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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 W]5USFan  
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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。 GO^_=EMR[  
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    模型 =hMY2D  
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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。 [!U?}1YQ  
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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. rhb@FE)Mc  
    $]A/ o(  
    光源 ,.qMEMm  
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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。 $n^gmhp  
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    图1. 光源和提示信息使用
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    除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 1rDqa(7  
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    在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 6%VV,$p  
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    图2. 字母F光源的设定方法光 eR3$i)5  
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    图3. 字母F在视网膜上位置点列图
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    视网膜的散射 U8G%YGMG.4  
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    在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 6l4mS~/  
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    图4. 视网膜朗伯散射设定
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    注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 ._+J_ts  
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    图5. 视网膜重点采样规格设定
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    脚本 ($~RoQ=0S  
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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: eVM/uDD  
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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。 +r<0zh,n.  
    余下的脚本计算与屈光度有关的所有参数。 V}zEK0n(6  
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    分析 I'@Ydt2  
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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。 e~"fn*"  
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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 A2n qf^b{#  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. UA yC.$!  
    >(snII  
    Dim entity As T_ENTITY &RTX6%'KY  
    Dim op As T_OPERATION =k oSUVO0  
    Dim mat As T_MODELMATERIAL DK oN}c  
    Dim A As Double SC- $B  
    Dim pupilDiam As Double eBJUv]o %  
    Dim eID As Long 5P'p2x#U  
    Dim parID As Long cDI [PJ9  
    Dim count As Integer ru7RcYRq  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double _Dwqy(   
    Dim tlens As Double, nlens As Double @GvztVYo  
    Dim curv As Double, conic As Double >X51$wBL  
    Dim ok As Long WsD M{1c  
    2 6>ZW4Z  
    Sub Main =?-ye!w  
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        '用户输入对话框 XduV+$ 03  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 [S@}T zE  
            TextBox 220,21,40,21,.TextBox1 'default: 0 }E7:ihy  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 a:_I  
            OKButton 40,91,90,21 8Y#\xzod  
            CancelButton 190,91,90,21 G!XIc>F*  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 "C*B,D*}:  
            TextBox 220,49,40,21,.TextBox2 'default: 4 {$1J=JbE  
        End Dialog _kY#D;`:r  
        Dim dlg As UserDialog ,<Q~b%(3  
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        ok = Dialog (dlg) 3<=G?of  
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        If ok=0 Then    'cancel button was pressed & V)6!,rb  
            Print "Execution cancelled." 0n/gd"M  
            End 9Mgq1Z  
        End If NxLXm,  
    ?r2#.W  
        'Assign accommodation and pupil diameter & use defaults if field left empty {vE(l'  
        If dlg.TextBox1 = "" Then fkSwD(  
            A = 0           'Default accommodation vhb)2n  
        Else Gxa x2o  
            A = CDbl(dlg.TextBox1) q SejLh6  
        End If dCFlM&(i  
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        If dlg.TextBox2 = "" Then c   c  
            pupilDiam = 4   'Default pupil diameter NOS>8sy  
        Else w%zRHf8C  
            pupilDiam = CDbl(dlg.TextBox2) aSP4a+\*  
        End If |G/7_+J6  
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        Print " " 9TAj) {U%'  
        Print "Accommodation = " & A & " Diopters" {W\T"7H  
        Print "Pupil Diameter = " & pupilDiam & " mm" z7-k`(l4  
    Bu]t*$  
        ' Calculate new parameters with accommodation T{}fHfM  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness WX4;l(P L=  
    =@)d5^<5F  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens %AW4.3()8  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens AE@NOM7u  
    &Sp -w?kM  
        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens 4c+$%pq5  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens /Ky__l!bu  
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        tlens = 3.767 + 0.04*A                  'Lens thickness /xJqJ_70X  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction ,Os? f:Y6  
    y3<Y?M4  
        'Adjust parameters to account for accommodation HWm#t./  
    {5|("0[F  
        '************************************************************************* b|5w]<?'  
        'Aqueous thickness (Position of Lens) U,Mx@KdV  
        '************************************************************************* rbZ[!LA  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) aV1lJ ;0  
        GetCustomElement eID, entity p#KW$OQ]8  
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        parID = FindFullName( "Geometry.Arizona Eye" ) 90xk$3(  
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        ' Delete any shift(s) in z Z"s|]K "  
        count = 0 q:8_]Qt  
        While GetOperationCount(eID)>count \b*X:3g*  
            GetOperation eID, count, op m%#`y\]I  
            If op.Type="ShiftZ" Then ir3VTqz  
                DeleteOperation eID,count >`jU`bR@  
                count=count-1 0qFH s  
            End If 6> {r6ixs1  
            count=count+1 t_ur&.^SB  
        Wend 4Tct  
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        'Set new shift in =i HiPvP0  
        op.Type = "ShiftZ" W@\ (nfD2  
        op.val1 = taq Jg$xO@.  
