切换到宽版
  • 广告投放
  • 稿件投递
  • 繁體中文
    • 1931阅读
    • 0回复

    [技术]Arizona眼睛模型 [复制链接]

    上一主题 下一主题
    离线infotek
     
    发帖
    6421
    光币
    26250
    光券
    0
    只看楼主 倒序阅读 楼主  发表于: 2021-10-22
    简介 MtAD&+3$  
    gt3;Xi  
    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。 CVsc#=w0  
    Dm': D  
    模型 n/_cJD \  
    v%|()Z0  
    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。 yQ> *F  
    PjEKZHHz  
    Table 1. AZ眼睛模型的定义
    $wa )e  
    在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. ?@ ei_<A{  
    z T|]!',  
    光源 4C&L%A  
    ]p(jL7  
    多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 `jR;RczC  
    ZFy>Z:&S,  
    s}Q%]W  
    图1. 光源和提示信息使用
    s1XW}Dw  
    除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 ]*+ozAG4  
    8H_3.MK  
    在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 Pm]6E[zC  
    C% <[mM  
    图2. 字母F光源的设定方法光 p1p4t40<l  
    I(r^q"  
    图3. 字母F在视网膜上位置点列图
    kW&{0xkGR  
    视网膜的散射 c?L_n=B  
    O?omL5  
    在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 n$ye:p>`-  
    NfcQB;0  
    { #CyO b4  
    图4. 视网膜朗伯散射设定
    K,YKU? z6  
    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。 .}.5|z} A  
    {\G4YQ  
    9viQ<}K<  
    图5. 视网膜重点采样规格设定
    *B(na+  
    脚本 %p?u ^rq  
    7SE=otZ>  
    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: @9| sNS  
    28M! G~|  
    图6. 用户对话框的创建与编辑
    GeN8_i[  
    图7. 用户对话框编辑器
    j r6)K;:.  
    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。 v/f&rK*>  
    余下的脚本计算与屈光度有关的所有参数。 K"1xtpy  
    %&9tn0B  
    分析 8"+Re [  
    ^ MkT">  
    屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 `zAo IQ  
    `P9vZR;  
    图7. 字母F在视网膜上颜色分析
    HPs$R [  
    脚本代码 v`B7[B4K3  
    +O:Qw[BL/Z  
    Option Explicit     'Remove this to enable non-dimensioned variables to be used. + oyW_!(  
    4RsV\Y{FN  
    Dim entity As T_ENTITY w5|az6wZB!  
    Dim op As T_OPERATION & v=2u,]T  
    Dim mat As T_MODELMATERIAL  5I5~GH  
    Dim A As Double r'fNQJ >  
    Dim pupilDiam As Double r?d601(fa  
    Dim eID As Long pU)wxv[~  
    Dim parID As Long $@q)IK%FDL  
    Dim count As Integer 39?iX'*p  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double }Tn]cL{]C  
    Dim tlens As Double, nlens As Double 72} MspzUt  
    Dim curv As Double, conic As Double X""<5s'0  
    Dim ok As Long ^lB'7#7  
    q%#dx4z&  
    Sub Main S|Wv1H>  
    2#5SI  
        '用户输入对话框 ~q#UH'=%  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 J\XYUs  
            TextBox 220,21,40,21,.TextBox1 'default: 0 mY2 Ubn*  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1  Mi.xay%  
            OKButton 40,91,90,21 5SFeJBS  
            CancelButton 190,91,90,21 d}%GHvOi  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 ~h?zK 1  
            TextBox 220,49,40,21,.TextBox2 'default: 4 EP7L5GZ-a  
        End Dialog ZVEq{x1Zc  
        Dim dlg As UserDialog E N%cjvE  
    ~P|YAaFx  
        ok = Dialog (dlg) MsCY5g  
    ^ _KHw  
        If ok=0 Then    'cancel button was pressed LJYFz=p "  
            Print "Execution cancelled." | "DQ^)3Pi  
            End U$6N-q  
        End If ZeF PwW  
    %0@Jm)K^  
        'Assign accommodation and pupil diameter & use defaults if field left empty em<(wJ-Y  
        If dlg.TextBox1 = "" Then jR\&2;T  
            A = 0           'Default accommodation )(b]-  )  
        Else !HM{imT  
            A = CDbl(dlg.TextBox1) Q/r9r*>z  
        End If D#508{)  
    YmFJlMK  
