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    [技术]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: 2021-10-22
    简介 ,>bGbx  
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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。 ?q d,>  
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    模型 ^eT DD  
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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。 {h/OnBwG  
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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. kfMhw M8kP  
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    光源 w?]ZU-  
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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。 ~-XOvKJb  
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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。 55 S\&Ad$  
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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。 Qqd6.F  
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    图2. 字母F光源的设定方法光 T"L0Iy!k;  
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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 .ocx(_3G  
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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。 q+YuVQ-fx  
    E S#rs="  
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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。 1 L+=|*:  
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    图5. 视网膜重点采样规格设定
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    脚本 Ze-MAt  
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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: GE%2/z p  
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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。 uz]E_&2  
    余下的脚本计算与屈光度有关的所有参数。 :=rA Yc3]  
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    分析 aRbx   
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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。 .qSBh hH\  
    ;knd7SC   
    图7. 字母F在视网膜上颜色分析
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    脚本代码 ;(K  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. Hl4\M]]/&  
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    Dim entity As T_ENTITY vT?Q^PTO  
    Dim op As T_OPERATION CXTt(-FT  
    Dim mat As T_MODELMATERIAL *i`v~ >  
    Dim A As Double ]\OWZ{T'j  
    Dim pupilDiam As Double !tI=`Ml[  
    Dim eID As Long A^pu  
    Dim parID As Long d4%dIR)  
    Dim count As Integer 4py(R-8\  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double Y5HfN[u^7  
    Dim tlens As Double, nlens As Double I[ai:   
    Dim curv As Double, conic As Double HeCcF+  
    Dim ok As Long :v`o6x8  
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    Sub Main , 7Xqte  
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        '用户输入对话框 (B&h;U$HAH  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 UV4u.7y  
            TextBox 220,21,40,21,.TextBox1 'default: 0 prZ55MS.  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 WE")xhV6  
            OKButton 40,91,90,21 K'NcTw#f  
            CancelButton 190,91,90,21 o w2$o\hC  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 cqEHYJ;B  
            TextBox 220,49,40,21,.TextBox2 'default: 4 ,*dzJT$k  
        End Dialog <{giHT  
        Dim dlg As UserDialog BBvZeG $Y  
    yIOLs}!SF  
        ok = Dialog (dlg) h2% J/69  
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        If ok=0 Then    'cancel button was pressed $_)=8"Sn  
            Print "Execution cancelled." +jtA&1cf  
            End :7\9xH  
        End If a"QU:<-v  
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        'Assign accommodation and pupil diameter & use defaults if field left empty 3% ^z?_  
        If dlg.TextBox1 = "" Then >\Z R*CS  
            A = 0           'Default accommodation H>.B99vp  
        Else pW{8R^vKm  
            A = CDbl(dlg.TextBox1) %w7m\nw@  
        End If i&A%"lOI9  
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        If dlg.TextBox2 = "" Then rs:Q%V ^  
            pupilDiam = 4   'Default pupil diameter azo0{`S?  
        Else _R7 w?!t8  
            pupilDiam = CDbl(dlg.TextBox2) B;!f<"a8  
        End If ) r9b:c\  
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        Print " " :tM?%=Q  
        Print "Accommodation = " & A & " Diopters" c&f y{}10  
        Print "Pupil Diameter = " & pupilDiam & " mm" ANMYX18M  
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        ' Calculate new parameters with accommodation .Pw%DZ'  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness PKA }zZ  
    6e.v&f7(  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens Qw?+!-7TN  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens .^[_ V  
    )p8I @E  
        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens "}b'E#  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens 1zjaR4Tf  
    %jEY 3q  
        tlens = 3.767 + 0.04*A                  'Lens thickness K;U39ofW  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction aV>aiR=  
    m&IsDAn  
        'Adjust parameters to account for accommodation W J+> e+  
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        '************************************************************************* Km3&N  
        'Aqueous thickness (Position of Lens) ([ dT!B#aH  
        '************************************************************************* 3bs4mCq  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) :EZQ'3X  
        GetCustomElement eID, entity Ftv8@l  
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        parID = FindFullName( "Geometry.Arizona Eye" ) mJC3@V s  
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        ' Delete any shift(s) in z )NT5yF,m  
        count = 0 ~|l IC !q  
        While GetOperationCount(eID)>count :eOR-}p'  
            GetOperation eID, count, op u@=?#a$$  
            If op.Type="ShiftZ" Then ( 9$"#o  
                DeleteOperation eID,count Ht[{ryTxu  
                count=count-1 }nud  
            End If jtKn3m7 +p  
            count=count+1 a3@w|KLt  
        Wend aMK~1]Cx  
    l#bAl/c`  
        'Set new shift in IfV  3fJ7  
        op.Type = "ShiftZ" Ct]A%=cZW  
        op.val1 = taq [pgZbOIN37  
        op.parent = parID <7n]Ai@Y  
        AddOperation eID, op 8)xt(~qF  
        Print "Set aqueous humor thickness = " & taq-0.55 otr>3a*'  
    pCU*@c!  
