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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 7yG%E  
    %M_F/O  
    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。 [g==#[  
    3 JlM{N6+  
    模型 6ZjUC1  
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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。 5-4  
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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. ,jnaa(n  
    (wH+0  
    光源 6Po {tKU  
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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。 xJ^B.;>  
    $LBgBH &z  
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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。 %f\j)qw  
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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。 {Zs EYUP  
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    图2. 字母F光源的设定方法光 sC f)#6mI  
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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 ^c}kVQ\g3  
    TPj,4&|  
    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。 t@2MEo  
    D7IhNWrgj  
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    图4. 视网膜朗伯散射设定
    \+ Ese-la  
    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。 cI6Td*vM  
    ZKS]BbMZa  
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    图5. 视网膜重点采样规格设定
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    脚本 s=R^2;^  
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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: $|@-u0sv  
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    图6. 用户对话框的创建与编辑
    ;+3@S`2r  
    图7. 用户对话框编辑器
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    如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 dM -<aq  
    余下的脚本计算与屈光度有关的所有参数。 ?5[$d{ Gjl  
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    分析 1O2V!?P  
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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。 ;e2D}  
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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 y?iW^>|?L=  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. gd0a,_`M  
    /mn'9=ks  
    Dim entity As T_ENTITY 7a4Z~r27/  
    Dim op As T_OPERATION [.;I}  
    Dim mat As T_MODELMATERIAL x45F-w{  
    Dim A As Double H@|m^1  
    Dim pupilDiam As Double b6""q9S!  
    Dim eID As Long VTO92Eo  
    Dim parID As Long u`*1OqU  
    Dim count As Integer HSACaTVK  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double [t?:CgI)E  
    Dim tlens As Double, nlens As Double 'kJyE9*xU.  
    Dim curv As Double, conic As Double ~'Korxa  
    Dim ok As Long OP``+z>  
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    Sub Main C)cuy7<  
    rj29$d?Y9  
        '用户输入对话框 S`h yRw  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 ] `;Fc8$  
            TextBox 220,21,40,21,.TextBox1 'default: 0 YCG $GD  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 DU@SXb  
            OKButton 40,91,90,21 %y+v0.aWH+  
            CancelButton 190,91,90,21 =|V#~p*  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 CSzu $Hnq  
            TextBox 220,49,40,21,.TextBox2 'default: 4 pWeD,!f  
        End Dialog m&- -$sr  
        Dim dlg As UserDialog q^}iXE~  
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        ok = Dialog (dlg) !3ji]q;uF  
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        If ok=0 Then    'cancel button was pressed 2t3)$\ylQp  
            Print "Execution cancelled." Dyj>dh-  
            End <,t6A?YoMP  
        End If ,/eAns`ZU  
    F{eI[A  
        'Assign accommodation and pupil diameter & use defaults if field left empty i&L!?6 5-f  
        If dlg.TextBox1 = "" Then 1Uc/ r>u9  
            A = 0           'Default accommodation &3 x [0DV  
        Else :>3?|Z"Aj  
            A = CDbl(dlg.TextBox1) CeUC[cUQU  
        End If T?*f}J  
    Bf$` Hf6  
        If dlg.TextBox2 = "" Then <SSkCw  
            pupilDiam = 4   'Default pupil diameter .6pVt_f0/  
        Else U ?6.UtNf  
            pupilDiam = CDbl(dlg.TextBox2) C|S~>4`  
        End If XrGP]k6.^  
    4@9xq<<5  
        Print " " =<r1sqf  
        Print "Accommodation = " & A & " Diopters" +o K*5 Y  
        Print "Pupil Diameter = " & pupilDiam & " mm" pE{Ecrc3|  
    CE|rn8MB  
        ' Calculate new parameters with accommodation CS;4ysNf  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness =DXN`]uN  
    mv#*%St5  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens ~6#O5plKc  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens O-n JuZJgX  
    &[5pR60  
        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens rb]?"lizi  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens |+Tq[5&R  
    V=H:`n3k  
        tlens = 3.767 + 0.04*A                  'Lens thickness 5wC,:c[H7  
     =tc!"{  
        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction Fzy5k?R  
    yg82a7D  
        'Adjust parameters to account for accommodation z6 .^a-sU5  
    M AL;XcRR  
        '************************************************************************* HnKXO  
        'Aqueous thickness (Position of Lens) g Cx#&aXS  
        '************************************************************************* $-paYQ4  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) 9`7>" [=P  
        GetCustomElement eID, entity bv}e[yH  
    vU9:` @beu  
        parID = FindFullName( "Geometry.Arizona Eye" ) qTe@?j  
