切换到宽版
  • 广告投放
  • 稿件投递
  • 繁體中文
    • 1595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
    6441
    光币
    26350
    光券
    0
    只看楼主 倒序阅读 楼主  发表于: 2020-12-09
    简介 c.eUlr_ {  
    Jmml2?V-c  
    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。 E rrs6  
    -FGM>~x  
    模型 hqW),^\>'  
    /_D_W,#P  
    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。 'o]kOp@q  
    Iy#=Nq=  
    Table 1. AZ眼睛模型的定义
    {bP )Fon  
    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. s J{J@/5  
    ]pq(Q:"P,5  
    光源 /iw$\F |8  
    VxAG= E  
    多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 4G3u8)b=  
    HPc~wX  
    [aF"5G  
    图1. 光源和提示信息使用
    =fcM2O#$  
    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。 ''?iJFR  
    Qv}TUX4  
    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。 ;u*I#)7  
    \&MJ(F>vJ  
    图2. 字母F光源的设定方法光 qHl>d*IZ  
    E;rS"'D:  
    图3. 字母F在视网膜上位置点列图
    X#<+D1P  
    视网膜的散射 ^e{]WH?  
    ' +f(9/  
    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。 "8iIOeY-\  
    _lBHZJ+  
    "DC L Z  
    图4. 视网膜朗伯散射设定
    M3VTzwuf^S  
    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。 <%N*IE"q  
    @gnLY  
    hYbaVE  
    图5. 视网膜重点采样规格设定
    !B v.@~  
    脚本 <)a7Nrc\T  
    ^O QeOTF  
    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: T"/dn%21  
    GMlJM  
    图6. 用户对话框的创建与编辑
    iyv5\  
    图7. 用户对话框编辑器
    Gzc`5n{"  
    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。 %z6_,|%  
    余下的脚本计算与屈光度有关的所有参数。 <8ih >s(C  
    ENy$sS6[D  
    分析 vc C"  
    DEW;0ic  
    屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 F<4>g+Ag  
    Zd}12HFq  
    图7. 字母F在视网膜上颜色分析
    NXMZTZpB7  
    脚本代码 u&Yd+');  
    .#}A/V.-Y  
    Option Explicit     'Remove this to enable non-dimensioned variables to be used. '<U4D  
    ! NJGW  
    Dim entity As T_ENTITY *G8Z[ht%r  
    Dim op As T_OPERATION &S39SV  
    Dim mat As T_MODELMATERIAL /5X_gjOL,  
    Dim A As Double ~t<uX "K  
    Dim pupilDiam As Double VA @  
    Dim eID As Long Vy6~O|68=  
    Dim parID As Long sD$K<nyz  
    Dim count As Integer x^Zm:Jrw~  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double D67z6jep(  
    Dim tlens As Double, nlens As Double L;=3n[^x  
    Dim curv As Double, conic As Double ?-'GbOr!  
    Dim ok As Long nG%<n  
    `S A1V),~  
    Sub Main _:>t$* _  
    7AF6aog  
        '用户输入对话框 deEc;IAo  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 \A6 }=  
            TextBox 220,21,40,21,.TextBox1 'default: 0 !p Q*m`Xo  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 ,0eXg  
            OKButton 40,91,90,21 kDG?/j90D  
            CancelButton 190,91,90,21 VAp 1{  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 uANpqT}!  
            TextBox 220,49,40,21,.TextBox2 'default: 4 T^ - -:1  
        End Dialog ^iWJqpLe  
        Dim dlg As UserDialog }L @~!=q*  
    6,!$S2(zT  
        ok = Dialog (dlg) U, 8mYv2|  
    /m4Y87  
        If ok=0 Then    'cancel button was pressed Rm}G4Pq  
            Print "Execution cancelled." y Z)-=H  
            End @O|`r(le  
        End If o(C;;C(*{  
    Z4g<Ys*  
        'Assign accommodation and pupil diameter & use defaults if field left empty @ V_i%=go  
        If dlg.TextBox1 = "" Then o7^0Lo5Z?  
            A = 0           'Default accommodation lQv (5hIm  
        Else bAld'z#  
            A = CDbl(dlg.TextBox1) j Y(|z*|  
        End If 7=s7dYlu  
    8@ f+?g*i  
        If dlg.TextBox2 = "" Then -XnOj2  
            pupilDiam = 4   'Default pupil diameter nUK;M[  
        Else %~M#3Ywa  
            pupilDiam = CDbl(dlg.TextBox2) 'wWuR@e#&  
        End If ^a$L9p(  
    :m36{#  
        Print " " `NNP}O2  
        Print "Accommodation = " & A & " Diopters" %r&36d'  
        Print "Pupil Diameter = " & pupilDiam & " mm" 2cwJ);Eg2  
    Ya-GDB;L  
        ' Calculate new parameters with accommodation Qjd]BX;  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness "bz.nE*  
    "N)InPR-  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens -C8LM ls  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens )@<HG$#  
    0<##8m@F8  
        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens m}f{o  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens T-]UAN"O  
    ge1U1o  
        tlens = 3.767 + 0.04*A                  'Lens thickness 6R*eJICN  
    +:W?:\  
        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction p.H`lbVY  
    ,!X:wY}dW  
        'Adjust parameters to account for accommodation o6:@j#b  
    i^8w0H<-@v  
        '************************************************************************* ..w$p-1  
        'Aqueous thickness (Position of Lens) TmK8z  
        '************************************************************************* Gyrc~m[$  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) MHGaf`7ro  
        GetCustomElement eID, entity w ~^{V4V  
    c=^69>w  
        parID = FindFullName( "Geometry.Arizona Eye" ) %cJdVDW`L  
    ,1]VY/  
        ' Delete any shift(s) in z )|#ExyRO  
        count = 0 O-box?  
