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    [技术]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: 2021-10-22
    简介 97!5Q~I  
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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。 9L)L|4A.l  
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    模型 Y<LNQ]8\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。 .3wY\W8Dr-  
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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. ]\;xN~l  
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    光源 Y}.Ystem  
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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。 I/s.xk_i  
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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。 lrys3  
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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。 D ,M@8 h,  
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    图2. 字母F光源的设定方法光 ^:DyT@hQB5  
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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 }kPVtSQ  
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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。 ~A >o O-0K  
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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。 H;I~N*ltJ(  
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    图5. 视网膜重点采样规格设定
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    脚本 /77z\[CeYH  
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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: J}@GKNm  
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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。 {L9yhYw  
    余下的脚本计算与屈光度有关的所有参数。 (=JueF@J  
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    分析 `P.CNYR<J  
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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。 `C'}e  
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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 E5{n?e  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. 3*WS"bt  
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    Dim entity As T_ENTITY %dmfBf Ev  
    Dim op As T_OPERATION Yu3_=: <C  
    Dim mat As T_MODELMATERIAL `d*b]2  
    Dim A As Double e2Jp'93o'  
    Dim pupilDiam As Double 0QoLS|voA/  
    Dim eID As Long h7?.2Q&S  
    Dim parID As Long QymD-A"P  
    Dim count As Integer WQt5#m; W  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double :qnokrGzB  
    Dim tlens As Double, nlens As Double \!wh[qEQ\  
    Dim curv As Double, conic As Double Yy@g9mi  
    Dim ok As Long AgsR-"uh  
    A&l7d0Z^j5  
    Sub Main t w!.%_1^  
    ) `I=oB  
        '用户输入对话框 ,}<RrUfD  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 /*P7<5n0  
            TextBox 220,21,40,21,.TextBox1 'default: 0 qLRE}$P  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 b *9-}g:  
            OKButton 40,91,90,21 O+FBQiv  
            CancelButton 190,91,90,21 a: IwA9!L  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 b42QBTeg  
            TextBox 220,49,40,21,.TextBox2 'default: 4 RbAt3k;y  
        End Dialog  /q*KO\L  
        Dim dlg As UserDialog ][t 6VA  
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        ok = Dialog (dlg) .e$%[ )D  
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        If ok=0 Then    'cancel button was pressed @dV9Dpu  
            Print "Execution cancelled." V6+Zh>'S  
            End A^g>fv  
        End If " $=qGHA~  
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        'Assign accommodation and pupil diameter & use defaults if field left empty 6Ahr_{  
        If dlg.TextBox1 = "" Then ,s? dAy5  
            A = 0           'Default accommodation +2y&B,L_Wh  
        Else GZ"/k<~0  
            A = CDbl(dlg.TextBox1) @g\;` #l  
        End If p1^0{ILx  
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        If dlg.TextBox2 = "" Then raHVkE{<  
            pupilDiam = 4   'Default pupil diameter B^m!t7/,  
        Else r=0j7^B#  
            pupilDiam = CDbl(dlg.TextBox2) $rTu6(i1  
        End If 4k$0CbHx0  
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        Print " " >{F!ntEj  
        Print "Accommodation = " & A & " Diopters" l $w/Fz  
        Print "Pupil Diameter = " & pupilDiam & " mm" .qinR 6=  
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        ' Calculate new parameters with accommodation xp=Zd\5W$  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness >KHp-|0pv  
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        Rant = 12.0 - 0.4*A                     'Radius of anterior lens #%WCL'6B  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens g? I!OG  
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        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens U/5$%0)  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens f?5A"-NS  
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        tlens = 3.767 + 0.04*A                  'Lens thickness 7vq DZg  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction _<2 RYXBC  
    "5(W[$f*]v  
        'Adjust parameters to account for accommodation p2^)2v  
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        '************************************************************************* `fMpV8vv  
        'Aqueous thickness (Position of Lens) 94YA2_f;  
        '************************************************************************* nqeVV&b!  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) HSC6;~U  
        GetCustomElement eID, entity -U:2H7  
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        parID = FindFullName( "Geometry.Arizona Eye" ) lfgtcR{l5  
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        ' Delete any shift(s) in z  RY9. n  
        count = 0 ( mt*y]p?  
        While GetOperationCount(eID)>count EO"6Dq(  
            GetOperation eID, count, op cTy'JT7  
            If op.Type="ShiftZ" Then F#KF6)P  
                DeleteOperation eID,count GqMB^Ad  
                count=count-1 s"N\82z)  
            End If yH+c#w  
            count=count+1 I<KCt2:X  
        Wend ,A?{~?u.  
