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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 PR=:3-#R  
    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。 [pOQpfo\  
    RKsr}-1 8  
    模型 ]q DhGt  
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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。 h4x*C=?A  
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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. CZ*c["x2  
    _4iTP$7[  
    光源 bE _=L=NG  
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    多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 8munw  
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    图1. 光源和提示信息使用
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    除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 SovK|b &  
    @^oOXc,r$  
    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。 :9N~wd  
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    图2. 字母F光源的设定方法光 kRs(A~ngc  
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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 {"l_x]q  
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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。 %1fH-:c=C0  
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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。 ]Y Q[ )  
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    图5. 视网膜重点采样规格设定
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    脚本 v;" [1w}  
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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: =,&PD(.  
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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。 laN:H mR8  
    余下的脚本计算与屈光度有关的所有参数。 u5^fiw]C  
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    分析 mw)KyU#l,:  
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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。 S'qEBz  
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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 O_aZ\28};C  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. rLO1Sv  
    <RY5ZP  
    Dim entity As T_ENTITY /n;-f%dL  
    Dim op As T_OPERATION T X.YTU  
    Dim mat As T_MODELMATERIAL ?_q e 2R.  
    Dim A As Double X[b=25Ct  
    Dim pupilDiam As Double V8ka*VJ(B  
    Dim eID As Long j#d=V@=a  
    Dim parID As Long vcs=!Ace  
    Dim count As Integer GlYNC&,VL  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double ^6s<  
    Dim tlens As Double, nlens As Double 9,\b$?9  
    Dim curv As Double, conic As Double d:*,HzG  
    Dim ok As Long R=P=?U.  
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    Sub Main 5Z/xY &  
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        '用户输入对话框 4E]w4BG)  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 M72.  
            TextBox 220,21,40,21,.TextBox1 'default: 0 (hej 3;W  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 8P5yaS_  
            OKButton 40,91,90,21 c?B@XIl  
            CancelButton 190,91,90,21 "&*O7cs$pA  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 % LeG.~?  
            TextBox 220,49,40,21,.TextBox2 'default: 4 b,"gBg  
        End Dialog zu}oeAQc$  
        Dim dlg As UserDialog ! iuDmL  
    ]V*s-och'  
        ok = Dialog (dlg) mxk :P  
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        If ok=0 Then    'cancel button was pressed _7r<RZ  
            Print "Execution cancelled." 0o~? ]C  
            End Z18T<e  
        End If vw VeHjR  
    Vm}OrFA  
        'Assign accommodation and pupil diameter & use defaults if field left empty \'Oi0qo>  
        If dlg.TextBox1 = "" Then pEgQ) 9\  
            A = 0           'Default accommodation 21'I-j  
        Else 94 58.!3  
            A = CDbl(dlg.TextBox1) BM5+;h !  
        End If |O3wAxc3W  
    ! J`>;&  
        If dlg.TextBox2 = "" Then Hhx"47:  
            pupilDiam = 4   'Default pupil diameter ;hb;%<xqT  
        Else _b8&$\>  
            pupilDiam = CDbl(dlg.TextBox2) Ji4xor  
        End If 5{nERKaPf  
    xR;>n[6  
        Print " " JDPn   
        Print "Accommodation = " & A & " Diopters" EH{m~x[Ei  
        Print "Pupil Diameter = " & pupilDiam & " mm" BSt^QH-'  
    j"6r]nc&  
        ' Calculate new parameters with accommodation ybLl[K(D=  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness y#F`yXUj  
    lz2B,#  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens 4/UY*Us&  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens UhKC:<%  
    Y,BzBUWK  
        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens }ie  O  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens `-@8IZ7  
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        tlens = 3.767 + 0.04*A                  'Lens thickness {l$DNnS  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction XY %er  
    9e|-sn  
        'Adjust parameters to account for accommodation \Ps}1)wT  
    32h}+fd  
        '************************************************************************* *IBT!@*Q&  
        'Aqueous thickness (Position of Lens) 5cj]Y)I-~  
        '************************************************************************* @BQJKPF*  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) Mttt]]  
        GetCustomElement eID, entity `pr$l  
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        parID = FindFullName( "Geometry.Arizona Eye" ) e4:,W+g,9  
    (gW#T\Eln  
        ' Delete any shift(s) in z A|jmp~@K)+  
        count = 0 2to~=/.  
