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    [分享]Arizona眼睛模型 [复制链接]

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    只看楼主 正序阅读 楼主  发表于: 2020-12-09
    简介 tWy0% -  
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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。 #@Yw]@5M  
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    模型 +]P? ?`,R;  
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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。 nn!W-Bsqjh  
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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`$'y@L$  
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    光源 :G\f(2@  
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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。 }S|~^  
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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。 qg6283'?  
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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。 5>M6lwS  
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    图2. 字母F光源的设定方法光 R,?7|x  
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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 4sOo>.<x  
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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。 70IBE[T&  
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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。 _GSl}\  
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    图5. 视网膜重点采样规格设定
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    脚本 {1a%CsCM  
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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: KneCMFy  
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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。 4 0as7.q  
    余下的脚本计算与屈光度有关的所有参数。 1#BMc%  
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    分析 @ov*Fh  
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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。 t;g= @o9YA  
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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 LDilrG)  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. @,btQ_'X  
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    Dim entity As T_ENTITY K)!yOa'fH  
    Dim op As T_OPERATION i}d^a28  
    Dim mat As T_MODELMATERIAL 7OSk0%Q,  
    Dim A As Double };{V]f 0  
    Dim pupilDiam As Double Lh eOGM  
    Dim eID As Long P_Rh& gkuK  
    Dim parID As Long 7{0;<@  
    Dim count As Integer [N] 5)n  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double iKs @oHW  
    Dim tlens As Double, nlens As Double NrQGoAOw  
    Dim curv As Double, conic As Double Ll 4/P[7:?  
    Dim ok As Long "N'|N.,  
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    Sub Main xw[KP [(  
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        '用户输入对话框 {,V.IDs8[  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 ,ddoII  
            TextBox 220,21,40,21,.TextBox1 'default: 0 _Z9HOl@  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 t]dtBt].:  
            OKButton 40,91,90,21 v D"4aw  
            CancelButton 190,91,90,21 ~cC =DeX  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 B4fMD]  
            TextBox 220,49,40,21,.TextBox2 'default: 4 2VB|a;Mo  
        End Dialog +hoZW R  
        Dim dlg As UserDialog {, +,:w7  
    'IVNqfC)u  
        ok = Dialog (dlg) 8OV;&Z,x  
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        If ok=0 Then    'cancel button was pressed 7sgK+ ip  
            Print "Execution cancelled." X*4iNyIs_  
            End #Tm^$\*h\]  
        End If =t@8Y`9w  
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        'Assign accommodation and pupil diameter & use defaults if field left empty {Y0Uln5u  
        If dlg.TextBox1 = "" Then 1u9*)w  
            A = 0           'Default accommodation =x_~7 Xc{  
        Else IF>dsAAI<  
            A = CDbl(dlg.TextBox1) Vn7FbaO^  
        End If aRt`IcZYz  
    -XuRQ_)nG  
        If dlg.TextBox2 = "" Then 6!QY)H^j9,  
            pupilDiam = 4   'Default pupil diameter uD'GI  
        Else AbqeZn  
            pupilDiam = CDbl(dlg.TextBox2) 8ch^e[U`  
        End If [unK5l4_!  
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        Print " " KR49Y>s<  
        Print "Accommodation = " & A & " Diopters" `jI$>{oa  
        Print "Pupil Diameter = " & pupilDiam & " mm" cN{(XmX5n  
    q3_ceXYU  
        ' Calculate new parameters with accommodation W UN|,P`b  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness XA1gV>SJ  
    @2X{e7+D  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens [5"F=tT7WP  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens AlVB hR`  
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        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens Z?@oe-mz  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens i(hL6DLD  
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        tlens = 3.767 + 0.04*A                  'Lens thickness n7>L&?N#y#  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction  K}OY!|  
    9 SBVp 6'  
        'Adjust parameters to account for accommodation ;A\SbLM  
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        '************************************************************************* y\C_HCU H  
        'Aqueous thickness (Position of Lens) W Z_yaG$U  
        '************************************************************************* uOv0ut\\G  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) F5+)=P#  
        GetCustomElement eID, entity VhfM j|  
    'ZiTjv ]  
        parID = FindFullName( "Geometry.Arizona Eye" ) CGp7 Tx#  
    _U<r@  
        ' Delete any shift(s) in z Wcf;ZX  
        count = 0 JtbwY@R  
        While GetOperationCount(eID)>count nf2[hx@=U  
            GetOperation eID, count, op @dHQ}Ni  
            If op.Type="ShiftZ" Then "NM SLqO  
                DeleteOperation eID,count N!Cy)HnS\w  
                count=count-1 YD@n8?~$$  
            End If ],l}J'.8<V  
            count=count+1 6!|/(~  
        Wend i^Ip+J+[  
    a0/[L  
        'Set new shift in d95 $w8>  
        op.Type = "ShiftZ" -|WQs'%O  
        op.val1 = taq {kdS t1  
        op.parent = parID ` JZ`j7f  
        AddOperation eID, op (j%;)PTe+&  
        Print "Set aqueous humor thickness = " & taq-0.55 $:u5XJx  
    nvOJY6)$V  
        '************************************************************************* ZDl6 F`  
        'Radius and conic constant of anterior lens ^!j,d_)b!  
