切换到宽版
  • 广告投放
  • 稿件投递
  • 繁體中文
    • 1458阅读
    • 0回复

    [分享]Arizona眼睛模型 [复制链接]

    上一主题 下一主题
    离线infotek
     
    发帖
    6401
    光币
    26150
    光券
    0
    只看楼主 倒序阅读 楼主  发表于: 2020-12-09
    简介 X 'Q$v~/  
    < pI2}  
    人眼光学模型可用来设计眼科用设备,光学系统注定了要与人眼一起使用。本文演示了这样一个模型:Arizona眼睛模型,在Jim Schwiegerling教授的书中有详细描述:《Field Guide to Visual and Ophthalmic Optics》。AZ眼睛模型达到了基于平均临床数据所决定的轴上和轴外像差等级。FRED文件包含了此眼睛模型及几个用来分析它的光源,并包括一个基于想要的屈光度来调整模型的内嵌脚本。 ^~(vP:  
    xA]CtB*o7  
    模型 Qvs}{h/  
    @(PYeXdV6&  
    模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 `h12  
    } ab@Nd$  
    Table 1. AZ眼睛模型的定义
    S pDVD  
    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. !<]%V]5[_  
    au2 ieZZ[  
    光源 R-J\c+C>W  
    S2K_>kvG)~  
    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。 =)m2u2c M  
    d8Jy$,/`?  
    ~fB: >ceD  
    图1. 光源和提示信息使用
    6 k+FTDL  
    除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 ?"PUw3V3lB  
    wly#|  
    在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 E\#hcvP  
    j$^3  
    图2. 字母F光源的设定方法光 F{ J>=TC  
    {gluK#Qm  
    图3. 字母F在视网膜上位置点列图
    WV!qG6\W  
    视网膜的散射 }kI-UEn$EP  
    ~WU _u,:  
    在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 X>EwJ"q#  
    E#r6e+e1Q%  
    *}Zd QJL  
    图4. 视网膜朗伯散射设定
    v0|A N  
    注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 ws Lg6  
    eIK8J,-  
    I\PhgFt@O  
    图5. 视网膜重点采样规格设定
    V(1Ldl'a  
    脚本 vG O-a2Z  
    (;P)oB"`C  
    内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: BKfcK>%g  
    Bp 6jF2  
    图6. 用户对话框的创建与编辑
    ?`Qw=8]`  
    图7. 用户对话框编辑器
    Z; Xg5  
    如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 P %f],f  
    余下的脚本计算与屈光度有关的所有参数。 H1rge<  
    }9t$Cs%  
    分析 wxVf6`  
    {NXc<0a(  
    屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 w-};\]I  
    aB"W6[  
    图7. 字母F在视网膜上颜色分析
    LGKkT?fcSC  
    脚本代码 LEvdPG$)  
    e~=fo#*2?@  
    Option Explicit     'Remove this to enable non-dimensioned variables to be used. /4+M0Pl  
    !YSAQi;I  
    Dim entity As T_ENTITY ~F^=7oq  
    Dim op As T_OPERATION -}@3,G  
    Dim mat As T_MODELMATERIAL 048BQ  
    Dim A As Double [>::@[  
    Dim pupilDiam As Double  d_gm'  
    Dim eID As Long o0&jel1a  
    Dim parID As Long L B1 ui  
    Dim count As Integer kM|akG  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double pbKDtqSn z  
    Dim tlens As Double, nlens As Double :X Er{X  
    Dim curv As Double, conic As Double CUfD[un2D  
    Dim ok As Long YuSe~~F)j  
    >/nS<y>  
    Sub Main QgO@oV*S  
    YOwo\'|=  
        '用户输入对话框 "12.Bi.O"[  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 S*Un$ngAh  
            TextBox 220,21,40,21,.TextBox1 'default: 0 t Krr5SRb  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 ."l@aE=|  
            OKButton 40,91,90,21 ;H /*%2  
            CancelButton 190,91,90,21 B5*{85p(u  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 `YAqR?Xj_<  
            TextBox 220,49,40,21,.TextBox2 'default: 4 2-j+-B|i  
        End Dialog J!O5`k*.C  
        Dim dlg As UserDialog HiCNs;t  
    GJai!$v  
        ok = Dialog (dlg) Q\&FuU  
    ]S<eO6z  
        If ok=0 Then    'cancel button was pressed Brr{iBz*"  
            Print "Execution cancelled." ZXljCiNn+\  
            End ^%-$8sV  
