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    [转载]FRED运用: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: 2016-02-24
    简介 }.O2xZ;}]'  
    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。 !L+*.k:  
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    模型 Pm6/sO  
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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。 T&I*8 R~  
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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. Jeyy Z=  
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    光源 `(<XdlOj  
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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。 LZV  
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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。 W\o(f W  
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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。 $$2\qN -  
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    图2. 字母F光源的设定方法光 Q2iS0#  
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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 B5aFt ;Vj  
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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。 l2U"4d!o  
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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。 &!vJ3:  
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    图5. 视网膜重点采样规格设定
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    脚本 |S|0'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: 1+v&SU  
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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。 i)g=Lew  
    余下的脚本计算与屈光度有关的所有参数。 >_(Xb %w  
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    分析 r4k =i4  
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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。 \:]Clvc  
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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 rlmzbIu I9  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. k{(R.gLZG  
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    Dim entity As T_ENTITY )4>M<BO  
    Dim op As T_OPERATION (wU<Kpt?J  
    Dim mat As T_MODELMATERIAL sxIvL7jl  
    Dim A As Double RiqYC3Ka  
    Dim pupilDiam As Double :#1{c^i%3  
    Dim eID As Long %bgjJ`  
    Dim parID As Long m.e+S,i  
    Dim count As Integer a7s+l=  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double x7)j?2  
    Dim tlens As Double, nlens As Double 'd4I/  
    Dim curv As Double, conic As Double htX;"R&  
    Dim ok As Long 6z=h0,Y}  
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    Sub Main ggtGecKm  
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        '用户输入对话框 V TQ V]>|  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 {I0b%>r=  
            TextBox 220,21,40,21,.TextBox1 'default: 0 8+K=3=05#U  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 ~sT/t1Rp  
            OKButton 40,91,90,21 Jn3cU  
            CancelButton 190,91,90,21 'NHtCs=F   
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 g"aWt% P  
            TextBox 220,49,40,21,.TextBox2 'default: 4 <qjNX-|  
        End Dialog jA_w OR7$  
        Dim dlg As UserDialog JoeU J3N  
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        ok = Dialog (dlg) s\i:;`l:=5  
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        If ok=0 Then    'cancel button was pressed "&;8U.  
            Print "Execution cancelled." I,;@\  
            End )@+lfIE(l  
        End If 4.il4Qqy}i  
    "~-H]9  
        'Assign accommodation and pupil diameter & use defaults if field left empty ?}|l )  
        If dlg.TextBox1 = "" Then h!.#r*vV  
            A = 0           'Default accommodation kHLpa/A  
        Else ,p2BB"^_i  
            A = CDbl(dlg.TextBox1) !lxs1!:  
        End If 8axz`2`  
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        If dlg.TextBox2 = "" Then o zg%-  
            pupilDiam = 4   'Default pupil diameter 0kC}qru'  
        Else Mx? ]7tI  
            pupilDiam = CDbl(dlg.TextBox2) xS.Rpx/8  
        End If l{q$[/J~)  
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        Print " " %B9iby8)1  
        Print "Accommodation = " & A & " Diopters" :sO^b*e /  
        Print "Pupil Diameter = " & pupilDiam & " mm" }xhat,9  
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        ' Calculate new parameters with accommodation E.~;  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness 0zH^yx:ma  
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        Rant = 12.0 - 0.4*A                     'Radius of anterior lens w&&uk[Gh/a  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens w1Ar[ P  
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        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens CbPCj.MH  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens ]MI> "hn  
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        tlens = 3.767 + 0.04*A                  'Lens thickness jvfVB'Tmr  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction Mou@G3  
    Q I!c=:u  
        'Adjust parameters to account for accommodation -^A=U7  
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        '************************************************************************* F\pw0^K;N  
        'Aqueous thickness (Position of Lens) }mGOEG|F2  
        '************************************************************************* 9{OH%bF  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) r]!<iw  
        GetCustomElement eID, entity O[nl#$w  
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        parID = FindFullName( "Geometry.Arizona Eye" ) mX@Un9k  
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        ' Delete any shift(s) in z e[`E-br^  
        count = 0 <9za!.(zu  
        While GetOperationCount(eID)>count  ]J= S\  
            GetOperation eID, count, op M :m-iX  
            If op.Type="ShiftZ" Then $`nKq4Y   
                DeleteOperation eID,count sOyWsXd+R'  
                count=count-1 8 I'1~d%$  
            End If |. bp  
            count=count+1 d<*4)MRN  
        Wend .3;bUJ1  
    GPqF>   
        'Set new shift in R=D\VIu,Z  
        op.Type = "ShiftZ" 3J\NkaSR  
        op.val1 = taq ]mU,y$IQ  
        op.parent = parID >.R6\>N%  
        AddOperation eID, op xx}R6VKU.  
