切换到宽版
  • 广告投放
  • 稿件投递
  • 繁體中文
    • 1192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
    5734
    光币
    22822
    光券
    0
    只看楼主 正序阅读 楼主  发表于: 2020-12-09
    简介 H^1gy=kdj  
    VSOz.g>  
    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。 u}6v?!  
    /vE]2Io  
    模型 OuIv e>8  
    K X]oE+:  
    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。 oQ+61!5>  
    Gt/4F-Gn  
    Table 1. AZ眼睛模型的定义
    j?n+>/sG,  
    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. YnV/M,U  
    ?a/n<V '  
    光源 &~5=K  
    >CgO<\  
    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。 >{Rb 3Z]  
    +yt6(7V*  
    wX1ig  
    图1. 光源和提示信息使用
    <M[U#Q~?~e  
    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。 nv5u%B^  
    #WE]`zd  
    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。 6!EYrX}rI[  
    FuP/tTMU1a  
    图2. 字母F光源的设定方法光 Zzd/K^gg  
    w\|Ei(  
    图3. 字母F在视网膜上位置点列图
    3/M.0}e  
    视网膜的散射 |;;!8VO3J  
    Gg0#H^s( (  
    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。 `hB1b["(  
    h5@j`{  
    ACBQ3   
    图4. 视网膜朗伯散射设定
    VTe.M[:  
    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。 _py2kjA6  
    Jme%  
    a5`eyL[f  
    图5. 视网膜重点采样规格设定
    4?]oV%aP)  
    脚本 QV,E #(\5  
    zJ& b|L  
    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: ^>r^3C)_-  
    r25Z`X Z  
    图6. 用户对话框的创建与编辑
    jv}=&d  
    图7. 用户对话框编辑器
    -a) T6:e  
    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。 #7z|mVzH  
    余下的脚本计算与屈光度有关的所有参数。 ?9U:g(v  
    <lFY7' aY  
    分析 S6 }QFx  
    /! ^P)yU,  
    屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 j.c8}r&  
    C%H9[%k  
    图7. 字母F在视网膜上颜色分析
    aMCO"66b  
    脚本代码 8@7AE"  
    6 nGY^  
    Option Explicit     'Remove this to enable non-dimensioned variables to be used. #w~0uCzQ@  
    LC'F<MpM  
    Dim entity As T_ENTITY :Z2tig nL  
    Dim op As T_OPERATION kHU"AD}.  
    Dim mat As T_MODELMATERIAL M4<+%EV}  
    Dim A As Double }bfn_ G  
    Dim pupilDiam As Double ch,|1}bi  
    Dim eID As Long r<FQX3  
    Dim parID As Long F2oJ]th.3  
    Dim count As Integer F RH&B5w  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double SgSk !lj  
    Dim tlens As Double, nlens As Double $Qq_qTJu?G  
    Dim curv As Double, conic As Double >rRf9wO1l  
    Dim ok As Long r>3^kL5UI  
    F_PTMl=Q|J  
    Sub Main u:4["ViC  
    3hJH(ToO  
        '用户输入对话框 @6%gIsj<H  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 <3#<I)#  
            TextBox 220,21,40,21,.TextBox1 'default: 0 Oc-u=K,B  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 Z ps&[;R$-  
            OKButton 40,91,90,21 y\_wWE  
            CancelButton 190,91,90,21 i=da,W=0  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 ta! V=U  
            TextBox 220,49,40,21,.TextBox2 'default: 4 |e"/Mf[  
        End Dialog 1jOKcm'#  
        Dim dlg As UserDialog ?cBO6^  
    i_YW;x  
        ok = Dialog (dlg) '(9YB9 i  
    .wri5  
        If ok=0 Then    'cancel button was pressed -h9#G{2W[  
            Print "Execution cancelled." +wts 7,3  
            End e-!?[Ujv*%  
        End If <[8@5?&&  
    pDhY%w#  
        'Assign accommodation and pupil diameter & use defaults if field left empty ]|BojSL_  
        If dlg.TextBox1 = "" Then C@)pmSQ  
            A = 0           'Default accommodation |J?:91  
        Else AgI>  
            A = CDbl(dlg.TextBox1) WJcVQM s  
        End If '8Qw:fh  
    %LcH>sV  
        If dlg.TextBox2 = "" Then }MjQP R  
            pupilDiam = 4   'Default pupil diameter 1*#bfeoM  
        Else 9mm2Vps;  
            pupilDiam = CDbl(dlg.TextBox2) =WjJN Q  
        End If n>T:2PQ3  
    B<C&ay  
        Print " " GMT or  
        Print "Accommodation = " & A & " Diopters" c'~[!,[b<  
        Print "Pupil Diameter = " & pupilDiam & " mm" >@:667i,`  
    wzxdVn 'S  
        ' Calculate new parameters with accommodation ?+Hp?i$1  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness @4@PuWI0-  
    To^# 0  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens Y'&8L'2Z[  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens `;}H%  
    6mAB(X^+  
        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens a G@nErdW  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens *k!(ti[  
    )8bFGX7|  
        tlens = 3.767 + 0.04*A                  'Lens thickness z[Z2H5[  
    &! OGIYC(  
        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction 1M=   
    qdO[d|d  
        'Adjust parameters to account for accommodation Vbo5`+NAis  
    hLSTSD}  
        '************************************************************************* "]w!`^'_  
        'Aqueous thickness (Position of Lens) \P5>{ 2i  
        '************************************************************************* UIz:=DJ  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) U~CdU  
        GetCustomElement eID, entity {Evcc+E q  
    y]<#%Fh  
        parID = FindFullName( "Geometry.Arizona Eye" ) J2'W =r_#  
    htV#5SUx&  
        ' Delete any shift(s) in z W?=$V>)  
        count = 0 FQ0KU b}0  
        While GetOperationCount(eID)>count PaxK^*  
            GetOperation eID, count, op 0K/G&c?;=  
            If op.Type="ShiftZ" Then b h*^{  
                DeleteOperation eID,count @~s~/[  
                count=count-1 z'T=]- D  
            End If (Hl8U  
            count=count+1 8H7O/n  
        Wend /MhS=gVxM  
    Rnzqw,q  
        'Set new shift in %N>\:8 5?  
