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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 )eYDQA>J  
    Zu21L3  
    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。 /v#)f-N%zs  
    ^ve14mbF#.  
    模型 #?Mj$ZB  
    .!RavEg+  
    模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 /0lC KU!=  
    )(m0cP{7  
    Table 1. AZ眼睛模型的定义
    {.CMD9F[  
    在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. ?n]FNjd  
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    光源 ^.go O]  
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    多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 xWE8W m  
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    图1. 光源和提示信息使用
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    除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 jL>:>r  
    pQWHG#?7  
    在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 por/^=e{Y  
    cozXb$bBY  
    图2. 字母F光源的设定方法光 v`DI<Lt  
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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 M#,Q ^rH#  
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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。 x83a!9  
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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。 9V 0}d2d  
    U BZ9A  
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    图5. 视网膜重点采样规格设定
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    脚本 |< qs  
    ]lBGyUJn  
    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: L":bI&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。 }|wv]U~  
    余下的脚本计算与屈光度有关的所有参数。 izZ=d5+K  
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    分析 V[; M&=,"  
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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。 QM<y`cZ8  
    /rc%O*R  
    图7. 字母F在视网膜上颜色分析
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    脚本代码 7 s Fz?` -  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. `>lzlEhKV  
    Y&.UIosWb  
    Dim entity As T_ENTITY F<&!b2)ML  
    Dim op As T_OPERATION  $_;e>*+x  
    Dim mat As T_MODELMATERIAL ZC0-wr \  
    Dim A As Double %O[N}_XHEh  
    Dim pupilDiam As Double Uh6 '$0  
    Dim eID As Long FMw&(  
    Dim parID As Long zaimGMJ ,  
    Dim count As Integer 8wZf ]_  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double NjuiD].  
    Dim tlens As Double, nlens As Double YT#3n  
    Dim curv As Double, conic As Double 9~\kF5Q"  
    Dim ok As Long MCTsi:V>+  
    ~x:DXEV,  
    Sub Main  .) tSg  
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        '用户输入对话框 Qdk6Qubi!  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 ]< l6s  
            TextBox 220,21,40,21,.TextBox1 'default: 0 S$q =;"  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 IM@tN L  
            OKButton 40,91,90,21 b7`D|7D  
            CancelButton 190,91,90,21 )cJ#-M2  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 7[#yu2  
            TextBox 220,49,40,21,.TextBox2 'default: 4 LNYKm~c N  
        End Dialog `>C<}xO  
        Dim dlg As UserDialog CY:d`4  
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        ok = Dialog (dlg) A7_4 .VH  
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        If ok=0 Then    'cancel button was pressed 21X`h3+=  
            Print "Execution cancelled." {Ro2ouQ!V  
            End thlY0XCq,%  
        End If [lzN !!B!  
    VosZJv=  
        'Assign accommodation and pupil diameter & use defaults if field left empty gV;H6"  
        If dlg.TextBox1 = "" Then  mEG6  
            A = 0           'Default accommodation +n0r0:z0  
        Else XN=67f$Hw  
            A = CDbl(dlg.TextBox1) "p&Y^]  
        End If 0oZsb\  
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        If dlg.TextBox2 = "" Then ipnV$!z  
            pupilDiam = 4   'Default pupil diameter *D}0 [|O  
        Else Fxs;Fp  
            pupilDiam = CDbl(dlg.TextBox2) tc ;'oMUP  
        End If S^@S%Eg  
    Dr&('RZ4  
        Print " " f 3V Dv9(  
        Print "Accommodation = " & A & " Diopters" gN8hJG'0  
        Print "Pupil Diameter = " & pupilDiam & " mm" {Bs~lC$  
    !3n)|~r;K  
        ' Calculate new parameters with accommodation jd]s<C3o  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness Pt:e!qX)  
    GG064zPq7  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens ,_aM`%q?Fj  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens <#=N m0S$  
    - O98pi  
        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens XgN` 7!Z  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens :K`ESq!8u  
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        tlens = 3.767 + 0.04*A                  'Lens thickness )UgX3+@  
    6fH@wQ"wN  
        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction k(>h^  
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        'Adjust parameters to account for accommodation <9E0iz+j  
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        '************************************************************************* Amr[wx  
        'Aqueous thickness (Position of Lens) lt^\  
        '************************************************************************* WG*t ::NN  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) `g8E1-]l  
        GetCustomElement eID, entity k Iw`P[  
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        parID = FindFullName( "Geometry.Arizona Eye" ) CTt vyr  
     ~\,w {  
        ' Delete any shift(s) in z @2pu^k^  