        op.parent = parID q|)Q9+6$+  
        AddOperation eID, op n +1y  
        Print "Set aqueous humor thickness = " & taq-0.55 X%9*O[6{  
    ~]L}p  
        '************************************************************************* 3_5XHOdE  
        'Radius and conic constant of anterior lens  StYzGJ  
        '************************************************************************* fMf&?`V  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) P6U%=xaC  
        GetConic eID, entity, curv, conic [XlB<P=|>  
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        SetConic eID, entity, 1/Rant, CCant <EO<x D=:  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant k6\^p;!Y  
    ]|:uU  
        '************************************************************************* =sOo:s  
        'Radius and conic constant of posterior lens @oe\"vz  
        '************************************************************************* f*xpE`&  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) (!?K7<Jv  
        GetConic eID, entity, curv, conic >P. 'CU  
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        SetConic eID, entity, 1/Rpost, CCpost 5c -N0@\  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost sNU}n<J-  
    @\Js8[wS9@  
        '************************************************************************* >adV(V<  
        'Lens thickness (Position of posterior lens surface) eR!G[Cw-  
        '************************************************************************* XT@Mzo49z\  
    #-cTc&$O;  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) 'i>xf ^  
    7]2 2"mc  
        ' Delete any z-shift(s) +iF 1sC_  
        count = 0 D>wZ0p b-  
        While GetOperationCount(eID)>count ^O%9yEo  
            GetOperation eID, count, op q9}m!*8e  
            If op.Type="ShiftZ" Then v@u<Ww;=@  
                DeleteOperation eID,count 3 EYiQ`  
                count=count-1 S-Ai3)t6  
            End If ^i_Iqph=  
            count=count+1 qs=tJ ^<<o  
        Wend So4nJ><p  
    ulXnq`  
        'Set new z-shift E(L<L1:"  
        op.Type = "ShiftZ" 'dt\db5p  
        op.val1 = tlens S]2 {ZDP  
        op.parent = parID  ,-rB=|w  
        AddOperation eID, op =3ADT$YHd  
        Print "Set lens thickness = " & tlens b1!@v+  
    xRX>|S  
        '************************************************************************* #s+X+fe  
        'Lens index of refraction E`@43Nz  
        '************************************************************************* V,LVB_6  
        eID = FindMaterial( "Lens" ) F!8=FTb  
        GetModelMaterial eID, mat :):zNn_>`  
    Q_}/ Pn$1  
        mat.Nd = nlens fA8ozL T  
        SetModelMaterial eID, mat d bO#  
        Print "Set lens index of refraction = " & nlens Jyu`-=It  
    YU\Gj S~>&  
        '************************************************************************* ,d 7Z  
        'Pupil diameter 3ps,uozj  
        '************************************************************************* V-vlTgemwc  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) G :4;y7  
    A8dI:E+$  
        'Adjust pupil diameter (trimming volume inner hole) SFO&=P:U  
    _bI+QC#   
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" vR]mSX3)?  
    a c6*v49  
        ' Adjust pupil location to just in front of the lens fS./y=j(X  
        parID = FindFullName( "Geometry.Arizona Eye" ) #%cR%Z  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) 5G? .T?  
        count = 0 6q%ed UED  
        While GetOperationCount(eID)>count Fp:3#Bh  
            GetOperation eID, count, op #?m{YT{P  
            If op.Type="ShiftZ" Then 0>Fqx{!heq  
                DeleteOperation eID,count sx-F8:Qa  
                count=count-1 2z-$zB<vyw  
            End If QGPR.<D)B  
            count=count+1 },6*Y*?{  
        Wend 37K U~9-A  
        op.Type = "ShiftZ" v*L '{3f  
        op.val1 = taq-0.01 pF='jj51  
        op.parent = parID _$(GRNRYK  
        AddOperation eID, op =>YvA>izE  
    #>q[oie1e  
        Print "Set pupil diameter = " & pupilDiam X,Zd=  
    cQ,9Rnfl,  
        'Update AZ Eye subassembly Description (C~dkR?  
        eID = FindFullName( "Geometry.Arizona Eye" ) <|V'pim  
        GetEntity eID, entity "%kG RHq  
        entity.Description = "Accommodation = " & A & "D" s]bPV,"p  
        SetEntity eID, entity yfq>,  
    )KE_t^$  
        Update %Qd3BZ  
        Print "DONE!" Bbs5f@E  
         YZ*{^'  
    End Sub cUC17z2D  
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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: X X&K=<,Ja  
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    Accommodation = 4 Diopters Y^5"qd|`  
    Pupil Diameter = 4 mm }s6G!v^2""  
    Set aqueous humor thickness = 2.81 H%~Q?4  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 &oc_ a1 R  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 Mz}i[|U\  
    Set lens thickness = 3.927 1t%<5O;R  
    Set lens index of refraction = 1.42672 gA"<MI'y  
    Set pupil diameter = 4 \6LcVik  
    DONE! CLktNR(45  
     
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