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    [技术]Arizona眼睛模型 [复制链接]

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    离线infotek
     
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    只看楼主 倒序阅读 楼主  发表于: 2021-10-22
    简介 ~ya@ YP]';  
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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。 " 3tk"#.#  
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    模型 12LGWhDp  
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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。 ,~*pPhQ8m  
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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. [ XBVES8  
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    光源 %4^NX@1jV  
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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。 AQjf\i  
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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。 p(fL' J  
    :rSCoi>K  
    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。 2g HRfTF  
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    图2. 字母F光源的设定方法光 bzyy;`;6Q~  
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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 yn|U<Hxl~H  
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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。 o2R&s@%0@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。 :=?od 0]W  
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    图5. 视网膜重点采样规格设定
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    脚本 Xk`'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: e/R$Sfj]  
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    图6. 用户对话框的创建与编辑
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    图7. 用户对话框编辑器
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    如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 M a^}7D /  
    余下的脚本计算与屈光度有关的所有参数。 ,m[#<}xXA  
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    分析 ImsyyeY]  
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    屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 JnPwqIF1  
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    图7. 字母F在视网膜上颜色分析
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    脚本代码 l,ic-Y1  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. R c  
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    Dim entity As T_ENTITY KZ 4G"  
    Dim op As T_OPERATION t#2szr+  
    Dim mat As T_MODELMATERIAL D-Q54"^3  
    Dim A As Double @me ( pnD  
    Dim pupilDiam As Double ^?S lM  
    Dim eID As Long Cuc+9  
    Dim parID As Long 9`cj9zz7  
    Dim count As Integer ."j=s#OC(  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double gg@Ew4L&  
    Dim tlens As Double, nlens As Double (l}nwyh5  
    Dim curv As Double, conic As Double o3Z<tI8-V  
    Dim ok As Long E=]$nE]b  
    nZ4@g@e2  
    Sub Main 4F,RlKHBl  
    -IS$1  
        '用户输入对话框 ^zKP5nzL  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 \RmU6(;IQ  
            TextBox 220,21,40,21,.TextBox1 'default: 0 nG7E j#1  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 q3ebps9^  
            OKButton 40,91,90,21 qRCUkw} fs  
            CancelButton 190,91,90,21 T1c& 3  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 3w8v.J8q  
            TextBox 220,49,40,21,.TextBox2 'default: 4 Z9 zsvg  
        End Dialog P.3kcZ   
        Dim dlg As UserDialog +kx#"L:  
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        ok = Dialog (dlg) QJ,~K&?  
    +<'>~lDg  
        If ok=0 Then    'cancel button was pressed b$Q#Fv&P  
            Print "Execution cancelled." ?3do-tTp  
            End nQ;M@k&9eV  
        End If NW~`oc)NS  
    1 }_"2  
        'Assign accommodation and pupil diameter & use defaults if field left empty 8xx2+  
        If dlg.TextBox1 = "" Then F@1Eg  
            A = 0           'Default accommodation ;eC8| Xz  
        Else M<ba+Qn$  
            A = CDbl(dlg.TextBox1) <AB({(  
        End If QxiAC>%K  
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        If dlg.TextBox2 = "" Then L DdgI  
            pupilDiam = 4   'Default pupil diameter J )UCy;Y  
        Else K}tC8D  
            pupilDiam = CDbl(dlg.TextBox2) C:RA(  
        End If jBJ|%K M  
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        Print " " R2y~+tko?  
        Print "Accommodation = " & A & " Diopters" -NUA  
        Print "Pupil Diameter = " & pupilDiam & " mm" ^\w!D{Y7Q  
    <1E5[9 q  
        ' Calculate new parameters with accommodation ^`fqK4<  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness @UW*o&pGqL  
    &'c&B0j  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens 5$c*r$t_RK  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens w5q'M  
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        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens nw=:+?  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens gCaxZ~o  
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        tlens = 3.767 + 0.04*A                  'Lens thickness B dxV [SF  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction {$'oKJy*  
    .:iO$wjp5  
        'Adjust parameters to account for accommodation 8YO` TgW  
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        '************************************************************************* uOb}R   
        'Aqueous thickness (Position of Lens) y>& s;  
        '************************************************************************* Duq.`XO  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) #./8inbG  
        GetCustomElement eID, entity 7%i6zP /a  
