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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 KM"BHaSkF  
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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。 vnWt8?)]^  
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    模型 dVg'v7G&V(  
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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。 .k$Yleg  
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    Table 1. AZ眼睛模型的定义
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    在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. 85e*um^  
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    光源 fr'DV/T  
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    多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 :k-@w5(  
    ;d<O/y,:4  
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    图1. 光源和提示信息使用
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    除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 ;l^'g}dQ^  
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    在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 z%BX^b$Hj  
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    图2. 字母F光源的设定方法光 k!bG![Ie|  
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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 5g.w"0MkY  
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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。 BNe>Lko  
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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。 nch#DE8 2  
    el\xMe^SY  
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    图5. 视网膜重点采样规格设定
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    脚本 -?l`LbD  
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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: ej7L-~lxQ  
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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。 Al]*iw{  
    余下的脚本计算与屈光度有关的所有参数。 .4l cES~  
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    分析 7{l~\] 6d  
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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。 GXk |p8  
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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 8Q"1I7U  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. 11 k}Ly  
    6$kh5$[  
    Dim entity As T_ENTITY |j{]6Nu  
    Dim op As T_OPERATION M`8c|*G   
    Dim mat As T_MODELMATERIAL lon9oraF'  
    Dim A As Double $e{[fm x  
    Dim pupilDiam As Double fdHFSnQ g  
    Dim eID As Long 2<@g *  
    Dim parID As Long 2kk; z0f  
    Dim count As Integer ;@:-T/=  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double rVRv*W  
    Dim tlens As Double, nlens As Double rg=Ym.  
    Dim curv As Double, conic As Double Ck>]+rl  
    Dim ok As Long 6!USSipn  
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    Sub Main :."6g)T  
    %mD{rG9  
        '用户输入对话框 5iI(A'R[7  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 Dd,i^,4Gj  
            TextBox 220,21,40,21,.TextBox1 'default: 0 t @a&&  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 ^t*Ba>A  
            OKButton 40,91,90,21 X<pNc6  
            CancelButton 190,91,90,21 VS!v7-_N5  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 9Zmq7a E  
            TextBox 220,49,40,21,.TextBox2 'default: 4 ;g;1<? [  
        End Dialog OF )*kiJ  
        Dim dlg As UserDialog EcSu[b  
    /d/]#T[Z9  
        ok = Dialog (dlg) P2 qC[1hYH  
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        If ok=0 Then    'cancel button was pressed VR%*8=  
            Print "Execution cancelled." ;j[:tt\k  
            End )>^Ge9d]  
        End If FFe{=H,=  
    Xy`'h5  
        'Assign accommodation and pupil diameter & use defaults if field left empty -N6ek`  
        If dlg.TextBox1 = "" Then \qlz<   
            A = 0           'Default accommodation )O$S3ojZ  
        Else PfB9 .f{  
            A = CDbl(dlg.TextBox1) 94]i|2qj*  
        End If 5*Qzw[[=  
    *UXa.kT@  
        If dlg.TextBox2 = "" Then %o0H#7'  
            pupilDiam = 4   'Default pupil diameter ${}9/(x/^  
        Else 1'iQlnMO@  
            pupilDiam = CDbl(dlg.TextBox2) 3+ 2&9mm  
        End If k,; (`L  
    # JY>  
        Print " " F1L[C4'  
        Print "Accommodation = " & A & " Diopters" <b\8<mTr  
        Print "Pupil Diameter = " & pupilDiam & " mm" .7:ecFKk  
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        ' Calculate new parameters with accommodation 1mR@Bh  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness -V[!qI  
    p,uM)LD  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens Uz[#ye  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens 'A\0^EvVv  
    l<ZHS'-;8  
        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens (:%t  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens x9 n(3Oa  
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        tlens = 3.767 + 0.04*A                  'Lens thickness Lxv_{~I*  
    ;B(16&l=q  
        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction 86dz Jh  
    @+)T"5_Y[  
        'Adjust parameters to account for accommodation "Vp:Sq9y  
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        '************************************************************************* ae2SU4Jx  
        'Aqueous thickness (Position of Lens) '?fGI3b~/  
        '************************************************************************* |}/KueZ  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) b^()[4M;  
        GetCustomElement eID, entity Goy[P2m  
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        parID = FindFullName( "Geometry.Arizona Eye" ) ,OP\^  
    \_i22/Et  
        ' Delete any shift(s) in z lH@goh  
        count = 0 1=!2|D:C)i  
        While GetOperationCount(eID)>count nPl,qcyY  
            GetOperation eID, count, op }#Iqq9[  
            If op.Type="ShiftZ" Then aD6!x3c/  
                DeleteOperation eID,count PGVp1TQ  
                count=count-1 p6)6Gcx  
            End If i=pfjC  
            count=count+1 MBU4Awj  
        Wend fD8GAav  
    $?VYHkX  
        'Set new shift in U2~|AkL  
        op.Type = "ShiftZ" P=9UK`n  
        op.val1 = taq 0m\( @2E  
        op.parent = parID /+. m.TF  
        AddOperation eID, op ^EW6}oj[  
        Print "Set aqueous humor thickness = " & taq-0.55 :b_hF  
    }*aj&  
        '************************************************************************* +bb-uoZf  
        'Radius and conic constant of anterior lens h gwS_L  
        '************************************************************************* 5Fq+^  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) Nd@/U c  
        GetConic eID, entity, curv, conic w_LkS/  
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        SetConic eID, entity, 1/Rant, CCant =KD[#au6a  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant iU=:YPE+ .  