    D=}\]Krmay  
        ' Delete any shift(s) in z c-ql  
        count = 0 0CK3jdZ+X  
        While GetOperationCount(eID)>count HbJ^L:/  
            GetOperation eID, count, op A}(o1wuw  
            If op.Type="ShiftZ" Then dEZlJo@J  
                DeleteOperation eID,count <4582x,G  
                count=count-1 V+t's*9o3  
            End If wJh/tb=$o  
            count=count+1 k +Cwnp  
        Wend _Sl3)  
    ==EB\>g|  
        'Set new shift in ZWQ/BgKB  
        op.Type = "ShiftZ" ;?%_jB$P  
        op.val1 = taq P+DIo7VTX  
        op.parent = parID 6!wk5#  
        AddOperation eID, op -! ^D8^s  
        Print "Set aqueous humor thickness = " & taq-0.55 ]AX3ov6z9;  
    ~nApRC)0  
        '************************************************************************* S:1g(f*85  
        'Radius and conic constant of anterior lens #@F.wV0  
        '************************************************************************* ?/8V%PL~$  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) - B?c F9  
        GetConic eID, entity, curv, conic :TkMS8  
    S q{@4F}d  
        SetConic eID, entity, 1/Rant, CCant DKF '*  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant %^[D+1ULb  
    HEw&'  
        '************************************************************************* !@ {sM6U  
        'Radius and conic constant of posterior lens X!m lC51  
        '************************************************************************* L+}<gQJ(  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) Zn[ppsz|  
        GetConic eID, entity, curv, conic %< `D' V@  
    nkf7Fq}  
        SetConic eID, entity, 1/Rpost, CCpost .br6x ^\<  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost W||&Xb  
    :aH5=@[!y  
        '************************************************************************* }Eh &'  
        'Lens thickness (Position of posterior lens surface) o7@C$R_#  
        '************************************************************************* <T&v\DN  
    \>X!n2rLZe  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) !s:e  
    Hz)i.AA 4  
        ' Delete any z-shift(s) F~eY'~&H}  
        count = 0 8|zOgn{  
        While GetOperationCount(eID)>count KC)}M zt6_  
            GetOperation eID, count, op b`@J"E}  
            If op.Type="ShiftZ" Then <_#2+7Qs  
                DeleteOperation eID,count E;[Uhh|78!  
                count=count-1 [bRE=Zr$Ry  
            End If Ov ^##E  
            count=count+1 dCe LW  
        Wend "p7nngn~  
    -:E~Z_J`  
        'Set new z-shift NpaS2q-d  
        op.Type = "ShiftZ" u@CQ+pnf:(  
        op.val1 = tlens W/AF  
        op.parent = parID eTuKu(0 E  
        AddOperation eID, op keFH CC  
        Print "Set lens thickness = " & tlens [c;#>UQMf  
    FRQ0t!b<M1  
        '************************************************************************* T^(> 8/O  
        'Lens index of refraction .ws86stFSb  
        '************************************************************************* *l=(?Pe<  
        eID = FindMaterial( "Lens" ) EC 1|$Co  
        GetModelMaterial eID, mat aYDo0?kF'  
    hidQOh  
        mat.Nd = nlens ,[)l>!0\H  
        SetModelMaterial eID, mat  uxB`  
        Print "Set lens index of refraction = " & nlens Fk^N7EJ:$  
    Hf\sF(, (  
        '************************************************************************* tRZ4\Bu  
        'Pupil diameter {M5t)-  
        '************************************************************************* |<5F08]v  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) -J8Hsqf@  
    *3r s+0  
        'Adjust pupil diameter (trimming volume inner hole) O1S7t)ag  
    ts9wSx~[+  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" {ywwJ  
    Jv+w{"&  
        ' Adjust pupil location to just in front of the lens QXN_ ?E,g/  
        parID = FindFullName( "Geometry.Arizona Eye" ) O9ps?{g  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) sRA2O/yKCE  
        count = 0 _OyQ:>M6P  
        While GetOperationCount(eID)>count EK Vcz'w  
            GetOperation eID, count, op \2 e^x  
            If op.Type="ShiftZ" Then c!/ +0[  
                DeleteOperation eID,count kS8?N`2}LV  
                count=count-1 %1.F;-GdsW  
            End If zX4RqI  
            count=count+1 e6Y>Bk   
        Wend yCvtglAJ4  
        op.Type = "ShiftZ" ,(pp+hNq  
        op.val1 = taq-0.01 y<E]; ub  
        op.parent = parID zh*D2/ r  
        AddOperation eID, op _p*8ke  
    *LU/3H|}  
        Print "Set pupil diameter = " & pupilDiam :C(/yg  
    #Pp:H/b  
        'Update AZ Eye subassembly Description )Wr_*>xj  
        eID = FindFullName( "Geometry.Arizona Eye" ) .Zv~a&GE  
        GetEntity eID, entity ?VmgM"'md  
        entity.Description = "Accommodation = " & A & "D" mXOI"B9Sq  
        SetEntity eID, entity (8)9S6  
    [I3Nu8  
        Update t4[q :[1  
        Print "DONE!" %,_ZVgh0  
         <Q\KS  
    End Sub  o+'|j#P  
    wlJi_)!  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: !>n!Q*\(Ov  
    rR-[CT  
    Accommodation = 4 Diopters rZJJ\ , |  
    Pupil Diameter = 4 mm 45 sEhs[$  
    Set aqueous humor thickness = 2.81 C2"^YRN,  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 uC^)#Y\"  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 suwR`2  
    Set lens thickness = 3.927 +w^,!gA&  
    Set lens index of refraction = 1.42672 g"1V ]  
    Set pupil diameter = 4 ,"(G  
    DONE! uBx\xeI  
     
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