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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 CNefk$/cR  
    RARA_tii  
    人眼光学模型可用来设计眼科用设备,光学系统注定了要与人眼一起使用。本文演示了这样一个模型:Arizona眼睛模型,在Jim Schwiegerling教授的书中有详细描述:《Field Guide to Visual and Ophthalmic Optics》。AZ眼睛模型达到了基于平均临床数据所决定的轴上和轴外像差等级。FRED文件包含了此眼睛模型及几个用来分析它的光源,并包括一个基于想要的屈光度来调整模型的内嵌脚本。 xy]O8> b  
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    模型 mpug#i6q  
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    模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 [9${4=Kq  
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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. Ba@~:  
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    光源 T2MC`s|`  
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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。 dazNwn  
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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。 m2\\!C]f  
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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。 ZK8)FmT_<O  
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    图2. 字母F光源的设定方法光 K2zln_W  
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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 l.o/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。 T0tX%_6`  
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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。 =G:Krc8w@  
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    图5. 视网膜重点采样规格设定
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    脚本 *'-4%7C`1  
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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: IQPu%n{0v  
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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。 H54RA6$>  
    余下的脚本计算与屈光度有关的所有参数。 wHj 1+W  
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    分析 _d@YLd78P  
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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。 >K9Ia4I,  
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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 $Q/@5f'T`9  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. v0\l~_|H  
    2T&MVl!%  
    Dim entity As T_ENTITY Wk0E7Pr  
    Dim op As T_OPERATION qLmzA@Cv  
    Dim mat As T_MODELMATERIAL { LvD\4h"  
    Dim A As Double r%.k,FzGZY  
    Dim pupilDiam As Double }=/zG!+  
    Dim eID As Long W#F9Qw  
    Dim parID As Long ?XHQdN3e  
    Dim count As Integer D5lQ0_IeW  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double eM<N?9s  
    Dim tlens As Double, nlens As Double cW:y^(Xii  
    Dim curv As Double, conic As Double >9{?&#]x  
    Dim ok As Long GOc   
    ;;,7Jon2  
    Sub Main Me .I>7c  
    duG3-E  
        '用户输入对话框 pN[WYM?[  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 ^X96yj'?  
            TextBox 220,21,40,21,.TextBox1 'default: 0 SboHo({5VA  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 1C<cwd;9  
            OKButton 40,91,90,21 f!x9%  
            CancelButton 190,91,90,21 1B4Qj`:+0  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 x(Bt[=,K3  
            TextBox 220,49,40,21,.TextBox2 'default: 4 6$R9Y.s>Z  
        End Dialog /f#b;qa,  
        Dim dlg As UserDialog ;ek*2Lh  
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        ok = Dialog (dlg) eN=jWUoCh  
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        If ok=0 Then    'cancel button was pressed '#+&?6p  
            Print "Execution cancelled." Z mJ<h&  
            End OXEEpoU?V  
        End If p3M!H2W  
    ;M3%t=KV  
        'Assign accommodation and pupil diameter & use defaults if field left empty %zcA|SefP  
        If dlg.TextBox1 = "" Then VE+H! ob A  
            A = 0           'Default accommodation h$02#(RHJ  
        Else izl6L  
            A = CDbl(dlg.TextBox1) ' h7Faj  
        End If RrMEDMhk6  
    >jI.$%L$  
        If dlg.TextBox2 = "" Then 0fOhCxtL@  
            pupilDiam = 4   'Default pupil diameter }X)vktE+|  
        Else cXb*d|-|N  
            pupilDiam = CDbl(dlg.TextBox2) 1@|+l!rYF  
        End If 4,)9@-|0R  
    UY(T>4H+h  
        Print " " X!]v4ma`  
        Print "Accommodation = " & A & " Diopters" (7R?T}  
        Print "Pupil Diameter = " & pupilDiam & " mm" -Uo11'{  
    h5P_kZJ  
        ' Calculate new parameters with accommodation qfDG.Zee#  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness 8c9HJ9vk  
    {M**a  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens &r1(1<  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens b > D  
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        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens Jy(G A  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens yx]9rD1cz  
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        tlens = 3.767 + 0.04*A                  'Lens thickness ZwUBeyxS=c  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction i7#4&r  
    11oNlgY&  
        'Adjust parameters to account for accommodation  L8`v  
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        '************************************************************************* ^^b'tP1>  
        'Aqueous thickness (Position of Lens) ~Gfytn9x.;  
        '************************************************************************* 1B;2 ~2X  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) eh9 ?GUr5  
        GetCustomElement eID, entity R;OPY?EeW  
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        parID = FindFullName( "Geometry.Arizona Eye" ) 'n'>+W:  
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        ' Delete any shift(s) in z mh3S?Uc  
        count = 0 /yI4;:/  
        While GetOperationCount(eID)>count O*~,L6# }  
            GetOperation eID, count, op gzs \C{4D  
            If op.Type="ShiftZ" Then "6jt$-?  
