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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 %Rm`+  
    < VrHWJo  
    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。 Zg=jDPt}  
    6BH P#B2j  
    模型 oxZXY]$y  
    LVe[N-K  
    模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 JDP/vNq  
    B0$ge"FK9  
    Table 1. AZ眼睛模型的定义
    D*}_L   
    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. hF`Qs  
    /7LAd_P6  
    光源 Y>Ju$i  
    hp3 <HUU  
    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。 Aq;WQyZ2  
    RH~I/4e  
    .!Q*VTW  
    图1. 光源和提示信息使用
    SL 5QhP  
    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。 J. $U_k  
    Xv2Q8-}w  
    在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 +<rWYF(ii/  
    \V%l.P4>e  
    图2. 字母F光源的设定方法光 pKkBA r,  
    H$rNT/C  
    图3. 字母F在视网膜上位置点列图
    ]US  
    视网膜的散射 JIU8~D  
    s6(bTO.  
    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。 sh)[|?7z  
    =58:e7(df  
    _"h1#E  
    图4. 视网膜朗伯散射设定
    TrR=3_;.7  
    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。 ZW%;"5uVm)  
    ,d@FO|G#pt  
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    图5. 视网膜重点采样规格设定
    2g HRfTF  
    脚本 `h='FJ/!  
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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: bsv!z\}  
    71G\b|5  
    图6. 用户对话框的创建与编辑
    0mR^%+~  
    图7. 用户对话框编辑器
    t~M0_TnXlP  
    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。 o]TKL'gW  
    余下的脚本计算与屈光度有关的所有参数。 .f-s+J&ED  
    P2 fiK  
    分析 i;fU],aK!  
     J;GYo|8  
    屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 2Dw}o;1'  
    :=?od 0]W  
    图7. 字母F在视网膜上颜色分析
    ]PQ6 em  
    脚本代码 d8J(~$tXQN  
    Mn TqWC90  
    Option Explicit     'Remove this to enable non-dimensioned variables to be used. COH9E\ZGF  
    MQMc=Z4d  
    Dim entity As T_ENTITY D]?yGI_  
    Dim op As T_OPERATION v,Uu )Z  
    Dim mat As T_MODELMATERIAL D_M73s!U  
    Dim A As Double *]*0uo  
    Dim pupilDiam As Double Xq%ijo  
    Dim eID As Long pM}n)Q!{3"  
    Dim parID As Long ,m[#<}xXA  
    Dim count As Integer Bmv5yc+;  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double NeR1}W  
    Dim tlens As Double, nlens As Double @y8) "m"  
    Dim curv As Double, conic As Double ~; vt{pk  
    Dim ok As Long "{x+ \Z\  
    (05a 9  
    Sub Main l,ic-Y1  
     L0>7v  
        '用户输入对话框 -cgMf\YF  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 09J,!NN  
            TextBox 220,21,40,21,.TextBox1 'default: 0 qlC4&82=Q  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 g3TqTs  
            OKButton 40,91,90,21 >0S(se$  
            CancelButton 190,91,90,21 oT i$@q  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 U*\ 1d  
            TextBox 220,49,40,21,.TextBox2 'default: 4 ]23+ d/  
        End Dialog YP73  
        Dim dlg As UserDialog #D^( dz*  
    C}]143a/Q  
        ok = Dialog (dlg) I]Ws   
    [/U5M>#n  
        If ok=0 Then    'cancel button was pressed 4[rX\?^e  
            Print "Execution cancelled." :'Tq5kE  
            End nZ4@g@e2  
        End If 4F,RlKHBl  
    8TCbEPS@Q  
        'Assign accommodation and pupil diameter & use defaults if field left empty Da ]zbz%%  
        If dlg.TextBox1 = "" Then H8h,JBg5<F  
            A = 0           'Default accommodation >:|jds#  
        Else o,!W,sx_  
            A = CDbl(dlg.TextBox1) Q1RUmIe_&  
        End If vz^=o'  
    K~A@>~vFb  
        If dlg.TextBox2 = "" Then 3j\Py'};  
            pupilDiam = 4   'Default pupil diameter &H/3@A3  
        Else rTzXRMv@o  
            pupilDiam = CDbl(dlg.TextBox2) D 4<,YBvV  
        End If I @ D<rjR  
    ]u47]L#  
        Print " " w_*$w Vl  
        Print "Accommodation = " & A & " Diopters" wUH:l  
        Print "Pupil Diameter = " & pupilDiam & " mm" ;-VXp80J  
    6 - IThC  
        ' Calculate new parameters with accommodation 6c*QBzNL  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness /J!~0~F  
    b$Q#Fv&P  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens 9PG3cCr?  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens }i52MI1-XP  
    h%&2M58:  
        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens ?tkd5kE  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens 9,$ n 6t;  
    -932[+  
        tlens = 3.767 + 0.04*A                  'Lens thickness KP CZiu7  
    +@MG$*}Oz  
        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction /U= ?D(>x  
    86 W.z6  
        'Adjust parameters to account for accommodation 6A-nhvDP  
    "LM[WcDX  
        '************************************************************************* iz2;xa*  
        'Aqueous thickness (Position of Lens) L DdgI  
        '************************************************************************* ;M5]XCP k  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) 7o9[cq w  
        GetCustomElement eID, entity wj\kx\+  
    \iAs  
        parID = FindFullName( "Geometry.Arizona Eye" ) s}?QA cC  
    0>yu Bgh  
        ' Delete any shift(s) in z i.''\  
        count = 0 CPJ%<+4%b  
        While GetOperationCount(eID)>count _FzAf5DO  
            GetOperation eID, count, op ^F87gow%`B  
            If op.Type="ShiftZ" Then 7w?N-Q$y  
                DeleteOperation eID,count ( #rhD}  
                count=count-1 Iy@6cd,)S  
            End If sK7b4gmK  
            count=count+1 JxlZ,FF$@  
        Wend Ha~} NO  
    )b-KF}]d  
        'Set new shift in tw&biLM5T  
        op.Type = "ShiftZ" ?;DzWCL~9  
        op.val1 = taq ZQ[s/  
        op.parent = parID J"Nn.iVq  
        AddOperation eID, op {$'oKJy*  
        Print "Set aqueous humor thickness = " & taq-0.55 % {A%SDh  
    d>Ky(wS  
        '************************************************************************* trlZ  
        'Radius and conic constant of anterior lens 2Jqr"|sw  
        '************************************************************************* 9C: V i  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) ~/;shs<9EM  
        GetConic eID, entity, curv, conic PF:'dv  
    Z>hGqFZ0{  
        SetConic eID, entity, 1/Rant, CCant cfL:#IM  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant W@61rT} c  
    -o YJ&r  
        '************************************************************************* Ns.{$'ll  
        'Radius and conic constant of posterior lens wcW}Sv[r  
        '************************************************************************* \+)AQ!E  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) %[fZ@!B  
        GetConic eID, entity, curv, conic 9KMtPBZ  
    ._(5; PB"  
        SetConic eID, entity, 1/Rpost, CCpost :CG;:( |  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost 9C|-|mo  
    i"#zb&~nF  
        '************************************************************************* #<yKG\X?  
