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    [分享]Arizona眼睛模型 [复制链接]

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    只看楼主 正序阅读 楼主  发表于: 2020-12-09
    简介 :zbQD8jv  
    P {jbl!UD7  
    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。 [`[|l  
    B eo@K|3GN  
    模型 _pG-qK  
    t+ G#{n  
    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。 mb3"U"ohs  
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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. rJT a  
    @)M9IOR  
    光源 eA?RK.e  
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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。 FUb\e-Q=  
    nEy&>z  
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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。 B{#I:Rs9  
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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。 T2W eE@o  
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    图2. 字母F光源的设定方法光 djG*YM\B  
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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 {duz\k2  
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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。 fOGFq1D  
    itP,\k7>d  
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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。 JR21>;l#2  
    @n /nH?L  
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    图5. 视网膜重点采样规格设定
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    脚本 #q$HQ&k  
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    内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: FVbb2Y?R  
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    图6. 用户对话框的创建与编辑
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    图7. 用户对话框编辑器
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    如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 BwpqNQN  
    余下的脚本计算与屈光度有关的所有参数。 @*XV`_!h  
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    分析 _D&598xx  
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    屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 +@f26O7$*  
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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:'MpKm  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. )2o?#8J  
    J]'zIOQ  
    Dim entity As T_ENTITY +3BN}  
    Dim op As T_OPERATION | YWD8 +  
    Dim mat As T_MODELMATERIAL G~a ZJ,  
    Dim A As Double JXQO~zj  
    Dim pupilDiam As Double YkSl^j[DHs  
    Dim eID As Long t{9GVLZ  
    Dim parID As Long vI >w e  
    Dim count As Integer V f&zL Sgr  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double _jVN&\A]mC  
    Dim tlens As Double, nlens As Double (%6P0*  
    Dim curv As Double, conic As Double 9$w.9`Py  
    Dim ok As Long 5C ]x!>kX  
    ~ .g@hS8>  
    Sub Main 1CZgb   
    "&u@d~`-n  
        '用户输入对话框 ]%H`_8<gc  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 ]_gU#,8  
            TextBox 220,21,40,21,.TextBox1 'default: 0 U7F!Z( 9  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 tcI*a>  
            OKButton 40,91,90,21 !e<^? r4  
            CancelButton 190,91,90,21 vvMT}-!  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 UI0VtR]   
            TextBox 220,49,40,21,.TextBox2 'default: 4 2%m BK  
        End Dialog wwZ,;\  
        Dim dlg As UserDialog b8UO,fY q  
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        ok = Dialog (dlg) 4+8@`f>s  
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        If ok=0 Then    'cancel button was pressed g! |kp?  
            Print "Execution cancelled." C1)!f j=  
            End ^yp{32  
        End If 6bC3O4Rw  
    SqpaFWr  
        'Assign accommodation and pupil diameter & use defaults if field left empty ZY+qA  
        If dlg.TextBox1 = "" Then v!5 `|\  
            A = 0           'Default accommodation CA~-rv  
        Else l ymCH  
            A = CDbl(dlg.TextBox1) CD~.z7,LC  
        End If Svmy(w~m  
    99QU3c<.  
        If dlg.TextBox2 = "" Then U5de@Y  
            pupilDiam = 4   'Default pupil diameter WOap+  
        Else /U9"wvg  
            pupilDiam = CDbl(dlg.TextBox2) f+!(k)GWd  
        End If y<Ot)fa$  
    7!E,V:bt'  
        Print " " (!WD1w   
        Print "Accommodation = " & A & " Diopters" g($2Dk_F2  
        Print "Pupil Diameter = " & pupilDiam & " mm" 8d'0N  
    ~9@UjQ^)F  
        ' Calculate new parameters with accommodation )SGq[B6@I  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness t{{QE:/  
     \4fQMG  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens 5.GR1kl6  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens 3!]rmZ-W  
    $!t4r  
        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens G 3ptx! D  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens JWxwJex  
    s$j,9uRr  
        tlens = 3.767 + 0.04*A                  'Lens thickness f@!.mDm]  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction d2$IH#~9B  
    #H~64/  
        'Adjust parameters to account for accommodation s~X%Y<9l  
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        '************************************************************************* eaU  
        'Aqueous thickness (Position of Lens) R:qW;n%AF  
        '************************************************************************* (E1~H0^  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) [nq@mc~<  
        GetCustomElement eID, entity (T oUgVW1N  
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        parID = FindFullName( "Geometry.Arizona Eye" ) Q"#J6@  
    }Q+|W=2t  
        ' Delete any shift(s) in z @H8EWTZ  
        count = 0 I&5!=kR  
        While GetOperationCount(eID)>count JucY[`|JV  
            GetOperation eID, count, op f|g g  
            If op.Type="ShiftZ" Then 8z\xrY  
                DeleteOperation eID,count E]r?{t`]  
                count=count-1 0"z9Q\{}  
            End If F!K>Kz  
            count=count+1 |_U= z;Y  
        Wend u*9V&>o  
    (QB2T2x  
        'Set new shift in f|(M.U-  
        op.Type = "ShiftZ" I q.*8Oc  
        op.val1 = taq N'=gep0V@  
        op.parent = parID \|[;Z"4l  
        AddOperation eID, op #g!.T g'  
        Print "Set aqueous humor thickness = " & taq-0.55 2Tppcj v  
    |y!A&d=xYn  
        '************************************************************************* <~=Vg  
        'Radius and conic constant of anterior lens q@2siI~W  
        '************************************************************************* I%Z  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) HxI" 8A  
        GetConic eID, entity, curv, conic TD_Oo-+\  
    OZ;*JR:  
        SetConic eID, entity, 1/Rant, CCant cB&:z)i4  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant PPsE${!  
