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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=EQDHmh  
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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。 u&g} !Smc8  
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    模型 ilNm\fQ.  
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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。 |6uEf/*DX  
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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. R8?A%yxf  
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    光源 KYeA=  
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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。 ^yb_aCw  
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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。 Ea3tF0{  
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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。 >,9t<p=Q  
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    图2. 字母F光源的设定方法光 O_:Q#  
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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 5jV]{ZV#  
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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。 Uligr_c?  
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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。 `q/y|/v<  
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    图5. 视网膜重点采样规格设定
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    脚本 @.gCeMlOf  
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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: H11Wb(6Wu  
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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。 o]FQ)WRB  
    余下的脚本计算与屈光度有关的所有参数。 <.AIV p  
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    分析 NN$`n*;l  
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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。 eFx*lYjA  
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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 M\]E;C'"U  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. ' ZB%McS  
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    Dim entity As T_ENTITY n[clYi@e  
    Dim op As T_OPERATION ^.4<#Qs  
    Dim mat As T_MODELMATERIAL <&NR3^Eq  
    Dim A As Double 65}:2l2<  
    Dim pupilDiam As Double Xu T|vh  
    Dim eID As Long  {<i!Pm  
    Dim parID As Long hIw*dob  
    Dim count As Integer 6-^+btl)#  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double (O&b:D/Y  
    Dim tlens As Double, nlens As Double QR#,n@fE  
    Dim curv As Double, conic As Double ;xRyONt  
    Dim ok As Long qR1ez-#K  
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    Sub Main z C``G<TB  
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        '用户输入对话框 %AJdtJ@0H  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 @!Pq"/  
            TextBox 220,21,40,21,.TextBox1 'default: 0 H@6  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 WT0U)x( m5  
            OKButton 40,91,90,21 <k)rfv7  
            CancelButton 190,91,90,21 }{ P}P}  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 i ^W\YLE  
            TextBox 220,49,40,21,.TextBox2 'default: 4 ;m\(fW*ii  
        End Dialog t EN%mK  
        Dim dlg As UserDialog 2vur _`c V  
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        ok = Dialog (dlg) aH~il!K  
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        If ok=0 Then    'cancel button was pressed `zvYuKQ.}  
            Print "Execution cancelled." xE}q(.]  
            End e5AiIVlv  
        End If $V+ze*ra  
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        'Assign accommodation and pupil diameter & use defaults if field left empty 5-sxTp  
        If dlg.TextBox1 = "" Then sPhh#VCw{  
            A = 0           'Default accommodation @U9ov >E  
        Else [[)HPHSQ  
            A = CDbl(dlg.TextBox1) %@IR7v~  
        End If +yYz;, \  
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        If dlg.TextBox2 = "" Then E0*81PS  
            pupilDiam = 4   'Default pupil diameter 7[K$os5al  
        Else rj6wKf z  
            pupilDiam = CDbl(dlg.TextBox2) "{&!fD~w  
        End If dtnAMa5$T  
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        Print " " U_!6pqFc  
        Print "Accommodation = " & A & " Diopters" w</kGK[O  
        Print "Pupil Diameter = " & pupilDiam & " mm" m=#2u4H4  
    ){,8}(|  
        ' Calculate new parameters with accommodation NTn-4iJy  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness a~{mRh  
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        Rant = 12.0 - 0.4*A                     'Radius of anterior lens 8 /\rmf\  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens *f,EDSN1@d  
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        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens GB{%4)%6  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens ~< k'{  
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        tlens = 3.767 + 0.04*A                  'Lens thickness [WB8X,  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction Q!@" Y/  
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        'Adjust parameters to account for accommodation 9iGJYMWf  
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        '************************************************************************* y0z}[hZ  
        'Aqueous thickness (Position of Lens) JWEqy+,Fjw  
        '************************************************************************* M,7v}[Tbl  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) p^^<BjkQ  
        GetCustomElement eID, entity Xp%JPI {  
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        parID = FindFullName( "Geometry.Arizona Eye" ) tQ*5[F,fm  
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        ' Delete any shift(s) in z }PoB`H'K5  
        count = 0 -`A6K!W&~p  
        While GetOperationCount(eID)>count &6!x;RB  
            GetOperation eID, count, op tNq~M  
            If op.Type="ShiftZ" Then 2o6%P}C  
                DeleteOperation eID,count >8QLo8)3C  
                count=count-1 /5SBLp}Sy  
            End If &,bJ]J)8O  
            count=count+1 KecRjon~  
        Wend ;Q\Duj  
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        'Set new shift in \QQw1c+  
        op.Type = "ShiftZ" V:yia^1  
        op.val1 = taq yv&&x.!.Z  
        op.parent = parID meE&, {  
        AddOperation eID, op q.~_vS%  
        Print "Set aqueous humor thickness = " & taq-0.55 Ia[e 7  
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        '************************************************************************* )88z=5.  
