切换到宽版
  • 广告投放
  • 稿件投递
  • 繁體中文
    • 14197阅读
    • 0回复

    [转载]FRED运用:Arizona眼睛模型 [复制链接]

    上一主题 下一主题
    离线xunjigd
     
    发帖
    952
    光币
    9
    光券
    0
    只看楼主 倒序阅读 楼主  发表于: 2016-02-24
    简介 =gB{(  
    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。 lo >:S1  
    %cMayCaI!@  
    模型 AkqGk5e ^  
    tkix@Q!;\  
    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。 qSVg.<+  
    JnH5v(/  
    Table 1. AZ眼睛模型的定义
    K*MI8')  
    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. 6Qm .k$[  
    A5dH*< }  
    光源 5g4c1K  
    (b1rd  
    多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 ,!^w  
    :Z5kiEwYM  
    ~HgN'#Y?  
    图1. 光源和提示信息使用
    OoAZ t  
    除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 VzFzVeJ  
    xm<sH!,j  
    在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 inx0W3d"T  
    -IS?8\ Q<  
    图2. 字母F光源的设定方法光 &sPu 3.p  
    QjUojHz%Z  
    图3. 字母F在视网膜上位置点列图
    ]GHx<5Q:\  
    视网膜的散射 {S5D~A*a+  
    }4I;<%L3`  
    在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 P,Rqv)}X  
    9\NP)Vm$^  
    t+SLU6j,  
    图4. 视网膜朗伯散射设定
    <Xj ,>2m;  
    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。 y/A<eHLy  
    OBp/:]  
    X 7"hTD  
    图5. 视网膜重点采样规格设定
    N6-bUM6%I  
    脚本 _:;j)J0  
    p/uOCQ|1l  
    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: ?"q S%EH  
    9]/j u  
    图6. 用户对话框的创建与编辑
    ,k3aeM~`%w  
    图7. 用户对话框编辑器
    S{ !m})1?  
    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。 Hz<)a(r!J  
    余下的脚本计算与屈光度有关的所有参数。 nnO@$T  
    Tn3f5ka'  
    分析 I*)eP||  
    Z})n%l8J]p  
    屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 4&LoE~  
    F1o"H/:n  
    图7. 字母F在视网膜上颜色分析
    ^l/$ 13=  
    脚本代码 ud.Bzg:/  
    oWc +i U(  
    Option Explicit     'Remove this to enable non-dimensioned variables to be used. #3u471bp  
    pNzGpCk  
    Dim entity As T_ENTITY U_,K_6vj  
    Dim op As T_OPERATION MtO p][i  
    Dim mat As T_MODELMATERIAL '}wYSG-  
    Dim A As Double ?|9$o/Q}  
    Dim pupilDiam As Double D+  **o  
    Dim eID As Long {VE$i2nC8  
    Dim parID As Long KBFAV&  
    Dim count As Integer %z0@4G q  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double 5Gsj;   
    Dim tlens As Double, nlens As Double {*C LWs4  
    Dim curv As Double, conic As Double 9qQFIw~S  
    Dim ok As Long s2ys>2k  
    H{T)?J~  
    Sub Main HCifO  
    *ha9Vq@X  
        '用户输入对话框 D r$N{d  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 pf`li]j'V  
            TextBox 220,21,40,21,.TextBox1 'default: 0 |KC3^  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 G1'w50Yu  
            OKButton 40,91,90,21 r4qFEFV3%  
            CancelButton 190,91,90,21 5+O#5" v_  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 <!|2Ru  
            TextBox 220,49,40,21,.TextBox2 'default: 4 v+=_  
        End Dialog O_PC/=m1@  
        Dim dlg As UserDialog n1W}h@>8  
    vu.f B4  
        ok = Dialog (dlg) ~ +$l9~`{  
    U-s6h;^ O  
        If ok=0 Then    'cancel button was pressed n%<.,(.(S  
            Print "Execution cancelled." 7_/.a9$G  
            End (Qq$ql27  
        End If #UJ@P Dwil  
    3-8Vw$u  
        'Assign accommodation and pupil diameter & use defaults if field left empty BWX&5""  
        If dlg.TextBox1 = "" Then 4p~:(U[q  
            A = 0           'Default accommodation %GS)9{T&  
        Else MU&5&)m  
            A = CDbl(dlg.TextBox1) Ck.GN<#-^P  
        End If Ec6{?\  
    1|cmmUM-'v  
        If dlg.TextBox2 = "" Then Gf'V68,l$  
            pupilDiam = 4   'Default pupil diameter I|O~F e.  
        Else tY :-13F  
            pupilDiam = CDbl(dlg.TextBox2) O!]w J  
        End If +V8yv-/{  
    .+B)@?  
        Print " " 3G8uXB_`}  
        Print "Accommodation = " & A & " Diopters" l>&)_:\  
        Print "Pupil Diameter = " & pupilDiam & " mm" oa1a5+ A  
    Vq'&t<K#  
        ' Calculate new parameters with accommodation  (lPNMS|V  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness y9)l,@D  
