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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 +] .Zs<  
    :ziV3jRM  
    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。 FBR]) h'Z  
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    模型 mo$`a6[h<  
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    模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 4}4K6y<q  
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    Table 1. AZ眼睛模型的定义
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    在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. ^hpdre"  
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    光源 mihR *8p  
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    多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 G<S(P@ss  
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    图1. 光源和提示信息使用
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    除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 TT'sO[N[  
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    在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 @F+zME   
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    图2. 字母F光源的设定方法光 :$>Co\D  
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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 J`&*r;""V  
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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。 O,&nCxB]  
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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。 aCq ) hR  
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    图5. 视网膜重点采样规格设定
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    脚本 N3_rqRd^  
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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: l(o#N'!j4  
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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。 k u@sQn  
    余下的脚本计算与屈光度有关的所有参数。 j~|pSu.<  
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    分析 6`ZHFem  
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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。 'zEmg}  
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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 {0&'XA=j  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. &YSjwRr  
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    Dim entity As T_ENTITY [&tN(K9*  
    Dim op As T_OPERATION z'FpP  
    Dim mat As T_MODELMATERIAL aBBTcN%'  
    Dim A As Double Rxg ^vM*  
    Dim pupilDiam As Double nB; yS<  
    Dim eID As Long bJ~@ k,'  
    Dim parID As Long _(qU%B  
    Dim count As Integer 4RLuv?,)~  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double 6X2~30pdE  
    Dim tlens As Double, nlens As Double 'b?Px}  
    Dim curv As Double, conic As Double a2'si}'3  
    Dim ok As Long 8P kw'.r  
    'Ti7}K  
    Sub Main 6N6}3J5  
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        '用户输入对话框 &Z.zem?n  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 W)RCo}f  
            TextBox 220,21,40,21,.TextBox1 'default: 0 lY.{v]i }  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 CDNh9`  
            OKButton 40,91,90,21 5._=m"Pl  
            CancelButton 190,91,90,21 da'7* &/  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 55mDLiA  
            TextBox 220,49,40,21,.TextBox2 'default: 4 T6P9Icv?@7  
        End Dialog \Q CH.~]  
        Dim dlg As UserDialog eJ=K*t|  
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        ok = Dialog (dlg) -W#-m'Lvu  
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        If ok=0 Then    'cancel button was pressed /C'dW  
            Print "Execution cancelled." 8 [z<gxP`?  
            End OdZLJt?g  
        End If Po~u-5  
    ;RmL'  
        'Assign accommodation and pupil diameter & use defaults if field left empty q=_&izmE'7  
        If dlg.TextBox1 = "" Then 1L4-hYtCj  
            A = 0           'Default accommodation 2tEA8F~k  
        Else 3 ;N+5*-  
            A = CDbl(dlg.TextBox1) /+11`B09  
        End If -F]0Py8(  
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        If dlg.TextBox2 = "" Then !6yyX}%o  
            pupilDiam = 4   'Default pupil diameter S7I8BS[*v  
        Else _olhCLIR-  
            pupilDiam = CDbl(dlg.TextBox2) Ot^<:\< `G  
        End If 4X()D {uR  
    , :10  
        Print " " 0c pI2  
        Print "Accommodation = " & A & " Diopters" EYsf<8cl  
        Print "Pupil Diameter = " & pupilDiam & " mm" lrE|>R  
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        ' Calculate new parameters with accommodation ? >\JX  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness ,.g9HO/R1  
    +Vf39}8  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens %+1;iuDL  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens x+X^K_*  
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        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens )=PmHUd  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens `akbzHOM  
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        tlens = 3.767 + 0.04*A                  'Lens thickness AzfYw'^&9  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction ?)60JWOJ1  
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        'Adjust parameters to account for accommodation bSKe@4C  
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        '************************************************************************* ,^>WC G  
        'Aqueous thickness (Position of Lens) 1 Ar6hA  
        '************************************************************************* ,)CRozC\}K  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) Hy_}e"  
        GetCustomElement eID, entity fG^#G/n2  
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        parID = FindFullName( "Geometry.Arizona Eye" ) 9T#JlV  