        '************************************************************************* SwH2$:f  
        'Radius and conic constant of anterior lens #Hu~}zy  
        '************************************************************************* PlCc8Zy  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) :reTJQwr  
        GetConic eID, entity, curv, conic vR>o}%`  
    v6uxxsI>Hm  
        SetConic eID, entity, 1/Rant, CCant )1F<6R  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant h`5)2n+P  
    I*\^,ow  
        '************************************************************************* Bct"X#W|&  
        'Radius and conic constant of posterior lens uQeu4$k!  
        '************************************************************************* QH@>icAb  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) $'"8QOnJ?k  
        GetConic eID, entity, curv, conic *'ZN:5%H  
    o-eKAkh  
        SetConic eID, entity, 1/Rpost, CCpost vtxvS3   
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost 2KI!af[I  
    m)&znLA  
        '************************************************************************* O}Le]2'  
        'Lens thickness (Position of posterior lens surface) Bjj<\8 ^M  
        '************************************************************************* 5bX6#5uP1  
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        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) u oVNK  
    HGDV O Jq  
        ' Delete any z-shift(s) S~F`  
        count = 0 p!W[X%`)  
        While GetOperationCount(eID)>count )\ 0F7Z  
            GetOperation eID, count, op 5/I_w0  
            If op.Type="ShiftZ" Then ,&]MOe4@>  
                DeleteOperation eID,count SR7j\1a/2A  
                count=count-1 Xm_$ dZ  
            End If v[S-Pi1  
            count=count+1 RiFw?Q+  
        Wend l]#!+@  
    ?m"|QS!!K  
        'Set new z-shift 'BqZOZw  
        op.Type = "ShiftZ" wu~hqd  
        op.val1 = tlens wH6u5*$p  
        op.parent = parID k%Vv?{g  
        AddOperation eID, op raB+,Oi$G  
        Print "Set lens thickness = " & tlens 3$p#;a:=n  
    Yx)o:#2  
        '************************************************************************* NHaMo*xQ  
        'Lens index of refraction ;b%{ilx:  
        '************************************************************************* XutF"9u  
        eID = FindMaterial( "Lens" ) :FQ1[X1 xm  
        GetModelMaterial eID, mat bEH de*q(  
    \54}T 4R  
        mat.Nd = nlens |V&G81sM  
        SetModelMaterial eID, mat 3h=8"lRc  
        Print "Set lens index of refraction = " & nlens pyB~M9Bp/  
    Cmd329AH  
        '************************************************************************* M}F~_S0h  
        'Pupil diameter ;;&F1@3tBa  
        '************************************************************************* r%=[},JQ  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) Q~,YbZ-7  
     <!'M} s  
        'Adjust pupil diameter (trimming volume inner hole) m J  
    <' m6^]:  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" <,8l *1C  
    4zc<GL3[  
        ' Adjust pupil location to just in front of the lens a/:XXy |  
        parID = FindFullName( "Geometry.Arizona Eye" ) m *X7T  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) WS0JS'  
        count = 0 Ex(3D[WmMW  
        While GetOperationCount(eID)>count ;Ss$2V'a  
            GetOperation eID, count, op jX */piSq  
            If op.Type="ShiftZ" Then ;4~U,+Av  
                DeleteOperation eID,count nkY@_N  
                count=count-1 ;+_8&wbqW  
            End If 3fkk [U  
            count=count+1 PEXq:TA  
        Wend _a'A~JY  
        op.Type = "ShiftZ" 8b&uU [  
        op.val1 = taq-0.01 H7&xLYQ2  
        op.parent = parID (H#M<N  
        AddOperation eID, op FxU'LN<;HY  
    *i%quMv  
        Print "Set pupil diameter = " & pupilDiam %FA@)?~  
    6Z! y  
        'Update AZ Eye subassembly Description T0e<Slo~C  
        eID = FindFullName( "Geometry.Arizona Eye" ) < K %j  
        GetEntity eID, entity O.+9,4A(  
        entity.Description = "Accommodation = " & A & "D" Y94MI1O5$  
        SetEntity eID, entity w G!u+  
    _6LoVS  
        Update iS: #o>  
        Print "DONE!" =_d%=m  
         QZYU0; VF  
    End Sub [_!O<z_sB  
    (4+1lOd  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: Qi=*1QAkr  
    S*t%RZ~a  
    Accommodation = 4 Diopters AFm1t2,+;  
    Pupil Diameter = 4 mm shFc[A,r}  
    Set aqueous humor thickness = 2.81 q-AN[_@  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 7TWNB{ K_  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 <Oz66bTze  
    Set lens thickness = 3.927 L\  j:  
    Set lens index of refraction = 1.42672 +x1/-J8_sg  
    Set pupil diameter = 4 =uV,bG5V1  
    DONE! i/qTFQst _  
     
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