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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 $F@ ,,*  
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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。 i&L!?6 5-f  
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    模型 LKM;T-  
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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。 EuKkIr/(  
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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. 76cT}l&.h8  
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    光源 v+DXs!O{  
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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。 XrGP]k6.^  
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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。 pE{Ecrc3|  
    CE|rn8MB  
    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。 CS;4ysNf  
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    图2. 字母F光源的设定方法光 mv#*%St5  
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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`g+I.P  
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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。 ,-SWrp`f  
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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。 5jsZJpk$  
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    图5. 视网膜重点采样规格设定
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    脚本 1;~| [C  
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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: "Ve9\$_s  
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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。 lLS7K8;4W  
    余下的脚本计算与屈光度有关的所有参数。 nNh5f]]  
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    分析 (P-$tHt  
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    屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 *$@u`nM  
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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 H4<Q}([w  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. m"wP]OQH*+  
    &"^U=f@v  
    Dim entity As T_ENTITY _IWLC{%V  
    Dim op As T_OPERATION ^95njE`>t`  
    Dim mat As T_MODELMATERIAL =X7_!vSv  
    Dim A As Double -L!lJ  
    Dim pupilDiam As Double 1o?uf,H7O  
    Dim eID As Long "6Z(0 iu:{  
    Dim parID As Long E@4/<;eKK  
    Dim count As Integer e/}4Pt  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double 9T0g%&  
    Dim tlens As Double, nlens As Double \r"gqv)^  
    Dim curv As Double, conic As Double zpZfsn!  
    Dim ok As Long %a!gN  
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    Sub Main wZWAx  
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        '用户输入对话框 Rx?ze(  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 ER0B{b  
            TextBox 220,21,40,21,.TextBox1 'default: 0 W:K '2j  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 Zpz3 ?VM(  
            OKButton 40,91,90,21 <,D*m+BWn  
            CancelButton 190,91,90,21 3cF8DNh  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 `@#rAW D  
            TextBox 220,49,40,21,.TextBox2 'default: 4 =nqHVRA  
        End Dialog UqNUX?(  
        Dim dlg As UserDialog Y(R.<LtY  
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        ok = Dialog (dlg) ?$l|];m)-  
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        If ok=0 Then    'cancel button was pressed 1xInU_SPf  
            Print "Execution cancelled." tS-gaT`T  
            End x,ZF+vE  
        End If 'xEK0~awD  
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        'Assign accommodation and pupil diameter & use defaults if field left empty $lq.*UQ;0  
        If dlg.TextBox1 = "" Then c3r`T{Kf  
            A = 0           'Default accommodation r-.>3J  
        Else 7VL|\^Y`q  
            A = CDbl(dlg.TextBox1) ]sJC%/  
        End If dT[JVl+3=  
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        If dlg.TextBox2 = "" Then gtePo[ZH.P  
            pupilDiam = 4   'Default pupil diameter _ ,/~P)  
        Else [2h.5.af  
            pupilDiam = CDbl(dlg.TextBox2) _ j`tR:  
        End If dqs~K7O^E  
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        Print " " gd*2*o$g(  
        Print "Accommodation = " & A & " Diopters" eW;3koE  
        Print "Pupil Diameter = " & pupilDiam & " mm" [FLR&=.(  
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        ' Calculate new parameters with accommodation is~2{:  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness K6sXw[VC[  
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        Rant = 12.0 - 0.4*A                     'Radius of anterior lens ~clX2U8u`  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens 6?;z\ AP&  
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        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens O1bW, n(  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens AI`k }sA~  
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        tlens = 3.767 + 0.04*A                  'Lens thickness B(ktIy  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction }>d  
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        'Adjust parameters to account for accommodation I]E 3&gnC  
    /;Hr{f jl{  
        '************************************************************************* `j(._`8%a  
        'Aqueous thickness (Position of Lens) CS~_>bn  
        '************************************************************************* -%@ah:iJ  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) o +7)cI  
        GetCustomElement eID, entity y^ |u'XK  
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        parID = FindFullName( "Geometry.Arizona Eye" ) 6dV )pJd  
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        ' Delete any shift(s) in z _OyQ:>M6P  
        count = 0 8-Y*b89  
        While GetOperationCount(eID)>count U||GeEd  
            GetOperation eID, count, op Kk6=61}A  
            If op.Type="ShiftZ" Then &Jc atI  
                DeleteOperation eID,count ;RRw-|/Wm  
                count=count-1 gXJBb+P   
            End If V~ORb1  
            count=count+1 1 l"2 ~k  
        Wend hlB\Xt  
    b5LToy:  
        'Set new shift in 0o"aSCq8t  
        op.Type = "ShiftZ" KE@+I.x  
        op.val1 = taq N)G HQlgH  
        op.parent = parID ao"2kqa)r  
        AddOperation eID, op U/^#nU.,  
        Print "Set aqueous humor thickness = " & taq-0.55 rpK&OR/  
    ; Byt'S  
        '************************************************************************* tP7<WGHd/  
        'Radius and conic constant of anterior lens PPr Pj^%z=  
        '************************************************************************* #Uu,yHMv:;  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) L_RVHvA=M/  
        GetConic eID, entity, curv, conic bo/9k 4N3  
    J\Pb/9M/  
        SetConic eID, entity, 1/Rant, CCant {0Y6jk>I  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant Q_|}~4_+  
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        '************************************************************************* d#a/J.Z$A  
        'Radius and conic constant of posterior lens )q-NE)  
        '************************************************************************* XPO-u]<W  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) q.`< q  
        GetConic eID, entity, curv, conic ~TEn +  
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        SetConic eID, entity, 1/Rpost, CCpost |HD>m'e  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost 3HpqMz  
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        '************************************************************************* LhbdvJAk@  
        'Lens thickness (Position of posterior lens surface) Sv{n?BYq  
        '************************************************************************* J<QZ)<T,&  
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        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) 1 >j,v+  
    "u!gfG?oH  
        ' Delete any z-shift(s) Y~g{9 <!  
