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    [分享]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: 2020-12-09
    简介 z>4 D~HX  
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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。 \ ,>_c  
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    模型 p/r~n'g$  
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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。 `5~7IPl3  
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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. n vm^k  
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    光源 +0VG[ c\8  
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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。 Tdg6kkJ  
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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。 ]Z _$'?f  
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    在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 /:U1!9.y  
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    图2. 字母F光源的设定方法光 8KFj<N>'  
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    图3. 字母F在视网膜上位置点列图
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    视网膜的散射 l1&5uwuF  
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    在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 NdZ)[f:2  
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    图4. 视网膜朗伯散射设定
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    注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 B$ui:R/ t  
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    图5. 视网膜重点采样规格设定
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    脚本 $57\u/(  
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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: 0{Bf9cH  
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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。 ,(P %z.P@  
    余下的脚本计算与屈光度有关的所有参数。 "=qv#mZ#9  
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    分析 q-YL]PgV  
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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。 >5.zk1&H  
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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 ! tGiTzzp  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. yxvjg\!&  
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    Dim entity As T_ENTITY ilv_D~|  
    Dim op As T_OPERATION 'j}g  
    Dim mat As T_MODELMATERIAL G]-%AO{K  
    Dim A As Double MI\]IQU  
    Dim pupilDiam As Double `gI~|A4  
    Dim eID As Long 9\AS@SH{^T  
    Dim parID As Long (xL :;  
    Dim count As Integer iT.|vr1HG  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double \ n_3Bwd~  
    Dim tlens As Double, nlens As Double jB!W2~Z  
    Dim curv As Double, conic As Double EL7T'zJ$  
    Dim ok As Long x6ahZ  
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    Sub Main 3p_b8K_bG  
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        '用户输入对话框 yX'IZk#_L  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 Z(HZB  
            TextBox 220,21,40,21,.TextBox1 'default: 0 q!&B6]  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 V9T 4 +  
            OKButton 40,91,90,21 Fj^AW v^/  
            CancelButton 190,91,90,21 gLD{1-v  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 Ff<)4`J  
            TextBox 220,49,40,21,.TextBox2 'default: 4 "y$ qrN-  
        End Dialog MqdB\OW&  
        Dim dlg As UserDialog xl8#=qmCD  
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        ok = Dialog (dlg) 1"O&40l  
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        If ok=0 Then    'cancel button was pressed Xhse~=qA  
            Print "Execution cancelled." >jMH#TZaX  
            End ]RD5Ex!K?  
        End If (@q3^)I4  
    >S'>!w  
        'Assign accommodation and pupil diameter & use defaults if field left empty 4.Z(:g  
        If dlg.TextBox1 = "" Then ~KRnr0  
            A = 0           'Default accommodation #ZlM?Q  
        Else :tLbFW[  
            A = CDbl(dlg.TextBox1) X`1p'JD  
        End If o,FUfO}F  
    gI{ =0  
        If dlg.TextBox2 = "" Then M"(6&M=?  
            pupilDiam = 4   'Default pupil diameter o?wt$j-  
        Else B\[-fq  
            pupilDiam = CDbl(dlg.TextBox2) 5 `=KyHi:b  
        End If Ek ZjO Ci  
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        Print " " 3ji:O T  
        Print "Accommodation = " & A & " Diopters" x: ~d@  
        Print "Pupil Diameter = " & pupilDiam & " mm" H&bh<KPMh  
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        ' Calculate new parameters with accommodation h0Jl_f#Y  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness a#y{pT2 b  
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        Rant = 12.0 - 0.4*A                     'Radius of anterior lens X NE+(Bt  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens E >}q2  
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        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens 1lcnRHO  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens kA^A mfba  
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        tlens = 3.767 + 0.04*A                  'Lens thickness ug#<LO-.Rd  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction cPuHLwwYf  
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        'Adjust parameters to account for accommodation yM ,VrUh  
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        '************************************************************************* FT.@1/)  
        'Aqueous thickness (Position of Lens) Pp*}R2  
        '************************************************************************* M#a&\cqC  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) yX! #a>d"H  
        GetCustomElement eID, entity ezZph"&  
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        parID = FindFullName( "Geometry.Arizona Eye" ) rk,p!}FqL  
    9":2"<'+  
        ' Delete any shift(s) in z O2v.  
        count = 0 h|p[OecG  
        While GetOperationCount(eID)>count FkB{ SC J  
            GetOperation eID, count, op GwQn;gkF  
            If op.Type="ShiftZ" Then GMm'of#  
                DeleteOperation eID,count dJl^ADX[@  
                count=count-1 gs`> C(  
            End If *]x_,:R6Ow  
            count=count+1 }q'WC4.  
