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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 t*.O >$[  
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    人眼光学模型可用来设计眼科用设备,光学系统注定了要与人眼一起使用。本文演示了这样一个模型:Arizona眼睛模型,在Jim Schwiegerling教授的书中有详细描述:《Field Guide to Visual and Ophthalmic Optics》。AZ眼睛模型达到了基于平均临床数据所决定的轴上和轴外像差等级。FRED文件包含了此眼睛模型及几个用来分析它的光源,并包括一个基于想要的屈光度来调整模型的内嵌脚本。 (i.MxG Dd  
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    模型 M+gQN}BAr  
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    模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 !Z YMks4  
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    Table 1. AZ眼睛模型的定义
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    在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. Q i&!IG  
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    光源 o*_[3{FU  
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    多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 TKx.`Cf m  
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    图1. 光源和提示信息使用
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    除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 UAFl+d!  
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    在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 (*;b\h  
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    图2. 字母F光源的设定方法光 S:v]3G  
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    图3. 字母F在视网膜上位置点列图
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    视网膜的散射 -7fsfcGM$  
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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。 g;i>nzf  
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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。 &{!FE`ZC_  
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    图5. 视网膜重点采样规格设定
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    脚本 {CG%$rh  
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    内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: = 7d{lK  
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    图6. 用户对话框的创建与编辑
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    图7. 用户对话框编辑器
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    如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 &p8b4y_  
    余下的脚本计算与屈光度有关的所有参数。 Rb Jl;  
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    分析 )[|TxXz d  
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    屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 ^q-]."W]t~  
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    图7. 字母F在视网膜上颜色分析
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    脚本代码 kO{A]LnAH  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. a6wPkf7-H  
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    Dim entity As T_ENTITY `wj<d>m  
    Dim op As T_OPERATION V|e9G,z~A  
    Dim mat As T_MODELMATERIAL y!&6"l$K]  
    Dim A As Double &<2~7?$!  
    Dim pupilDiam As Double wa-#C,R\_#  
    Dim eID As Long as=Z_a:0N  
    Dim parID As Long %ZF47P%6  
    Dim count As Integer v^1_'P AXu  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double LG0+A}E=C  
    Dim tlens As Double, nlens As Double C ?JcCD2  
    Dim curv As Double, conic As Double R".~{6  
    Dim ok As Long = &jLwy  
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    Sub Main 0Mpc#:a%1  
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        '用户输入对话框 [vh&o-6  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 }G}2Y (  
            TextBox 220,21,40,21,.TextBox1 'default: 0 m%hI@'  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 <Dojl #  
            OKButton 40,91,90,21  b)/,  
            CancelButton 190,91,90,21 0`VA} c  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 j ;}!Yn  
            TextBox 220,49,40,21,.TextBox2 'default: 4 0aj4.H*%  
        End Dialog *;@V5[^3I?  
        Dim dlg As UserDialog ;}"!|  
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        ok = Dialog (dlg) }TE4)vXs  
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        If ok=0 Then    'cancel button was pressed 9jW/"  
            Print "Execution cancelled." 50h?#u6?  
            End Af y\:&j  
        End If 3H"bivK  
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        'Assign accommodation and pupil diameter & use defaults if field left empty h[H FZv~{  
        If dlg.TextBox1 = "" Then _voU^-  
            A = 0           'Default accommodation f/+UD-@%m  
        Else zv/owK  
            A = CDbl(dlg.TextBox1) 6WUP#c@{  
        End If ${fJ]  
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        If dlg.TextBox2 = "" Then #$k6OlK-r"  
            pupilDiam = 4   'Default pupil diameter Z ,4G'[d  
        Else )2vkaR  
            pupilDiam = CDbl(dlg.TextBox2) MoAZ!cF8  
        End If Eci,];S7  
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        Print " " C.su<B?  
        Print "Accommodation = " & A & " Diopters" NABVU0}   
        Print "Pupil Diameter = " & pupilDiam & " mm" fbv%&z  
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        ' Calculate new parameters with accommodation =VXxQ\{  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness ~t0\Q; @($  
    8/4i7oOC  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens [@K#BFA  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens 9qe<bds1  
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        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens ? }t[  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens aG&ay3[&  
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        tlens = 3.767 + 0.04*A                  'Lens thickness 8<#S:O4kA  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction V'n4iM  
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        'Adjust parameters to account for accommodation d4(!9O.\  
    +,wCV2>\3  
        '************************************************************************* 78o>UWA:  
        'Aqueous thickness (Position of Lens) DMeP9D  
        '************************************************************************* 7R4xJ H  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) ik:fq&=  
        GetCustomElement eID, entity HzuB.B<  
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        parID = FindFullName( "Geometry.Arizona Eye" ) "V7 SB   
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        ' Delete any shift(s) in z e3YdHp  
        count = 0 4|yZA*Q^  
        While GetOperationCount(eID)>count (j*1sk  
            GetOperation eID, count, op aNcuT,=(?8  
            If op.Type="ShiftZ" Then ;`p!/9il  
                DeleteOperation eID,count 335\0~;3  
                count=count-1 w26x)(7  
            End If :f9O3QA  
            count=count+1 }iu(-{Z  
        Wend Vy+UOV&v-  
    yEvuTgDv  
        'Set new shift in W{JNNf6G  
        op.Type = "ShiftZ" u=mJI*  
        op.val1 = taq +|SvJ  
        op.parent = parID k-~HUC.A.  