        End If U(]a(k<r  
    G$ XvxJ  
        'Assign accommodation and pupil diameter & use defaults if field left empty Gp'rN}i^  
        If dlg.TextBox1 = "" Then ;X-~C.7k  
            A = 0           'Default accommodation 1O*5>dkX;%  
        Else yjvzA|(YC  
            A = CDbl(dlg.TextBox1) >'wl)j$  
        End If "8%B (a 5A  
    &!]$#  
        If dlg.TextBox2 = "" Then xCF k1%qf  
            pupilDiam = 4   'Default pupil diameter ))|Wm}  
        Else K#H}=Y A  
            pupilDiam = CDbl(dlg.TextBox2) =i  }  
        End If \~d|MP}"F:  
    {[hH: \  
        Print " " 5:/ zbt\C  
        Print "Accommodation = " & A & " Diopters" s$css{(ek  
        Print "Pupil Diameter = " & pupilDiam & " mm" z(d@!Cd  
    &$tBD@7  
        ' Calculate new parameters with accommodation K@Q_q/(%;  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness )(~4fA5j)  
    mv|eEz)r  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens Wz}RJC7p  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens $D +6=m[  
    _ fha9`  
        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens l-xKfp`  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens J * $u  
    >Lp^QP1gU  
        tlens = 3.767 + 0.04*A                  'Lens thickness zQM3n =y  
    dqO!p6  
        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction \c3zK|^  
    |E-/b6G  
        'Adjust parameters to account for accommodation +gqtW8 6  
    >;kCcfS3ct  
        '************************************************************************* YMOy 6C  
        'Aqueous thickness (Position of Lens) -jnx0{/  
        '************************************************************************* xZW6Hk _  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) P1)f-:;  
        GetCustomElement eID, entity [~9rp]<  
    {i y[8eLg  
        parID = FindFullName( "Geometry.Arizona Eye" ) pV{MW#e  
    ,0%P3  
        ' Delete any shift(s) in z S/G6NBnbS  
        count = 0 N|K,{ p^li  
        While GetOperationCount(eID)>count L9nv05B  
            GetOperation eID, count, op OY7\*wc:  
            If op.Type="ShiftZ" Then 6*cG>I.Z  
                DeleteOperation eID,count l{F^"_U  
                count=count-1 sc'QNhrW  
            End If u,e'5,`N  
            count=count+1 Yn4c6K  
        Wend Ac;rMwXk#  
    c9imfA+e  
        'Set new shift in LWE[]1=  
        op.Type = "ShiftZ" H6(kxpOI\  
        op.val1 = taq ^N}zePy0  
        op.parent = parID g3Q]W(F%$  
        AddOperation eID, op qa wb9Iud0  
        Print "Set aqueous humor thickness = " & taq-0.55 }[XzM /t  
    im{'PgiR  
        '************************************************************************* H~E(~fl  
        'Radius and conic constant of anterior lens {WUW.(^]G  
        '************************************************************************* .4Ob?ZS(  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) 1| "s_m>g  
        GetConic eID, entity, curv, conic w='1uV<6  
    JR{3n*  
        SetConic eID, entity, 1/Rant, CCant >(5*y=\i  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant Q<W9<&VZe  
    @Aa$k:_  
        '************************************************************************* Z&FC:4!!  
        'Radius and conic constant of posterior lens %Z~, F?  