        '************************************************************************* c*N>7IF,  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) H3Zs m)+:  
        GetConic eID, entity, curv, conic Fs 95^T  
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        SetConic eID, entity, 1/Rant, CCant lWRRB&8  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant 6^#@y|.  
    TJ`Jqnh  
        '************************************************************************* [:"7B&&A  
        'Radius and conic constant of posterior lens tvEf-z  
        '************************************************************************* ,+U,(P5>s  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) Ra-%,cS  
        GetConic eID, entity, curv, conic M\L^ Wf9  
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        SetConic eID, entity, 1/Rpost, CCpost 56l1&hp8In  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost %]\IC(q  
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        '************************************************************************* %7 [ Z/U=  
        'Lens thickness (Position of posterior lens surface) 4lsg%b6_%,  
        '************************************************************************* grbUR)f<?-  
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        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) >oasA2S  
    P;DGs]PF  
        ' Delete any z-shift(s)  WgayH  
        count = 0 "qxu9Hg!  
        While GetOperationCount(eID)>count N799@:.  
            GetOperation eID, count, op  M_ii  
            If op.Type="ShiftZ" Then a%NSL6  
                DeleteOperation eID,count m6iQB\ \  
                count=count-1 %DIZgPd\  
            End If k]] e8>  
            count=count+1 |4?O4QN  
        Wend Fo$'*(i  
    )|Xi:Zd5>  
        'Set new z-shift p)y'a+|7  
        op.Type = "ShiftZ" E(/M?>t-  
        op.val1 = tlens se ]q~<&  
        op.parent = parID ]<g`rR7}  
        AddOperation eID, op #z&@f  
        Print "Set lens thickness = " & tlens fXfO9{E  
    )DwHLaLW  
        '************************************************************************* IuN:*P  
        'Lens index of refraction c@<vFoq  
        '************************************************************************* :o=a@Rqx  
        eID = FindMaterial( "Lens" ) HCOE'24I  
        GetModelMaterial eID, mat )D>= \ Me  
    &vHfuM`  
        mat.Nd = nlens S*9qpes-m|  
        SetModelMaterial eID, mat Kjfpq!NYE  
        Print "Set lens index of refraction = " & nlens ReZ&SNJ  
    V0)F/qY  
        '************************************************************************* ~uRL+<.c  
        'Pupil diameter r.#"he_6!.  
        '************************************************************************* k%2Rv4)hU  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) = k7}[!T  
    i?D KKjN$  
        'Adjust pupil diameter (trimming volume inner hole) ai@hQJ*  
    'pQ\BH  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" b@?pofZ`k  
    V+- ]txu|  
        ' Adjust pupil location to just in front of the lens ,[{Z_co  
        parID = FindFullName( "Geometry.Arizona Eye" ) p"k[ac{  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) ^Z`?mNq9  
        count = 0 Qk h}=3u  
        While GetOperationCount(eID)>count X J{b_h#N  
            GetOperation eID, count, op -er8(snDQ  
            If op.Type="ShiftZ" Then 'BmLR{[2L  
                DeleteOperation eID,count e=#'rDm  
                count=count-1 i3v|r 0O~L  
            End If W&HF*Aw  
            count=count+1 ]46#u=y~3  
        Wend X\ bXat+  
        op.Type = "ShiftZ" c D0-g=&  
        op.val1 = taq-0.01 s?pd&_kOv3  
        op.parent = parID K%iA-h  
        AddOperation eID, op 2SHS!6:Rl  
    =&YhA}l\O  
        Print "Set pupil diameter = " & pupilDiam sBV})8]K M  
    {IR-g,B  
        'Update AZ Eye subassembly Description 71(C@/J  
        eID = FindFullName( "Geometry.Arizona Eye" ) RhQ[hI  
        GetEntity eID, entity T=D|jt  
        entity.Description = "Accommodation = " & A & "D" Gr}lr gPS  
        SetEntity eID, entity c3]X#Qa#m$  
    5*P+c(=  
        Update 0kOl,%Ey  
        Print "DONE!" DSX.84  
         OD~B2MpM>  
    End Sub C]'ru  
    N`1W"Rx!  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: 8{ooLdpX7  
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    Accommodation = 4 Diopters f tE2@}  
    Pupil Diameter = 4 mm =/zb$d cz  
    Set aqueous humor thickness = 2.81 _dk/SWb)  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 k3 S  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 P<s 0f:".  
    Set lens thickness = 3.927 lU&[){  
    Set lens index of refraction = 1.42672 ;I@@PUnR  
    Set pupil diameter = 4 ~+OAAkJ9  
    DONE! ZA{T0:  
    \Jy/ a-  
    b`yb{& ,?  
    QQ:2987619807 Lw_s'QNWR  
     
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