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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 #F^0uUjq  
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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。 o9XT_!Cwg  
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    模型 ahUc ;S:v#  
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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。 2=%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. VpO+52&  
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    光源 0XzrzT"&  
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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。 k|r|*|8  
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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。 = }!4%.$  
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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。  %>z)Q  
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    图2. 字母F光源的设定方法光 05ZF>`g*  
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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 b"g_  
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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。 [h0.k"&[  
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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。 v*lj>)L  
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    图5. 视网膜重点采样规格设定
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    脚本 K)&oDwk  
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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: ,&ld:v?~  
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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。 M@a=|N~  
    余下的脚本计算与屈光度有关的所有参数。 OaF[t*]D3  
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    分析 gCP f1z  
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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。 /DxeG'O  
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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 @#1T-*  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. O <#H5/Tq  
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    Dim entity As T_ENTITY }HLV'^"k  
    Dim op As T_OPERATION d3&l!DoX  
    Dim mat As T_MODELMATERIAL zi?G wh~  
    Dim A As Double u?V Tnsu  
    Dim pupilDiam As Double Rdj/n :  
    Dim eID As Long P~9y}7Q\0  
    Dim parID As Long *U:0c ;h  
    Dim count As Integer S&z8-D=8k  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double TYu(;~   
    Dim tlens As Double, nlens As Double SadffAvSA{  
    Dim curv As Double, conic As Double .?dYY;P  
    Dim ok As Long Kq&JvY^  
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    Sub Main <d] t{M62W  
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        '用户输入对话框 R.)w l  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 i"OY=iw-N  
            TextBox 220,21,40,21,.TextBox1 'default: 0 "jA?s9  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 X{-901J1  
            OKButton 40,91,90,21 oeF0t'%  
            CancelButton 190,91,90,21 9`|~- b  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 gK",D^6T*Y  
            TextBox 220,49,40,21,.TextBox2 'default: 4 up )JU [  
        End Dialog )^[PW&=W|x  
        Dim dlg As UserDialog aC,?FWm  
    ]`T*}$|  
        ok = Dialog (dlg) 0s o27k  
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        If ok=0 Then    'cancel button was pressed WP ~]pduT  
            Print "Execution cancelled." %C =?Xhnv  
            End 5"^Z7+6  
        End If mY0FewwTy  
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        'Assign accommodation and pupil diameter & use defaults if field left empty 9 6j*F,{  
        If dlg.TextBox1 = "" Then yl UkVr   
            A = 0           'Default accommodation &A)u!l Ue  
        Else bTJ l  
            A = CDbl(dlg.TextBox1) {-.ZFUZmT  
        End If Z O\x|E!b  
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        If dlg.TextBox2 = "" Then "Wn8}T*  
            pupilDiam = 4   'Default pupil diameter xt=ELzu$  
        Else HWOOw&^<  
            pupilDiam = CDbl(dlg.TextBox2) D?`|`Mu  
        End If bO6LBSZx]  
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        Print " " k:* (..!0z  
        Print "Accommodation = " & A & " Diopters" s%Irh;Bs  
        Print "Pupil Diameter = " & pupilDiam & " mm" L/7YI\C2  
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        ' Calculate new parameters with accommodation \ ix& U  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness ^7,`6g  
    #@8JYzMq%  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens a~Nh6 x  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens tEjT$`6hp  
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        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens o@ W:PmKW  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens LY1dEZ-)A  
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        tlens = 3.767 + 0.04*A                  'Lens thickness b5t:" >wC  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction \+VQoB/  
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        'Adjust parameters to account for accommodation 29kR7[k  
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        '************************************************************************* K3-Cuku  
        'Aqueous thickness (Position of Lens) U2HAIV8  
        '************************************************************************* -H9WwFk  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) L{uQ: ;w1  
        GetCustomElement eID, entity P^J#;{R  
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        parID = FindFullName( "Geometry.Arizona Eye" ) 6hAMk<kx?i  
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        ' Delete any shift(s) in z X3l? YA  
