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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 v-^tj}jA  
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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。 $bfmsCcHL  
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    模型 [!8b jc]c  
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    模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 AZA5>Y  
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    Table 1. AZ眼睛模型的定义
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    在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. Y6d~hLC  
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    光源 s0/m qZ]s  
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    多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 csxn" Dz\  
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    图1. 光源和提示信息使用
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    除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 qt/6o|V  
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    在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 *yo'Nqu  
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    图2. 字母F光源的设定方法光 M"u=)CT  
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    图3. 字母F在视网膜上位置点列图
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    视网膜的散射 jsr)  
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    在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 8m `Y  
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    图4. 视网膜朗伯散射设定
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    注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 hN gT/y8  
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    图5. 视网膜重点采样规格设定
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    脚本 R[fQ$` M  
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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: O&~ @ior  
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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。 q D=b+\F  
    余下的脚本计算与屈光度有关的所有参数。 GkU$Z @  
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    分析 7M5H vG#w%  
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    屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 qf<o"B|_9  
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    图7. 字母F在视网膜上颜色分析
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    脚本代码 ?@`5^7*  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. :6EX-Xyj  
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    Dim entity As T_ENTITY [)I W9E v  
    Dim op As T_OPERATION I|c?*~7*  
    Dim mat As T_MODELMATERIAL m6 xbO  
    Dim A As Double iXXaB +w  
    Dim pupilDiam As Double yOb']  
    Dim eID As Long r~fnK%|  
    Dim parID As Long _z.CV<  
    Dim count As Integer c*" P+  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double C$LRX7Z`o  
    Dim tlens As Double, nlens As Double F* Yx1vj  
    Dim curv As Double, conic As Double hg'eSU$J  
    Dim ok As Long 0D  `9  
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    Sub Main t0P_$+w.>  
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        '用户输入对话框 5N ;xo??  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 q9InO]s&~=  
            TextBox 220,21,40,21,.TextBox1 'default: 0 Ip8:~Fl]  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 ;>X;cZMd  
            OKButton 40,91,90,21 zqI|VH  
            CancelButton 190,91,90,21 JEZ0O&_R  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 3(.Y>er%U  
            TextBox 220,49,40,21,.TextBox2 'default: 4 $I ,Np)i  
        End Dialog "EWq{l_I5$  
        Dim dlg As UserDialog 9j5Z!Vsy  
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        ok = Dialog (dlg) %6M%PR~u  
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        If ok=0 Then    'cancel button was pressed XZ8]se"C  
            Print "Execution cancelled." I_`NjJ;61  
            End jgkY^l  
        End If ]Al)>  
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        'Assign accommodation and pupil diameter & use defaults if field left empty FS('*w&bP  
        If dlg.TextBox1 = "" Then j4=\MK  
            A = 0           'Default accommodation s,Fts3+  
        Else lC d\nE8G  
            A = CDbl(dlg.TextBox1) cN\_1  
        End If i.-2 w6  
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        If dlg.TextBox2 = "" Then 2G3Hi;q18  
            pupilDiam = 4   'Default pupil diameter 'S#^ 70kt  
        Else PVmePgF   
            pupilDiam = CDbl(dlg.TextBox2) 3 "Qg"\  
        End If c<q~T >0k  
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        Print " " AOTtAV_e  
        Print "Accommodation = " & A & " Diopters" : 'jVA  
        Print "Pupil Diameter = " & pupilDiam & " mm" 'Ir   
    :)+)L@By  
        ' Calculate new parameters with accommodation s]D1s%Mx  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness q+w] Xs;  
    'I2[} >mj2  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens zMO xJ   
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens #N y+6XM  
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        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens iqsR]mab  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens dXU6TCjU7  
    \vW'\}  
        tlens = 3.767 + 0.04*A                  'Lens thickness  (8 /&  
    hN!{/Gc|  
        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction /6 y;fx  
    v\}{eP'  
        'Adjust parameters to account for accommodation 9h6siK(F  
    ~C?)- ]bF  
        '************************************************************************* }5B\:*yW  
        'Aqueous thickness (Position of Lens) oS_YQOoD  
        '************************************************************************* tS,AS,vy]  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) N4WX}  
        GetCustomElement eID, entity |"eC0u  
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        parID = FindFullName( "Geometry.Arizona Eye" ) `t g=__D  
    N#X* 0i"  
        ' Delete any shift(s) in z ]BmnE#n&  
        count = 0 DMKtTt[}  
        While GetOperationCount(eID)>count [ o 6  
            GetOperation eID, count, op W/%9=g$m  
            If op.Type="ShiftZ" Then V7 hO}  
                DeleteOperation eID,count q$}gQ9'z'  
                count=count-1 ')(U<5y)  
            End If Yv"B-oy  
            count=count+1 FbW$H]C$  
        Wend WkPT6d  
    J!@R0U.  