        If dlg.TextBox2 = "" Then 4&~1|B{Z  
            pupilDiam = 4   'Default pupil diameter zS18Kl  
        Else XJDp%B  
            pupilDiam = CDbl(dlg.TextBox2) =9FY;9  
        End If $`x4|a8-  
    ,*8}TIS(s  
        Print " " G%-[vk#]  
        Print "Accommodation = " & A & " Diopters" > y"V%  
        Print "Pupil Diameter = " & pupilDiam & " mm" j%Y`2Ra  
    B. 6gJ2c  
        ' Calculate new parameters with accommodation $fV47;U'*  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness >%x7-->IB  
    U)=?3}s(  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens C^XJE1D.  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens wqJ^tA!  
    ZJ'#XZpr  
        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens :84fd\It4  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens DG}t!  
    L;H(I@p(e  
        tlens = 3.767 + 0.04*A                  'Lens thickness q>X#Aaib  
    6pM[.:TM   
        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction A#RA;Dt:  
    y|Tb&XPD  
        'Adjust parameters to account for accommodation  Zm!T4pL  
    l4u_Z:<w  
        '************************************************************************* *KN'0Z@W  
        'Aqueous thickness (Position of Lens) |E&a3TQW  
        '************************************************************************* .&=nP?ZPC6  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) oOUL<ihe?  
        GetCustomElement eID, entity Y` Oz\W  
    w`&~m:R  
        parID = FindFullName( "Geometry.Arizona Eye" ) 8- 3]Bm!  
    xCz(qR  
        ' Delete any shift(s) in z ='a[(C&Y  
        count = 0 yt}Ve6  m  
        While GetOperationCount(eID)>count L,M=ogdb  
            GetOperation eID, count, op pca `nN!  
            If op.Type="ShiftZ" Then &eKnLGKD  
                DeleteOperation eID,count URdCV{@42  
                count=count-1 =<MSM\Rb  
            End If 4*< x0  
            count=count+1 ET;YAa*  
        Wend O{SP4|0JV  
    .(^KA{  
        'Set new shift in 1p=^I'#  
        op.Type = "ShiftZ" .w/w] Eq  
        op.val1 = taq S\b[Bq  
        op.parent = parID fmrd 7*MW  
        AddOperation eID, op YAQ]2<H  
        Print "Set aqueous humor thickness = " & taq-0.55 ZpvURp,I  
    cw|3W]  
        '************************************************************************* / E}L%OvE  
        'Radius and conic constant of anterior lens C?m2R(RF  
        '************************************************************************* 4<[,"<G~3  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) T'B43Q  
        GetConic eID, entity, curv, conic "c` $U]M%  
    N^z4I,GV(  
        SetConic eID, entity, 1/Rant, CCant f]Z%,'1^  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant :_V9Jwu  
    ui%B|b&&  
        '************************************************************************* k=!lPIx  
        'Radius and conic constant of posterior lens KM li!.(b  
        '************************************************************************* nb dm@   
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) KtTv0[66  
        GetConic eID, entity, curv, conic 7.mY@  
    pW$ZcnU  
        SetConic eID, entity, 1/Rpost, CCpost BBuI|lr  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost 1c8Nr&Jl  
    Yw @)0%G  
        '************************************************************************* " O0p.o  
        'Lens thickness (Position of posterior lens surface) .UX`@Q:Gp  
        '************************************************************************* zGgPW  