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        'Set new shift in V4Qz*z%  
        op.Type = "ShiftZ" [lZ=s[n.  
        op.val1 = taq CMFC"eS e  
        op.parent = parID S NN#$8\  
        AddOperation eID, op _C5nApb  
        Print "Set aqueous humor thickness = " & taq-0.55 A`g.[7  
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        '************************************************************************* r\B"?oqC  
        'Radius and conic constant of anterior lens /0-\ek ye  
        '************************************************************************* 8,H~4Ce3  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) zNwc((  
        GetConic eID, entity, curv, conic "5 y<G:$+~  
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        SetConic eID, entity, 1/Rant, CCant EFeAr@nj  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant N?zV*ngBS  
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        '************************************************************************* /RMer Xj  
        'Radius and conic constant of posterior lens \Me"'.F?  
        '************************************************************************* j+ I*Xw  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) y=wdR|b  
        GetConic eID, entity, curv, conic ss*5.(y  
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        SetConic eID, entity, 1/Rpost, CCpost vWuyft*  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost JLml#Pu4  
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        '************************************************************************* pRb<wt7v  
        'Lens thickness (Position of posterior lens surface) ? S8$5gA  
        '************************************************************************* oH=4m~'V  
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        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) G%Y*q(VrEu  
    raSF3b/0  
        ' Delete any z-shift(s) p?}&)Un  
        count = 0 )G mb? !/^  
        While GetOperationCount(eID)>count X"wF Qa  
            GetOperation eID, count, op a!&bc8J7  
            If op.Type="ShiftZ" Then 80dSQ"y  
                DeleteOperation eID,count { qjUI  
                count=count-1 xiEcEz'lk  
            End If W%=Zdm rv  
            count=count+1 \G]K,TG  
        Wend 58 kv#;j  
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        'Set new z-shift EkDws `@  
        op.Type = "ShiftZ" ,#=eu85 '  
        op.val1 = tlens $tEdBnf^ca  
        op.parent = parID kja4!_d  
        AddOperation eID, op u4@, *tT  
        Print "Set lens thickness = " & tlens u6]gQP">I  
    N!]PIWnC  
        '************************************************************************* -?[O"D"c  
        'Lens index of refraction /@6E3lh S  
        '************************************************************************* <1TlW ~q<  
        eID = FindMaterial( "Lens" ) ux%&lff  
        GetModelMaterial eID, mat e og\pMv  
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        mat.Nd = nlens 'W}~)+zK  
        SetModelMaterial eID, mat pHigxeV2  
        Print "Set lens index of refraction = " & nlens w{RNv%hJ$=  
    8moUK3w  
        '************************************************************************* Pv^(Q ]  
        'Pupil diameter v`@5enr  
        '************************************************************************* ;OQ#@|D  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" )  <WO&$&  
    f34_?F<h  
        'Adjust pupil diameter (trimming volume inner hole) CX1L(Y[  
    F">Nrj-bs  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" tq2-.]Y@U  
    t `N ">c"  
        ' Adjust pupil location to just in front of the lens b5lk0jA  
        parID = FindFullName( "Geometry.Arizona Eye" ) SJso'6 g  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) [Od>NO,n+]  
        count = 0 BERn _5gb  
        While GetOperationCount(eID)>count "bv,I-\  
            GetOperation eID, count, op p7%0hLW  
            If op.Type="ShiftZ" Then Xw&QrTDS`  
                DeleteOperation eID,count SD)5?{6<  
                count=count-1 Bu*W1w\  
            End If !#}v:~[A  
            count=count+1 rhlW  
        Wend nXx6L!HJ#  
        op.Type = "ShiftZ" >xhd[  
        op.val1 = taq-0.01 67Af} >Q  
        op.parent = parID W;xW: -  
        AddOperation eID, op O|A~dj `  
    s :-8 Z\,  
        Print "Set pupil diameter = " & pupilDiam Zkwy.Hq^  
    x@{G(W:W  
        'Update AZ Eye subassembly Description *+_fP|cv  
        eID = FindFullName( "Geometry.Arizona Eye" ) =;~%L  
        GetEntity eID, entity u5  [1Z|O  
        entity.Description = "Accommodation = " & A & "D" S3%.-)ib  
        SetEntity eID, entity pko!{,c  
    X ,V= od>  
        Update {hW +^  
        Print "DONE!" xi Ov$.@q  
         .0 R/'!e  
    End Sub DTX/3EN  
    rCnV5Yb0O  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: >Hd~Ca>  
     [%gK^Zt  
    Accommodation = 4 Diopters g]EQ2g_N1  
    Pupil Diameter = 4 mm N}.Q%&6:  
    Set aqueous humor thickness = 2.81 .ruz l(6  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 Thht_3_C,f  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 ,H#qgnp  
    Set lens thickness = 3.927 $S($97IU=  
    Set lens index of refraction = 1.42672 G#9o?  
    Set pupil diameter = 4 N \CEocU  
    DONE! #z-iL!?  
     
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