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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 ~} 02q5H  
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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。 N!//m?}  
    hcqg94R#_  
    模型 /u&7!>,  
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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。 cGSG}m@B`  
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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. JLbmh1'  
    NY GWA4L  
    光源 B/_~j_n$m  
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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。 ^H!45ph?Jc  
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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。 `J$7X  
    cX#U_U~d  
    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。 =3Ohy,5L  
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    图2. 字母F光源的设定方法光 $!vK#8-&{  
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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 p=[SDk`  
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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。 ]P96-x  
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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。 ]m :Y|,:6  
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    图5. 视网膜重点采样规格设定
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    脚本 e0M'\'J  
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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: v"l8[::  
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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。 T7^?j :kJ/  
    余下的脚本计算与屈光度有关的所有参数。 F+]cFx,/  
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    分析 A`* l+M^z  
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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。 >uxAti\  
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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 eVzZfB-=4}  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. 3a'#Z4Z-  
    {TvB3QOsj  
    Dim entity As T_ENTITY mRy0zN>?  
    Dim op As T_OPERATION xKkXr-yb`f  
    Dim mat As T_MODELMATERIAL F#~*j  
    Dim A As Double w3&L 6|,  
    Dim pupilDiam As Double FzAzAl 5  
    Dim eID As Long =&)R2pLs*  
    Dim parID As Long kz G W/  
    Dim count As Integer x->+w Jm@s  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double S4pEBbV^n  
    Dim tlens As Double, nlens As Double  Cg8   
    Dim curv As Double, conic As Double Z^J 7r&\V  
    Dim ok As Long J$d']%Dwb  
    qYQ vjp  
    Sub Main MS]Q\g}U  
    rN,T}M= 2  
        '用户输入对话框  7gx?LI_e  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 RN$>!b/  
            TextBox 220,21,40,21,.TextBox1 'default: 0 qC B{dp/  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 QQt4pDir>  
            OKButton 40,91,90,21 g""Ep  
            CancelButton 190,91,90,21 iz0:  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 8~F?%!X  
            TextBox 220,49,40,21,.TextBox2 'default: 4 I]%Kd('  
        End Dialog hrGX65>  
        Dim dlg As UserDialog F\jawoO9  
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        ok = Dialog (dlg) czsnPmNEI  
    &UNQ4-s  
        If ok=0 Then    'cancel button was pressed ?g:sAR'  
            Print "Execution cancelled." ">5$;{;2r  
            End r[wjE`Z/T  
        End If D^}2ilk!  
    q8HnPXV  
        'Assign accommodation and pupil diameter & use defaults if field left empty j<k-w  
        If dlg.TextBox1 = "" Then DG}s`'  
            A = 0           'Default accommodation biS{.  
        Else Y ` Z,52  
            A = CDbl(dlg.TextBox1) nX\mCO4T  
        End If R:rols"QM  
    X]o"vx%C  
        If dlg.TextBox2 = "" Then ;/H/Gn+  
            pupilDiam = 4   'Default pupil diameter  >hzSd@J&  
        Else Y[W:Zhl;  
            pupilDiam = CDbl(dlg.TextBox2) k9;t3-P  
        End If R\<d&+q@  
    W0}FOfL9  
        Print " " V9Dq<y-y  
        Print "Accommodation = " & A & " Diopters" "x nULQK  
        Print "Pupil Diameter = " & pupilDiam & " mm" yF1p^>*ak&  
    qj4jM7  
        ' Calculate new parameters with accommodation TF80WMt  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness xdVsbW)L2  
    >x6)AH.  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens h6}rOchj  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens O<ybiPR  
    skU }BUK6  
        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens LB[?kpy  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens ~,Yd.?.TI  
    a!f71k r  
        tlens = 3.767 + 0.04*A                  'Lens thickness ~Orz<%k.  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction itg"dGDk  
    `5"3Cj"M  
        'Adjust parameters to account for accommodation GB;_!69I  
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        '************************************************************************* i52JY&N  
        'Aqueous thickness (Position of Lens) >UV}^OO  
        '************************************************************************* ZAn9A>5_  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) `sg W0Uf  
        GetCustomElement eID, entity IkG;j+=  
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        parID = FindFullName( "Geometry.Arizona Eye" ) dpX Fx"4A  
    IM,4Si2  
        ' Delete any shift(s) in z <;uM/vS i  
        count = 0 mD|Q+~=|e  
        While GetOperationCount(eID)>count fsWIz1K  
            GetOperation eID, count, op awjAv8tPO!  