    S"hA@j  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) 9MP_#M7  
    #$W02L8  
        ' Delete any z-shift(s) 9/2VU< K  
        count = 0 @9#l3  
        While GetOperationCount(eID)>count y0s=yN_  
            GetOperation eID, count, op Z 0&=Lw  
            If op.Type="ShiftZ" Then ? 1Os%9D*  
                DeleteOperation eID,count 9#(Nd, m})  
                count=count-1 JC6?*R  
            End If 1OI/!!t1$  
            count=count+1 @cYb37)q=  
        Wend cG!\P:re  
    A1>fNilC9  
        'Set new z-shift DR]=\HQ  
        op.Type = "ShiftZ" M;2@<,rM  
        op.val1 = tlens EZs"?A  
        op.parent = parID @7S* ]  
        AddOperation eID, op >^Rkk {cc  
        Print "Set lens thickness = " & tlens }fC=  
    r~rftw  
        '************************************************************************* rnAQwm-8O%  
        'Lens index of refraction `>ppDQaS)W  
        '************************************************************************* rfo7\'yk  
        eID = FindMaterial( "Lens" ) WSEw:pln  
        GetModelMaterial eID, mat }jE [vVlRw  
    [G!#y  
        mat.Nd = nlens LH}]& >F  
        SetModelMaterial eID, mat |WP}y- Au  
        Print "Set lens index of refraction = " & nlens qAI %6d  
    oRkh>yj'  
        '************************************************************************* /EP RgRX  
        'Pupil diameter ;f?suawMv  
        '************************************************************************* 8MQb5( !  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) trx y3k;  
    _v6x3 Z  
        'Adjust pupil diameter (trimming volume inner hole) XXD LbT'J  
    X,xCR]+5S  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" Q DVk7ks  
    jw5ldC>U  
        ' Adjust pupil location to just in front of the lens XoNBq9Iu  
        parID = FindFullName( "Geometry.Arizona Eye" ) gOy;6\/  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) Oa.84a  
        count = 0 OsT|MX  
        While GetOperationCount(eID)>count c-VIpA1  
            GetOperation eID, count, op g1kYL$o4  
            If op.Type="ShiftZ" Then !jWE^@P/B  
                DeleteOperation eID,count )4#YS$B$@)  
                count=count-1 )L/0X40<.  
            End If ]\Z8MxFD  
            count=count+1 U9"(jl/o  
        Wend v<3KxP'a  
        op.Type = "ShiftZ" !!k^M"e2  
        op.val1 = taq-0.01  CK+t6Gp  
        op.parent = parID Fy 1- >~  
        AddOperation eID, op +'|nsIx,  
    "5HSCl$r%  
        Print "Set pupil diameter = " & pupilDiam lrjVD(R=g  
    OwCbv j0 #  
        'Update AZ Eye subassembly Description q6PG=9d0B  
        eID = FindFullName( "Geometry.Arizona Eye" ) 5,R4:y ?cK  
        GetEntity eID, entity X5pb9zRq  
        entity.Description = "Accommodation = " & A & "D" R53^3"q~  
        SetEntity eID, entity =`ZRPA!aY  
    ri Z :#I  
        Update r2*8.j51  
        Print "DONE!" $b~[>S-Q  
         W3zYE3DZf  
    End Sub i E?yvtr8  
    [ $5u:*  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: h% eGtd$n  
    ,!40\"A  
    Accommodation = 4 Diopters 1xEFMHjy  
    Pupil Diameter = 4 mm p#%*z~ui  
    Set aqueous humor thickness = 2.81 %*NED zy  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 [l/!&6  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 #w3J+U 6r  
    Set lens thickness = 3.927 &,P; 7R  
    Set lens index of refraction = 1.42672 .07"I7  
    Set pupil diameter = 4 = GyABK  
    DONE! [D+,I1u2h  
     
    分享到