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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 qd(hQsfqYU  
    o](.368+4  
    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。 dtTlIhh1V  
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    模型 Pux)>q] C  
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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%X  
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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. ";dU-\3M  
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    光源 61:9(*4~!F  
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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。 MaErx\  
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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。 0N5bPb  
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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。 @L8;VSI  
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    图2. 字母F光源的设定方法光 OX3Xy7  
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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 ;)|nkI  
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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。 JqEb;NiP)5  
    e=J*Esc@k  
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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。 |j# ^@R  
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    图5. 视网膜重点采样规格设定
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    脚本 vZk9gGjk  
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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: H:MUNc8i  
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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。 AY;<q$8j%,  
    余下的脚本计算与屈光度有关的所有参数。 xB,/dMdTj  
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    分析 5M.Red.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。 >~wu3q  
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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 !ew6 n I  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. D!me%;  
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    Dim entity As T_ENTITY Gw`/.0  
    Dim op As T_OPERATION 3P`WPph  
    Dim mat As T_MODELMATERIAL ZQ|gt*  
    Dim A As Double Z9f/-|r5  
    Dim pupilDiam As Double Y{j7Q4{  
    Dim eID As Long QA,*:qx  
    Dim parID As Long %2YN,a4  
    Dim count As Integer IywiCMjH  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double cqjl5UB  
    Dim tlens As Double, nlens As Double t)!V +Qcb  
    Dim curv As Double, conic As Double "u5KbJW  
    Dim ok As Long xy vND  
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    Sub Main ;t~*F#p(!  
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        '用户输入对话框 0}D-KvjyP  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 Wt"ww~h`(  
            TextBox 220,21,40,21,.TextBox1 'default: 0 Q-3r}jJe  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 $)f"K  
            OKButton 40,91,90,21 6N?#b66  
            CancelButton 190,91,90,21 hd8B0eD'  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 cB<O.@  
            TextBox 220,49,40,21,.TextBox2 'default: 4 ~;!BDLMC6  
        End Dialog X'xUwT|_+  
        Dim dlg As UserDialog A`IHP{aB  
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        ok = Dialog (dlg) %fBP:5%K  
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        If ok=0 Then    'cancel button was pressed m|lM.]2_  
            Print "Execution cancelled." {wHvE4F2  
            End blUY.{NN3  
        End If aj?2jU~Pq  
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        'Assign accommodation and pupil diameter & use defaults if field left empty 3hH>U%`-  
        If dlg.TextBox1 = "" Then WqR7uiCi  
            A = 0           'Default accommodation WX ,p`>n  
        Else :Jm!=U%'Z  
            A = CDbl(dlg.TextBox1) '!AT  
        End If [A|(A$jl  
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        If dlg.TextBox2 = "" Then [;*\P\Xih  
            pupilDiam = 4   'Default pupil diameter ftxTX3X  
        Else y2GQN:X  
            pupilDiam = CDbl(dlg.TextBox2) gU~ L@R_D  
        End If (x}A_ i  
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        Print " " k]t,q$Vd  
        Print "Accommodation = " & A & " Diopters" 8~;{xYN )  
        Print "Pupil Diameter = " & pupilDiam & " mm" U&`6&$]  
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        ' Calculate new parameters with accommodation YXgWH'i~  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness :,jPNuOA  
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        Rant = 12.0 - 0.4*A                     'Radius of anterior lens DQ%`v =  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens @51z-T  
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        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens 5QKRI)XpZ  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens d8 rBu jT  
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        tlens = 3.767 + 0.04*A                  'Lens thickness *U :VM'a  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction aXQ&@BZ {j  
    ?Y%}(3y  
        'Adjust parameters to account for accommodation %B[YtWqm`/  
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        '************************************************************************* 6euR'd^Qi  
        'Aqueous thickness (Position of Lens) 2@rp<&s  
        '************************************************************************* ~(stA3]k  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) t#a.}Jl  
        GetCustomElement eID, entity wj}=@HS,3!  
