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    [技术]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: 2021-10-22
    简介 ^5n#hSqZ=M  
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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。 ]R*h3U@5#K  
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    模型 v83@J~  
    VD~ %6AjyN  
    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。 {WvYb,  
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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. *_sSM+S  
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    光源 \gFV6 H?`  
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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。 _-|+k  
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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。 #+Y%Bxf  
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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。 s=>^ 8[0O  
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    图2. 字母F光源的设定方法光 ~X(2F#{<{  
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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 D]twid~OS  
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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。 {8"Uxj_6V  
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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。 TDX~?> P  
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    图5. 视网膜重点采样规格设定
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    脚本 +E']&v$  
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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: ^"iJ  
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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。 K!8l!FFl  
    余下的脚本计算与屈光度有关的所有参数。 tB`IBuy9!"  
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    分析 '=(D7F;  
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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。 BP@V:z  
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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 A{Qo}F<*  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. |S]T,`7u  
    'vV+Wu#[  
    Dim entity As T_ENTITY QT=i>X  
    Dim op As T_OPERATION 4|UtE<<b  
    Dim mat As T_MODELMATERIAL K j~!E H"  
    Dim A As Double b3ys"Vyn  
    Dim pupilDiam As Double  `7oYXk  
    Dim eID As Long 4KR$sKq$q  
    Dim parID As Long d4)0G-|  
    Dim count As Integer "5v^6R9e  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double Lb?0<  
    Dim tlens As Double, nlens As Double o1k+dJUd  
    Dim curv As Double, conic As Double })j N 8px  
    Dim ok As Long >`<qa!9  
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    Sub Main U,lO{J[T  
    z'*{V\  
        '用户输入对话框 y(O~=S+<  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 /4}y2JVv)  
            TextBox 220,21,40,21,.TextBox1 'default: 0 kG5Uc8 3#G  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 ^\r{72!y  
            OKButton 40,91,90,21 R 5\|pC  
            CancelButton 190,91,90,21 @+a}O  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 _YN C}PUU  
            TextBox 220,49,40,21,.TextBox2 'default: 4 (C.aQ)|T  
        End Dialog ^O}J',Fm%f  
        Dim dlg As UserDialog Cq[Hh#q  
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        ok = Dialog (dlg) &_-3>8gU  
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        If ok=0 Then    'cancel button was pressed h+S]C#X,}  
            Print "Execution cancelled." "N)InPR-  
            End >Bu _NoM  
        End If Lt i2KY}/%  
    $~\Tl:!#?  
        'Assign accommodation and pupil diameter & use defaults if field left empty ZG? e%  
        If dlg.TextBox1 = "" Then ],{M``]q  
            A = 0           'Default accommodation Y~w1_>b  
        Else +O)ZB$w4  
            A = CDbl(dlg.TextBox1) PS0/O k  
        End If EKS?3z%!  
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        If dlg.TextBox2 = "" Then P76gJ@#m  
            pupilDiam = 4   'Default pupil diameter >qUD_U3A  
        Else "rVM23@ tq  
            pupilDiam = CDbl(dlg.TextBox2) &*oljGt8  
        End If k5 *Z@a  
    ~6+Um_A_L  
        Print " " Sj IDzNI5  
        Print "Accommodation = " & A & " Diopters" I}m>t}QRI_  
        Print "Pupil Diameter = " & pupilDiam & " mm" `R!2N4|;  
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        ' Calculate new parameters with accommodation nU0##  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness Qz"//=hC|H  
    Wys$#pJ  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens Kjpsz];  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens t gHN\@yj  
    5DO}&%.xt  
        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens T!Lv%i*|Y  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens xk3)#*  
    Vt-V'`Y  
        tlens = 3.767 + 0.04*A                  'Lens thickness }:[MSUm5  
    "!uS!BI?  
        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction >FJK$>[1:p  
    +n)bWB%  
        'Adjust parameters to account for accommodation SR`A]EC(V  
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        '************************************************************************* &Aym@G|k?  
        'Aqueous thickness (Position of Lens) AP8J28I  
        '************************************************************************* 54/ZGaonz  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) (cI@#x  
        GetCustomElement eID, entity Cv/3-&5S  
    /<dl"PWkJv  
        parID = FindFullName( "Geometry.Arizona Eye" ) OAEa+V  
    A7eYKo q  
        ' Delete any shift(s) in z c{39,oF  
        count = 0 LX #.  
