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    [转载]FRED运用: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: 2016-02-24
    简介 i{6wns?KMj  
    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。 c9R|0Yn^J  
    ]$?\,`  
    模型 LkIbvJCV  
    -O?&+xIK&  
    模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 j-wz7B  
    Af7&;8pM  
    Table 1. AZ眼睛模型的定义
    \o{rw0w0  
    在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. @2)ImgK[  
    ^ ]CQd   
    光源 Z^yhSbE{5  
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    多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 \P7y&`|  
    -[.A6W  
    ?<-ins  
    图1. 光源和提示信息使用
    6`;+|H<$  
    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。 2x dN0S  
    xl;0&/7e  
    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。 keL!;q|r-)  
    ]~-vU{  
    图2. 字母F光源的设定方法光 ]<?7Cp P  
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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 ?br4 wl  
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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。 zV"oB9\9O  
    UV8K$n<  
    'ai!6[|SD  
    图4. 视网膜朗伯散射设定
    %H'*7u2  
    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。 (GI]Uyn  
    f!aE/e\  
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    图5. 视网膜重点采样规格设定
    rE&+fSBD  
    脚本 uw`fC%-xh  
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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: A%c)=(,  
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    图6. 用户对话框的创建与编辑
    ;IYH5sG{  
    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。 T&PLvyBL  
    余下的脚本计算与屈光度有关的所有参数。 y OLqIvN  
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    分析 K]Onb{QY  
    +1 j+%&).  
    屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 rc9Y:(S1l  
    ,%%}d9  
    图7. 字母F在视网膜上颜色分析
    '4}c1F1T_  
    脚本代码 O F CA~sR  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. "~HV!(dRMC  
    8x9$6HO  
    Dim entity As T_ENTITY ^HasT4M+x  
    Dim op As T_OPERATION Zc9j_.?*  
    Dim mat As T_MODELMATERIAL ]~A<Q{  
    Dim A As Double  p3YF  
    Dim pupilDiam As Double r(::3TF%#q  
    Dim eID As Long 7yK1Q_XY>  
    Dim parID As Long SJdi*>  
    Dim count As Integer c@1q8,  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double #RA3 T[A  
    Dim tlens As Double, nlens As Double ko%B`  
    Dim curv As Double, conic As Double @lnM%  
    Dim ok As Long +\O[)\  
    `bF] O"  
    Sub Main wuQ>|\Zs  
    k;9"L90  
        '用户输入对话框 s"solPw  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 ) "o+wSI1  
            TextBox 220,21,40,21,.TextBox1 'default: 0 >)IXc<"wq  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 f YuM`O  
            OKButton 40,91,90,21 +#d}3^_]  
            CancelButton 190,91,90,21 (s\":5 C  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 BLvI[b|3gn  
            TextBox 220,49,40,21,.TextBox2 'default: 4 t9Nu4yl  
        End Dialog fx783  
        Dim dlg As UserDialog k v}<u  
    A|esVUo<3^  
        ok = Dialog (dlg) ?$T39U^  
    khW9n*  
        If ok=0 Then    'cancel button was pressed 9C{\=?e;  
            Print "Execution cancelled." j_r7oARL  
            End v8`)h<:W?  
        End If "n3i (sZ  
    ;I+"MY7D  
        'Assign accommodation and pupil diameter & use defaults if field left empty (3=(g  
        If dlg.TextBox1 = "" Then u8wZ2j4S  
            A = 0           'Default accommodation 8zRb)B+  
        Else Q:x:k+O-  
            A = CDbl(dlg.TextBox1) $qx&\@O  
        End If [?$|   
    yT>t[t60/S  
        If dlg.TextBox2 = "" Then B az:N 6u  
            pupilDiam = 4   'Default pupil diameter ($oO, c'z  
        Else ]/+qM)F  
            pupilDiam = CDbl(dlg.TextBox2) $VrKoL\ScA  
        End If <}E^r_NvD  
    |@-%x.y  
        Print " " ; YaR|)B  
        Print "Accommodation = " & A & " Diopters" Qjj:r~l  
        Print "Pupil Diameter = " & pupilDiam & " mm" W].P(A>m  
    Jb~-)n2  
        ' Calculate new parameters with accommodation ')9%eBaeK  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness IKK<D'6  
    >q&Q4E0  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens p.2>- L  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens LaE;{jY  
    id-VoHd K  
        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens {tE/Jv $  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens {1GW,T!#  
    s'^zudx  
        tlens = 3.767 + 0.04*A                  'Lens thickness a.5s5g)8  
    4Pljyq:  
        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction P#H#@:/3  
    fJ Ch  
        'Adjust parameters to account for accommodation JXlFo3<  
    R0<ka[+  
        '************************************************************************* eh'mSf^=p  
        'Aqueous thickness (Position of Lens) W RAW%?$  
        '************************************************************************* v.1= TBh  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) >:]fN61#  
        GetCustomElement eID, entity x~GV#c  
    6QRfju'  
        parID = FindFullName( "Geometry.Arizona Eye" ) ~MY (6P  
    mm=Y(G[_%y  
        ' Delete any shift(s) in z 'KGY;8<x]  
        count = 0 $/C<^}A  
        While GetOperationCount(eID)>count 2t { Cpw  
            GetOperation eID, count, op {K'SOh H4?  