        AddOperation eID, op cag9f?w@V  
        Print "Set aqueous humor thickness = " & taq-0.55 F| ib=_)3  
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        '************************************************************************* zSU06Y  
        'Radius and conic constant of anterior lens n-%8RV  
        '************************************************************************* \q |n0>  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) 9S _N*wC.  
        GetConic eID, entity, curv, conic HJV8P2f8`  
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        SetConic eID, entity, 1/Rant, CCant GiF})e}  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant tOu:j [  
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        '************************************************************************* dE[_]2];P  
        'Radius and conic constant of posterior lens T-'B-g  
        '************************************************************************* fUJ\W"qya  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) cdH Ug#  
        GetConic eID, entity, curv, conic `6t3D&.u0  
    #9Fe,  
        SetConic eID, entity, 1/Rpost, CCpost :2n(WXFFI  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost TYs#v/)I  
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        '************************************************************************* N]p|c3D  
        'Lens thickness (Position of posterior lens surface) INHN=KY{  
        '************************************************************************* [H3~b=  
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        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) qZ39TTQ*p  
    CCX!>k]  
        ' Delete any z-shift(s) qM$~5uu  
        count = 0 ;-G!jWt6Zi  
        While GetOperationCount(eID)>count R.g'&_zx  
            GetOperation eID, count, op N1V qK  
            If op.Type="ShiftZ" Then !6wbg  
                DeleteOperation eID,count `R}D@  
                count=count-1 .2xp.i{  
            End If =f)S=0UF  
            count=count+1 Z {ntF  
        Wend aBM'ROQ  
    |U_48  
        'Set new z-shift HA{-XPAWZ  
        op.Type = "ShiftZ" 3q:-98DT  
        op.val1 = tlens y>S.B/ d  
        op.parent = parID n\2VrUQ)M  
        AddOperation eID, op Y/t:9Aau  
        Print "Set lens thickness = " & tlens t[6g9e$  
    '_n{+eR74  
        '*************************************************************************  *it(o  
        'Lens index of refraction |Hbe]2"x>  
        '************************************************************************* I(8,D[G.m  
        eID = FindMaterial( "Lens" ) HrA6wn\O  
        GetModelMaterial eID, mat ou44vKzS  
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        mat.Nd = nlens sz.(_{5!  
        SetModelMaterial eID, mat 4/{Io &|  
        Print "Set lens index of refraction = " & nlens {Izg1 N  
    'JEZ;9}  
        '************************************************************************* ;G.m;5A  
        'Pupil diameter a9GOY+;bf  
        '************************************************************************* FhB^E$r%  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) Rg&6J#h  
    x8T5aS  
        'Adjust pupil diameter (trimming volume inner hole) SaEe7eHd  
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        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" Gvt.m&_  
    tg~&kaz  
        ' Adjust pupil location to just in front of the lens qEE3 x>&T]  
        parID = FindFullName( "Geometry.Arizona Eye" ) vi6EI wZG  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) A.vcE  
        count = 0 a4,bP*H  
        While GetOperationCount(eID)>count v&(X& q  
            GetOperation eID, count, op J+&AtGq]u  
            If op.Type="ShiftZ" Then -p>KFHj6  
                DeleteOperation eID,count h*hV  
                count=count-1 l)z15e5X  
            End If jh]wHG  
            count=count+1 r2.87  
        Wend .i/]1X*;r^  
        op.Type = "ShiftZ" ~}4o=O(  
        op.val1 = taq-0.01 -!MDYj+U  
        op.parent = parID )dLESk  
        AddOperation eID, op BzA(yCu$:  
    8N(bLGUG  
        Print "Set pupil diameter = " & pupilDiam g\ @nA4  
    t1B0M4x9  
        'Update AZ Eye subassembly Description d\, 4Wet;#  
        eID = FindFullName( "Geometry.Arizona Eye" ) 1 X2oz  
        GetEntity eID, entity y wk;  
        entity.Description = "Accommodation = " & A & "D" =rgWO n8  
        SetEntity eID, entity _\"P<+!  
    (k M\R|  
        Update nl5K1!1  
        Print "DONE!" )1j~(C)E8  
         !j4C:L3F  
    End Sub S#+G?I3w  
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    如果屈光度是4,光瞳直径是4,则会输出如下数据: ]Vl5v5_  
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    Accommodation = 4 Diopters dWD,iO_"@  
    Pupil Diameter = 4 mm %8$JL=c  
    Set aqueous humor thickness = 2.81 R^](X*  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 ~A8lvuw3  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 uA!T@>vl  
    Set lens thickness = 3.927 A>>@&c:(  
    Set lens index of refraction = 1.42672 Eg-b5Z);  
    Set pupil diameter = 4 Di*+Cz;gK  
    DONE! Z6>:k,-Ot  
    =oT@h 9VI  
    ~uC4>+dk  
    QQ:2987619807 +@%9pbM"z  
     
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