        Wend f&yQhe6q  
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        'Set new shift in ?/d!R]3  
        op.Type = "ShiftZ" D1Yh,P<CF\  
        op.val1 = taq N E= w6  
        op.parent = parID ' msmXX@q  
        AddOperation eID, op lLCdmxbT  
        Print "Set aqueous humor thickness = " & taq-0.55 `o si"o9  
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        '************************************************************************* ~E*d G  
        'Radius and conic constant of anterior lens &p"(-  
        '************************************************************************* I7mG/  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) xo WT*f  
        GetConic eID, entity, curv, conic (F8AL6  
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        SetConic eID, entity, 1/Rant, CCant NHkL24ve  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant XnXb&@Y  
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        '************************************************************************* Y8ehmz|g]J  
        'Radius and conic constant of posterior lens p4> ,Fwy2  
        '************************************************************************* #J$qa Ul  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) AyTx'u  
        GetConic eID, entity, curv, conic (~()RkT  
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        SetConic eID, entity, 1/Rpost, CCpost \FifzKA  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost Jps .;yjk  
    }.{}A(^YR  
        '************************************************************************* :'*DMW~  
        'Lens thickness (Position of posterior lens surface) Np)aS[9W  
        '************************************************************************* Coa-8j*R7  
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        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) l`gTU?<xd  
    5I,$EGG  
        ' Delete any z-shift(s) ;[6&0! N\  
        count = 0 vv/J 5#^,\  
        While GetOperationCount(eID)>count ^l!L)iw  
            GetOperation eID, count, op \0AiCMX[  
            If op.Type="ShiftZ" Then P(h5=0`*PR  
                DeleteOperation eID,count G|9B )`S  
                count=count-1 a$}mWPp+f  
            End If _P 5P(^/  
            count=count+1 2k1aX~?  
        Wend FA$zZs10\  
    !R:y'Y%j  
        'Set new z-shift tWD|qg_  
        op.Type = "ShiftZ" g%\L&}Jd  
        op.val1 = tlens #Lka+l;L7  
        op.parent = parID yFM>T\@  
        AddOperation eID, op km\%BD~  
        Print "Set lens thickness = " & tlens G6O/(8  
    #":a6%0Q  
        '************************************************************************* [Ox(.  
        'Lens index of refraction K.DXJ UR  
        '************************************************************************* 77We;a  
        eID = FindMaterial( "Lens" ) -M61 Mw1  
        GetModelMaterial eID, mat s AE9<(g&@  
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        mat.Nd = nlens 3] 76fF\^[  
        SetModelMaterial eID, mat H(qm>h$bU  
        Print "Set lens index of refraction = " & nlens <qY5SV,  
    QN G&  
        '************************************************************************* 6Rz[?-mkLO  
        'Pupil diameter e4.&aIC[  
        '************************************************************************* ;$!I&<)  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) JTUNb'#RZ  
    y1,5$0@G  
        'Adjust pupil diameter (trimming volume inner hole) QIAR  
    eXzXd*$S  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" ;KcFy@ 6q5  
    8(A{;9^g  
        ' Adjust pupil location to just in front of the lens rn" pKUd  
        parID = FindFullName( "Geometry.Arizona Eye" ) o'Y#H r)/  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) v0 ];W|  
        count = 0 a [C&e,)}  
        While GetOperationCount(eID)>count J{ ~Rxa  
            GetOperation eID, count, op r_2b tpL^  
            If op.Type="ShiftZ" Then -g~~]K%  
                DeleteOperation eID,count 6P+DnS[]  
                count=count-1 `&g:d E(j  
            End If A3s57.Z]|  
            count=count+1 l)8sw=  
        Wend gaeOgP.0  
        op.Type = "ShiftZ" -e*BqH2t  
        op.val1 = taq-0.01 Yx1 D)  
        op.parent = parID g42T#p8^  
        AddOperation eID, op _4R,Ej}  
    zilaP)5x6  
        Print "Set pupil diameter = " & pupilDiam ~3=2=Uf  
    v~5<:0dL  
        'Update AZ Eye subassembly Description yXF|Sqv  
        eID = FindFullName( "Geometry.Arizona Eye" ) p\S8oHWe  
        GetEntity eID, entity 0Hcbkep9D  
        entity.Description = "Accommodation = " & A & "D" <]Y[XI(kr  
        SetEntity eID, entity KXe ka  
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        Update k18$JyaG  
        Print "DONE!" 'F5)ACA%  
         @ER1zKK?  
    End Sub Jz$ >k$!UD  
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    如果屈光度是4,光瞳直径是4,则会输出如下数据: Ae3,^  
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    Accommodation = 4 Diopters ]u=Ca#!'  
    Pupil Diameter = 4 mm dS$ji#+d$  
    Set aqueous humor thickness = 2.81 ./.=Rw  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 3;y_mg  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 g1qi\axm  
    Set lens thickness = 3.927 Dh`=ydI5  
    Set lens index of refraction = 1.42672 xF8 :^'  
    Set pupil diameter = 4 *V|zx#RN  
    DONE! BXA]9eK  
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    QQ:2987619807 ^s*\Qw{Ii  
     
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