        count = 0 Z[G:  
        While GetOperationCount(eID)>count r0j+P%  
            GetOperation eID, count, op c(r8 F[4w  
            If op.Type="ShiftZ" Then 5KRI}f  
                DeleteOperation eID,count Dh.pH1ZY3n  
                count=count-1 +~f5dJyk`  
            End If (8jQdbZU  
            count=count+1 Y7WU4He L  
        Wend vR?E'K3  
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        'Set new shift in RC+`sZ E9  
        op.Type = "ShiftZ" O~&j}WN  
        op.val1 = taq *7G5\[gI$  
        op.parent = parID +hUz/G+3  
        AddOperation eID, op YT\.${N  
        Print "Set aqueous humor thickness = " & taq-0.55 aa,^+^J  
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        '************************************************************************* Q/^a(   
        'Radius and conic constant of anterior lens dA=T+u  
        '************************************************************************* %w#8t#[,6  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) 7xoq:oP-}N  
        GetConic eID, entity, curv, conic %hV]vm  
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        SetConic eID, entity, 1/Rant, CCant 3&"+)*/ m  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant N5|wBm>m  
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        '************************************************************************* Lu9`(+  
        'Radius and conic constant of posterior lens {D7v[P+  
        '************************************************************************* ZZJ<JdD  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) B f"L;L  
        GetConic eID, entity, curv, conic =q?sB]n  
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        SetConic eID, entity, 1/Rpost, CCpost EJaGz\\  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost z-G*:DfgH  
    #s3R4@{  
        '************************************************************************* ~xU\%@I\  
        'Lens thickness (Position of posterior lens surface) /\d@AB^5I  
        '************************************************************************* w*krPaT3  
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        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) qz&?zzz;  
     [kL`'yi  
        ' Delete any z-shift(s) _8&a%?R@W  
        count = 0 (;cvLop  
        While GetOperationCount(eID)>count CjZIBMGc  
            GetOperation eID, count, op WIYWql>*  
            If op.Type="ShiftZ" Then `<IaQY  
                DeleteOperation eID,count -mqL[ h,  
                count=count-1  RR[1mM  
            End If Pm== m9  
            count=count+1 9Z lfY1=  
        Wend 7p[NuU*Gg  
    pz,iQUs _o  
        'Set new z-shift G}#p4 \/  
        op.Type = "ShiftZ" ]Pf!wv  
        op.val1 = tlens )kvrQ6  
        op.parent = parID ,FWsgqL{l  
        AddOperation eID, op ;>r E+k%_  
        Print "Set lens thickness = " & tlens E?cf#;2h8m  
    'QQa :3<x  
        '************************************************************************* Y20T$5{#  
        'Lens index of refraction cNiNLwc  
        '************************************************************************* =H/ 5  
        eID = FindMaterial( "Lens" ) *:8,w?Nt  
        GetModelMaterial eID, mat IyoitIbLl  
    Z:.*fs5  
        mat.Nd = nlens y!/:1BHlm  
        SetModelMaterial eID, mat Q+; N(\  
        Print "Set lens index of refraction = " & nlens &2,^CG  
    >\'gIIs  
        '************************************************************************* A&L2&ofV&q  
        'Pupil diameter +XpQ9Cd  
        '*************************************************************************  7;$[s6$  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) ujh`&GiB+  
    _FP'SVa}D  
        'Adjust pupil diameter (trimming volume inner hole) 5m9;'SF  
    Q(/F7 "m  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" ,QPo%{:p  
    Z!*k0 <Z  
        ' Adjust pupil location to just in front of the lens R/Te ;z  
        parID = FindFullName( "Geometry.Arizona Eye" ) m*'87a9q0  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) Q&8epO|J  
        count = 0 tLzKM+Ct#  
        While GetOperationCount(eID)>count :[?65q{  
            GetOperation eID, count, op i9v|*ZM"  
            If op.Type="ShiftZ" Then _NN5e|t  
                DeleteOperation eID,count ,nSapmg  
                count=count-1 {)PgN  
            End If -~ H?R  
            count=count+1 ~=gpn|@b  
        Wend C(&3L[  
        op.Type = "ShiftZ" l09SWug  
        op.val1 = taq-0.01 {;+9A}e  
        op.parent = parID #BwOWra  
        AddOperation eID, op +%? \#EQJ  
    s7s@!~  
        Print "Set pupil diameter = " & pupilDiam u+qj_Ej  
    X.[8L^ldh  
        'Update AZ Eye subassembly Description T4h&ly5 f  
        eID = FindFullName( "Geometry.Arizona Eye" ) %,f(jQfg_  
        GetEntity eID, entity aPm2\Sq$  
        entity.Description = "Accommodation = " & A & "D" PZk"!I<oN  
        SetEntity eID, entity 5E0dX3-  
    X{8g2](z.  
        Update 495A\8#  
        Print "DONE!" #PQhgli  
         b] ~  
    End Sub WP >VQZ&  
    xP $\ }  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: S=qx,<J 39  
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    Accommodation = 4 Diopters nTCwLnX(O  
    Pupil Diameter = 4 mm ~'0W(~Q8  
    Set aqueous humor thickness = 2.81 f[-$##S.~  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 4%5 +  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 @6%o0p9zz  
    Set lens thickness = 3.927 .svlJSx  
    Set lens index of refraction = 1.42672 wVkRrFJ  
    Set pupil diameter = 4 `u$lSGl  
    DONE! cBQ+`DXn5c  
    MS;^@>|wj  
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    QQ:2987619807 4nKlW_{,  
     
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