        Print "Set aqueous humor thickness = " & taq-0.55 id^U%4J  
    Y`FGD25`  
        '************************************************************************* Q@3.0Hf|{  
        'Radius and conic constant of anterior lens K;2]c3T  
        '************************************************************************* pv;c<NQ'1  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) Q37VhScs  
        GetConic eID, entity, curv, conic >40B Fxc  
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        SetConic eID, entity, 1/Rant, CCant \!UNa le  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant $s2-O!P?  
    (xU+Y1*g"%  
        '************************************************************************* 7R\!'`]\M  
        'Radius and conic constant of posterior lens Xco$ yF%  
        '************************************************************************* uCK!lq-  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) ujcS>XN,1  
        GetConic eID, entity, curv, conic 5H6GZ:hp  
    `R@24 )  
        SetConic eID, entity, 1/Rpost, CCpost +n(H"I7cU  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost ;WIL?[;w  
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        '************************************************************************* D#%J||  
        'Lens thickness (Position of posterior lens surface) A!v-[AI[  
        '************************************************************************* < %Qw dEO  
    ` n{rzenPX  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) wAHb 5>!  
    VmQ7M4j*  
        ' Delete any z-shift(s) *8p\.za1  
        count = 0 PF.sM(  
        While GetOperationCount(eID)>count u)P$xkf  
            GetOperation eID, count, op :C42yQAP  
            If op.Type="ShiftZ" Then [BhpfZNKRA  
                DeleteOperation eID,count Y6A]dk  
                count=count-1 @"9y\1u  
            End If Fm}O,=  
            count=count+1 ^&uWAQohL  
        Wend o,) p*glO  
    ZLvw]N&R  
        'Set new z-shift +ZXGT  
        op.Type = "ShiftZ" 6\86E$f=h  
        op.val1 = tlens 6,G^iv6H  
        op.parent = parID ,Ucb)8a  
        AddOperation eID, op "!)8bTW  
        Print "Set lens thickness = " & tlens eEsEW<su  
    HkvCQH  
        '************************************************************************* :kZ2N67  
        'Lens index of refraction V`69%35*@  
        '************************************************************************* Ao96[2U6  
        eID = FindMaterial( "Lens" ) 6@2p@eYo  
        GetModelMaterial eID, mat ]CC= \ <  
    :yT~.AK}>1  
        mat.Nd = nlens u\qyh9s  
        SetModelMaterial eID, mat S=aXmz<  
        Print "Set lens index of refraction = " & nlens {yyg=AMz  
    =mqV&FgRo  
        '************************************************************************* Lu:!vTRmw  
        'Pupil diameter Cw{#(xX  
        '************************************************************************* 54F([w  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) 4BEVG&Ks  
    @YwaOc_%  
        'Adjust pupil diameter (trimming volume inner hole) lRt8{GFy  
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        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" 6lT'%ho}B  
    d c&Qi_W  
        ' Adjust pupil location to just in front of the lens `ss]\46>  
        parID = FindFullName( "Geometry.Arizona Eye" ) 6%S>~L66  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) LR)is  
        count = 0 y6*i/3  
        While GetOperationCount(eID)>count 66L*6O4  
            GetOperation eID, count, op {bETHPCf  
            If op.Type="ShiftZ" Then q/OraPAB  
                DeleteOperation eID,count r~s03g0  
                count=count-1 3C,e>zE}  
            End If OD1ns  
            count=count+1 1}jE?{V*  
        Wend ^|sxbP  
        op.Type = "ShiftZ" dN*<dz+4r  
        op.val1 = taq-0.01 2:DpnLU5  
        op.parent = parID M2xUs  
        AddOperation eID, op T[Gz  
    E"G. _<3J8  
        Print "Set pupil diameter = " & pupilDiam {iQ<`,)Y  
    _)Qt,$  
        'Update AZ Eye subassembly Description 0>e>G(4(8  
        eID = FindFullName( "Geometry.Arizona Eye" ) %!.rP  
        GetEntity eID, entity V GvOwd)E  
        entity.Description = "Accommodation = " & A & "D" S?3{G@!  
        SetEntity eID, entity a|s=d  
    |u}sX5/q  
        Update =kc{Q@Dk  
        Print "DONE!" Gc 8  
         y mE`V  
    End Sub rLKDeB  
    e1/|PgT(KM  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: wUV%NZB  
    &0C!P=-p  
    Accommodation = 4 Diopters / 9;Pbxn  
    Pupil Diameter = 4 mm {W4t]Ff  
    Set aqueous humor thickness = 2.81 7I44BC*R~  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 YJL=|v  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 l|up3A3)  
    Set lens thickness = 3.927 pF !vW  
    Set lens index of refraction = 1.42672 aEM#V  
    Set pupil diameter = 4 cXCczqabv  
    DONE! RI*%\~6t?  
    ut,"[+ J  
    (文章来源:讯技光电)
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