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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 LZbHK.G=  
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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。 xF>w r r  
    J#;m)5[ a%  
    模型 ?#y<^oNM  
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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。 'GO..m"G  
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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. ;+Kewi;<  
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    光源 M@86u^80  
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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。 cG"<*Xi<  
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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。 z4UQ:z@  
    ! yUKNR  
    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。 ]lG\t'R  
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    图2. 字母F光源的设定方法光 W/QOG&g  
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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 Hx0,kOh)  
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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。 7Zn Q] ?  
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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。 ^>28>!"1  
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    图5. 视网膜重点采样规格设定
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    脚本 2DQC)Pe+z  
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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: _n gMC]-T  
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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。 ;VBfzFH  
    余下的脚本计算与屈光度有关的所有参数。 /L Tyiiz6  
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    分析 V lNzm  
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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。 X y<KvFy  
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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 Zt=X %M|aw  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. &6EfybAt^_  
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    Dim entity As T_ENTITY y}`%I&]n  
    Dim op As T_OPERATION Ymvd= F   
    Dim mat As T_MODELMATERIAL bhYaG i0  
    Dim A As Double \ed(<e>  
    Dim pupilDiam As Double *k$&Hcr$  
    Dim eID As Long OR{"9)I  
    Dim parID As Long pn|{P<b\  
    Dim count As Integer = ByW`  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double ?H?r!MZ%  
    Dim tlens As Double, nlens As Double S3f BZIPp  
    Dim curv As Double, conic As Double G_]mNh  
    Dim ok As Long WG n1pW  
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    Sub Main F6/bq/s  
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        '用户输入对话框 |<$O5b'  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 j!rz@Y3  
            TextBox 220,21,40,21,.TextBox1 'default: 0 * PPFk.#x  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 f*Bc`+G  
            OKButton 40,91,90,21 w@We,FUJN  
            CancelButton 190,91,90,21 Y._AzJ&B[  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 /2q%'"x(  
            TextBox 220,49,40,21,.TextBox2 'default: 4 <^paRKEa+#  
        End Dialog <s >SnOD  
        Dim dlg As UserDialog CqV \:50g  
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        ok = Dialog (dlg) {`> x"Y5  
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        If ok=0 Then    'cancel button was pressed LTHS&3% 2  
            Print "Execution cancelled." i%2K%5{)$D  
            End COafVlJ,l  
        End If Tj:F Qnx  
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        'Assign accommodation and pupil diameter & use defaults if field left empty JI(|sAH  
        If dlg.TextBox1 = "" Then [cq>QMW  
            A = 0           'Default accommodation uwJkqlUOz  
        Else <U*d   
            A = CDbl(dlg.TextBox1) lk|/N^8M  
        End If E J1:N*BA  
    _DQdo  
        If dlg.TextBox2 = "" Then #]2u!a ma  
            pupilDiam = 4   'Default pupil diameter uJizR F  
        Else CAO$Zt  
            pupilDiam = CDbl(dlg.TextBox2) k?,g:[4!  
        End If sQw-#f7t  
    hS  Sq=(S  
        Print " " Uka 4iya  
        Print "Accommodation = " & A & " Diopters" l:+1j{ d7  
        Print "Pupil Diameter = " & pupilDiam & " mm" :>=,sLfJ  
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        ' Calculate new parameters with accommodation [}D)73h`  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness bc-"If Z&  
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        Rant = 12.0 - 0.4*A                     'Radius of anterior lens EifYK  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens %{Gqhb=u\  
    ^*W3{eyi(L  
        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens Vufw:}i+^  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens !?96P|G  
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        tlens = 3.767 + 0.04*A                  'Lens thickness HDYf^mcW  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction m(Oup=\%b}  
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        'Adjust parameters to account for accommodation H={,zZ11{  
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        '************************************************************************* V+Z22  
        'Aqueous thickness (Position of Lens) kDrGl{U}  
        '************************************************************************* 1{*x+GC^/  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) =vWnqF:  
        GetCustomElement eID, entity  F#hM S<  
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        parID = FindFullName( "Geometry.Arizona Eye" ) *+G K ?Ga  
    /cg!Ap5  
        ' Delete any shift(s) in z {VFp fo  
        count = 0 W$y?~2  
        While GetOperationCount(eID)>count S"dQ@r9  
            GetOperation eID, count, op 5v]xk?Eb  
            If op.Type="ShiftZ" Then 2b<0g@~X  
                DeleteOperation eID,count V1+IqOXAIp  
                count=count-1 +1rJ;G  
            End If g$+3IVq&  
            count=count+1 E'C[+iK6,  
        Wend (mzyA%;W  
    /w|YNDA]j  
        'Set new shift in }.Ug`7%G  
        op.Type = "ShiftZ" ,yC~{ H  
        op.val1 = taq rkD(K G9E  
        op.parent = parID te`4*t  
        AddOperation eID, op pG (8VteH  
        Print "Set aqueous humor thickness = " & taq-0.55 - na]P3 s  
    )TxhJB5|  
        '************************************************************************* }"szL=s  
        'Radius and conic constant of anterior lens ^t| %!r G  
        '************************************************************************* I;No++N0  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) ;gF"o5/Q  
        GetConic eID, entity, curv, conic aW"BN 5eM>  
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        SetConic eID, entity, 1/Rant, CCant bv+PbK]iO  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant \d6A<(!=v  
    6K,AQ.=V2  
        '************************************************************************* P\Ka'i  
        'Radius and conic constant of posterior lens (|WqOwmoUt  
        '************************************************************************* 2JbCYCTC  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) 6pH.sX$!_  
        GetConic eID, entity, curv, conic (h E^<jNR  
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        SetConic eID, entity, 1/Rpost, CCpost U+\\#5$  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost J~~WV<6  
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        '************************************************************************* lwV#j}G  
        'Lens thickness (Position of posterior lens surface) \E n^Vf  
        '************************************************************************* /m%;wH|6%  
    |kjk{  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) (u~@@d"  
    FN G]  
        ' Delete any z-shift(s) Z/%>/  
        count = 0 &n['#7 <(!  