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        parID = FindFullName( "Geometry.Arizona Eye" ) ur?d6 a  
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        ' Delete any shift(s) in z ~azF+}x90N  
        count = 0 zB;'_[8M  
        While GetOperationCount(eID)>count 7We?P,A\;  
            GetOperation eID, count, op 2j2mW>Z  
            If op.Type="ShiftZ" Then 2r %>]y  
                DeleteOperation eID,count @P*ylB}?Q  
                count=count-1 Y=AH%Gy9 )  
            End If I).=v{@9V<  
            count=count+1 J>&[J!>r  
        Wend s[Y)d>~\$=  
    ,jAx%]@,I  
        'Set new shift in VEL:JsY  
        op.Type = "ShiftZ" \El|U#$u'  
        op.val1 = taq XPar_8I  
        op.parent = parID 3X,]=f@_  
        AddOperation eID, op eL<m.06cfY  
        Print "Set aqueous humor thickness = " & taq-0.55 ~D<7W4c  
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        '************************************************************************* 98X!uh'  
        'Radius and conic constant of anterior lens 2b; rr  
        '************************************************************************* i6-wf Gs;  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) X(4s;i  
        GetConic eID, entity, curv, conic J@oEV=L  
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        SetConic eID, entity, 1/Rant, CCant "2*G$\  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant ]ev*m&O  
    suA+8}o]  
        '************************************************************************* s@[C&v  
        'Radius and conic constant of posterior lens u)<Ysx8G  
        '************************************************************************* k\sc }z8X  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) Ly#h|)  
        GetConic eID, entity, curv, conic \;nD)<)J  
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        SetConic eID, entity, 1/Rpost, CCpost Nr> c'TH  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost 1~["{u  
    @N,:x\  
        '************************************************************************* (%``EIc<8  
        'Lens thickness (Position of posterior lens surface) |pfhrwJp  
        '************************************************************************* 6a "VCE]  
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        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) X=rc3~}f  
    *>H M$.?Q  
        ' Delete any z-shift(s) $sU5=,  
        count = 0 =gxgS<bde  
        While GetOperationCount(eID)>count 08<k'Oi]  
            GetOperation eID, count, op i_j9/k  
            If op.Type="ShiftZ" Then 4yA9Ni  
                DeleteOperation eID,count 7Vz[ji  
                count=count-1 08TaFzP81  
            End If b@nri5noBm  
            count=count+1 3MNhH  
        Wend >yV)d/  
    r Iya\z1W  
        'Set new z-shift Ss"|1]acP  
        op.Type = "ShiftZ" w.4u=e >Z4  
        op.val1 = tlens pFpQ\xc9$  
        op.parent = parID YQN]x}:E+4  
        AddOperation eID, op ,pQ'w7  
        Print "Set lens thickness = " & tlens 3a'Rs{qxn  
    Sqp;/&Ji  
        '************************************************************************* Ze [g0"  
        'Lens index of refraction mQwk!* U  
        '************************************************************************* fe& t-  
        eID = FindMaterial( "Lens" ) %8}WX@SB  
        GetModelMaterial eID, mat _&k'j)rg  
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        mat.Nd = nlens /0 B07B  
        SetModelMaterial eID, mat uE,i-g0$Id  
        Print "Set lens index of refraction = " & nlens {AU` }*5  
    8ktjDs$=.:  
        '************************************************************************* Nz(c"3T;  
        'Pupil diameter e3yorQ][  
        '************************************************************************* )bB"12Z|8  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) _aXP ;kFMi  
    1kB'sc3N!  
        'Adjust pupil diameter (trimming volume inner hole) {pcf;1^t  
    4_6W s$x  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" d-6sC@PB  
    P?Gd}mdX?m  
        ' Adjust pupil location to just in front of the lens ql#{=oGDnA  
        parID = FindFullName( "Geometry.Arizona Eye" ) +z]:CF  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) lfU"SSQ  
        count = 0 Z^/z  
        While GetOperationCount(eID)>count HMEs8.  
            GetOperation eID, count, op gmF_~"^34  
            If op.Type="ShiftZ" Then D\45l  
                DeleteOperation eID,count H{ n>KZ]\  
                count=count-1 &y#\1K  
            End If I2t-D1X  
            count=count+1 !#,-  
        Wend B|]t\(~$ [  
        op.Type = "ShiftZ" 7AGZu?1]M  
        op.val1 = taq-0.01 (c|$+B^*  
        op.parent = parID S7?f5ux   
        AddOperation eID, op 7 SjF9x  
    .NV)hg)|cZ  
        Print "Set pupil diameter = " & pupilDiam < '>d0:>N  
    U(S@1i(  
        'Update AZ Eye subassembly Description /?.r!Cp  
        eID = FindFullName( "Geometry.Arizona Eye" ) mC{!8WC@k  
        GetEntity eID, entity dyQ<UT  
        entity.Description = "Accommodation = " & A & "D" /ctaAQDUh\  
        SetEntity eID, entity qHC*$v#.V?  
    c"f-$^<  
        Update Y5h)l<P>B  
        Print "DONE!" b.mjQ  
         Mv7w5vTl  
    End Sub +YQ)}v  
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    如果屈光度是4,光瞳直径是4,则会输出如下数据: {|Mxvp*Hg  
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    Accommodation = 4 Diopters E5Snl#Gl\0  
    Pupil Diameter = 4 mm =#POMK".6  
    Set aqueous humor thickness = 2.81 M@!]U:5~V  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 ;9!yh\\   
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 y]E)2:B[d  
    Set lens thickness = 3.927  2#$}yP~  
    Set lens index of refraction = 1.42672 T9<H%iF  
    Set pupil diameter = 4 JL]k:i^`A  
    DONE! uusY,Dt/9  
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    QQ:2987619807 +e\:C~2f28  
     
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