        '************************************************************************* k%-_z}:3V  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) Au jvKQ(  
        GetConic eID, entity, curv, conic %"^$$$6%  
    sW!pMkd_  
        SetConic eID, entity, 1/Rpost, CCpost U;Z6o1G  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost wLwAtjW)  
    Li~(kw3  
        '************************************************************************* x)0g31 4 9  
        'Lens thickness (Position of posterior lens surface) csE 9Ns  
        '************************************************************************* "+3p??h%Rq  
    'U ',9  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) # D"TY-$.=  
    |S48xsFvq  
        ' Delete any z-shift(s) wHm{4  
        count = 0 !9=hUpRN  
        While GetOperationCount(eID)>count `$oGgz6ZT  
            GetOperation eID, count, op hZ|*=/3k  
            If op.Type="ShiftZ" Then }M?\BH&  
                DeleteOperation eID,count *O-1zIlp  
                count=count-1 pOP`n3m0  
            End If N %N %  
            count=count+1 UwOZBF<  
        Wend ?8[,0l:|  
    DpjiE/*  
        'Set new z-shift %7=B?c |  
        op.Type = "ShiftZ" YW55iyM  
        op.val1 = tlens z`UL)W  
        op.parent = parID H_)\:gTG  
        AddOperation eID, op RM\it"g  
        Print "Set lens thickness = " & tlens K  +n  
    [tYly`F  
        '************************************************************************* MMg"G6?  
        'Lens index of refraction /Am,5X.   
        '************************************************************************* 0<*R 0  
        eID = FindMaterial( "Lens" ) Z$!>hiz2  
        GetModelMaterial eID, mat {^>dQ+Sx7  
    {<0=y#@u  
        mat.Nd = nlens &!> )EHGV  
        SetModelMaterial eID, mat X`bN/sI  
        Print "Set lens index of refraction = " & nlens f)w>V3~w,  
    O8:$sei$  
        '************************************************************************* am,UUJ+h>  
        'Pupil diameter )RA$E`!b  
        '************************************************************************* <#AS[Q[N  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) 8 CKN^8E  
    OB"Ur-hJ0  
        'Adjust pupil diameter (trimming volume inner hole) xGsg'  
    ut z.  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" P2_UQ  
    |9>?{ B\a  
        ' Adjust pupil location to just in front of the lens  fp!Ba  
        parID = FindFullName( "Geometry.Arizona Eye" ) #xL^S9P  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) ,ErJUv  
        count = 0 8a{S*  
        While GetOperationCount(eID)>count ?K, xxH  
            GetOperation eID, count, op &K2J$(.t  
            If op.Type="ShiftZ" Then y<r7_ysi  
                DeleteOperation eID,count USF&;M3  
                count=count-1 %oVoE2T{@  
            End If bOR1V\Jr$q  
            count=count+1 gP=(2EVE  
        Wend <=WSX{_D  
        op.Type = "ShiftZ" nXHU|5.I  
        op.val1 = taq-0.01 {p J{UJKv?  
        op.parent = parID y4* }E  
        AddOperation eID, op sOzmw^7   
    gC^4K9g  
        Print "Set pupil diameter = " & pupilDiam [/_M!&zz2  
    <P&~k\BuF{  
        'Update AZ Eye subassembly Description !V|i\O|Q2  
        eID = FindFullName( "Geometry.Arizona Eye" ) UeNa  
        GetEntity eID, entity JU^ {!u  
        entity.Description = "Accommodation = " & A & "D" >C,=elM  
        SetEntity eID, entity qK}4r5U  
    "fWAp*nI3t  
        Update N"-</kzV  
        Print "DONE!" Y rq-(  
         & h)G>Sqc  
    End Sub ')C %CAYW  
    cQkH4>C~  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: #$q~ZKB  
    ?VC[%sjwn  
    Accommodation = 4 Diopters >y&Db  
    Pupil Diameter = 4 mm Vgy}0pCl  
    Set aqueous humor thickness = 2.81 s;oDwT1  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 6zuWG0t  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 -h=K]Y{`  
    Set lens thickness = 3.927 EC[2rROn\  
    Set lens index of refraction = 1.42672 Z"spua5  
    Set pupil diameter = 4 &)F8i# M  
    DONE! +E.}k!y  
    q2Xm~uN`)  
    $`7cs}#  
    QQ:2987619807  P%#WeQ+  
     
    分享到