        While GetOperationCount(eID)>count lLnD%*03  
            GetOperation eID, count, op IF<jq\M  
            If op.Type="ShiftZ" Then Zb@PwH4  
                DeleteOperation eID,count fi1tF/ `  
                count=count-1 {`{U\w5Af  
            End If Z5v\[i@H!  
            count=count+1 |A"zxNeS"  
        Wend emTqbO  
    DRal{?CH  
        'Set new z-shift ]c*&5c$  
        op.Type = "ShiftZ" *S7<QyVh  
        op.val1 = tlens U1I2+;"#A  
        op.parent = parID W<\KRF$S;  
        AddOperation eID, op F6yMk%  
        Print "Set lens thickness = " & tlens 3~Ah8,  
    Y\s@'UoVN  
        '************************************************************************* iOw'NxmY  
        'Lens index of refraction :Oxrw5`=  
        '************************************************************************* 4v Ug:'DM  
        eID = FindMaterial( "Lens" ) ?8pRRzV$  
        GetModelMaterial eID, mat J#MUtpPdQ  
    $vx]\` ^  
        mat.Nd = nlens uq'T:d  
        SetModelMaterial eID, mat H}`}qu #~V  
        Print "Set lens index of refraction = " & nlens N_wB  
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        '************************************************************************* r"c<15g2'  
        'Pupil diameter 6VW&An[6r  
        '************************************************************************* ~8Z)e7 j  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) xzh`q  
    .O@T#0&=_  
        'Adjust pupil diameter (trimming volume inner hole) mqQN*.8*  
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        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" 4'[/gMUkw  
    8!sl) R  
        ' Adjust pupil location to just in front of the lens }Dp/K4  
        parID = FindFullName( "Geometry.Arizona Eye" ) CKCot  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) jhg0H2C8  
        count = 0 /GRkQ",  
        While GetOperationCount(eID)>count FbhF45H  
            GetOperation eID, count, op |U)M.\h  
            If op.Type="ShiftZ" Then t[VA|1gG  
                DeleteOperation eID,count =)!sWY:  
                count=count-1 z&Cz!HrS  
            End If vL}e1V:  
            count=count+1 ' >4 H#tu  
        Wend o!bV;]  
        op.Type = "ShiftZ" ;<hLy(@  
        op.val1 = taq-0.01 sN"<baZ  
        op.parent = parID U4M}E h8  
        AddOperation eID, op HHzAmHt  
    `)?N7g[\u  
        Print "Set pupil diameter = " & pupilDiam it77x3Mm F  
    }hRw{#*8  
        'Update AZ Eye subassembly Description Y`3V&8X  
        eID = FindFullName( "Geometry.Arizona Eye" ) wl7G6Y2  
        GetEntity eID, entity ZMEU4?F  
        entity.Description = "Accommodation = " & A & "D" n<3qr}ZG^  
        SetEntity eID, entity d;@"Naw  
    fRh}n ^X  
        Update B63puX{u#  
        Print "DONE!" xl>8B/Zmf#  
         |kGj}v3  
    End Sub O3 NI  
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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: }JI@f14  
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    Accommodation = 4 Diopters e|> 5 R  
    Pupil Diameter = 4 mm 7bSj[kuN  
    Set aqueous humor thickness = 2.81 Vq$8!#~w  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 X)Zc*9XA  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 mUA!GzJ~u-  
    Set lens thickness = 3.927 Y<qWG 8X  
    Set lens index of refraction = 1.42672 Zo`_vx/{j  
    Set pupil diameter = 4 FJQ=611@  
    DONE! pT|l"q@  
    vj%3v4  
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    QQ:2987619807 18nT Iz_  
     
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