                DeleteOperation eID,count zH]oAu=H  
                count=count-1 Tx.N#,T|  
            End If ;I4vPh5Q  
            count=count+1 So 1TH%  
        Wend *)E${\1'<  
    5Y *4a%"  
        'Set new shift in .y s_'F-]0  
        op.Type = "ShiftZ" !y d B,S  
        op.val1 = taq |]< 3cW+  
        op.parent = parID x9 > ho  
        AddOperation eID, op R%jOgZG  
        Print "Set aqueous humor thickness = " & taq-0.55 ga +, P  
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        '************************************************************************* -qP)L;n  
        'Radius and conic constant of anterior lens &Gt{9#  
        '************************************************************************* j.&dHtp  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) _.JQ h   
        GetConic eID, entity, curv, conic 3'z$@ ;Ev+  
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        SetConic eID, entity, 1/Rant, CCant ~0p8joOH  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant Jw]!x1rF~  
    !,`'VQw$  
        '************************************************************************* hju^x8 ,=m  
        'Radius and conic constant of posterior lens U"r*kO%  
        '************************************************************************* u !BU^@P  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) Y+"1'W  
        GetConic eID, entity, curv, conic G=cRdiy`C  
    x {NBhq(4  
        SetConic eID, entity, 1/Rpost, CCpost PLz{EQ[cV  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost hQ|mow@Zmz  
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        '************************************************************************* %tVU Rj  
        'Lens thickness (Position of posterior lens surface) AY52j  
        '************************************************************************* |?88EG@05  
    76w[X=Fv  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) Tksv7*5$  
    )Eozo4~  
        ' Delete any z-shift(s) q9vND[BQ  
        count = 0 !gkr?yhE  
        While GetOperationCount(eID)>count +v B}E  
            GetOperation eID, count, op 3 `_/h' ~  
            If op.Type="ShiftZ" Then  qra XAQ  
                DeleteOperation eID,count 'UX^]  
                count=count-1 B!+c74  
            End If  R[m-jUL  
            count=count+1 ? $/::uo  
        Wend 7rdmj[vu  
    %NkiYiA  
        'Set new z-shift )xcjQkb  
        op.Type = "ShiftZ" ;T^s&/>E  
        op.val1 = tlens $[X][[  
        op.parent = parID )|=1;L  
        AddOperation eID, op ^ |MS2'  
        Print "Set lens thickness = " & tlens G u`xJ  
    @K]`!=vUk  
        '************************************************************************* +<\LY(o  
        'Lens index of refraction kqeEm {I  
        '************************************************************************* xdO3koE:  
        eID = FindMaterial( "Lens" ) ->I.D?p  
        GetModelMaterial eID, mat Cj>HMB}  
    &0T.o,&y  
        mat.Nd = nlens NV./p`k  
        SetModelMaterial eID, mat G `|7NL   
        Print "Set lens index of refraction = " & nlens --]blP7  
    gxO~44"  
        '************************************************************************* {gzQ/|}#z-  
        'Pupil diameter mPA)G,^  
        '************************************************************************* )cH\i91  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) XgxO:"B  
    0gqV>:  
        'Adjust pupil diameter (trimming volume inner hole) 807+|Ol[  
    bg|$1ue  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" +^9^)Ur|  
    UwW@}cy,L  
        ' Adjust pupil location to just in front of the lens H {=]94  
        parID = FindFullName( "Geometry.Arizona Eye" ) Pjh;;k|V  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) DQ0S]:tC  
        count = 0 [lIX&!T"  
        While GetOperationCount(eID)>count g}`g>&l5  
            GetOperation eID, count, op /5E0'y,|P  
            If op.Type="ShiftZ" Then pS8\B  
                DeleteOperation eID,count f8-`bb  
                count=count-1 YAXd   
            End If {eU>E /SQ  
            count=count+1 #eYYu2ND  
        Wend ;X+0,K3c  
        op.Type = "ShiftZ" ;^:8F  
        op.val1 = taq-0.01 &7'=t6  
        op.parent = parID i@:^b_  
        AddOperation eID, op V(cU/Aia^  
    uyEk1)HC  
        Print "Set pupil diameter = " & pupilDiam Q7u|^Gu,5  
    %rB,Gl:)g  
        'Update AZ Eye subassembly Description O$z"`'&j#  
        eID = FindFullName( "Geometry.Arizona Eye" ) \X %#-y  
        GetEntity eID, entity ;ZB=@@l(  
        entity.Description = "Accommodation = " & A & "D" DvhF CA}z  
        SetEntity eID, entity f IV"U  
    !9gpuS[  
        Update $-DW+|p.?^  
        Print "DONE!" g Nz  
         O4`.ohAZ  
    End Sub 8/2Wq~&  
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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: .;31G0<w2  
    :&5u)  
    Accommodation = 4 Diopters e| C2/U-  
    Pupil Diameter = 4 mm )T '?"guh`  
    Set aqueous humor thickness = 2.81 X%-"b`  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 >CG;df<~  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 {31X  
    Set lens thickness = 3.927 /7B3z}rd  
    Set lens index of refraction = 1.42672 1f3g5y'z5  
    Set pupil diameter = 4 zk }SEt-  
    DONE! 8r}tf3xMCM  
     
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