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    [技术]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: 2021-10-22
    简介 fhC=MJ @  
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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。 2]7nw1&  
    kqy Y:J  
    模型 CV`  I.  
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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。 q3;HfZ  
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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. # OJD<=")  
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    光源 / og'W j  
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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。 +pE-Yn`YS  
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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。 E)`+1j  
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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。 I|p(8 R!  
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    图2. 字母F光源的设定方法光 $idYG<],  
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    图3. 字母F在视网膜上位置点列图
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    视网膜的散射 HK}C<gg  
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    在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 _xbVAI4  
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    图4. 视网膜朗伯散射设定
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    注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 E")82I  
    .~Td /o7  
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    图5. 视网膜重点采样规格设定
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    脚本 b,I$.&BD  
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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: GUMO;rZs  
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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。 0kmZO"K#e  
    余下的脚本计算与屈光度有关的所有参数。 CY9`ztO*  
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    分析 G !wFG-Y}  
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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。 40mgB4I  
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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 yw2sK7  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. W* N^Gp@  
     z7>  
    Dim entity As T_ENTITY .]P@{T||Y  
    Dim op As T_OPERATION o AvX(  
    Dim mat As T_MODELMATERIAL HPT$)NeNc  
    Dim A As Double V D-,)f  
    Dim pupilDiam As Double -FdhV%5]  
    Dim eID As Long 8eQ 4[wJY  
    Dim parID As Long tKu'Q;J  
    Dim count As Integer Y=\;$:L[  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double !5&% P b  
    Dim tlens As Double, nlens As Double h9$Ov`N(%  
    Dim curv As Double, conic As Double $fL2w^ @  
    Dim ok As Long Qn6'E  
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    Sub Main qE!.C}L +  
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        '用户输入对话框 ~}PB&`%7  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 \= =rdW-  
            TextBox 220,21,40,21,.TextBox1 'default: 0 tWT@%(2~0  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 -ich N/U]s  
            OKButton 40,91,90,21 CWHTDao  
            CancelButton 190,91,90,21 r< sx On  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 )w=ehjV^m  
            TextBox 220,49,40,21,.TextBox2 'default: 4 1>|2B&_^  
        End Dialog 09HlL=0q  
        Dim dlg As UserDialog J{` G=  
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        ok = Dialog (dlg) $GB/}$fd&  
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        If ok=0 Then    'cancel button was pressed \c(R#*0,  
            Print "Execution cancelled." +O8rjVg)  
            End T5$db-^  
        End If Y`.FSs  
    Xz4T_-X8d  
        'Assign accommodation and pupil diameter & use defaults if field left empty HN?NY  
        If dlg.TextBox1 = "" Then t4X:I&l-M:  
            A = 0           'Default accommodation -C1,$mkj  
        Else j]~;|V5Z  
            A = CDbl(dlg.TextBox1) INt]OPD  
        End If W"MwpV  
    gE;r;#Jt4  
        If dlg.TextBox2 = "" Then `v) :|Q  
            pupilDiam = 4   'Default pupil diameter }]VFLBl`w  
        Else FX}kH]  
            pupilDiam = CDbl(dlg.TextBox2) LpN_s#  
        End If ROqz$yY  
    ,aq0Q<}~lc  
        Print " " jJc:%h$|2  
        Print "Accommodation = " & A & " Diopters" )i|0Ubn[|  
        Print "Pupil Diameter = " & pupilDiam & " mm" aGSix}b1P  
    X2\1OWR0  
        ' Calculate new parameters with accommodation m?*}yM  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness kn9ul3c  
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        Rant = 12.0 - 0.4*A                     'Radius of anterior lens =cz^g^7  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens ;=r_R!d@  
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        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens #s% _ L  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens Fp=O:]  
    0Ez(;4]3  
        tlens = 3.767 + 0.04*A                  'Lens thickness ZMa@/\pf1  
    ;xqN#mqq  
        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction (t[sSl  
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        'Adjust parameters to account for accommodation Es]:-TR  
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        '************************************************************************* ;[) O{%s  
        'Aqueous thickness (Position of Lens) b}<?& @  
        '************************************************************************* !DU4iq_.  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) skeH~-`M@  
        GetCustomElement eID, entity n[+$a)$8  
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        parID = FindFullName( "Geometry.Arizona Eye" ) V$o]}|  
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        ' Delete any shift(s) in z %7}ibz4iF  
        count = 0 6~b)Hc/  
        While GetOperationCount(eID)>count -HQ(t  
            GetOperation eID, count, op C"7-lz  
            If op.Type="ShiftZ" Then L*(Sh2=_  
                DeleteOperation eID,count Te d1Ky2O  
                count=count-1 ^]n:/kZ5"[  
            End If u7(<YSOs  
            count=count+1 CNMcQP  
        Wend -_[ZRf?^  
    ^ jYE4gHM  
        'Set new shift in i(O+XQ}Fyx  
        op.Type = "ShiftZ" |&u4Q /0  
        op.val1 = taq @h=r;N#/`P  
        op.parent = parID ,azBk`$iQr  
        AddOperation eID, op vCX 54  
        Print "Set aqueous humor thickness = " & taq-0.55 5.M82rR; ~  
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        '************************************************************************* jCp^CNbA  
        'Radius and conic constant of anterior lens BG/Q7s-?K  
        '************************************************************************* .(g"(fgF  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) %n B}Hq ;  
        GetConic eID, entity, curv, conic P1G;JK  
    &iI5^b-P  
        SetConic eID, entity, 1/Rant, CCant )=TS)C4  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant *e,GXU@  
    O_ 4 j"0  
        '************************************************************************* /0 2-0mNv  
        'Radius and conic constant of posterior lens .dPy<6E  
        '************************************************************************* Q ym=L(X  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) T|^KG<uPV!  
