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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 ~'{VaYk]v  
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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。 D-D #`  
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    模型 #G~wE*VR$  
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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。 f}blB?e  
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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. 23k)X"5  
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    光源 E4Zxv*  
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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。 '}CN?f|.  
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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。 ;t~*F#p(!  
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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。 0}D-KvjyP  
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    图2. 字母F光源的设定方法光 ajGcKyj8i  
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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 C$t.C rxx  
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    在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 [bsXF#  
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    图4. 视网膜朗伯散射设定
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    注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 r(]98a]o~  
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    图5. 视网膜重点采样规格设定
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    脚本 _TrZ'iL}T  
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    内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: B_!wutV@  
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    图6. 用户对话框的创建与编辑
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    图7. 用户对话框编辑器
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    如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 "~_$T@^k>  
    余下的脚本计算与屈光度有关的所有参数。 3Fgz)*Gu]  
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    分析 WejyYqr34-  
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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。 gt~9"I  
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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 'frWu6]< 4  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. 7&h\l6}Yh  
    z1kBNOr  
    Dim entity As T_ENTITY (VfwLo>#  
    Dim op As T_OPERATION - Sx0qi'%  
    Dim mat As T_MODELMATERIAL l},dQ4R  
    Dim A As Double Ndo}Tk!  
    Dim pupilDiam As Double eU`;L [  
    Dim eID As Long )4@M`8  
    Dim parID As Long &ycjSBK  
    Dim count As Integer Kq$:\B)<c  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double j,\tejl1  
    Dim tlens As Double, nlens As Double Wa(W&]  
    Dim curv As Double, conic As Double KuIkul9^%  
    Dim ok As Long [?A&xqO3  
    $|rCrak;  
    Sub Main =n)JJS94  
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        '用户输入对话框 AbL5 !'  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 w8G7Jy  
            TextBox 220,21,40,21,.TextBox1 'default: 0 :wFb5"  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 e jP,29  
            OKButton 40,91,90,21 1]"D%U=  
            CancelButton 190,91,90,21 H3!,d`D.N  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 pi|\0lH6W  
            TextBox 220,49,40,21,.TextBox2 'default: 4 52da]BW<  
        End Dialog ,<7"K&  
        Dim dlg As UserDialog f+{c1fb>s  
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        ok = Dialog (dlg) 2=jd;2~  
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        If ok=0 Then    'cancel button was pressed hT.4t,wa8  
            Print "Execution cancelled." f;e_04K  
            End )ZQHa7V  
        End If JtSuD>H`"  
    @m5O{[euj<  
        'Assign accommodation and pupil diameter & use defaults if field left empty S4;wa6  
        If dlg.TextBox1 = "" Then i:C.8hmAE  
            A = 0           'Default accommodation  -PcS(  
        Else -FQC9~rR;g  
            A = CDbl(dlg.TextBox1) %=laY_y G  
        End If W,xi> 5k  
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        If dlg.TextBox2 = "" Then r3n=<l!Jr  
            pupilDiam = 4   'Default pupil diameter =9kj? u~  
        Else es. jh  
            pupilDiam = CDbl(dlg.TextBox2) s;vWR^Ll  
        End If P h9Hg'  
    VI(RT-S6  
        Print " " kEp.0wL'  
        Print "Accommodation = " & A & " Diopters" ,h3269$J  
        Print "Pupil Diameter = " & pupilDiam & " mm" OG0r4^6Ly  
    co \[{}}  
        ' Calculate new parameters with accommodation K#_~ !C4L  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness b{Z^)u2X  
    xR\D(FLV S  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens m"96:v  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens W Atg  
    }@3Ud ' Y  
        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens jjJc1p0  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens xnJjCEZ  
    j)g_*\tQ  
        tlens = 3.767 + 0.04*A                  'Lens thickness C!oS=qK?]  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction }wvwZ`5t  
    2z'+1+B'  
        'Adjust parameters to account for accommodation *LY~l  
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        '************************************************************************* 8 m%>:}o  
        'Aqueous thickness (Position of Lens) h$E\2lsE  
        '************************************************************************* kWzuz#  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) ap Fs UsE  
        GetCustomElement eID, entity yw;ghP;  
    '"!z$i~G=  
        parID = FindFullName( "Geometry.Arizona Eye" ) "6NFe!/Y$*  
    _fczE~O/  
        ' Delete any shift(s) in z 4^ d+l.F  
        count = 0 1x~%Ydy  
        While GetOperationCount(eID)>count b:N^Fe  
            GetOperation eID, count, op ?b!CV   
            If op.Type="ShiftZ" Then bBkm]  >  
                DeleteOperation eID,count [W^6u7~  
                count=count-1 \>*MMe  
            End If 'Qm` A=  
            count=count+1 u=p ;A1oy  
        Wend aukk|/3Ih  
    Z! C`f/h9  
        'Set new shift in 2ApDpH`fiJ  
        op.Type = "ShiftZ" +-Z"H)  
        op.val1 = taq *u|lmALs  
        op.parent = parID Cfv L)f  
        AddOperation eID, op v#Cz&j  
        Print "Set aqueous humor thickness = " & taq-0.55 {-xi0D/Y;  
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        '************************************************************************* t9Enk!@  
        'Radius and conic constant of anterior lens ikEWY_1Y  
        '************************************************************************* ua]\xBWx  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) 5}.,"Fbr  
        GetConic eID, entity, curv, conic )LXoey!aZ  
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        SetConic eID, entity, 1/Rant, CCant "E@NZ*"u  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant KuIt[oM  
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        '************************************************************************* 1kB'sc3N!  