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        parID = FindFullName( "Geometry.Arizona Eye" ) OGPrjL+  
    #X*=oG  
        ' Delete any shift(s) in z wcW}Sv[r  
        count = 0 59k-,lyU,  
        While GetOperationCount(eID)>count <'vtnz  
            GetOperation eID, count, op 0|FQIhVuY  
            If op.Type="ShiftZ" Then +uMK_ds~  
                DeleteOperation eID,count +g% Ah  
                count=count-1 'Xg9MS&  
            End If ^o Q^/v~  
            count=count+1 *[tLwl.  
        Wend F*=}}H/  
    D "X`qF6U7  
        'Set new shift in |],ocAN{  
        op.Type = "ShiftZ" % r0AhWv  
        op.val1 = taq 5/i]Jni  
        op.parent = parID wZ/ b;%I!  
        AddOperation eID, op ig4mj47wJ  
        Print "Set aqueous humor thickness = " & taq-0.55 'V} 4_3#q  
    bP{uZnOM2P  
        '************************************************************************* jWh}cM=  
        'Radius and conic constant of anterior lens XVY j X  
        '************************************************************************* .%_=(C< E  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) Yn8aTg[J  
        GetConic eID, entity, curv, conic s^GE>rf  
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        SetConic eID, entity, 1/Rant, CCant k9iB-=X?4s  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant E 7"`D\*  
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        '************************************************************************* d? 4-"9Y  
        'Radius and conic constant of posterior lens + EM^  
        '************************************************************************* B{cb'\ C  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) I->4Q&3  
        GetConic eID, entity, curv, conic "K#zY~>L  
    m]/s R3yF  
        SetConic eID, entity, 1/Rpost, CCpost sF p% T4j  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost {Zf 9} !qF  
    9l}G{u9a  
        '************************************************************************* N6!$V7oT  
        'Lens thickness (Position of posterior lens surface) Hs(U|BXU  
        '************************************************************************* ^ 4{"h  
    -PskUl'  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) pSS8 %r%S'  
    b!z kQ?h  
        ' Delete any z-shift(s) aaFt=7(K  
        count = 0 ?Z"<&tsZ  
        While GetOperationCount(eID)>count %Su,  
            GetOperation eID, count, op ,\D* =5  
            If op.Type="ShiftZ" Then pFwhv w  
                DeleteOperation eID,count `h$^=84  
                count=count-1 NSQ#\:3:S  
            End If a VIh|v  
            count=count+1 Wh1'?#  
        Wend OLyl.#J  
    #~6au6LMC  
        'Set new z-shift | gP%8nh'C  
        op.Type = "ShiftZ" G*rlU  
        op.val1 = tlens !Bn,f2  
        op.parent = parID ;<nQl,2N  
        AddOperation eID, op T7j,%ay9  
        Print "Set lens thickness = " & tlens ,=`iQl3(y/  
    T&s}~S=m  
        '************************************************************************* S/xCX!  
        'Lens index of refraction ,2lH*=m;  
        '************************************************************************* Ep1p>s^  
        eID = FindMaterial( "Lens" ) w*B4>FYg  
        GetModelMaterial eID, mat ?m dGMf)  
    gR@,"6b3  
        mat.Nd = nlens %q_b\K  
        SetModelMaterial eID, mat 5DnX8t+d  
        Print "Set lens index of refraction = " & nlens Ys@G0}\3G  
    x4;ndck%U  
        '************************************************************************* [M&.'X  
        'Pupil diameter eT Z2f  
        '************************************************************************* jQ9i<-zc  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) */A ~lR|  
    z;6,,  
        'Adjust pupil diameter (trimming volume inner hole) 70yM]C^  
    c^`(5}39v  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" Yo[Pu< zR  
    _4~q&? }V  
        ' Adjust pupil location to just in front of the lens QLOcgU^  
        parID = FindFullName( "Geometry.Arizona Eye" ) =Bb/Y`Q  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) {qL}:ha?  
        count = 0 8&UwnEk<  
        While GetOperationCount(eID)>count s!WI:E7  
            GetOperation eID, count, op l$3YJ.n|s~  
            If op.Type="ShiftZ" Then "wj-Qgz  
                DeleteOperation eID,count n+:}p D  
                count=count-1 Wtqv  
            End If 1eMz"@ Q9  
            count=count+1 hO0g3^  
        Wend tW} At  
        op.Type = "ShiftZ" 6tv-PgZ  
        op.val1 = taq-0.01 m! _*Q  
        op.parent = parID vDcYz,  
        AddOperation eID, op -1c{Jo  
    &~#y-o"  
        Print "Set pupil diameter = " & pupilDiam !TeI Jm/l  
    &20}64eW%  
        'Update AZ Eye subassembly Description _Sn45h@"  
        eID = FindFullName( "Geometry.Arizona Eye" ) tLo_lLn*~%  
        GetEntity eID, entity J0,;F9<C#X  
        entity.Description = "Accommodation = " & A & "D" .lyK ,p  
        SetEntity eID, entity q o tWWe#  
    gPw{'7'U  
        Update d .t$VRO  
        Print "DONE!" 10W6wIqK  
         ! ,&{1p  
    End Sub v5dLjy5  
     :C9vs  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: D%!GY1wdn  
    ^Rc*X'Iz(!  
    Accommodation = 4 Diopters [ %6(1$Ih  
    Pupil Diameter = 4 mm -mY,nMDb  
    Set aqueous humor thickness = 2.81 ;T*o RS  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 k`h#.B J  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 Ji7<UJ30x  
    Set lens thickness = 3.927 YK%rTbB(  
    Set lens index of refraction = 1.42672 6gTc)rhRT  
    Set pupil diameter = 4 ^b^}6L'Z  
    DONE! i:\|G^h  
     
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