        While GetOperationCount(eID)>count ,@I\'os  
            GetOperation eID, count, op MZqHL4<|  
            If op.Type="ShiftZ" Then J% ZM V  
                DeleteOperation eID,count >U?#'e{qW  
                count=count-1 +{}p(9w@  
            End If Sy<io@df  
            count=count+1 er2;1TW3E  
        Wend b< []z,  
    ,b?G]WQrHs  
        'Set new shift in tK `A_hC  
        op.Type = "ShiftZ" ~#)9Kl7<X  
        op.val1 = taq 9$}> O]  
        op.parent = parID b@sq}8YD|z  
        AddOperation eID, op Do5{t'm3  
        Print "Set aqueous humor thickness = " & taq-0.55 .y0u"@iF  
    @}uo:b:Q  
        '************************************************************************* qk>M~,  
        'Radius and conic constant of anterior lens c(Fo-4K  
        '************************************************************************* ]\]mwvLT  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) P7REE_<1  
        GetConic eID, entity, curv, conic &B++ "f  
    [?(qhp!  
        SetConic eID, entity, 1/Rant, CCant j 20m Z  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant *Wcq'S  
    bjN"H`Q  
        '************************************************************************* )Y"t$Iw"  
        'Radius and conic constant of posterior lens )i\foSbB`V  
        '************************************************************************* +ZV?yR2yn  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) )bpdj,  
        GetConic eID, entity, curv, conic J7~Kjl  
    tf1Y5P$  
        SetConic eID, entity, 1/Rpost, CCpost {UF|-VaG  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost =#wE*6T9  
    AJ6O>Euq  
        '************************************************************************* @V+KL>Qw  
        'Lens thickness (Position of posterior lens surface) ;<%d^   
        '************************************************************************* 84s:cO  
    2uMSeSx$  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) &ha<pj~  
    W 9bpKmc  
        ' Delete any z-shift(s) jO`L:D/C  
        count = 0 E~8J<g E  
        While GetOperationCount(eID)>count KqNsCT+j  
            GetOperation eID, count, op g Eq6[G  
            If op.Type="ShiftZ" Then @[n%q.|VB  
                DeleteOperation eID,count D2io3Lo$ov  
                count=count-1 B74]hgK  
            End If ?3i<^@?  
            count=count+1 1-R4A7+3  
        Wend RhE|0N=  
    g%D.sc)69  
        'Set new z-shift APU~y5vG (  
        op.Type = "ShiftZ" -cUw}  
        op.val1 = tlens "\M3||.!  
        op.parent = parID =S\pI  
        AddOperation eID, op Hq,N OP  
        Print "Set lens thickness = " & tlens 'o7V6KG  
    NIC.c3  
        '************************************************************************* %*Yb J_j7  
        'Lens index of refraction 0_t9;;y :  
        '************************************************************************* mk6>}z*  
        eID = FindMaterial( "Lens" ) u0$}VO5/a  
        GetModelMaterial eID, mat *O-m:M!eA  
    (&/~q:a>   
        mat.Nd = nlens v,US4C|^3i  
        SetModelMaterial eID, mat 0iz\<' p  
        Print "Set lens index of refraction = " & nlens G@<[fO|Iam  
    E clsOBg  
        '************************************************************************* pz.fZV  
        'Pupil diameter $tK/3  
        '************************************************************************* %B| Ca&  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) YCyh+%Q(  
    VxU{ZD~<Z"  
        'Adjust pupil diameter (trimming volume inner hole) VZ2CWE)t  
    @X_)%Y-^O  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" `<% w4 E  
    ,LL=b-Es  
        ' Adjust pupil location to just in front of the lens jW}hLjlN  
        parID = FindFullName( "Geometry.Arizona Eye" ) F5\{`  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) -?ebkHe  
        count = 0 6{ pg^K  
        While GetOperationCount(eID)>count Pa ^_ s  
            GetOperation eID, count, op t\\<+^[%  
            If op.Type="ShiftZ" Then IN"6 =2:  
                DeleteOperation eID,count rwAycW7  
                count=count-1 ?nf4K/IjZ!  
            End If %O>_$ 4q  
            count=count+1 )N&95\ u  
        Wend m .^WSy  
        op.Type = "ShiftZ" .?r} 3Ch  
        op.val1 = taq-0.01 B> zQ[e@t  
        op.parent = parID u/5)Yx+5_  
        AddOperation eID, op PxJvE*6^H  
    }]j#C  
        Print "Set pupil diameter = " & pupilDiam *,wW-8  
    '8|joj>G=  
        'Update AZ Eye subassembly Description CW~c<,"  
        eID = FindFullName( "Geometry.Arizona Eye" ) 0Rh*SoYrC  
        GetEntity eID, entity &GI'-i  
        entity.Description = "Accommodation = " & A & "D" .kDJuJ^  
        SetEntity eID, entity 1xsB@D  
    !:1BuiL  
        Update IZZ $p{  
        Print "DONE!" gE6{R+sp  
         #LG<o3An  
    End Sub szy2"~hm  
    OC`Mzf%.  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: KocNJ TB  
    N\ zUQ J  
    Accommodation = 4 Diopters Kj|\ALI':  
    Pupil Diameter = 4 mm >7QC>ws%  
    Set aqueous humor thickness = 2.81 DXfQy6k'  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 7:OF>**  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 [<#`@Kr  
    Set lens thickness = 3.927 l/bZE.GJ  
    Set lens index of refraction = 1.42672 BNbz{tbX"  
    Set pupil diameter = 4 0JLQ.%_  
    DONE! *BQy$dfE  
    Q_|Lv&  
    u:\DqdlU`  
    QQ:2987619807 *GM.2``e  
     
    分享到