切换到宽版
  • 广告投放
  • 稿件投递
  • 繁體中文
    • 2197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
    6613
    光币
    27214
    光券
    0
    只看楼主 倒序阅读 楼主  发表于: 2021-10-22
    简介 ph%/;?wY  
    Bz9!a k~4  
    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。 hUB _[#8#  
    MBXumc_g  
    模型 yXR$MT+~  
    :s$ rD  
    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。 l>7`D3  
    "l n(EvW  
    Table 1. AZ眼睛模型的定义
    2m[z4V@`  
    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. a0CmCv2#  
    5Ee%!Pk  
    光源 e6QUe.S  
    t_x \&+W  
    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。 4mQ:i7~  
    g"hm"m}i  
    _CciU.1k&,  
    图1. 光源和提示信息使用
    _rY,=h{+  
    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。 M7fw/i  
    M{3He)&  
    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。 "S_t%m&R  
    ;6U=fBp7<  
    图2. 字母F光源的设定方法光 +/-#yfn!TR  
    O9dIobu4  
    图3. 字母F在视网膜上位置点列图
    V[5-A $ft  
    视网膜的散射 j0Kj>  
    f,k'gM{K  
    在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 y5RcJM  
    L#M9!  
    + ( `  
    图4. 视网膜朗伯散射设定
    4! XB?-.  
    注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 !WR(H&uBr\  
    iLws;3UX;x  
    506B =  
    图5. 视网膜重点采样规格设定
    k*w]a  
    脚本 #78p# E  
    jY(' ?3  
    内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: 1*Yf[;L  
    B<I%:SkF@  
    图6. 用户对话框的创建与编辑
    }'b 3'/MJ  
    图7. 用户对话框编辑器
    wbyY?tH  
    如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 +5JCbT@y  
    余下的脚本计算与屈光度有关的所有参数。 S>/p6}3]  
    h*Rh:yCR>  
    分析 G{pfyfF  
    )~rf x  
    屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 _rR+u56y-  
    X2}\i5{  
    图7. 字母F在视网膜上颜色分析
    <IC=x(T  
    脚本代码 \j+O |#`|)  
    lQ<2Vw#Yl  
    Option Explicit     'Remove this to enable non-dimensioned variables to be used. cuO(*%Is1  
    ^&03D5@LoY  
    Dim entity As T_ENTITY N/p9Ws  
    Dim op As T_OPERATION Vl%AN;o  
    Dim mat As T_MODELMATERIAL m$ )yd~  
    Dim A As Double d(3F:dbk  
    Dim pupilDiam As Double r`qMif'  
    Dim eID As Long =!w5%|r.  
    Dim parID As Long ,^pM]+NF|  
    Dim count As Integer @{iws@.  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double zH0%; o}  
    Dim tlens As Double, nlens As Double ug'I:#@2  
    Dim curv As Double, conic As Double A[ 9 @:z  
    Dim ok As Long n#uH^@#0  
    n (7m  
    Sub Main J;W(}"cFq  
    gbsRf&4h  
        '用户输入对话框 # =V%S 2~  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 ZR.1SA0x?O  
            TextBox 220,21,40,21,.TextBox1 'default: 0 Sf);j0G,D  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 m2E$[g  
            OKButton 40,91,90,21 |NJe4lw+?  
            CancelButton 190,91,90,21 SpPG  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 orVsMT[A  
            TextBox 220,49,40,21,.TextBox2 'default: 4 *Z>Yv37P  
        End Dialog ]( V+ qj  
        Dim dlg As UserDialog M#LQz~E  
    3~z4#8=  
        ok = Dialog (dlg) A{iI,IFe  
    hb9e6Cc  
        If ok=0 Then    'cancel button was pressed &$?e D{  
            Print "Execution cancelled." h!5^d!2,  
            End %C\Q{_AS  
        End If '%_1eaH  
    $#2ik~]>  
        'Assign accommodation and pupil diameter & use defaults if field left empty ?VrZM  
        If dlg.TextBox1 = "" Then bj\v0NKN4  
            A = 0           'Default accommodation '(mJ*Eb  
        Else 8Y*SZTzV  
            A = CDbl(dlg.TextBox1) a% |[m,FvP  
        End If [HI&>dm=$  
    .=~beTS'Vo  
        If dlg.TextBox2 = "" Then 9_h 3<3e  
            pupilDiam = 4   'Default pupil diameter nF~</>  
        Else `au(' xi<  
            pupilDiam = CDbl(dlg.TextBox2) z~Ph=1O>p  
        End If @[#U_T- I  
    _P 0,UgZz  
        Print " " fzO4S^mTo8  
        Print "Accommodation = " & A & " Diopters" b#bdz1@s  
        Print "Pupil Diameter = " & pupilDiam & " mm" [_hHZMTH  
    .281;] =  
        ' Calculate new parameters with accommodation >8_#L2@  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness py`RH )  
    -CfGWO#Gbx  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens s\i=-`  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens eZ5UR014  
    aehGT|  
        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens A"x1MjuqLM  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens Vo}3E]  
    lE:X~RO"~  
        tlens = 3.767 + 0.04*A                  'Lens thickness nv1'iSEeOl  
    'bGL@H  
        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction g <^Y^~+E  
    L@2%a'  
        'Adjust parameters to account for accommodation FL% GW:  
    >8Wvz.Nq/  
        '************************************************************************* }$!bD  
        'Aqueous thickness (Position of Lens) Oe4 l` =2  
        '************************************************************************* p.^mOkpt  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) Zs<}{`-  
        GetCustomElement eID, entity g66=3c9</6  
    2|@@xF  
        parID = FindFullName( "Geometry.Arizona Eye" ) ,oX48Wg_+  
    9 P_`IsVK  
        ' Delete any shift(s) in z c|3%0=,`  
        count = 0 ot]eaad  
        While GetOperationCount(eID)>count ]2(vO0~  
            GetOperation eID, count, op S>O fUrt  
            If op.Type="ShiftZ" Then K]' 84!l  
                DeleteOperation eID,count h^^zR)EVb  
                count=count-1 v39`ct=e  
            End If jIJVl \i]  
            count=count+1 r7Bv?M^!  