        GetConic eID, entity, curv, conic X+KQ%Efo  
    q=x1:^rVH  
        SetConic eID, entity, 1/Rpost, CCpost 2A&Y})D  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost #Y<QEGb(  
    B`w@Xk'D  
        '************************************************************************* lvp8{]I<  
        'Lens thickness (Position of posterior lens surface) ;&9wG`  
        '************************************************************************* @:w[(K[^b/  
    ]@A31P4t|  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) *f-8egt-  
    68QA%m'J  
        ' Delete any z-shift(s) _Gtq]`y  
        count = 0 {?uG] G7  
        While GetOperationCount(eID)>count `xsU'Wd^<  
            GetOperation eID, count, op |2!cPf^8  
            If op.Type="ShiftZ" Then |R3A$r#-  
                DeleteOperation eID,count } m&La4E  
                count=count-1 >A.m`w  
            End If I* 4g ;1x  
            count=count+1 ? t_$C,A+  
        Wend pxV@fH+`  
    =z4kK_?F,  
        'Set new z-shift ~]78R!HJ  
        op.Type = "ShiftZ" 9jf2b  
        op.val1 = tlens /SKgN{tWe  
        op.parent = parID wS;hC&~2  
        AddOperation eID, op ><w=  
        Print "Set lens thickness = " & tlens Evt&N)l!^  
    wvz_)b N~A  
        '************************************************************************* @QbTO'UzK`  
        'Lens index of refraction u(C?\HaH  
        '************************************************************************* JW9U&Bj{  
        eID = FindMaterial( "Lens" ) ;@s'JSPt  
        GetModelMaterial eID, mat d)'J:  
    l'FNp  
        mat.Nd = nlens 7q@>d(xho  
        SetModelMaterial eID, mat f0ME$:2  
        Print "Set lens index of refraction = " & nlens /2Qgg`^)  
    EL:Az~]V  
        '************************************************************************* h ngdeGa  
        'Pupil diameter %y[ t+)!E  
        '************************************************************************* f[+N=vr  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) {wCzm  
    \{{i:&] H  
        'Adjust pupil diameter (trimming volume inner hole) aP`V  
    CAtdx!  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" <?Y.w1  
    +^<-;/FZue  
        ' Adjust pupil location to just in front of the lens &k@r23V7r  
        parID = FindFullName( "Geometry.Arizona Eye" ) +&qj`hA-b  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) lQl  
        count = 0 Wer.VL  
        While GetOperationCount(eID)>count "2>_eZ#b  
            GetOperation eID, count, op W8Aii'Q8C/  
            If op.Type="ShiftZ" Then {N`<TH PP  
                DeleteOperation eID,count u 4$$0 `  
                count=count-1 qV7nF }V{  
            End If /5r!Fhx  
            count=count+1 HK4 *+  
        Wend ]`u_d}`  
        op.Type = "ShiftZ" U`)o$4Bq  
        op.val1 = taq-0.01 1%k$9[!l%  
        op.parent = parID gFAtIx4  
        AddOperation eID, op ~spfQV~  
    zMbz_22*  
        Print "Set pupil diameter = " & pupilDiam 'bx$}w N  
    G !;<#|a  
        'Update AZ Eye subassembly Description |^T?5=&Kt  
        eID = FindFullName( "Geometry.Arizona Eye" ) f) @-X!  
        GetEntity eID, entity !F[^?:pK  
        entity.Description = "Accommodation = " & A & "D" KV]8o'  
        SetEntity eID, entity k \V6 q9*  
    IHStN,QD  
        Update _H)>U[  
        Print "DONE!" $|n#L6k  
         <ecif_a=m  
    End Sub 25 m!Bf  
    JVt(!%K}&  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: * v W#XDx  
    %2z] 2@  
    Accommodation = 4 Diopters :vRUb>z  
    Pupil Diameter = 4 mm 5@< D6>6  
    Set aqueous humor thickness = 2.81 VtzX I2.2  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 :8jaW?~  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 ~|.vz!A  
    Set lens thickness = 3.927 1Aw/-FxJ  
    Set lens index of refraction = 1.42672 VmTPE5d  
    Set pupil diameter = 4 PHv0^l]B  
    DONE! gbL!8Z1h  
     
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