        count = 0 t*z~5_/  
        While GetOperationCount(eID)>count Re:jVJg Bz  
            GetOperation eID, count, op Y$N)^=7  
            If op.Type="ShiftZ" Then B]m@:|Q  
                DeleteOperation eID,count 9I1tN  
                count=count-1 !CX t*/~  
            End If 3G.5724,  
            count=count+1 S)QAXjH  
        Wend S6}@I ,Q  
    U4m9e|/H;z  
        'Set new shift in ]{"Br$  
        op.Type = "ShiftZ" &PkLp4mQ  
        op.val1 = taq Nx{$}  
        op.parent = parID 4h5g'!9-g  
        AddOperation eID, op Z3>N<u8)  
        Print "Set aqueous humor thickness = " & taq-0.55 gu#-O?B  
    O^/Maa/D1  
        '************************************************************************* ]| N3eu  
        'Radius and conic constant of anterior lens q@b|F-  
        '************************************************************************* +!QJTn"3  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) (P&4d~) m  
        GetConic eID, entity, curv, conic 9lB]~,z  
    kb[P\cRa  
        SetConic eID, entity, 1/Rant, CCant R@Gq)P9?  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant 91Uj}n%  
    f;/QJ  
        '************************************************************************* xs\!$*R  
        'Radius and conic constant of posterior lens uB!kM  
        '************************************************************************* | 8qBm  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) b-3*Nl_%  
        GetConic eID, entity, curv, conic GUF"<k  
    4w#``UY)'  
        SetConic eID, entity, 1/Rpost, CCpost wApMzZ(X2y  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost !61Pl/uQ  
    Pnd `=%w%]  
        '************************************************************************* nW;g28  
        'Lens thickness (Position of posterior lens surface) D;UV&.$'v  
        '************************************************************************* dt~YW  
    nXjP x@  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) kId n6 Wx,  
    8/0Y vh  
        ' Delete any z-shift(s) -P&6L\V  
        count = 0 mhW-J6u*  
        While GetOperationCount(eID)>count ##Z_QB(;  
            GetOperation eID, count, op 5,)Q w  
            If op.Type="ShiftZ" Then ,f1q)Qf  
                DeleteOperation eID,count ^(* n]  
                count=count-1 _EF&A-kX|u  
            End If `DT3x{}_S  
            count=count+1 -s9P 8W  
        Wend )K'N(w  
    aR,}W\6M  
        'Set new z-shift XUuu-wm:}  
        op.Type = "ShiftZ" {EdH$l>94  
        op.val1 = tlens # O4gg  
        op.parent = parID Rq[ M29  
        AddOperation eID, op ID.n1i3  
        Print "Set lens thickness = " & tlens rQ=,y>-*  
    u_7~TE3W  
        '************************************************************************* lg047K   
        'Lens index of refraction 0flg=U9  
        '************************************************************************* 'R&uD~Q  
        eID = FindMaterial( "Lens" ) ,;M4jc {  
        GetModelMaterial eID, mat xQw7 :18wQ  
    O@?k T;B  
        mat.Nd = nlens q5>v'ZSo  
        SetModelMaterial eID, mat 8ssJ<LP  
        Print "Set lens index of refraction = " & nlens PQ@L+],C  
    31EyDU,W  
        '************************************************************************* w`l{LHrR  
        'Pupil diameter 8EVgoJ.  
        '************************************************************************* I |# 5NE6  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) B75k^ohfj  
    Jv.U Q  
        'Adjust pupil diameter (trimming volume inner hole) gIA@l `"  
    0(_l|PScF  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" v=('{/^~>  
    m^x6>9,  
        ' Adjust pupil location to just in front of the lens :_Eqf8T  
        parID = FindFullName( "Geometry.Arizona Eye" ) Agrp(i"\@  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" )  ^xPmlS;X  
        count = 0 p">EHWc}D  
        While GetOperationCount(eID)>count "TH6o: x  
            GetOperation eID, count, op ~q&pF"va8  
            If op.Type="ShiftZ" Then QM?#{%31  
                DeleteOperation eID,count $<ld3[l i  
                count=count-1 ]0L&v7[  
            End If udeoW-_  
            count=count+1 &CwFdx:Ff  
        Wend X*,Kb(3   
        op.Type = "ShiftZ" Jjl`_X$CB  
        op.val1 = taq-0.01 97)/"i e  
        op.parent = parID wCk~CkC?  
        AddOperation eID, op ki>~H!zB  
    U\rh[0  
        Print "Set pupil diameter = " & pupilDiam xUfbW;;]UU  
    .5!t:FPOv  
        'Update AZ Eye subassembly Description  ["}rk  
        eID = FindFullName( "Geometry.Arizona Eye" ) eSW{Cb  
        GetEntity eID, entity UU8pz{/  
        entity.Description = "Accommodation = " & A & "D" ~n}k\s~|4  
        SetEntity eID, entity O0>A+o[1F  
    zS] 8V?`  
        Update w\}?(uO  
        Print "DONE!" _j_x1.l  
         CkswJ:z)sc  
    End Sub LSQz"Ll l  
    !z{-?o/  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: gl&5l1&  
    Ma| qHg  
    Accommodation = 4 Diopters 4~U'TE @  
    Pupil Diameter = 4 mm X>?b#Eva  
    Set aqueous humor thickness = 2.81 F]O$(7*  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 $4MrP$4TI  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 FYS/##r  
    Set lens thickness = 3.927 {D g_?._d  
    Set lens index of refraction = 1.42672 +/D>|loRC  
    Set pupil diameter = 4 81*M= ?  
    DONE! dJ?XPo"Cm=  
    ^uJU}v:  
    7Ol}EPf#  
    QQ:2987619807 n[YEOkiG  
     
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