            If op.Type="ShiftZ" Then VDxF%!h(  
                DeleteOperation eID,count P]OUzI,  
                count=count-1 gf>GK/^HH  
            End If Qc=-M'9  
            count=count+1 0F.S[!I  
        Wend URt+MTU[  
    ; ), ,Hk  
        'Set new shift in r'lANl-v  
        op.Type = "ShiftZ" E25w^x2  
        op.val1 = taq /5Vv5d/Z4!  
        op.parent = parID 5:#|Op N  
        AddOperation eID, op (_6JQn  
        Print "Set aqueous humor thickness = " & taq-0.55 W}%"xy]N  
    ~ Nf|,{[(5  
        '************************************************************************* JT=ax/%Mo  
        'Radius and conic constant of anterior lens l?YO!$  
        '************************************************************************* NciIqF  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) >yVp1Se  
        GetConic eID, entity, curv, conic 2m} bddS  
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        SetConic eID, entity, 1/Rant, CCant ?RW1%+[  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant h%NM%;"H/  
    ,yvS c  
        '************************************************************************* ReL+V  
        'Radius and conic constant of posterior lens G \Nnw==v  
        '************************************************************************* )heHERbJ  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) qJ<l$Ig  
        GetConic eID, entity, curv, conic n)z:C{  
    b'z\|jY  
        SetConic eID, entity, 1/Rpost, CCpost SLUQFoz}  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost /Ahh6=qQY  
    p )]x,F  
        '************************************************************************* JG7K-W|!c  
        'Lens thickness (Position of posterior lens surface) N R 4\TU  
        '************************************************************************* 7$t['2j3  
    ]0[ot$Da6  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) Oamz>Hplu  
    [7g-M/jvY  
        ' Delete any z-shift(s) *OIBMx#qxn  
        count = 0 `e?~c'a@  
        While GetOperationCount(eID)>count ^4'!B +}F  
            GetOperation eID, count, op Qw }1mRv  
            If op.Type="ShiftZ" Then y$_]}<b  
                DeleteOperation eID,count 8?x:PkK  
                count=count-1 ?Zk;NL9  
            End If RCxwiZaf33  
            count=count+1 ):}A Quy]  
        Wend e&Q w\Ze  
    <"xqt7f  
        'Set new z-shift m~fDDQs  
        op.Type = "ShiftZ" c@)?V>oe  
        op.val1 = tlens u8`S*i/)m  
        op.parent = parID &-X51O C  
        AddOperation eID, op 065=I+Vo  
        Print "Set lens thickness = " & tlens !(viXV5  
    !^v~hD$_q  
        '************************************************************************* a2kAZCQ  
        'Lens index of refraction $|T Lt{ K  
        '*************************************************************************  Zy8tI#  
        eID = FindMaterial( "Lens" ) uJeJ=7,EO  
        GetModelMaterial eID, mat zjSl;ru  
    -5|el3%)  
        mat.Nd = nlens T:9M|mD  
        SetModelMaterial eID, mat [TFp2B~)#  
        Print "Set lens index of refraction = " & nlens vts"  
    ;Ru[^p.{  
        '************************************************************************* m/(/!MVy  
        'Pupil diameter hY !>>  
        '************************************************************************* W:6#0b"_#  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) %+;l|Z{Uf  
     6pfkv2.}  
        'Adjust pupil diameter (trimming volume inner hole) 4FZ/~Y1}  
    v\qyDZVV  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" ! hEZV&y  
    "a33m:]J  
        ' Adjust pupil location to just in front of the lens [McqwU/Q  
        parID = FindFullName( "Geometry.Arizona Eye" ) 5p5"3m;M7  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) ,dw\y/dn  
        count = 0 >!{8)ti  
        While GetOperationCount(eID)>count Ggst s  
            GetOperation eID, count, op bAuiMw7!  
            If op.Type="ShiftZ" Then 8 Gy*BpmJn  
                DeleteOperation eID,count }d iE'  
                count=count-1 0Zo><=  
            End If 'zT7$ .L  
            count=count+1 N'$P( bx  
        Wend ^Jdg%U?  
        op.Type = "ShiftZ" \u(Gj]B#"  
        op.val1 = taq-0.01 oIIi_yc  
        op.parent = parID yf`_?gJ6d  
        AddOperation eID, op )  LTV+?  
    FeQo,a  
        Print "Set pupil diameter = " & pupilDiam PYY<  
    m qUDve(  
        'Update AZ Eye subassembly Description Fm6]mz%~u#  
        eID = FindFullName( "Geometry.Arizona Eye" ) 9F6dKPN:  
        GetEntity eID, entity -f1}N|hy  
        entity.Description = "Accommodation = " & A & "D" ImH9 F\  
        SetEntity eID, entity QtW e,+WWV  
    99,=dzm  
        Update '&K' 0qG  
        Print "DONE!" ,!g/1m  
         9f5~hBlo  
    End Sub !8W0XUqh+  
    7^UY%t  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: W[]|Uu/%  
    =?wDQ:  
    Accommodation = 4 Diopters >1]hR)Ip  
    Pupil Diameter = 4 mm OT6Te&  
    Set aqueous humor thickness = 2.81 _FS #~z'j  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 DRXUQH  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 >uQjygjj  
    Set lens thickness = 3.927 P c5C*{C  
    Set lens index of refraction = 1.42672 KbK!4  
    Set pupil diameter = 4 U~@;2\ o  
    DONE! In!^+j  
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    QQ:2987619807 /l3Oi@\  
     
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