        'Radius and conic constant of anterior lens eR =P  
        '************************************************************************* }ob#LC,  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) <Knl6$B  
        GetConic eID, entity, curv, conic lor jMS  
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        SetConic eID, entity, 1/Rant, CCant L_Ff*   
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant R9^Vk*`gFU  
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        '************************************************************************* +%oXPG?  
        'Radius and conic constant of posterior lens 'tklz*  
        '************************************************************************* KP%A0   
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) Qv|A^%Ub!  
        GetConic eID, entity, curv, conic ;3 O0O  
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        SetConic eID, entity, 1/Rpost, CCpost 4uwI=UUB  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost X=8y$Yy  
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        '************************************************************************* H)ud?vB6  
        'Lens thickness (Position of posterior lens surface) I& DEF*  
        '************************************************************************* ]-&A )M6  
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        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) pxDkf|*   
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        ' Delete any z-shift(s) % tTL  
        count = 0 [RoOc)u  
        While GetOperationCount(eID)>count I x kL]  
            GetOperation eID, count, op iz.J._&  
            If op.Type="ShiftZ" Then ]QlgVw,  
                DeleteOperation eID,count ,( u- x!  
                count=count-1 p(=}Qqdr8  
            End If u $O` \=  
            count=count+1 $SQ UN*/>  
        Wend 2<q>]G-nN  
    &e0BL z  
        'Set new z-shift zmB6Y t  
        op.Type = "ShiftZ" &{-r 5d23  
        op.val1 = tlens Jz<-B  
        op.parent = parID f{mWy1NH\  
        AddOperation eID, op i&=I5$  
        Print "Set lens thickness = " & tlens {<+B>6^  
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        '************************************************************************* ]Dec/Nnj  
        'Lens index of refraction W|'7)ph  
        '************************************************************************* /N'0@ q  
        eID = FindMaterial( "Lens" ) _Wg?H:\  
        GetModelMaterial eID, mat :{BD/6  
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        mat.Nd = nlens fqpbsM;M]  
        SetModelMaterial eID, mat ]ie38tX$  
        Print "Set lens index of refraction = " & nlens wz`\R HL  
    : 8h\x  
        '************************************************************************* M~+}ss  
        'Pupil diameter 1K{u>T  
        '************************************************************************* ( f]@lNmx  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) J PO'1 D)  
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        'Adjust pupil diameter (trimming volume inner hole) ~?#>QN\\c  
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        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" R RRF/Z;))  
    OEi u,Y|@l  
        ' Adjust pupil location to just in front of the lens hQ7-m.UZw  
        parID = FindFullName( "Geometry.Arizona Eye" ) . ,h>2;f  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) p+7G  
        count = 0  R.x^  
        While GetOperationCount(eID)>count x%_VzqR`  
            GetOperation eID, count, op 0{Uc/  
            If op.Type="ShiftZ" Then u1 Z;n  
                DeleteOperation eID,count !WS Y75  
                count=count-1 L h@0|k  
            End If ;*u"hIl1/  
            count=count+1 76::X:76  
        Wend amTeT o]Tg  
        op.Type = "ShiftZ" _ ck)yY?7  
        op.val1 = taq-0.01 FP=up#zl  
        op.parent = parID {{6D4M|s  
        AddOperation eID, op \<ko)I#%  
    %cO^:  
        Print "Set pupil diameter = " & pupilDiam =y^`yv 3  
    pl }nb Y  
        'Update AZ Eye subassembly Description ,Iv eKk5W  
        eID = FindFullName( "Geometry.Arizona Eye" ) ZWmS6?L.  
        GetEntity eID, entity o%yfR.M6$  
        entity.Description = "Accommodation = " & A & "D" r=Tz++!  
        SetEntity eID, entity \+)aYP2Hu  
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        Update R?t_tmKXC!  
        Print "DONE!" y#T.w0*  
         .}9Lj  
    End Sub &=^YN"=Z  
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    如果屈光度是4,光瞳直径是4,则会输出如下数据: u4#YZOiY)A  
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    Accommodation = 4 Diopters ty8>(N(~  
    Pupil Diameter = 4 mm K/iFB  
    Set aqueous humor thickness = 2.81 Rtu"#XcBw+  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 _`I}"`2H  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 XL3m#zW&  
    Set lens thickness = 3.927 l|81_BC"  
    Set lens index of refraction = 1.42672 TMsc5E  
    Set pupil diameter = 4 I q?n*P$  
    DONE! R$ra=sL`  
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    QQ:2987619807 q4ttmL8  
     
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