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        ' Delete any shift(s) in z Za&.sg3RG  
        count = 0 B F,rZZL  
        While GetOperationCount(eID)>count s*XwU  
            GetOperation eID, count, op =N +Ou5D  
            If op.Type="ShiftZ" Then o C5}[cYD`  
                DeleteOperation eID,count #fb <\!iza  
                count=count-1 fuwv,[m  
            End If neHozmm|  
            count=count+1 $_5@ NOZ,M  
        Wend ,IODV`L  
    +yh-HYo`  
        'Set new shift in Vd'KN2Jm  
        op.Type = "ShiftZ" UT^-!L LB]  
        op.val1 = taq |.s#m^"  
        op.parent = parID K?4/x4p@  
        AddOperation eID, op Dn}Wsd=  
        Print "Set aqueous humor thickness = " & taq-0.55 e2onR~Cf  
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        '************************************************************************* 77:s=)   
        'Radius and conic constant of anterior lens nhUL{ER  
        '************************************************************************* oQkY@)3.w  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) F$;vPAxbK"  
        GetConic eID, entity, curv, conic 1o;*`  
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        SetConic eID, entity, 1/Rant, CCant p PF]&:&-b  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant 0>E0}AvkT  
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        '*************************************************************************  h,D6MP  
        'Radius and conic constant of posterior lens s`bC?wr5h  
        '************************************************************************* xyoh B#'W  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) /pa8>_,~  
        GetConic eID, entity, curv, conic [\j@_YYd  
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        SetConic eID, entity, 1/Rpost, CCpost T%Vg0Y)P;  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost wR"4slY_%  
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        '************************************************************************* m-~eCFc  
        'Lens thickness (Position of posterior lens surface) ()E:gq Q  
        '************************************************************************* 7jb{E+DrG  
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        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) ;T|y^D  
    V!'N:je  
        ' Delete any z-shift(s)  n(mS  
        count = 0 pY3N7&m\:  
        While GetOperationCount(eID)>count eBK s-2r  
            GetOperation eID, count, op gAx8r-` `  
            If op.Type="ShiftZ" Then "dKYJ&$  
                DeleteOperation eID,count . k6)  
                count=count-1 )P{I<TBI;  
            End If UL/|!(s  
            count=count+1 yqg&dq  
        Wend HzO6hb{jJO  
    {(DD~~)D  
        'Set new z-shift !eoN  
        op.Type = "ShiftZ" ^UF]%qqOn  
        op.val1 = tlens M!=WBw8Y]a  
        op.parent = parID 2C@hjw(  
        AddOperation eID, op [_3Rhp:  
        Print "Set lens thickness = " & tlens [\hk_(}  
    qM`XF32A$  
        '************************************************************************* $RQ7rL3g{  
        'Lens index of refraction u5f+%!p  
        '************************************************************************* 5(/ 5$u   
        eID = FindMaterial( "Lens" ) oCLs"L-r{  
        GetModelMaterial eID, mat =5P_xQx  
    QK5y%bTSA  
        mat.Nd = nlens ." m6zq  
        SetModelMaterial eID, mat !;SpQ28  
        Print "Set lens index of refraction = " & nlens eQk ~YA]K  
    ub "(,k P  
        '************************************************************************* zS Yh ?NB5  
        'Pupil diameter ZCQ7xQD  
        '************************************************************************* 7'[C+/:  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) HQ%-e5Q  
    $*| :A  
        'Adjust pupil diameter (trimming volume inner hole) (D'Z4Y  
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        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" n6gYZd  
    c<V.\y0x  
        ' Adjust pupil location to just in front of the lens mT.p-C  
        parID = FindFullName( "Geometry.Arizona Eye" ) Fj9/@pe1  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) p}KZ#"Q  
        count = 0 _tR%7%3*  
        While GetOperationCount(eID)>count &jgpeFiiC  
            GetOperation eID, count, op @:@0}]%z9  
            If op.Type="ShiftZ" Then *G^n<p$"  
                DeleteOperation eID,count l`2X'sw[/  
                count=count-1 eNlE]W,=  
            End If 6 ^X$;  
            count=count+1 5/Ng!bW  
        Wend <zN  
        op.Type = "ShiftZ" =*.Nt*;;  
        op.val1 = taq-0.01 V1KWi ^  
        op.parent = parID 47_4`rzy;  
        AddOperation eID, op dbkccO}WB  
    $]CZ]EWts  
        Print "Set pupil diameter = " & pupilDiam DBl.bgf  
    Xj^6ZJc  
        'Update AZ Eye subassembly Description L<>;E  
        eID = FindFullName( "Geometry.Arizona Eye" ) 'sJ=h0d_[V  
        GetEntity eID, entity 'Y+AU#1~H  
        entity.Description = "Accommodation = " & A & "D" Wh%qvV6]  
        SetEntity eID, entity y D.S"  
    v{ .-x\;  
        Update 09"C&X~  
        Print "DONE!" R@``MC0  
         /)SwQgK#  
    End Sub B&0^3iKFi  
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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: rE"`q1b#  
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    Accommodation = 4 Diopters ]GYO`,  
    Pupil Diameter = 4 mm &I.UEF2,  
    Set aqueous humor thickness = 2.81 -6MgC9]  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 OpY2Z7_  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 XM3N>OR.  
    Set lens thickness = 3.927 <ns[( Q  
    Set lens index of refraction = 1.42672 4KE"r F  
    Set pupil diameter = 4 1)u 3  
    DONE! 2O {@W +Mt  
     
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