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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 {K/xI  
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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。 a][Tb0Ox  
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    模型 d,j)JnY3V  
    ?#ywUEY* i  
    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。 {;JFoe+  
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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. akgvV~5  
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    光源 "!Hm.^1  
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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。 o1 &Oug  
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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。 q\fai^_  
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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。 `DP4u\6_  
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    图2. 字母F光源的设定方法光 Jy]}'eE?pr  
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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 cT'<,#^/  
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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。 :&O6Y-/B  
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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。 m&6)Vt  
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    图5. 视网膜重点采样规格设定
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    脚本 j sw0"d(  
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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: W -5wjc  
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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。 "nn>I}jK  
    余下的脚本计算与屈光度有关的所有参数。 7{u1ynt   
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    分析 #)<WQZ)  
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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。 e5m-7{h@  
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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 ^36m$J$  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. OQby=}A  
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    Dim entity As T_ENTITY rp,PhS  
    Dim op As T_OPERATION UE%~SVi.#  
    Dim mat As T_MODELMATERIAL <0^L L  
    Dim A As Double /Os;,g  
    Dim pupilDiam As Double *Zk$P.]  
    Dim eID As Long $N17GqoC  
    Dim parID As Long !" 7ip9a  
    Dim count As Integer |),3`*N  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double J~1 =?</  
    Dim tlens As Double, nlens As Double 3Qoa ?*  
    Dim curv As Double, conic As Double Eza B}BLQ9  
    Dim ok As Long vKcc|#  
    )|i]"8I  
    Sub Main uSn<]OrZo`  
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        '用户输入对话框 SXm Hn.?  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 ; Uf]-uS  
            TextBox 220,21,40,21,.TextBox1 'default: 0 9A9yZlt  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 6 2#dSd}HG  
            OKButton 40,91,90,21 @m(ja@YC  
            CancelButton 190,91,90,21 |a[Id  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 u MM?s?q  
            TextBox 220,49,40,21,.TextBox2 'default: 4 !TdbD56  
        End Dialog xO` O$ie  
        Dim dlg As UserDialog {qjw  S1v  
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        ok = Dialog (dlg) *u`[2xmuYf  
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        If ok=0 Then    'cancel button was pressed ;bxL$1  
            Print "Execution cancelled." xr'gi(.o  
            End d (8X?k.S  
        End If $ -n?q w  
    ]2o?Gnn@  
        'Assign accommodation and pupil diameter & use defaults if field left empty I~P]_D mM  
        If dlg.TextBox1 = "" Then W_P&;)E  
            A = 0           'Default accommodation s.uV,E*wu  
        Else sT|FgB  
            A = CDbl(dlg.TextBox1) j_2yTz"G-  
        End If ~^pV>>LX|  
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        If dlg.TextBox2 = "" Then pSlosv(6  
            pupilDiam = 4   'Default pupil diameter a jyuk@  
        Else tHV81F1J  
            pupilDiam = CDbl(dlg.TextBox2) ('7qJkV  
        End If GH!Lu\y\  
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        Print " " [#Y7iN&  
        Print "Accommodation = " & A & " Diopters" XrD@q  
        Print "Pupil Diameter = " & pupilDiam & " mm" xsIuPL#_  
    o?l9$"\sqb  
        ' Calculate new parameters with accommodation BVk&TGa;[$  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness S>s{t=AY~  
    %uWq)D4r  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens U4hFPK<  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens !E+.(  
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        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens Xitsb f=Gg  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens G`1FD  
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        tlens = 3.767 + 0.04*A                  'Lens thickness +vh 4I  
    ;"77? )  
        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction D[ -Gzqh  
    > R5<D'cEN  
        'Adjust parameters to account for accommodation orcPKCz|"  
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        '************************************************************************* k&h3"  
        'Aqueous thickness (Position of Lens) {BA1C (  
        '************************************************************************* qz .{[ l  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) )LP=IT  
        GetCustomElement eID, entity z|:3,$~sN  
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        parID = FindFullName( "Geometry.Arizona Eye" ) CtO`t5  