        While GetOperationCount(eID)>count \&U"7gSL  
            GetOperation eID, count, op dj}P|v/;z  
            If op.Type="ShiftZ" Then $$*0bRfd4=  
                DeleteOperation eID,count K6@ %@v  
                count=count-1 NE3/>5  
            End If W .Al\!Gi  
            count=count+1 Ik@MIxLK  
        Wend %o`Cp64`Q  
    Mko,((>I1  
        'Set new shift in ~q}]/0-m  
        op.Type = "ShiftZ" Ri}JM3\J  
        op.val1 = taq }:1qK67S  
        op.parent = parID Vg mYm~y'  
        AddOperation eID, op 9WHarv2@  
        Print "Set aqueous humor thickness = " & taq-0.55 /b6j<]H  
    o=F!&]+  
        '************************************************************************* wy:euKB~   
        'Radius and conic constant of anterior lens w(ic$  
        '************************************************************************* fSGaUBiq}  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) Eh[NKgYL  
        GetConic eID, entity, curv, conic &yqk96z  
    qQS&K%F  
        SetConic eID, entity, 1/Rant, CCant =,&{ &m)  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant v[a4d&P  
    cCIs~*D  
        '************************************************************************* akwS;|SZ  
        'Radius and conic constant of posterior lens 6^FUuj.  
        '************************************************************************* "L9pFz</  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) 9Z3Vf[n5\  
        GetConic eID, entity, curv, conic JqEo~]E]  
    "tj]mij2)G  
        SetConic eID, entity, 1/Rpost, CCpost zCu+Oi6  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost 6']WOM#  
    h9~oS/%:  
        '************************************************************************* ytV4qU82G  
        'Lens thickness (Position of posterior lens surface) (D\`:1g  
        '************************************************************************* 5rJ7CfVq  
    HLh]*tQG  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" )  AZ-JaE  
    W=,]#Z+M;  
        ' Delete any z-shift(s) C4|79UG>s  
        count = 0 j'UW gwB  
        While GetOperationCount(eID)>count !{ORFd  
            GetOperation eID, count, op 9v7}[`^  
            If op.Type="ShiftZ" Then cWI7];/d;  
                DeleteOperation eID,count Cn>t"#zs!~  
                count=count-1 :r&4/sN}<  
            End If c2d1'l]n  
            count=count+1 ETfoL.d$(  
        Wend xI~c~KC  
    |lVi* 4za%  
        'Set new z-shift `<% w4 E  
        op.Type = "ShiftZ" ,LL=b-Es  
        op.val1 = tlens jW}hLjlN  
        op.parent = parID [Fr <tKtB  
        AddOperation eID, op qc6d,z/  
        Print "Set lens thickness = " & tlens ^5-SL?E  
    sT91>'&  
        '************************************************************************* <In+V  
        'Lens index of refraction 0EC/l OS  
        '************************************************************************* yeV|j\TJI.  
        eID = FindMaterial( "Lens" ) /qd~|[Kx:  
        GetModelMaterial eID, mat P> 7PO~E.  
    ?6:e%YT  
        mat.Nd = nlens "}< baz  
        SetModelMaterial eID, mat s6I/%R3  
        Print "Set lens index of refraction = " & nlens =8 DS~J{  
    vGp`P  
        '************************************************************************* nB%[\LtZ?  
        'Pupil diameter ~B`H5#  
        '************************************************************************* Lx3`.F\mG  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) 7#9fcfL  
    No]#RvEd3  
        'Adjust pupil diameter (trimming volume inner hole) *(nu0  
    CbT ;#0  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" s18A  
    bWMb@zm  
        ' Adjust pupil location to just in front of the lens Qs_]U  
        parID = FindFullName( "Geometry.Arizona Eye" ) IZZ $p{  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) gE6{R+sp  
        count = 0 #LG<o3An  
        While GetOperationCount(eID)>count A)nE+ec1  
            GetOperation eID, count, op !GoHCe[10  
            If op.Type="ShiftZ" Then {)- 3g~  
                DeleteOperation eID,count w#;y  
                count=count-1 GUsJF;;V  
            End If z HvW@A'F  
            count=count+1 M =GF@C;b  
        Wend `W4Is~VVv  
        op.Type = "ShiftZ" Q7?[@2HN  
        op.val1 = taq-0.01 aOW$H:b  
        op.parent = parID ;7g~4Uv4}  
        AddOperation eID, op >):>Pz%U  
    FX/f0C3CK  
        Print "Set pupil diameter = " & pupilDiam e]smnf  
    v t}A6mF  
        'Update AZ Eye subassembly Description s%)>O{{)  
        eID = FindFullName( "Geometry.Arizona Eye" ) <GoZ>  
        GetEntity eID, entity nkz^^q`5l7  
        entity.Description = "Accommodation = " & A & "D" m?`$NJST  
        SetEntity eID, entity p 4lB#  
    a8Z{-=)  
        Update D;X/7 p|>  
        Print "DONE!" NQ\<~a`Eq  
         {7 nz:f  
    End Sub Y!_e ,]GW  
    vi0nJ -Xg  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: ]U3@V#*  
    5f#]dgBe  
    Accommodation = 4 Diopters @5TJ]=  
    Pupil Diameter = 4 mm ef -PlGn  
    Set aqueous humor thickness = 2.81 bcFZ ~B  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 ?rgtbiSW-  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 +v|]RgyW)  
    Set lens thickness = 3.927 `HsI)RmX  
    Set lens index of refraction = 1.42672 A)u,Hvn  
    Set pupil diameter = 4 bH_zWk  
    DONE! Y/G~P,9  
     
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