    poFg 1  
        '************************************************************************* Ek}A]zC  
        'Radius and conic constant of posterior lens tq?!-x+>  
        '************************************************************************* FVBYo%Ap  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) NGWxN8P6  
        GetConic eID, entity, curv, conic (7*}-Uy[C  
    =g|FT  
        SetConic eID, entity, 1/Rpost, CCpost i}?>g-(  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost #.[k=dj   
    >LuYHr  
        '************************************************************************* Tm?#M&'  
        'Lens thickness (Position of posterior lens surface) TS5Q1+hWHV  
        '************************************************************************* T6k0>[3xf  
    ?bu>r=oIO]  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) [0 e_*  
    {l >hMxij  
        ' Delete any z-shift(s) 8~gLqh8^V  
        count = 0 A5w6]:f2  
        While GetOperationCount(eID)>count a.6(K  
            GetOperation eID, count, op v.5+7,4  
            If op.Type="ShiftZ" Then `9.r`&T6K  
                DeleteOperation eID,count PFK  '$  
                count=count-1 T]p-0?=4vv  
            End If ;A!BVq  
            count=count+1 @s^-.z  
        Wend |zE'd!7E  
    >&k-'`Nw  
        'Set new z-shift $, '*f?d  
        op.Type = "ShiftZ" -Y;3I00(  
        op.val1 = tlens */DO ex"y  
        op.parent = parID gPc=2  
        AddOperation eID, op WMg~Y"W  
        Print "Set lens thickness = " & tlens { [>Kob1  
    sn>~O4"  
        '************************************************************************* WMP,\=6k0  
        'Lens index of refraction S 6,.FYH  
        '************************************************************************* ]M'=^32  
        eID = FindMaterial( "Lens" ) M& CqSd  
        GetModelMaterial eID, mat +d-NL?c  
    GowH]MO  
        mat.Nd = nlens Dn}Jxu'(  
        SetModelMaterial eID, mat ei5~&  
        Print "Set lens index of refraction = " & nlens D|#E9OQzs  
    da~],MN  
        '************************************************************************* C"]^Q)aJN  
        'Pupil diameter *HB-QIl  
        '************************************************************************* gv{ >`AN  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) FU<Jp3<%  
    ?[>3QE  
        'Adjust pupil diameter (trimming volume inner hole) kz7(Z'pw  
    gKCX|cULY  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" G9@0@2aY8  
    w)jISu;RG  
        ' Adjust pupil location to just in front of the lens 8sK9G` k  
        parID = FindFullName( "Geometry.Arizona Eye" ) Nl(Foya%)  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) HLHz2-lI  
        count = 0 #yvGK:F  
        While GetOperationCount(eID)>count y L~W.H  
            GetOperation eID, count, op rk)`\=No  
            If op.Type="ShiftZ" Then ~.lPEA %%  
                DeleteOperation eID,count ;P&OX5~V  
                count=count-1 Y:)e(c"A  
            End If *G 9V'9  
            count=count+1 @gXx1hEg  
        Wend BJo*'US-Q  
        op.Type = "ShiftZ" n@[O|?S  
        op.val1 = taq-0.01 ]:/Q]n^  
        op.parent = parID G;XxBA  
        AddOperation eID, op '>C5-R:O  
    SOvF[,+  
        Print "Set pupil diameter = " & pupilDiam tIS<U(N ;  
    Nu~lsWyRI5  
        'Update AZ Eye subassembly Description &UlWCOo8  
        eID = FindFullName( "Geometry.Arizona Eye" ) VTHH&$ZNq  
        GetEntity eID, entity _/<x   
        entity.Description = "Accommodation = " & A & "D" @2v_pJy^  
        SetEntity eID, entity KdbHyg<4  
    @49S`  
        Update X+]G-  
        Print "DONE!" QUQ'3  
         %3''}Y5  
    End Sub y Fq&8 x<X  
    WvZ8/T'x  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: {3vNPQJ  
    ?p8_AL'RS  
    Accommodation = 4 Diopters gt w Q-  
    Pupil Diameter = 4 mm D*|Bb?  
    Set aqueous humor thickness = 2.81 WQO) =n  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 K8Y=S12Ti  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 2P{Gxz<#  
    Set lens thickness = 3.927 T:W4$P  
    Set lens index of refraction = 1.42672 x;<W&s}(  
    Set pupil diameter = 4 5bpEYW+  
    DONE! >Wg hn:^  
    :tv,]05t  
    Jo23P.#<  
    QQ:2987619807 e6RPIg  
     
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