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        ' Delete any shift(s) in z LyB &u( )  
        count = 0 1D/9lR,  
        While GetOperationCount(eID)>count r(#]Z   
            GetOperation eID, count, op d?uN6JH9  
            If op.Type="ShiftZ" Then sD[G?X  
                DeleteOperation eID,count YA vOV-L  
                count=count-1 E0Y>2HOuL  
            End If 0$~zeG"  
            count=count+1 XpLK0YI  
        Wend X pH]CF  
    muc>4!Q  
        'Set new shift in p*_^JU(<p  
        op.Type = "ShiftZ" ~rWys=  
        op.val1 = taq Vk>m/"  
        op.parent = parID 9Rg|oCP_  
        AddOperation eID, op 4._ U  
        Print "Set aqueous humor thickness = " & taq-0.55 [Pnk@jIk4  
    G2A^+R0\  
        '************************************************************************* GV1SKa  
        'Radius and conic constant of anterior lens B?c n5  
        '************************************************************************* <^APq8>  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) Ob"48{w$  
        GetConic eID, entity, curv, conic X4"D Lt"  
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        SetConic eID, entity, 1/Rant, CCant Sl?@c/Ng  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant ?=22@Q}g  
    KG! W,tB  
        '************************************************************************* $Z!$E,@c  
        'Radius and conic constant of posterior lens 1+f>tv  
        '************************************************************************* F"k.1.  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) #@*;Y(9Ol  
        GetConic eID, entity, curv, conic Ch~2w)HAA  
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        SetConic eID, entity, 1/Rpost, CCpost P}AfXgr  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost z)Is:LhS  
    &ZmHR^Flz  
        '************************************************************************* Y2)2 tzr]  
        'Lens thickness (Position of posterior lens surface) {Gd<+tQg  
        '************************************************************************* _.ny<r:g  
    U=<d;2N#  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) COF_a%  
    )_vE"ryThA  
        ' Delete any z-shift(s) PW[NW-S`c  
        count = 0 U',9t  
        While GetOperationCount(eID)>count J(%Jg  
            GetOperation eID, count, op LZ97nvK  
            If op.Type="ShiftZ" Then Y_H|Fl^  
                DeleteOperation eID,count k|Hxd^^I  
                count=count-1 HR/"Nwr  
            End If :2qUel\PEC  
            count=count+1 $!(J4v=X  
        Wend b?p_mQKtZ  
    w}OJ2^  
        'Set new z-shift *5\k1-$  
        op.Type = "ShiftZ" V8aLPJ0_  
        op.val1 = tlens L7_qs+  
        op.parent = parID eX;Tufe*(Q  
        AddOperation eID, op 3M;[.b  
        Print "Set lens thickness = " & tlens ~F</ s.  
    &m>yY{ be  
        '************************************************************************* 4z_>CiA  
        'Lens index of refraction X"S-f; b#  
        '************************************************************************* N^G:m~>  
        eID = FindMaterial( "Lens" ) 8f^QO:  
        GetModelMaterial eID, mat PWwz<AI+  
    "1<>c/h  
        mat.Nd = nlens ;Y&<psQeb  
        SetModelMaterial eID, mat !L+4YA  
        Print "Set lens index of refraction = " & nlens d:U2b"k=/u  
    QWo_Zg0"  
        '************************************************************************* wTpjM@F?J|  
        'Pupil diameter 9^;)~ G  
        '************************************************************************* HG1)q\Xd  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) DE{tpN  
    muAI$IRR   
        'Adjust pupil diameter (trimming volume inner hole) 36NENzK  
    ]6`]+&  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" rRTAWAs%T  
    b'D|p/)m0S  
        ' Adjust pupil location to just in front of the lens FmRCTH  
        parID = FindFullName( "Geometry.Arizona Eye" ) WBo|0(#  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) `)9nBZ  
        count = 0 W[5a'}OV  
        While GetOperationCount(eID)>count ;1S~'B&1Q  
            GetOperation eID, count, op i2a""zac  
            If op.Type="ShiftZ" Then uxGY/Zf  
                DeleteOperation eID,count 5 A/[x $q  
                count=count-1 &\3k(j  
            End If =@98Gl9!  
            count=count+1 /rKdxsI*  
        Wend c.-/e u^|  
        op.Type = "ShiftZ" 20 j9~+  
        op.val1 = taq-0.01 Q7 dXTS4H  
        op.parent = parID bNUb  
        AddOperation eID, op 7^{M:kYC!  
    *rY@(|  
        Print "Set pupil diameter = " & pupilDiam aoLYw 9  
    xQ4'$rL1d  
        'Update AZ Eye subassembly Description Y9b|lP7!  
        eID = FindFullName( "Geometry.Arizona Eye" ) ]Iku(<*Ya  
        GetEntity eID, entity mA ^[S.!  
        entity.Description = "Accommodation = " & A & "D" th@a./h"  
        SetEntity eID, entity "bO\Wt#Mf  
    %i7bkdcwk  
        Update @yBg)1AL  
        Print "DONE!" %J*z!Fe8s  
         ;#3l&HRKH1  
    End Sub *O>OHX  
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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: `$IuN *  
    M;BDo(1  
    Accommodation = 4 Diopters &WSxg&YG)\  
    Pupil Diameter = 4 mm zJp}JO  
    Set aqueous humor thickness = 2.81 CNC3">Dk~9  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 hXsd12  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 #Y*?k TF  
    Set lens thickness = 3.927 7j9:s>D  
    Set lens index of refraction = 1.42672 >900I4]I  
    Set pupil diameter = 4 kB|j N~  
    DONE! E7A psi4]  
     
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