切换到宽版
  • 广告投放
  • 稿件投递
  • 繁體中文
    • 2265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
    6634
    光币
    27319
    光券
    0
    只看楼主 倒序阅读 楼主  发表于: 2021-10-22
    简介 lt{lpH  
    1BQ0M{&  
    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。 sI&i{D  
    ~u /aOd  
    模型 ;)(Sdf[P  
    Xhcn]  
    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。 b , juF2  
    CmEpir{}(  
    Table 1. AZ眼睛模型的定义
    D W/1 =3  
    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. R_Zv'y6  
    JEWL)  
    光源 |[S90Gw]  
    k"xGA*B|  
    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。 2+?T66 g  
    Fe!D%p Qv  
    B7!<{i  
    图1. 光源和提示信息使用
    d<Ggw#}:m  
    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。 %#~((m1  
    I=K!)X$  
    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。 ;LCTCt`  
    U|gpCy  
    图2. 字母F光源的设定方法光 `|$'g^eCL  
    E7Ibp79}N  
    图3. 字母F在视网膜上位置点列图
    ~xGoJrF\  
    视网膜的散射 iI5+P`sE&J  
    v" }WP34  
    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。 !^m%O0DT  
    CuH2E>wz  
    Ntb:en!X  
    图4. 视网膜朗伯散射设定
    2w+U$6e C  
    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。 ^Ye\u1n4  
    l)4O .*  
    vr=~M?  
    图5. 视网膜重点采样规格设定
    |% z ^N*  
    脚本 !p9)CjQ"  
    ! Tx&vtq  
    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: ~+yZfOcw  
    *G9sy_  
    图6. 用户对话框的创建与编辑
    5%*w<6<_z  
    图7. 用户对话框编辑器
    X) V7bVW  
    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。 m9in1RI%  
    余下的脚本计算与屈光度有关的所有参数。 zuSq+px L@  
    4({( i  
    分析 ,`k _|//}=  
    $ a?  
    屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 0}{'C5  
    :\XI0E  
    图7. 字母F在视网膜上颜色分析
    A{# Nwd>  
    脚本代码 k1)%.pt%  
    EIjI!0j  
    Option Explicit     'Remove this to enable non-dimensioned variables to be used. zN#*G i'  
    ='Q{R*u  
    Dim entity As T_ENTITY A /(lKq  
    Dim op As T_OPERATION 'Gx$Bj  
    Dim mat As T_MODELMATERIAL 98R KCc9h  
    Dim A As Double a5@z:i  
    Dim pupilDiam As Double F]UQuOR)  
    Dim eID As Long 3 iRA$C-p  
    Dim parID As Long As~(7?]r  
    Dim count As Integer xl(@C*.sC1  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double =pcF:D#+  
    Dim tlens As Double, nlens As Double G O{ . 9_2  
    Dim curv As Double, conic As Double nd ink$  
    Dim ok As Long ~. YWV  
    5;\gJf  
    Sub Main [U>@,BH  
    K=dR%c(  
        '用户输入对话框 sV/l5]b]  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 N|mJg[j@7  
            TextBox 220,21,40,21,.TextBox1 'default: 0 S${Zzt"  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 Kv37s0|g  
            OKButton 40,91,90,21 ZrO!L_/  
            CancelButton 190,91,90,21 *4S-z&,.c  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 Fk "Ee&H)(  
            TextBox 220,49,40,21,.TextBox2 'default: 4 4[yIOs  
        End Dialog :u6JjW[a)  
        Dim dlg As UserDialog Ej=3/RBsV  
    VA] e  
        ok = Dialog (dlg) eg/<[ A:  
    6KHN&P  
        If ok=0 Then    'cancel button was pressed .pPm~2]z  
            Print "Execution cancelled." /J3ZL[o?Q  
            End p =(@3%k  
        End If b| M3 `  
    mO*^1  
        'Assign accommodation and pupil diameter & use defaults if field left empty ~YP Jez  
        If dlg.TextBox1 = "" Then <IJu7t>  
            A = 0           'Default accommodation : i~W } r  
        Else {2&m`D bm  
            A = CDbl(dlg.TextBox1) yNg9X(U  
        End If 59r_#(uo  
    OFk8>"|  
        If dlg.TextBox2 = "" Then 'sh~,+g  
            pupilDiam = 4   'Default pupil diameter h.eM RdlO  
        Else yWDTjY/  
            pupilDiam = CDbl(dlg.TextBox2) 6at1bQ$  
        End If 7F^#o-@=J  
    B9R(&<4  
        Print " " .zg8i_  
        Print "Accommodation = " & A & " Diopters" Cx<0 H  
        Print "Pupil Diameter = " & pupilDiam & " mm" *\}}Bv+9  
    |re}6#TgcT  
        ' Calculate new parameters with accommodation \1"'E@+  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness p;T{i._iL  
    [XVEBA4GI  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens *&BnF\?m  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens m: n` g1  
    P{OAV+cG  
        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens KRAcnY;u  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens dU)]:>Uz  
    =m89z}Ot  
        tlens = 3.767 + 0.04*A                  'Lens thickness #Z+i~t{e(  
    Tm}rH]F&  
        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction &H}r%%|A  
    kOO Gw:/  
        'Adjust parameters to account for accommodation N`@NiJ(O;  
    o?L'Pg  
        '************************************************************************* b-ll  
        'Aqueous thickness (Position of Lens) zGKyN@o  
        '************************************************************************* "@R>J ?Cc+  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) {]_uMg#!  