            If op.Type="ShiftZ" Then 81_3{OrE<  
                DeleteOperation eID,count N,ik&NIWy  
                count=count-1 S'-<p<;D\B  
            End If uz4mHyS6  
            count=count+1 .Qh8I+Q%  
        Wend Hcd>\0  
    7o z(hO~  
        'Set new shift in (W/jkm  
        op.Type = "ShiftZ" >*}qGk  
        op.val1 = taq y`Pp"!P"O  
        op.parent = parID 1TQ $(bI  
        AddOperation eID, op W7A'5  
        Print "Set aqueous humor thickness = " & taq-0.55 (r[<g*+3  
    ?<frU ,{  
        '************************************************************************* VP4t~$"  
        'Radius and conic constant of anterior lens FA^x|C=$  
        '************************************************************************* %Z{J=  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) d L%E0o  
        GetConic eID, entity, curv, conic Xs?7Whc6  
    t=\V&,  
        SetConic eID, entity, 1/Rant, CCant ;(0:6P8I  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant X}z KV  
    M]` Q4\  
        '************************************************************************* Dlj=$25  
        'Radius and conic constant of posterior lens W,{`)NWg  
        '************************************************************************* H5RHA^p|  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) ($(1KE  
        GetConic eID, entity, curv, conic \>=YxB q  
    3/rvSR!  
        SetConic eID, entity, 1/Rpost, CCpost K[sM)_I  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost x}x@_w   
    Z `\7B e  
        '************************************************************************* 'fA D Dh}  
        'Lens thickness (Position of posterior lens surface) jZ D\u%  
        '************************************************************************* vWkKNB  
    T4!]^_t^  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) x>8f#B\Mr  
    <$yer)_J!k  
        ' Delete any z-shift(s) hTG d Uw]  
        count = 0 |C&eH$?~=R  
        While GetOperationCount(eID)>count ^LU[{HZV  
            GetOperation eID, count, op uBE,z>/,;  
            If op.Type="ShiftZ" Then H4:TYh  
                DeleteOperation eID,count sId5pY!  
                count=count-1 @J<B^_+Se  
            End If Na~_=3+a  
            count=count+1 ;5|EpoM  
        Wend NUnP'X=J,  
    g?$9~/h :;  
        'Set new z-shift ONGe/CEXT  
        op.Type = "ShiftZ" x b0+4w|  
        op.val1 = tlens =hs@W)-O  
        op.parent = parID @E>^\!nH  
        AddOperation eID, op _@OYC<  
        Print "Set lens thickness = " & tlens /MU<)[*Ro  
    CXQ ?P  
        '************************************************************************* t!u*6 W|@  
        'Lens index of refraction 4a @iR2e  
        '************************************************************************* sMS`-,37u  
        eID = FindMaterial( "Lens" ) -mkync3  
        GetModelMaterial eID, mat H);'\]_'x  
    ^r& {V"l]  
        mat.Nd = nlens " }ZD)7K  
        SetModelMaterial eID, mat B7PmG f)b  
        Print "Set lens index of refraction = " & nlens B)Q'a3d#  
    rka:.#!  
        '************************************************************************* aBI]' D;  
        'Pupil diameter ww,c)$  
        '************************************************************************* l46F3C|  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) @Hf }PBb  
    jF;4 8g@^  
        'Adjust pupil diameter (trimming volume inner hole) K?tk&0  
    $"FdS,*qKl  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" jFXU xf  
    UJH{vjIv  
        ' Adjust pupil location to just in front of the lens Ji!-G4.n"  
        parID = FindFullName( "Geometry.Arizona Eye" ) -0X> y  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) J9 =gv0  
        count = 0 @ tIB'|O  
        While GetOperationCount(eID)>count "n6Y^  
            GetOperation eID, count, op +n,BD C;  
            If op.Type="ShiftZ" Then %KA/  
                DeleteOperation eID,count X2uX+}h*tA  
                count=count-1 Xdq, =;  
            End If mCGcM^21-x  
            count=count+1 vRq xZN  
        Wend bevT`D  
        op.Type = "ShiftZ" H+;wnI>@  
        op.val1 = taq-0.01 LbR-uc?x  
        op.parent = parID +Y~+o-_  
        AddOperation eID, op m#nxw  
    vOK;l0%  
        Print "Set pupil diameter = " & pupilDiam =eqI]rVj^  
    i4I0oRp  
        'Update AZ Eye subassembly Description AVr!e   
        eID = FindFullName( "Geometry.Arizona Eye" ) K*Jtyy}r  
        GetEntity eID, entity 9^ r  
        entity.Description = "Accommodation = " & A & "D" Ng"vBycy  
        SetEntity eID, entity &XsLp&Do2  
    QVW6SY  
        Update j1 F+,   
        Print "DONE!" x 5SQ+7  
         +*J4q5;E[?  
    End Sub "AouiZkh  
    )!d1<p3  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: doc  
    TyWy5J< :+  
    Accommodation = 4 Diopters \vsrBM  
    Pupil Diameter = 4 mm X^Y9T`mQ}  
    Set aqueous humor thickness = 2.81 (@ E#O$'  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 :6?&FzD`  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 =.E(p)fz  
    Set lens thickness = 3.927 y^=oYL  
    Set lens index of refraction = 1.42672 kkBU<L2  
    Set pupil diameter = 4 5uo(z,WLR  
    DONE! FA9e(Ha   
    $-]setdY  
    (文章来源:讯技光电)
     
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