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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 hHXTSk2  
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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。 ]H[%PQ r`Z  
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    模型 xn1=@0 a  
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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。 Mzfuthq=@  
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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. P[q`{TdV  
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    光源 aJ;6!WFW  
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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。 cHr.7 w  
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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。 %p wpRD@  
    ;~nz%L J  
    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。 P/9iB/  
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    图2. 字母F光源的设定方法光 Y#[Wv1hi  
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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 e3YdHp  
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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。 i7 *cpNPO  
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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>G^)aRa  
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    图5. 视网膜重点采样规格设定
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    脚本 Td|x~mZv:  
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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: Gd= l{~  
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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。 0SJ7QRo|K  
    余下的脚本计算与屈光度有关的所有参数。 "@h 5 SF  
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    分析 ?M02|8-  
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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。 3aK/5)4|B  
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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 slV7,4S&!  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. x?|C-v  
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    Dim entity As T_ENTITY lMcSe8LBQa  
    Dim op As T_OPERATION .JJ^w!|>#  
    Dim mat As T_MODELMATERIAL xUG:x4Gz+  
    Dim A As Double TAXl73j_CY  
    Dim pupilDiam As Double #_zd`s3k  
    Dim eID As Long ;4g_~fB  
    Dim parID As Long l:Y$A$W]>  
    Dim count As Integer |>Xw"]b;  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double @|2}*_3\  
    Dim tlens As Double, nlens As Double tFYIKiq2  
    Dim curv As Double, conic As Double  fK$N|r  
    Dim ok As Long 0lvX,78G;  
    zF F=v7[j  
    Sub Main "eH~/6A  
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        '用户输入对话框 BhMHT :m  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 )kE(%q:*P$  
            TextBox 220,21,40,21,.TextBox1 'default: 0 bnWKfz5  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 T21SuM  
            OKButton 40,91,90,21 K%p*:P  
            CancelButton 190,91,90,21 vGk}r  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 yL&_>cV  
            TextBox 220,49,40,21,.TextBox2 'default: 4 HxVQeyOR  
        End Dialog K 7x,>  
        Dim dlg As UserDialog 7 %P?3  
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        ok = Dialog (dlg) UJ0Dy ` f  
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        If ok=0 Then    'cancel button was pressed B) 81mcy  
            Print "Execution cancelled." N1V qK  
            End ;5*)kX  
        End If ?gSk%]S/!  
    :*2+t-  
        'Assign accommodation and pupil diameter & use defaults if field left empty 3xW;qNj:!l  
        If dlg.TextBox1 = "" Then LRhq%7p7  
            A = 0           'Default accommodation Y=gj{]4  
        Else !n`ogzOh  
            A = CDbl(dlg.TextBox1) #0-!P+c[  
        End If !(!BW9Zt+  
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        If dlg.TextBox2 = "" Then t;DZ^Z"{  
            pupilDiam = 4   'Default pupil diameter cZRLYOC  
        Else {C%/>e2-%  
            pupilDiam = CDbl(dlg.TextBox2) 1%L* 9>e  
        End If ;z9(  
    5k`[a93T  
        Print " " !U"1ZsO)l  
        Print "Accommodation = " & A & " Diopters" J3sO%4sYR  
        Print "Pupil Diameter = " & pupilDiam & " mm" ksxacRA7\  
    ta+'*@V +G  
        ' Calculate new parameters with accommodation Q#@gOn=W\  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness 6TE R Q  
    }lgqRg)F9[  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens }P$48o VY  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens yaf&SR@7k{  
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        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens NgKbf vt  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens AJrwl^ lm  
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        tlens = 3.767 + 0.04*A                  'Lens thickness ^uW!=%D  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction LnJ/t(KV  
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        'Adjust parameters to account for accommodation y(:hN)  
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        '************************************************************************* JF*JF Ob  
        'Aqueous thickness (Position of Lens) laM0W5  
        '************************************************************************* k=[!{I  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) "F+ 9xf&r  
        GetCustomElement eID, entity )o[ O%b  
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        parID = FindFullName( "Geometry.Arizona Eye" ) E{r_CR+8  
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        ' Delete any shift(s) in z oll~|J^sg  
        count = 0 Sv-}w$  
        While GetOperationCount(eID)>count FTt7o'U  
            GetOperation eID, count, op  Iz2K  
            If op.Type="ShiftZ" Then QEM")(  
                DeleteOperation eID,count q*A2>0O  
                count=count-1 -e%=Mpq.  