        count = 0 )|xu5.F  
        While GetOperationCount(eID)>count ,<t.Iz%  
            GetOperation eID, count, op z7bJV/f  
            If op.Type="ShiftZ" Then 9 A ?{}c  
                DeleteOperation eID,count Ne1Oz}  
                count=count-1 EGUlLqP6e  
            End If LJ/He[r|[  
            count=count+1 .i RKuBM/  
        Wend IDH~nMz  
    >] 'oN  
        'Set new z-shift r6Yd"~ n  
        op.Type = "ShiftZ" (4cdkL  
        op.val1 = tlens $lJcC |*  
        op.parent = parID )bOfs*S  
        AddOperation eID, op 9f( X7kt  
        Print "Set lens thickness = " & tlens [g/D<g5O  
    'Z4}O_5_  
        '************************************************************************* Wn(!6yid  
        'Lens index of refraction 5p[}<I{  
        '************************************************************************* z}!g2d  
        eID = FindMaterial( "Lens" ) V2Vr7v=Y"  
        GetModelMaterial eID, mat #XDgvX >  
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        mat.Nd = nlens +M0pmK!  
        SetModelMaterial eID, mat eut2x7Z(c  
        Print "Set lens index of refraction = " & nlens <#C,66k  
    PR.3EL  
        '************************************************************************* UPuoIfuqI  
        'Pupil diameter 3 }fOb  
        '************************************************************************* mZR3Hl$  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) fZo#:"{/K  
    (4+P7Z,Nc  
        'Adjust pupil diameter (trimming volume inner hole) XGx[Ny_A2  
    :snO*Zg  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" (SBhU:^h  
    nnv|GnQST  
        ' Adjust pupil location to just in front of the lens &W@2n&U.q  
        parID = FindFullName( "Geometry.Arizona Eye" ) {|?^@  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) .xsfq*3e5  
        count = 0 Jp=fLo 9  
        While GetOperationCount(eID)>count e?]5q ez  
            GetOperation eID, count, op *U[yeE].  
            If op.Type="ShiftZ" Then  rL{R=0  
                DeleteOperation eID,count t5-O-AI[b{  
                count=count-1 UY< PiP  
            End If k7CKl;Fck  
            count=count+1 F^u12R)  
        Wend |sZqqgZ-  
        op.Type = "ShiftZ" H$h#n~W~  
        op.val1 = taq-0.01 P1-eDHYw  
        op.parent = parID (I >Ch)'  
        AddOperation eID, op XIdh9)]^}  
    ,;`f* #  
        Print "Set pupil diameter = " & pupilDiam &zEQbHK6  
    =u<:'\_  
        'Update AZ Eye subassembly Description nq M7Is  
        eID = FindFullName( "Geometry.Arizona Eye" ) 3v8LzS3@  
        GetEntity eID, entity DzAZv/h76  
        entity.Description = "Accommodation = " & A & "D" ?_NKyiu95  
        SetEntity eID, entity dJ"M#X!Zu  
    v-{g  
        Update v-1}&K  
        Print "DONE!" BO[:=x`  
         $'J3 /C7  
    End Sub QKG3>lU  
    ;g|Vt}a&4  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: hYW9a`Ht/  
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    Accommodation = 4 Diopters 'C[tPP  
    Pupil Diameter = 4 mm ^m qEKy<  
    Set aqueous humor thickness = 2.81 oW3"J6,S  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 w' 7sh5  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 |b   
    Set lens thickness = 3.927 Pxlc RF  
    Set lens index of refraction = 1.42672 9bM\ (s/  
    Set pupil diameter = 4 VXeO}>2S  
    DONE! dHnCSOM<  
     
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