        While GetOperationCount(eID)>count =' %r"_`}  
            GetOperation eID, count, op ^`M,ju  
            If op.Type="ShiftZ" Then y04md A6<  
                DeleteOperation eID,count RcJ.=?I!  
                count=count-1 6/{V#.(  
            End If !O|d,)$q  
            count=count+1 J,N='~kfh  
        Wend QuFzj`(  
    VpmwN`  
        'Set new shift in z =m Dd  
        op.Type = "ShiftZ" w:[1,rRvT  
        op.val1 = taq B%y?+4;zA  
        op.parent = parID W5 l)mAv  
        AddOperation eID, op MU_8bK9m  
        Print "Set aqueous humor thickness = " & taq-0.55 2ed4xh V  
    DX3xWdnr  
        '************************************************************************* 2;8I0BH*'  
        'Radius and conic constant of anterior lens jnF-kia  
        '************************************************************************* m@(8-_  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) VtM:~|v  
        GetConic eID, entity, curv, conic j&6O 1  
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        SetConic eID, entity, 1/Rant, CCant p7SX,kpt>  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant ^7b[s pqE  
    Sr$&]R]^  
        '************************************************************************* SNLZU%jan  
        'Radius and conic constant of posterior lens qH 1k  
        '************************************************************************* Evjvaa^  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) Tt^PiaS!  
        GetConic eID, entity, curv, conic IZ9L ;"}  
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        SetConic eID, entity, 1/Rpost, CCpost W^(:\IvV  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost A=N &(k  
    8]G  
        '************************************************************************* #:q$sKQ_$  
        'Lens thickness (Position of posterior lens surface) <H; z4  
        '************************************************************************* _ aJo7  
    *U<l$gajq  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) ,Z3 (`ftC  
    ZnrsJ1f:  
        ' Delete any z-shift(s) %#AM }MWIa  
        count = 0 5Q/&,NP  
        While GetOperationCount(eID)>count 30BFwNE  
            GetOperation eID, count, op GbFtX\s+5j  
            If op.Type="ShiftZ" Then #\P\(+0K  
                DeleteOperation eID,count j<*  
                count=count-1 hq[:U?!Tt  
            End If @%FLT6MY  
            count=count+1 ,Wbr; zb  
        Wend NE~R&ym9  
    ^ <$$h  
        'Set new z-shift g$^:2MT"aQ  
        op.Type = "ShiftZ" ~8oti4  
        op.val1 = tlens h)NZG6R  
        op.parent = parID _ ^2\/@  
        AddOperation eID, op {fd/:B 7T  
        Print "Set lens thickness = " & tlens P0mY/bBU  
    cr wui8  
        '************************************************************************* ;#i$5L!*B  
        'Lens index of refraction tfAO#htq  
        '************************************************************************* q.}M^iDe  
        eID = FindMaterial( "Lens" ) 5%6{ ePh{  
        GetModelMaterial eID, mat sxK|0i}6  
    og?>Q i Tr  
        mat.Nd = nlens *ku}.n  
        SetModelMaterial eID, mat eb ` !  
        Print "Set lens index of refraction = " & nlens nO\c4#ce  
    <<SUIY@X  
        '************************************************************************* {0(:5%  
        'Pupil diameter `)aIFAW  
        '************************************************************************* xj!G9x<!  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) uY_vX\;67z  
    M+|J;caX  
        'Adjust pupil diameter (trimming volume inner hole) Nn/f*GDvK  
    yIq. m=  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" .#OD=wkN0  
    m)1+D"z  
        ' Adjust pupil location to just in front of the lens j@o \d%.'!  
        parID = FindFullName( "Geometry.Arizona Eye" ) @CB&*VoB  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) i"_@iN0N  
        count = 0 vyA `Z1  
        While GetOperationCount(eID)>count E2nsBP=5C  
            GetOperation eID, count, op + g*s%^(E  
            If op.Type="ShiftZ" Then 2=%R>&]*  
                DeleteOperation eID,count AY(z9 &;6  
                count=count-1 llE_-M2gH  
            End If 2?}5U)Hg  
            count=count+1 o0)k5P~<~  
        Wend v<AFcY   
        op.Type = "ShiftZ" ~u.( (GM  
        op.val1 = taq-0.01 6rll0c~  
        op.parent = parID lP;X=X>  
        AddOperation eID, op n5U-D0/Q  
    -Pt']07E  
        Print "Set pupil diameter = " & pupilDiam {/2 _"H3:  
    EpCT !e  
        'Update AZ Eye subassembly Description DkA@KS1Dq  
        eID = FindFullName( "Geometry.Arizona Eye" ) 1w$X;q"  
        GetEntity eID, entity -}G>{5.A  
        entity.Description = "Accommodation = " & A & "D" +M{A4nYY|1  
        SetEntity eID, entity 1 k\~%  
    g;eoH  
        Update R^f-j-$o]  
        Print "DONE!" [dIlt"2fV  
          KB5<)[bs  
    End Sub (X?et &  
    l\DcXgD x  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: Q13>z%Rge  
    [rO TWN  
    Accommodation = 4 Diopters U?e.)G  
    Pupil Diameter = 4 mm DlF6tcoI  
    Set aqueous humor thickness = 2.81 HxnWM\p  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 '\wZKY VN  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 ',l}$]y5  
    Set lens thickness = 3.927 &57s//PrX  
    Set lens index of refraction = 1.42672 k.6gX<T  
    Set pupil diameter = 4 +\s&v!  
    DONE! 2S@aG%-)  
    &fRZaq'2R  
    (文章来源:讯技光电)
     
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