        'Set new shift in w)/~Gn676  
        op.Type = "ShiftZ" 6Z@T /"mU(  
        op.val1 = taq Ejyo oO45  
        op.parent = parID ]Z*B17//  
        AddOperation eID, op p>W@h*[6w  
        Print "Set aqueous humor thickness = " & taq-0.55 s Dsq:z  
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        '************************************************************************* $JiypX^DOP  
        'Radius and conic constant of anterior lens [|(=15;  
        '************************************************************************* #E_<}o  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) D@c@Dt  
        GetConic eID, entity, curv, conic ylQ9Su>o  
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        SetConic eID, entity, 1/Rant, CCant ?0lz!Nq'S  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant Qr?1\H:Lq  
    qtFHA+bO  
        '************************************************************************* 4"\%/kG  
        'Radius and conic constant of posterior lens ciFqj3JS  
        '************************************************************************* }$(\,SzW  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) +/hd;s$x  
        GetConic eID, entity, curv, conic Uyd'uC  
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        SetConic eID, entity, 1/Rpost, CCpost + 7wMM#z  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost "ZFH_5<  
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        '************************************************************************* 6r`Xi&  
        'Lens thickness (Position of posterior lens surface) Xx\,<8Xn  
        '************************************************************************* CW]Th-xc  
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        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) xT!<x({  
    Fe.90)  
        ' Delete any z-shift(s) aS~~*UHW  
        count = 0 dAy\IfZX=  
        While GetOperationCount(eID)>count Z{?T1 =n  
            GetOperation eID, count, op  "+Sq}WR  
            If op.Type="ShiftZ" Then J5Ti@(G5V  
                DeleteOperation eID,count nwIj?(8x  
                count=count-1 (;-_j /  
            End If 6Xbf3So  
            count=count+1 #qeC)T  
        Wend WuTkYiF  
    ,qNbo 11  
        'Set new z-shift 6{yn;D4  
        op.Type = "ShiftZ" m7i(0jd +  
        op.val1 = tlens : t /0  
        op.parent = parID ab]Q1kD  
        AddOperation eID, op '%o^#gJp  
        Print "Set lens thickness = " & tlens ,Z}ST|$u  
    0Gu?;]GSv  
        '************************************************************************* 'pB?  
        'Lens index of refraction X8A.ag0Uu  
        '************************************************************************* ef/43+F^x  
        eID = FindMaterial( "Lens" ) =d]}7PO ~  
        GetModelMaterial eID, mat ixE w!t  
    0G2Y_A&e**  
        mat.Nd = nlens 9<3fH J?vq  
        SetModelMaterial eID, mat ?CcX>R-/  
        Print "Set lens index of refraction = " & nlens 4t3>`x 7  
    bW=3X-)  
        '************************************************************************* =K}T; c  
        'Pupil diameter Q>cEG"  
        '************************************************************************* ?e,:x ]\L  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) p(K ^Zc  
    '?g&);4)k-  
        'Adjust pupil diameter (trimming volume inner hole) CF@*ki3X  
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        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" %b2Hm9r+  
    B<n[yiJ}  
        ' Adjust pupil location to just in front of the lens nHRk2l|  
        parID = FindFullName( "Geometry.Arizona Eye" ) N Z ,}v3  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) OhlK;hvdB*  
        count = 0 62y:i  
        While GetOperationCount(eID)>count lNl.lI\t)y  
            GetOperation eID, count, op ]cVDXLj$  
            If op.Type="ShiftZ" Then S\Le;,5Z  
                DeleteOperation eID,count bf {_U%`  
                count=count-1 sLXM$SMBh  
            End If zmL VFGnS  
            count=count+1 d 2^/  
        Wend *<6dB#' J  
        op.Type = "ShiftZ" y6x./1Nb}<  
        op.val1 = taq-0.01 p . P#S  
        op.parent = parID 5h0Hk<N  
        AddOperation eID, op 7J ?s&x  
    _Hfpizm  
        Print "Set pupil diameter = " & pupilDiam Z @ef2y;  
    #g0N/  
        'Update AZ Eye subassembly Description T?6<1nU)  
        eID = FindFullName( "Geometry.Arizona Eye" ) " a,4E{7  
        GetEntity eID, entity 1~3dX[&  
        entity.Description = "Accommodation = " & A & "D" >VQLC&u(  
        SetEntity eID, entity a1/+C$ oB  
    =&qH%S6  
        Update DuDt'^]  
        Print "DONE!" OLm@-I*  
         Uxik&M  
    End Sub =5V7212  
    9c }qVf-i  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: u/-EVCHr y  
    BHYguS^qz  
    Accommodation = 4 Diopters -!O8V  
    Pupil Diameter = 4 mm +zq"dj_  
    Set aqueous humor thickness = 2.81 $p&eS_f  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 /h.{g0Xc  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 _)!*,\*`{  
    Set lens thickness = 3.927 A9u>bWIE7  
    Set lens index of refraction = 1.42672 9y;}B y  
    Set pupil diameter = 4 .=t:Uy  
    DONE! fjl 9*  
     
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