        Wend 9;2PoW8  
    V2sWcV?  
        'Set new shift in `fh^[Q|4n0  
        op.Type = "ShiftZ" J_YbeZ]  
        op.val1 = taq } [}u5T`w>  
        op.parent = parID 0#4_vg .  
        AddOperation eID, op GdG1e%y]z  
        Print "Set aqueous humor thickness = " & taq-0.55 *F*c  
    (rO_ Vfaa  
        '************************************************************************* 1}#v<b$  
        'Radius and conic constant of anterior lens Be}e%Rk  
        '************************************************************************* /:v+:-lU  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) GY<ErS)2  
        GetConic eID, entity, curv, conic ~ ui/Qf2|  
    C-d|;R}Ww  
        SetConic eID, entity, 1/Rant, CCant &?>h#H222  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant {PgB~|W  
    pw{3I 2Ix  
        '************************************************************************* eO;i1>  
        'Radius and conic constant of posterior lens BM=`zGh"  
        '************************************************************************* ,\!4 A  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) DLcfOOn1I  
        GetConic eID, entity, curv, conic ,!t1( H  
    -cs 4<  
        SetConic eID, entity, 1/Rpost, CCpost L,!?'.*/]  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost -q' np0H  
    UfjLNe}wA  
        '************************************************************************* :0IxnK(r&  
        'Lens thickness (Position of posterior lens surface) %F-/|x1#Q  
        '************************************************************************* I7TdBe-  
    6la# 0U23  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) L>+g;GJ  
    /tRzb8`  
        ' Delete any z-shift(s) _?>!Bz m  
        count = 0 mN +~fu h  
        While GetOperationCount(eID)>count 9+@"DuYc6  
            GetOperation eID, count, op #S2LQ5U  
            If op.Type="ShiftZ" Then kwNXKn/   
                DeleteOperation eID,count /*p4(D_A  
                count=count-1 Ntr5Q IPd  
            End If b9ysxuUdS  
            count=count+1 W!q 'wrIx(  
        Wend ^4(CO[|c~  
    pcXY6[#N  
        'Set new z-shift 3S1V^C-eBx  
        op.Type = "ShiftZ" S_LY>k?  
        op.val1 = tlens 0h!2--Aur  
        op.parent = parID h`+Gs{1qw  
        AddOperation eID, op HRIf)n&~f  
        Print "Set lens thickness = " & tlens MK9?81xd  
    b7R#tT  
        '************************************************************************* |57KTiiNLI  
        'Lens index of refraction r5Ej  
        '************************************************************************* WS9n.opl}  
        eID = FindMaterial( "Lens" ) w8:F^{  
        GetModelMaterial eID, mat K+2bN KZ0  
    S`2MQL  
        mat.Nd = nlens Gp9 >R~$  
        SetModelMaterial eID, mat 5&7)hMppI  
        Print "Set lens index of refraction = " & nlens }<7Dyn,  
    ac>}$Uw)  
        '************************************************************************* 8=gr F  
        'Pupil diameter r4t|T^{sl  
        '************************************************************************* P]!$MOt  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) $D5[12X  
    qyl~*r*  
        'Adjust pupil diameter (trimming volume inner hole) ?15k~1nA  
    y$s}-O]/-  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" n>>hfxv(O!  
    &<@ { d  
        ' Adjust pupil location to just in front of the lens jjBcoQU$o  
        parID = FindFullName( "Geometry.Arizona Eye" ) hor ok:{  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) &=fBqod  
        count = 0 R<LW*8  
        While GetOperationCount(eID)>count U#G uB&V  
            GetOperation eID, count, op I@cKiB  
            If op.Type="ShiftZ" Then G+4a%?JH  
                DeleteOperation eID,count I'"*#QOX  
                count=count-1 RL~|Kr<7J  
            End If QI~s~j  
            count=count+1 WzgzI/  
        Wend As@~%0 S  
        op.Type = "ShiftZ" X^%I 3  
        op.val1 = taq-0.01 ]]o7ej  
        op.parent = parID %s$_KG!&  
        AddOperation eID, op Xn.zN>mB  
    e;x`C  
        Print "Set pupil diameter = " & pupilDiam L6BHh_*E  
    kr8NKZ/  
        'Update AZ Eye subassembly Description Xfx(X4$9  
        eID = FindFullName( "Geometry.Arizona Eye" ) ERL(>)  
        GetEntity eID, entity mDip P  
        entity.Description = "Accommodation = " & A & "D" SynxMUlA  
        SetEntity eID, entity 598 xV|TON  
    #:T5_9p  
        Update WP32t@  
        Print "DONE!" L"zOa90ig  
         ; 5my(J*b  
    End Sub /.'1i4Xa1P  
    9^0 'VRG  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: ( NjX?^  
    yN{Ybp  
    Accommodation = 4 Diopters <S $Z  
    Pupil Diameter = 4 mm fouy??  
    Set aqueous humor thickness = 2.81 S7aSUt!  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 wX#\\Jgi  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 1|/2%IDUI  
    Set lens thickness = 3.927 Y+upZ@Ga  
    Set lens index of refraction = 1.42672 dp)lHBV  
    Set pupil diameter = 4 XT>e/x9'  
    DONE! BOL_kp"   
     
    分享到