    LfCgvq6/pO  
        '************************************************************************* :6m"}8*q8  
        'Radius and conic constant of posterior lens /len8FRf  
        '************************************************************************* b.}J'?yLm  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) W3^^aD-  
        GetConic eID, entity, curv, conic <KStl fX  
    h7m$P^=U  
        SetConic eID, entity, 1/Rpost, CCpost U9 Q[K`  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost 5>=4$!`  
    04}c_XFFE  
        '************************************************************************* RmO kb~  
        'Lens thickness (Position of posterior lens surface) oJ#;XR  
        '************************************************************************* rg]z  
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        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) J%!vhQ  
    hQvI}  
        ' Delete any z-shift(s) \Il?$Kb/  
        count = 0 1$:O9 {F  
        While GetOperationCount(eID)>count =vDDfPR  
            GetOperation eID, count, op 0wF)bQv1  
            If op.Type="ShiftZ" Then XXD4T9Wy  
                DeleteOperation eID,count ofgNL .u  
                count=count-1 r CUs  
            End If d4A:XNKB  
            count=count+1 b'ir$RL] c  
        Wend )2u_c=  
    e. E$Ej]w  
        'Set new z-shift @B?'Mu*  
        op.Type = "ShiftZ" %.fwNS  
        op.val1 = tlens TIF  =fQ  
        op.parent = parID e#WASHZN  
        AddOperation eID, op V,?])=Ax  
        Print "Set lens thickness = " & tlens /IH F  
    6J cXhlB`  
        '************************************************************************* @Yw42`> !s  
        'Lens index of refraction i@%a!].I  
        '************************************************************************* *fLVzYpo  
        eID = FindMaterial( "Lens" ) Sg\+al7  
        GetModelMaterial eID, mat y~VLa  
    a,n#E!zT?w  
        mat.Nd = nlens TpHzf3.I  
        SetModelMaterial eID, mat @Q!Tvw/  
        Print "Set lens index of refraction = " & nlens SF"r</c[  
    'S9jMyZrZ  
        '************************************************************************* fEGnI\  
        'Pupil diameter #;;A~d:V  
        '************************************************************************* "wxyY^"  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) _!?a9  
    T]\'D&P~D  
        'Adjust pupil diameter (trimming volume inner hole) xF 3Z>  
    dMI G2log  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" Q*e\I8R}  
    EK\xc'6M  
        ' Adjust pupil location to just in front of the lens }5Km \OI  
        parID = FindFullName( "Geometry.Arizona Eye" ) :1v.Jk  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" )  Qr-,J_  
        count = 0 Yq{R*HO  
        While GetOperationCount(eID)>count }z2[w@M  
            GetOperation eID, count, op Q4g69IE  
            If op.Type="ShiftZ" Then FB3}M)G>M  
                DeleteOperation eID,count MaF4lFmS  
                count=count-1 E[FE-{B#  
            End If 1`~.!yd8(  
            count=count+1 7IrH(~Fo  
        Wend :edy(vC<  
        op.Type = "ShiftZ" m+x$LkP  
        op.val1 = taq-0.01 m.lzkS]P  
        op.parent = parID NuXII-  
        AddOperation eID, op 0Ld"df*  
    ,Z8)DC=  
        Print "Set pupil diameter = " & pupilDiam ROO@EQ#`Z  
    TrQUhmS/!  
        'Update AZ Eye subassembly Description T5dnj&N ]  
        eID = FindFullName( "Geometry.Arizona Eye" ) [7,q@>:CS  
        GetEntity eID, entity NFqGbA|  
        entity.Description = "Accommodation = " & A & "D" L08lkq,  
        SetEntity eID, entity 7s Gf_`Z  
    N_l_^yD  
        Update F4IU2_CnPD  
        Print "DONE!" <driD'=F  
          k =O  
    End Sub v z&88jt  
    4v9d& m!<  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: Y<_;8%S  
    c IPOI'3d  
    Accommodation = 4 Diopters \Qf2:[-V0  
    Pupil Diameter = 4 mm xrv0%  
    Set aqueous humor thickness = 2.81 |w5,%#AeO$  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 X3?RwN:P  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 /0XmU@B  
    Set lens thickness = 3.927 *n6L3"cO  
    Set lens index of refraction = 1.42672 /-+hMYe  
    Set pupil diameter = 4 2AEVBkF;M  
    DONE! FB %-$  
     
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