        op.Type = "ShiftZ" )tScc*=8  
        op.val1 = taq !e&rVoA  
        op.parent = parID rAM *\=  
        AddOperation eID, op Ny.*G@&  
        Print "Set aqueous humor thickness = " & taq-0.55 & &6*ez  
    l 4!kxXf-<  
        '*************************************************************************  WN$R[N  
        'Radius and conic constant of anterior lens 6zv;lx0<D&  
        '************************************************************************* 3IGCl w(  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) (=`Z0)=  
        GetConic eID, entity, curv, conic Z(KmS (  
    c%ZeX%p  
        SetConic eID, entity, 1/Rant, CCant VccM=w% *  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant 0r0c|*[+4z  
    hHCzj*5  
        '************************************************************************* \Bt =bu>Z  
        'Radius and conic constant of posterior lens <{E;s)hD?  
        '************************************************************************* Q! Kn|mnN  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) ax4*xxU  
        GetConic eID, entity, curv, conic s fyBw  
    3R'.}^RN  
        SetConic eID, entity, 1/Rpost, CCpost l6V%"Lo/)  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost ] xb]8]  
    vc )9Re$  
        '************************************************************************* K*HCFqr U"  
        'Lens thickness (Position of posterior lens surface) iD.0J/  
        '************************************************************************* ax<g0=^R  
    {a]pF.^kf  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) $4DFgvy$  
    yQ8M >H#J  
        ' Delete any z-shift(s) "EN98^ Sl  
        count = 0 3b+7^0frY#  
        While GetOperationCount(eID)>count 4g>1G qv6  
            GetOperation eID, count, op &}>|5>cJu  
            If op.Type="ShiftZ" Then tB GkRd!  
                DeleteOperation eID,count Yr5iZ~V$  
                count=count-1 SrdE>fNbs  
            End If a ZI>x^X  
            count=count+1 Y_$^:LG  
        Wend ^OsA+Ea\  
      YfTd  
        'Set new z-shift 4xv9a;fP  
        op.Type = "ShiftZ" EfFj!)fz  
        op.val1 = tlens ]#vWKNv:;  
        op.parent = parID \nC5 ,Rz  
        AddOperation eID, op ^a086n  
        Print "Set lens thickness = " & tlens w}IL 8L(D  
    3?.6K0L  
        '************************************************************************* mG>T`c|r3  
        'Lens index of refraction J'|=*#  
        '************************************************************************* _2]e1_=  
        eID = FindMaterial( "Lens" ) g!p+rq_f  
        GetModelMaterial eID, mat c zZrP"  
    01&*`0?  
        mat.Nd = nlens )WaX2uDA?  
        SetModelMaterial eID, mat qRgK_/[]  
        Print "Set lens index of refraction = " & nlens | \Ab L!u  
    -;l`hRW  
        '************************************************************************* M7`UoTc+>d  
        'Pupil diameter aw %>YrJ  
        '************************************************************************* .Q l;(Wyl  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) 3Qqnw{*  
    g ^D)x[  
        'Adjust pupil diameter (trimming volume inner hole) Sja"(sJ  
    ;[?J5X,  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" ^ze@#Cp  
    NFdJb\  
        ' Adjust pupil location to just in front of the lens db{NK wpj'  
        parID = FindFullName( "Geometry.Arizona Eye" ) 9QX&7cs&[  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) 6$W-?  
        count = 0 2Som0T<2  
        While GetOperationCount(eID)>count zb@L)%  
            GetOperation eID, count, op =@bXGMsV!  
            If op.Type="ShiftZ" Then O{;M6U8C\  
                DeleteOperation eID,count  JA }S{  
                count=count-1 :GN)7|:  
            End If h-z%C6  
            count=count+1 ^AovkK(p  
        Wend ,$hQ(yF  
        op.Type = "ShiftZ" K?z*3^^X;  
        op.val1 = taq-0.01 j zxf"X-  
        op.parent = parID 2&^,IIp  
        AddOperation eID, op (Q}PeKM?jq  
    ]3gYuz|  
        Print "Set pupil diameter = " & pupilDiam nG&w0de<>  
    <wIp$F.  
        'Update AZ Eye subassembly Description `77;MGg*  
        eID = FindFullName( "Geometry.Arizona Eye" ) S#dyRTmI  
        GetEntity eID, entity !1ie:z>s  
        entity.Description = "Accommodation = " & A & "D" tEi@p;Z>  
        SetEntity eID, entity !mw{T D  
    1G e)p4  
        Update =2ATqb"$w  
        Print "DONE!" NTpz)R  
         r?Ev.m  
    End Sub ANA2S*r  
    &*V0(  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: &%_y6}xIw  
    Q1N,^71  
    Accommodation = 4 Diopters 9*G L@_c  
    Pupil Diameter = 4 mm 9m<X-B&P  
    Set aqueous humor thickness = 2.81 /ieu)m:2  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 uAPLT~  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 EvGUj$  
    Set lens thickness = 3.927 e3HF"v]2!  
    Set lens index of refraction = 1.42672 n:}MULy;  
    Set pupil diameter = 4 @&am!+z  
    DONE! 1s^$oi}  
    ^)eessZ  
    Gaw,1Ow!`2  
    QQ:2987619807 -r6(=A  
     
    分享到