        Print "Set aqueous humor thickness = " & taq-0.55 XqmB%g(  
    ,~naKd.ZY  
        '************************************************************************* 8xO   
        'Radius and conic constant of anterior lens 1;$XX#7o  
        '************************************************************************* 9)1Ye  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) ]##aAh-P4&  
        GetConic eID, entity, curv, conic uVn"L:_  
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        SetConic eID, entity, 1/Rant, CCant d-_V*rYU  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant nUP, Yd  
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        '************************************************************************* ~r.R|f]IQ  
        'Radius and conic constant of posterior lens &|Duc} t  
        '************************************************************************* Jx.f DVJ  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) !{.CGpS ]  
        GetConic eID, entity, curv, conic Dm)B? H"  
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        SetConic eID, entity, 1/Rpost, CCpost ^<OYW|q?\r  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost G^ W0!u,@  
    '%rT]u3U  
        '************************************************************************* 5U~KYy^v  
        'Lens thickness (Position of posterior lens surface) %42a>piev  
        '************************************************************************* r&E gP  
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        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) tr<f ii 3<  
    k)n b<JW|r  
        ' Delete any z-shift(s) ~-zTY&c_  
        count = 0 skcyLIb  
        While GetOperationCount(eID)>count 2xLtJR4L  
            GetOperation eID, count, op 2L](4Q[M  
            If op.Type="ShiftZ" Then 5j`xSG  
                DeleteOperation eID,count _U^[h!  
                count=count-1 \ZLi Y  
            End If U*r54AyP  
            count=count+1 031"D*W'i  
        Wend eK:?~BI!  
    q~R8<G%YK  
        'Set new z-shift ?@G s7'  
        op.Type = "ShiftZ" Z0L($  
        op.val1 = tlens <==uK>pET  
        op.parent = parID TWpw/osW  
        AddOperation eID, op Czjb.c:a.Y  
        Print "Set lens thickness = " & tlens TRm#H $  
    4{uQ}ea  
        '************************************************************************* @Ul3J )=m  
        'Lens index of refraction <YU?1y?V  
        '************************************************************************* G JRl{Y  
        eID = FindMaterial( "Lens" ) :8)Jnh\5  
        GetModelMaterial eID, mat ?wB_fDb}  
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        mat.Nd = nlens .|O T#"LP  
        SetModelMaterial eID, mat wb.yGfJ  
        Print "Set lens index of refraction = " & nlens E#KZZ lbx  
    eC!=4_lx)  
        '************************************************************************* 64?HqO 6(  
        'Pupil diameter zo ?RFn  
        '************************************************************************* 0*XsAz1,9  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) s>J5.Z7"'j  
    E5^\]`9P  
        'Adjust pupil diameter (trimming volume inner hole) OvX&5Q5  
    MI `qzC*%  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" h< r(:.%!}  
    /yG7!k]Eg  
        ' Adjust pupil location to just in front of the lens y47N(;vy  
        parID = FindFullName( "Geometry.Arizona Eye" ) ;A,X,f  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) *K|~]r(F?  
        count = 0 3*h"B$g!  
        While GetOperationCount(eID)>count <,)R`90_X6  
            GetOperation eID, count, op qk<jvha  
            If op.Type="ShiftZ" Then K KB+o)*W  
                DeleteOperation eID,count [q?RJmB]  
                count=count-1 w#b@6d  
            End If hBX*02p   
            count=count+1 `> %QCc\  
        Wend _;k<=ns(=  
        op.Type = "ShiftZ" Ur])*#  
        op.val1 = taq-0.01 kGV:=h  
        op.parent = parID ?62Im^1/  
        AddOperation eID, op !.6n=r8 d  
    ;?/5Mr  
        Print "Set pupil diameter = " & pupilDiam 5pJe`}O4  
    n2K1X!E$  
        'Update AZ Eye subassembly Description ,\6Vb*G|E>  
        eID = FindFullName( "Geometry.Arizona Eye" ) 'f6H#V*C  
        GetEntity eID, entity r84^/+"T  
        entity.Description = "Accommodation = " & A & "D" BY~Tc5  
        SetEntity eID, entity Y%?S:&GH  
    '[WL8,.Q  
        Update lOt7 ij(,L  
        Print "DONE!" w0~%,S  
         VM%g QOo<  
    End Sub INA3^p'w  
    BH0m[9nU;  
    如果屈光度是4,光瞳直径是4,则会输出如下数据:  T01Iu  
    -P}A26qB  
    Accommodation = 4 Diopters 1Vu#:6%  
    Pupil Diameter = 4 mm xF[%R{Mn'  
    Set aqueous humor thickness = 2.81 5GM-*Ak@  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 uHKEt[PS$  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 @5^&&4>N  
    Set lens thickness = 3.927 9O 'j+?(`@  
    Set lens index of refraction = 1.42672 #s{^fUN6  
    Set pupil diameter = 4 ,ucRQ&P  
    DONE! G[>NP#P  
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    QQ:2987619807 ["D!IqI :  
     
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