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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 TPJuS)TU9  
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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。 f`}u9!jVR  
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    模型 |r*y63\T  
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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。 1\jj3Y'i'  
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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. tjZS:@3 Z  
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    光源 r*7J#M /  
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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。 2V @ pt  
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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。 * se),CP!s  
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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。 *@ \LS!N  
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    图2. 字母F光源的设定方法光 ?AQR\)P  
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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 o>M&C X+j$  
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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。 ZYl*-i&~?  
    !&8B8jHqA  
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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。 S?H qrf7<  
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    图5. 视网膜重点采样规格设定
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    脚本 ]T<RC\o  
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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: uQkFFWS  
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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。 v3/G.B@=  
    余下的脚本计算与屈光度有关的所有参数。 u_)'}  
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    分析 _`]YWvh  
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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。 b;e*`f8T3c  
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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 Y&b JKX  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. !vSj1w  
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    Dim entity As T_ENTITY #F >R5 D  
    Dim op As T_OPERATION I_h&35^t  
    Dim mat As T_MODELMATERIAL :'gX//b):  
    Dim A As Double ~LN {5zg  
    Dim pupilDiam As Double .{#J2}+[_}  
    Dim eID As Long TqXB2`7Ri  
    Dim parID As Long Oc?]L&ap  
    Dim count As Integer +,Z Q( ZW  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double QK/~lN  
    Dim tlens As Double, nlens As Double ^{fA:N=  
    Dim curv As Double, conic As Double uyWt{>$  
    Dim ok As Long ||kUi=5  
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    Sub Main ~Wj. 4b*  
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        '用户输入对话框 _QOZ`st  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 ZC:7N{a  
            TextBox 220,21,40,21,.TextBox1 'default: 0 +(| ,Ke  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 f+W %X  
            OKButton 40,91,90,21 <@2g.+9  
            CancelButton 190,91,90,21 ^NiS7)FX  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 wtnC^d$  
            TextBox 220,49,40,21,.TextBox2 'default: 4 /jv4# 9  
        End Dialog 'e06QMp@  
        Dim dlg As UserDialog ).1 F0T  
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        ok = Dialog (dlg) pbePxOG  
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        If ok=0 Then    'cancel button was pressed S U$U  
            Print "Execution cancelled." %oE3q>S$en  
            End -mK;f$X  
        End If CQm(N  
    jpek=4E  
        'Assign accommodation and pupil diameter & use defaults if field left empty K.K=\ Y2  
        If dlg.TextBox1 = "" Then aqzIMOAf  
            A = 0           'Default accommodation u3ns-e  
        Else e2l!L*[g  
            A = CDbl(dlg.TextBox1) E;AOCbV*$  
        End If yJAz#~PO/  
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        If dlg.TextBox2 = "" Then jou741  
            pupilDiam = 4   'Default pupil diameter v46 5Z  
        Else HTU?hbG(  
            pupilDiam = CDbl(dlg.TextBox2) 7[?{wbq  
        End If E1-BB  
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        Print " " %d#h<e|,.  
        Print "Accommodation = " & A & " Diopters" 05gdVa,  
        Print "Pupil Diameter = " & pupilDiam & " mm" (W4H?u@X0  
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        ' Calculate new parameters with accommodation Doj>Irj? 7  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness (TJ )Y7E  
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        Rant = 12.0 - 0.4*A                     'Radius of anterior lens rsgTd\b  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens =9AX\2w*H;  
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        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens "MNI_C#{  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens nkn4VA?"  
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        tlens = 3.767 + 0.04*A                  'Lens thickness (6#, $Ze   
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction 5b5Hc Inu  
    `}Z`aK  
        'Adjust parameters to account for accommodation lqoJ2JMy  
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        '************************************************************************* \hr2#!  
        'Aqueous thickness (Position of Lens) E +!A0!1  
        '************************************************************************* 70BLd(?  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) n3Q Rn^  
        GetCustomElement eID, entity o1zKns?  