            End If vjJ!d#8  
            count=count+1 dUn8Xqj1  
        Wend i^uC4S~  
    f? F i{m  
        'Set new shift in o lNL|WJ`w  
        op.Type = "ShiftZ" >"F~%D<.  
        op.val1 = taq }se)=7d8 Z  
        op.parent = parID w\_NrsO!x  
        AddOperation eID, op *6Rl[eXS  
        Print "Set aqueous humor thickness = " & taq-0.55 >w9)c|  
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        '************************************************************************* $BE^'5G&4Y  
        'Radius and conic constant of anterior lens g_] u<8&  
        '************************************************************************* K 3&MR=#^  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) /[[zAq{OA  
        GetConic eID, entity, curv, conic "h7-nwm  
    ;sNyN#  
        SetConic eID, entity, 1/Rant, CCant PZpwi?N  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant c6s(f  
    S:vv*5  
        '************************************************************************* HtEjM|zj  
        'Radius and conic constant of posterior lens N)  {  
        '************************************************************************* *^c4q|G.-  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) qB]z"Hfq,  
        GetConic eID, entity, curv, conic $Miii`VS9  
    ]Nt97eD)  
        SetConic eID, entity, 1/Rpost, CCpost W\U zw,vI  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost yixW>W}  
    ynM{hN.+H  
        '************************************************************************* 5vbnO]8  
        'Lens thickness (Position of posterior lens surface) K;6K!6J:[  
        '************************************************************************* "MC&!AMv  
    'QT(TF>  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) qvYYKu  
    M=o,Sav5*  
        ' Delete any z-shift(s) 9aZ3W<N`M  
        count = 0 92Ar0j]  
        While GetOperationCount(eID)>count H gNUr5p  
            GetOperation eID, count, op Yc?taL)  
            If op.Type="ShiftZ" Then #A]7cMZ'W  
                DeleteOperation eID,count  Kz3u  
                count=count-1 |,dMF2ADc  
            End If QJdSNkc6  
            count=count+1 @aCg1Rm  
        Wend {K3\S 0L  
     TWx<)  
        'Set new z-shift a2=wJhk  
        op.Type = "ShiftZ" GetUCb%1  
        op.val1 = tlens =#Vdz=.  
        op.parent = parID nQ$N(2<Fe  
        AddOperation eID, op ;S?1E:\av  
        Print "Set lens thickness = " & tlens kP;:s  
    :jp?FF^j;  
        '************************************************************************* aGpRdF1;!  
        'Lens index of refraction >j`*-(`2fa  
        '************************************************************************* & p_;&P_  
        eID = FindMaterial( "Lens" ) i6`8yw  
        GetModelMaterial eID, mat @%\ANM$S  
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        mat.Nd = nlens oN `tZ;a  
        SetModelMaterial eID, mat 34;c00  
        Print "Set lens index of refraction = " & nlens g=U?{<8.m  
    7vj[ AOq3l  
        '************************************************************************* ljt1:@SN(  
        'Pupil diameter cC}s5`  
        '************************************************************************* uhc0,V;S  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) r]HLO'<]  
    YSa:"A  
        'Adjust pupil diameter (trimming volume inner hole) *?K` T^LS  
    iBo-ANnK9  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" lZ)u4_  
    |%RFXkHS  
        ' Adjust pupil location to just in front of the lens ~-:CN(U  
        parID = FindFullName( "Geometry.Arizona Eye" ) LWQ BGiJj  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) 0a'@J~v!  
        count = 0 :X4\4B*~  
        While GetOperationCount(eID)>count }SN'*w@E  
            GetOperation eID, count, op 'h= >ej*  
            If op.Type="ShiftZ" Then iMA)(ZS  
                DeleteOperation eID,count _r8AO>  
                count=count-1 q yJpm{  
            End If Bp/8 >E O`  
            count=count+1 \FKIEg+(2  
        Wend vy#c(:UQR  
        op.Type = "ShiftZ" Y 4714  
        op.val1 = taq-0.01 njq-iU  
        op.parent = parID sQ)4kF&,  
        AddOperation eID, op I9Sh~vTm=u  
    ix#  
        Print "Set pupil diameter = " & pupilDiam KdR&OBm  
    kW:!$MX!  
        'Update AZ Eye subassembly Description }jk^M|Z"Oz  
        eID = FindFullName( "Geometry.Arizona Eye" ) 4xYo2X,B  
        GetEntity eID, entity zp9 ?Ia  
        entity.Description = "Accommodation = " & A & "D" Wey\GQ`"8  
        SetEntity eID, entity A!Yqj~  
    5:PZ=jPR  
        Update d:wAI|  
        Print "DONE!" 5-3gsy/Mo  
         $U0(%lIU  
    End Sub A+}4 N%kh  
    _0f[.vN  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: 3PEs$m9e  
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    Accommodation = 4 Diopters Grub1=6l  
    Pupil Diameter = 4 mm vOj$-A--qU  
    Set aqueous humor thickness = 2.81 Hb$q}1+y  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 5;Z~+$1  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 $_ i41f[  
    Set lens thickness = 3.927 W&Hf}q s  
    Set lens index of refraction = 1.42672 zSH#j RDV  
    Set pupil diameter = 4 [< `+9R  
    DONE! 37[C^R!1c  
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