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    [转载]FRED运用:Arizona眼睛模型 [复制链接]

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    离线xunjigd
     
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    只看楼主 倒序阅读 楼主  发表于: 2016-02-24
    简介 O<f_-n@G|  
    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。 ci5ERv`  
    u 8U>R=M  
    模型 hr@KWE`  
    >?M:oUVDU  
    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。 -N5r[*>  
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    Table 1. AZ眼睛模型的定义
    abD55YJY  
    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. bm%2K@ /U  
    uVDB; 6  
    光源 (5-"5<-@R  
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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。 *v:+A E  
    oX3Q9)  
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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。 Ca+d ?IS  
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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。 VbBZ\`b  
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    图2. 字母F光源的设定方法光 ?xK9  
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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 N Ja]UZx  
    'ycs{}'  
    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。 "TtK!>!.  
    /J{P8=x}_:  
    1P8$z:|~  
    图4. 视网膜朗伯散射设定
    X~GZI*P  
    注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 yKZ~ ^  
    O|7q,bEm^  
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    图5. 视网膜重点采样规格设定
    'r1&zw(  
    脚本 Vl^jTX5N  
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    内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: %PlPXoG=  
    .RJvu$U2j  
    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。 e yTYg  
    余下的脚本计算与屈光度有关的所有参数。 XFK$p^qu  
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    分析 Dvd.Q/f  
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    屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 lt,x(2  
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    图7. 字母F在视网膜上颜色分析
    /8W}o/,s5  
    脚本代码 _?q\tyf3  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. %*}JDx#@  
    Fdc bmQ  
    Dim entity As T_ENTITY Zpu>T2Tp  
    Dim op As T_OPERATION VJ_E]}H  
    Dim mat As T_MODELMATERIAL Qt>yRt  
    Dim A As Double puXJ:yo(  
    Dim pupilDiam As Double 2vj)3%:7#E  
    Dim eID As Long 8{?Oi'-|0  
    Dim parID As Long %HYC-TF#  
    Dim count As Integer 8(Z*Vz uu  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double P7u5Ykc*  
    Dim tlens As Double, nlens As Double hC6$>tl  
    Dim curv As Double, conic As Double LgUaX  
    Dim ok As Long +hXph  
    [FyE{NfiJ%  
    Sub Main #+Vvf  
    #XJYkaL  
        '用户输入对话框 /-BplU*"9  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 |&RdOjw$u  
            TextBox 220,21,40,21,.TextBox1 'default: 0 {Qw,L;R  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 (x.K%QC)  
            OKButton 40,91,90,21 NO* 1km[#  
            CancelButton 190,91,90,21 Lk3@E u)  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 /}M@ @W  
            TextBox 220,49,40,21,.TextBox2 'default: 4 P?TFX.p7  
        End Dialog sF|<m)Kt{W  
        Dim dlg As UserDialog Iupk+x>  
    I9>1WT<Yy  
        ok = Dialog (dlg) .`)ICX  
    ,HMB`vF  
        If ok=0 Then    'cancel button was pressed <7TpC@"/g  
            Print "Execution cancelled." M5%u>$2  
            End :_Ng`b/  
        End If { Ja#pt  
    7qzI]  
        'Assign accommodation and pupil diameter & use defaults if field left empty p( Qm\g<  
        If dlg.TextBox1 = "" Then )*s.AFu]7x  
            A = 0           'Default accommodation @.CPZT  
        Else 37lmB '~  
            A = CDbl(dlg.TextBox1) u[d8)+VX  
        End If C'5i>;  
    $,h*xb.  
        If dlg.TextBox2 = "" Then Ah)7A|0rT  
            pupilDiam = 4   'Default pupil diameter {SROg;vA  
        Else i 3?zYaT  
            pupilDiam = CDbl(dlg.TextBox2) 0Y!Bb2 m  
        End If <[a9"G 7  
    >Y{.)QS  
        Print " " urog.Q  
        Print "Accommodation = " & A & " Diopters" -{L[Wt{1  
        Print "Pupil Diameter = " & pupilDiam & " mm" $f C=v  
    *AxKV5[H  
        ' Calculate new parameters with accommodation },[j+wx  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness XM8C{I1  
    y4shW|>5_  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens %C)U F  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens }A2@1TTPX  
    &:{| nDT_2  
        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens Iqo4INGIi  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens t3bDi/m  
    ^(&:=r.PC  
        tlens = 3.767 + 0.04*A                  'Lens thickness S)Ld^0w  
    V?5_J%  
        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction M}@^8  
    tnKzg21%  
        'Adjust parameters to account for accommodation UGR5ILf  
    yil{RfBEr_  
        '************************************************************************* Jnv91*>h8  
        'Aqueous thickness (Position of Lens) TXy*-<#vR  
        '************************************************************************* Vw)\#6FL  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) n}?kQOg0/  
        GetCustomElement eID, entity |4-Ey! P  
    KQr=;O\T  
        parID = FindFullName( "Geometry.Arizona Eye" ) _G'.VSGH  
    LW,!B.`@  
        ' Delete any shift(s) in z 1S_ KX.  
        count = 0 ^s24f?3  