        GetCustomElement eID, entity @ "a6fn  
    T>TWU:  
        parID = FindFullName( "Geometry.Arizona Eye" ) [x=jH>Y  
    ~h}Fi  
        ' Delete any shift(s) in z ~5Pb&+<$  
        count = 0 9. 'h^#C  
        While GetOperationCount(eID)>count '* mH*?Y  
            GetOperation eID, count, op ,}oM-B  
            If op.Type="ShiftZ" Then =4V&*go*\  
                DeleteOperation eID,count ^;!0j9"* :  
                count=count-1 ,B?~-2cCz  
            End If glDcUCF3  
            count=count+1 lC:k7<0Ji  
        Wend Lbe\@S   
    &'cL%.  
        'Set new shift in X%z }VA  
        op.Type = "ShiftZ" ojYbR<jn9  
        op.val1 = taq GjoIm?  
        op.parent = parID infl.  
        AddOperation eID, op ? WJ> p  
        Print "Set aqueous humor thickness = " & taq-0.55 SJD@&m%?[  
    #/PAA  
        '************************************************************************* ~ wg:!VWA)  
        'Radius and conic constant of anterior lens zvABU+{jD  
        '************************************************************************* V5+SWXZ  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) coYij  
        GetConic eID, entity, curv, conic " \I4u{zC  
    RMMd#/A@}  
        SetConic eID, entity, 1/Rant, CCant <: &*  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant 2,ECYie^  
    /Mb"V5S(W  
        '************************************************************************* ),%6V5a+E  
        'Radius and conic constant of posterior lens oIUy-|  
        '************************************************************************* zD?oXs  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) <ZU=6Hq  
        GetConic eID, entity, curv, conic 3?Y2L  
    \fr-<5w79  
        SetConic eID, entity, 1/Rpost, CCpost  hi g2  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost xsWur(>]  
    WJI[9@^I~  
        '************************************************************************* THmb6^  
        'Lens thickness (Position of posterior lens surface) SG6sw]x  
        '************************************************************************* ^vG8#A}]  
    9UvXC)R1  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) Mq';S^  
    N !TW!  
        ' Delete any z-shift(s) !w&kyW?e  
        count = 0 oK 6(HF'&  
        While GetOperationCount(eID)>count <n3!{w3<  
            GetOperation eID, count, op CI3XzH\IX*  
            If op.Type="ShiftZ" Then J\ e+}{  
                DeleteOperation eID,count AT5aDEb^^  
                count=count-1 DTWD |M  
            End If iNMx"F0r  
            count=count+1 Tw +  
        Wend as J)4ema  
    +F dB '  
        'Set new z-shift m3o,@=b  
        op.Type = "ShiftZ" g-Pwp[!qkf  
        op.val1 = tlens z=$jGL  
        op.parent = parID =4h+ M$2  
        AddOperation eID, op Bn>8&w/P  
        Print "Set lens thickness = " & tlens &+G"k~%  
    ou %/l4dC  
        '************************************************************************* b(9FZ]7S  
        'Lens index of refraction 4H@Wc^K  
        '************************************************************************* .^b;osAU  
        eID = FindMaterial( "Lens" ) ^e+a  
        GetModelMaterial eID, mat  ? w^-  
    D%JlbH8  
        mat.Nd = nlens O]qU[y+  
        SetModelMaterial eID, mat "?| > btr  
        Print "Set lens index of refraction = " & nlens 41fJ%f` G  
    eI@ q|"U  
        '************************************************************************* u ElAnrm  
        'Pupil diameter q4V7  
        '************************************************************************* ?&Pg2]g<  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) P6MRd/y |  
    ne^imht  
        'Adjust pupil diameter (trimming volume inner hole) u[{tb  
    JgHM?AWg|  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" iDf,e Kk$'  
    wY"Q o7  
        ' Adjust pupil location to just in front of the lens KoS*0U<g6  
        parID = FindFullName( "Geometry.Arizona Eye" ) bGorH=pb5R  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) Znetzm=0  
        count = 0 %Ts PyiYl  
        While GetOperationCount(eID)>count x"~~l  
            GetOperation eID, count, op f  nI|  
            If op.Type="ShiftZ" Then {W##^L~  
                DeleteOperation eID,count +*_5tWAc  
                count=count-1 [V}S <Xp  
            End If /<rt1&0  
            count=count+1 5Vi> %5A>l  
        Wend (!:cen~|[  
        op.Type = "ShiftZ" E#s)52z=B  
        op.val1 = taq-0.01 t-LG }nv  
        op.parent = parID M?;y\vS?.  
        AddOperation eID, op /y>>JxAEb  
    ~xoF6 CF  
        Print "Set pupil diameter = " & pupilDiam wfjnA~1h  
    G}9=)  
        'Update AZ Eye subassembly Description D$JHs4  
        eID = FindFullName( "Geometry.Arizona Eye" ) xzx$TUL  
        GetEntity eID, entity w;l<[q?_  
        entity.Description = "Accommodation = " & A & "D" c*R/]Dn   
        SetEntity eID, entity ^gFqRbuS  
    Q~Z=(rP20  
        Update z.}[m,oTF  
        Print "DONE!" n6k9~"?  
         D_8x6`z  
    End Sub *& m#qEv  
    }@r{?8Ru  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: 'KPASfC  
    WAn'kA  
    Accommodation = 4 Diopters {?`al5Sz  
    Pupil Diameter = 4 mm 07hF2[i  
    Set aqueous humor thickness = 2.81 yZ!T8"mz{  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 YX*Qd$chZ  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 n!qV>k9Y  
    Set lens thickness = 3.927 j;Z?WXWD h  
    Set lens index of refraction = 1.42672 f#Xyoa%  
    Set pupil diameter = 4 $k$4% 7  
    DONE! 'fL"txW  
     
    分享到