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        parID = FindFullName( "Geometry.Arizona Eye" ) nkAS]sC  
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        ' Delete any shift(s) in z (AI 4a+  
        count = 0 ev"f@y9Do  
        While GetOperationCount(eID)>count rCp'O\@S  
            GetOperation eID, count, op cA8A^Iv:0  
            If op.Type="ShiftZ" Then 0c6Ea>S[  
                DeleteOperation eID,count yT<,0~F9  
                count=count-1 y8arFG  
            End If g/f^|:  
            count=count+1 !xxdC  
        Wend n/Fx2QC{  
    UHT2a9rG  
        'Set new shift in O; #qG/b1  
        op.Type = "ShiftZ" WAqH*LB  
        op.val1 = taq V|W[>/  
        op.parent = parID  :qe.*\ c  
        AddOperation eID, op 3F ]30  
        Print "Set aqueous humor thickness = " & taq-0.55 BDiN*.w5  
    D(&XmC[\Y  
        '************************************************************************* NA;OT7X[  
        'Radius and conic constant of anterior lens u]uZc~T  
        '************************************************************************* +Cg[!6[#  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) V+Y;  
        GetConic eID, entity, curv, conic J[7Sf^r  
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        SetConic eID, entity, 1/Rant, CCant .TpM3b#r  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant o<8SiVC2  
    3 =-XA2zJ  
        '************************************************************************* H05xt$J  
        'Radius and conic constant of posterior lens VteMsL/H  
        '************************************************************************* ~lH_d[  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) mP[ZlS~"  
        GetConic eID, entity, curv, conic GMW,+  
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        SetConic eID, entity, 1/Rpost, CCpost *aaK_=w  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost `m+o^!SGe  
    'LW~_\  
        '************************************************************************* l:- <CbG  
        'Lens thickness (Position of posterior lens surface) ZXH{9hxd  
        '************************************************************************* *pj^d><  
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        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) s)9d\{  
    >\4"k4d}  
        ' Delete any z-shift(s) X-k$6}D  
        count = 0 'gv ~M_  
        While GetOperationCount(eID)>count gEISnMH  
            GetOperation eID, count, op +Jw+rjnP  
            If op.Type="ShiftZ" Then ![Ll$L r  
                DeleteOperation eID,count 'Hv=\p4$1  
                count=count-1 AXT(D@sI=  
            End If fb|%)A=  
            count=count+1 GMOnp$@H^s  
        Wend ,0\P r  
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        'Set new z-shift + C'<*  
        op.Type = "ShiftZ" *Eg[@5;QA  
        op.val1 = tlens Q|7l!YTzVu  
        op.parent = parID ]o2jS D  
        AddOperation eID, op JrNqS[c/  
        Print "Set lens thickness = " & tlens |{ TVW  
    CKy/gTN  
        '************************************************************************* P={8qln,X  
        'Lens index of refraction =QS%D*.|D  
        '************************************************************************* f=paa/k0  
        eID = FindMaterial( "Lens" ) O 4C}]E  
        GetModelMaterial eID, mat m TgsvC  
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        mat.Nd = nlens +[Bl@RHe^  
        SetModelMaterial eID, mat ~sMEfY,p  
        Print "Set lens index of refraction = " & nlens R4g;-Ci->  
    lcfX(~/m^  
        '************************************************************************* y#v<V1b]  
        'Pupil diameter :R1F\FT*  
        '************************************************************************* yt[*4gF4  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) <*[D30<  
    8fWk C<f}  
        'Adjust pupil diameter (trimming volume inner hole) 0x,NMS  
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        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" [ XBVES8  
     LOi/+;>  
        ' Adjust pupil location to just in front of the lens \'.|7{Xu  
        parID = FindFullName( "Geometry.Arizona Eye" ) GZzBATx  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) ]=vRjw  
        count = 0 wu~?P`  
        While GetOperationCount(eID)>count 3A!Qu$r9  
            GetOperation eID, count, op jg\FD51$  
            If op.Type="ShiftZ" Then /pQUu(~h_  
                DeleteOperation eID,count ;5&=I|xqe  
                count=count-1 "@(Sw>*o  
            End If b*TQKYT  
            count=count+1 ('1]f?:M  
        Wend Ci$?Hm9n  
        op.Type = "ShiftZ" jX&/ e'B  
        op.val1 = taq-0.01 bx:j`5Uj`  
        op.parent = parID ,w%hD*  
        AddOperation eID, op su0q 2.  
    M$Ow*!DfP  
        Print "Set pupil diameter = " & pupilDiam v{;^>"5o  
    ~nRbb;M  
        'Update AZ Eye subassembly Description &\e8c g  
        eID = FindFullName( "Geometry.Arizona Eye" ) se*!OiOt  
        GetEntity eID, entity EI8KKo *  
        entity.Description = "Accommodation = " & A & "D" l5FKw;=K}:  
        SetEntity eID, entity % 8P8h%%Z  
    l?O%yf`s  
        Update SYA0Hiw7P  
        Print "DONE!" R 6 -RH7.  
         9w.ZXd  
    End Sub B3Daw/G  
    S!8q>d,%L  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: |-`-zo4z  
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    Accommodation = 4 Diopters )St`}qu;  
    Pupil Diameter = 4 mm k{J\)z  
    Set aqueous humor thickness = 2.81 iC4rzgq  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 Bmv5yc+;  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 'J8Ga<s7C  
    Set lens thickness = 3.927 'Esz #@R  
    Set lens index of refraction = 1.42672 ( 9(NP_s  
    Set pupil diameter = 4 "{x+ \Z\  
    DONE! {sF;R.P&r  
     
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