        While GetOperationCount(eID)>count WddU|-W  
            GetOperation eID, count, op 0>.'w\,87B  
            If op.Type="ShiftZ" Then o*dhks[  
                DeleteOperation eID,count Hj2P|;2S  
                count=count-1 9$d (`-&9p  
            End If cJH7zumM)  
            count=count+1 Z/ThY bk  
        Wend ew"[]eZ:ut  
    LU%g>?m.]  
        'Set new shift in VY![VnHsB  
        op.Type = "ShiftZ" flmcY7ZV  
        op.val1 = taq 1uD}V7_y"  
        op.parent = parID s'5 jvlG  
        AddOperation eID, op $]%k <|X  
        Print "Set aqueous humor thickness = " & taq-0.55 Kk??}  
    rfCoi>{<  
        '************************************************************************* Dcp,9"yt%  
        'Radius and conic constant of anterior lens 4NbC V)Dm  
        '************************************************************************* r9u*c  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) x&8?/BR  
        GetConic eID, entity, curv, conic U(i2j)|^I3  
    U;{VL!  
        SetConic eID, entity, 1/Rant, CCant  T>LtN  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant Xv'64Nc!;  
    qP]Gl--q{  
        '************************************************************************* tU?lfU[7  
        'Radius and conic constant of posterior lens 3EzI~Zsx  
        '************************************************************************* =8<SKY&\X  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) 47t^{WrT  
        GetConic eID, entity, curv, conic ql_aDo j  
    3 #jPQ[+  
        SetConic eID, entity, 1/Rpost, CCpost [ 9$>N  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost XFM6.ye  
    %=NqxF>>  
        '************************************************************************* sg9ZYWcL  
        'Lens thickness (Position of posterior lens surface) p%,JWZ[  
        '************************************************************************* O0~[]3Y[=  
    i@d!g"tot  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) zzPgLE55  
    g:OVAA  
        ' Delete any z-shift(s) BeplS  
        count = 0 `cVG_= 2  
        While GetOperationCount(eID)>count v|n.AGn  
            GetOperation eID, count, op GL (YC-{  
            If op.Type="ShiftZ" Then WRD^S:`BH  
                DeleteOperation eID,count D4 e)v%  
                count=count-1 BDcl1f T  
            End If (+T|B E3*#  
            count=count+1 TNiF l hq  
        Wend ^8We}bs-c  
    b/<n:*$   
        'Set new z-shift GKm)wOb(*S  
        op.Type = "ShiftZ" m#8mU,7  
        op.val1 = tlens @0t,vye  
        op.parent = parID !QC->  
        AddOperation eID, op S* <: He&1  
        Print "Set lens thickness = " & tlens K4oLb"gB1  
    <tFq6|  
        '************************************************************************* t'7)aJMP  
        'Lens index of refraction |%TH|?kB  
        '************************************************************************* CQ13fu +|6  
        eID = FindMaterial( "Lens" ) 3D%I=p(  
        GetModelMaterial eID, mat  +/AW6  
    1uS _]59=  
        mat.Nd = nlens "y5c)l(Rg  
        SetModelMaterial eID, mat Soq 'B?>  
        Print "Set lens index of refraction = " & nlens \}G/F!  
    B;_M52-B  
        '************************************************************************* B&<Z#C:I  
        'Pupil diameter My=p>{s  
        '************************************************************************* 8Gs{Zfp!D  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) ? NVN&zD]  
    n802!d+Tn  
        'Adjust pupil diameter (trimming volume inner hole) r=s2wjk  
    .}]5y4UQ.  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" OSsdB%bIu`  
    uvZ|6cM  
        ' Adjust pupil location to just in front of the lens kjjO<x?&*  
        parID = FindFullName( "Geometry.Arizona Eye" ) VxaJ[s3PQ&  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) Pm V:J9  
        count = 0 z q(AN<  
        While GetOperationCount(eID)>count +d Ig&}Tr  
            GetOperation eID, count, op C\ 9eR  
            If op.Type="ShiftZ" Then H?^Poe(=(  
                DeleteOperation eID,count %0=|WnF-  
                count=count-1 c1!h;(&  
            End If -pyTzC$HO  
            count=count+1 ={8ClUV#  
        Wend Smg,1,=  
        op.Type = "ShiftZ" \%rX~UhZ=  
        op.val1 = taq-0.01 lHr?sMt  
        op.parent = parID c00a;=ji  
        AddOperation eID, op 0FHN  
    o{nBtxZ"  
        Print "Set pupil diameter = " & pupilDiam lYD-U8  
    -bcm"(<T'  
        'Update AZ Eye subassembly Description 57rc|]C  
        eID = FindFullName( "Geometry.Arizona Eye" ) ,in`JM<o  
        GetEntity eID, entity $)z(4Ev  
        entity.Description = "Accommodation = " & A & "D" *|ubH?71%Y  
        SetEntity eID, entity ~B|K]&/]  
    ,Q2`N{f  
        Update dk-Y!RfNx  
        Print "DONE!" 8^^Xr  
         FL"7u2rh,  
    End Sub {N/(lB8  
    U $e-e/  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: jt=mK ,%  
    `A3"*,|z  
    Accommodation = 4 Diopters -h8A<  
    Pupil Diameter = 4 mm XwE(&ZCf'b  
    Set aqueous humor thickness = 2.81 Pr<.ld\  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 S 0,p:Wey  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 $hn #T#J3  
    Set lens thickness = 3.927 Ryr2  
    Set lens index of refraction = 1.42672 VuPa '2  
    Set pupil diameter = 4 YN.rj-;^+  
    DONE! [f&ja[m q  
    0,E*9y}  
    (文章来源:讯技光电)
     
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