        'Lens thickness (Position of posterior lens surface) '|nAGkA  
        '************************************************************************* zI'c'X1,  
    c6LPqPcN  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) %RXFgm!{f  
    PB!*&T'!  
        ' Delete any z-shift(s) 5/i]Jni  
        count = 0 j\2q2_f  
        While GetOperationCount(eID)>count }c'T]h\S  
            GetOperation eID, count, op /086qB|  
            If op.Type="ShiftZ" Then 9tIE+RD  
                DeleteOperation eID,count n@9R|biO  
                count=count-1 YH{FTVOt{C  
            End If cT# R B7  
            count=count+1 8v\^,'@  
        Wend 47^7S=  
    XvkFP'%i/  
        'Set new z-shift "@rXN"4  
        op.Type = "ShiftZ" }N@+bNh~  
        op.val1 = tlens E 7"`D\*  
        op.parent = parID ^Dys#^  
        AddOperation eID, op 7z3YzQ=Kg  
        Print "Set lens thickness = " & tlens Ui }%T]  
     y-)5d  
        '************************************************************************* -{eI6#z|\A  
        'Lens index of refraction _+. )8   
        '************************************************************************* J;Veza  
        eID = FindMaterial( "Lens" ) Fd>epvR  
        GetModelMaterial eID, mat U46Z~B  
    iTJE:[W"y  
        mat.Nd = nlens YI),yj  
        SetModelMaterial eID, mat AHn Yfxv_  
        Print "Set lens index of refraction = " & nlens N6!$V7oT  
    !k8j8v&  
        '************************************************************************* bw OG|\  
        'Pupil diameter VHx:3G  
        '************************************************************************* Og(|bs!6  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) 1IWP~G  
    $ cYKVhf  
        'Adjust pupil diameter (trimming volume inner hole) ?Z"<&tsZ  
    <xr\1VjA  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" /xkF9   
    $WG<  
        ' Adjust pupil location to just in front of the lens ^MUvd  
        parID = FindFullName( "Geometry.Arizona Eye" ) ;g_<i_ *x#  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) *hkNJ  
        count = 0 GqD_6cdh  
        While GetOperationCount(eID)>count Io7o*::6iw  
            GetOperation eID, count, op +XL|bdK  
            If op.Type="ShiftZ" Then F'^?s= QX  
                DeleteOperation eID,count 48n7<M;I  
                count=count-1 JI|MR#_u  
            End If YF<U'EVU-  
            count=count+1 YCo qe,5  
        Wend =J^FV_1rJ  
        op.Type = "ShiftZ" L] !M1\  
        op.val1 = taq-0.01 0Y9fK? (  
        op.parent = parID I'%ASZ  
        AddOperation eID, op \Culf'iX  
    Q ;$NDYV1  
        Print "Set pupil diameter = " & pupilDiam )H- y  
    &``nYI g/  
        'Update AZ Eye subassembly Description ?m dGMf)  
        eID = FindFullName( "Geometry.Arizona Eye" ) @Jr@ fF}  
        GetEntity eID, entity f"0?_cG{%  
        entity.Description = "Accommodation = " & A & "D" 3Jw}MFFV  
        SetEntity eID, entity c_FnJ_++f  
    v?`DP  
        Update *&~wl(+O=  
        Print "DONE!" ' +E\-X  
         03a<Cd/S  
    End Sub BHJS.o*j~  
    */A ~lR|  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: z;6,,  
    d@>1m:p  
    Accommodation = 4 Diopters U$ 22r b  
    Pupil Diameter = 4 mm !r`/vQ #  
    Set aqueous humor thickness = 2.81 v}BXH4&Y  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 C vWt  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 s)j3+@:#  
    Set lens thickness = 3.927 [ .c'22R6  
    Set lens index of refraction = 1.42672 T{zz3@2?  
    Set pupil diameter = 4 J|:Zs1.<d  
    DONE! < <]uniZ\  
     
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