        'Radius and conic constant of posterior lens Yv#J`b@y  
        '************************************************************************* ]y1$F Ir+  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) s)=!2AY  
        GetConic eID, entity, curv, conic l>3M|js@/  
    )0 Y #-=.<  
        SetConic eID, entity, 1/Rpost, CCpost mhHA!:Y  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost Z^/z  
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        '************************************************************************* dCf'\ @<<  
        'Lens thickness (Position of posterior lens surface) D\45l  
        '************************************************************************* H{ n>KZ]\  
    &y#\1K  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) I2t-D1X  
    !#,-  
        ' Delete any z-shift(s) B|]t\(~$ [  
        count = 0 7AGZu?1]M  
        While GetOperationCount(eID)>count [M7iJcwt  
            GetOperation eID, count, op pz*/4  
            If op.Type="ShiftZ" Then Jf %!I  
                DeleteOperation eID,count d vg;  
                count=count-1 mr{k>Un\  
            End If ;w>3,ub(0  
            count=count+1 hQg,#r(JE4  
        Wend ~cO?S2!W  
    ])Q9=?Sd}  
        'Set new z-shift OEy:#9<'  
        op.Type = "ShiftZ" _g^K$+F'}  
        op.val1 = tlens {a+Fx}W  
        op.parent = parID 2R_opbw  
        AddOperation eID, op K]H"qG.K  
        Print "Set lens thickness = " & tlens 3<KZ.hr  
    G:h;C].  
        '************************************************************************* \jF" nl  
        'Lens index of refraction KV^:sxU  
        '************************************************************************* 7})!>p )  
        eID = FindMaterial( "Lens" ) IEIxjek  
        GetModelMaterial eID, mat .v #0cQX+.  
    jt'Y(u]2  
        mat.Nd = nlens V:,3OLL*  
        SetModelMaterial eID, mat ,%)WT>  
        Print "Set lens index of refraction = " & nlens WQIM2_=M  
    @,y FY  
        '************************************************************************* eu}:Wg2  
        'Pupil diameter ?j&~vy= T  
        '************************************************************************* ?FY@fO?es  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) 26('V `N  
    0btmao-  
        'Adjust pupil diameter (trimming volume inner hole) -tK;RQYax  
    "EOk^1,y  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" m5'__<  
    Q?Bj q>  
        ' Adjust pupil location to just in front of the lens ) <}VP&:X  
        parID = FindFullName( "Geometry.Arizona Eye" ) .=b +O~  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) XqE55Jclp  
        count = 0 >PTu*6Z  
        While GetOperationCount(eID)>count d 40'3]/{  
            GetOperation eID, count, op T|BY00Sz`  
            If op.Type="ShiftZ" Then IJ #v"! D  
                DeleteOperation eID,count cOZajC<G  
                count=count-1 \J3v>&m<7  
            End If ys.!S.k+  
            count=count+1 %`s9yRk9>E  
        Wend dp//p)B>  
        op.Type = "ShiftZ" \fM!^  
        op.val1 = taq-0.01 V%{ 9o  
        op.parent = parID 5EV8zf  
        AddOperation eID, op e $/Zb`k  
    2\z`G  
        Print "Set pupil diameter = " & pupilDiam W"}*Q -8W  
    )qe$rD;N  
        'Update AZ Eye subassembly Description soQv?4  
        eID = FindFullName( "Geometry.Arizona Eye" ) H,4,~lv|  
        GetEntity eID, entity K&Wv.}=V  
        entity.Description = "Accommodation = " & A & "D" e~2*> 5\:  
        SetEntity eID, entity  ZZFI\o  
    zOu$H[  
        Update M*T# 5  
        Print "DONE!" *2m&?,nJ  
         !3X%5=#L4  
    End Sub v;F+fOo  
    /J9T=N  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: 0R%uVJG  
    bbPd&7  
    Accommodation = 4 Diopters 7"CH\*%  
    Pupil Diameter = 4 mm ! 4^L $  
    Set aqueous humor thickness = 2.81 q2j}64o _S  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 @=zBF'<.9  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 Kj<<&_B.H  
    Set lens thickness = 3.927 [%)B%h`XGf  
    Set lens index of refraction = 1.42672 {;z L[AgCg  
    Set pupil diameter = 4 ae(]9VW  
    DONE! @SQ*/sw (c  
     
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