    Ruk6+U  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens ~0 FqY &4  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens $C)@GGY  
    Z gU;=.  
        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens 0 q3<RX>M%  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens {@ , L  
    iy: ;g  
        tlens = 3.767 + 0.04*A                  'Lens thickness kx UGd)S  
    ,.}PZL  
        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction IW BVfN->}  
    >LU*F|F]B  
        'Adjust parameters to account for accommodation _Wb-&6{  
    Mc6Cte]3|  
        '************************************************************************* Iwn@%?7  
        'Aqueous thickness (Position of Lens) 0`ib_&yI  
        '************************************************************************* aQ~x$T|  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) b]g.>$[nX  
        GetCustomElement eID, entity {G{@bUG]p  
    $qrr]U  
        parID = FindFullName( "Geometry.Arizona Eye" ) Io"=X! k  
    wA~Nfn ^  
        ' Delete any shift(s) in z 'FUPv61()  
        count = 0 >Ia(g0  
        While GetOperationCount(eID)>count ~IWi @m{  
            GetOperation eID, count, op d,)F #;^5  
            If op.Type="ShiftZ" Then g*tLqV  
                DeleteOperation eID,count <zDe;&  
                count=count-1 ca-n:1  
            End If  7:p]~eM)  
            count=count+1 TwhK>HN  
        Wend z vYDE]  
    $cy:G  
        'Set new shift in */+s^{W7  
        op.Type = "ShiftZ" e-K8K+7  
        op.val1 = taq {oJa8~P  
        op.parent = parID :<v$vER,&  
        AddOperation eID, op \rN_CBM  
        Print "Set aqueous humor thickness = " & taq-0.55 ) k2NF="o  
    JX/d;N7a  
        '************************************************************************* &4%J35~  
        'Radius and conic constant of anterior lens 7lj-Z~1  
        '************************************************************************* GB+d0 S4  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) 6b8Klrar!  
        GetConic eID, entity, curv, conic ^+wzm2i  
    :cEe4a  
        SetConic eID, entity, 1/Rant, CCant ]`kvq0Gyb  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant 7cy~qg  
    RQ'c~D)X  
        '************************************************************************* <Ztda !  
        'Radius and conic constant of posterior lens lKD@2  
        '************************************************************************* (hV"z;rI  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) v}Nx*%  
        GetConic eID, entity, curv, conic jlP7'xt1%  
    &e)p6Egl  
        SetConic eID, entity, 1/Rpost, CCpost 3"hR:'ts  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost A-u5  
    0X-2).n u  
        '************************************************************************* )/AvWDKvO  
        'Lens thickness (Position of posterior lens surface) BT1'@qF  
        '************************************************************************* Y_B 4s-  
    S- \lN|  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) ,+BgY4OY  
    N9PM.nbd%  
        ' Delete any z-shift(s) T ?? aVe]c  
        count = 0 7EO&:b]  
        While GetOperationCount(eID)>count MdjLAD)f+C  
            GetOperation eID, count, op ;X6y.1N~  
            If op.Type="ShiftZ" Then kC5,yj  
                DeleteOperation eID,count .%<&W1  
                count=count-1 9"RfL7{  
            End If )l}wjKfgO  
            count=count+1 u_"h/)C'H  
        Wend I}v#r8'!  
    &NQR*Tn  
        'Set new z-shift Kzu9Qm-+z^  
        op.Type = "ShiftZ" B3t>M) 9  
        op.val1 = tlens ?t42=nvf  
        op.parent = parID c):*R ]=  
        AddOperation eID, op @/(7kh +  
        Print "Set lens thickness = " & tlens j1C.#-P[  
    9tEKA|8  
        '************************************************************************* kAliCD)  
        'Lens index of refraction &FVlTo1  
        '************************************************************************* Hu7zmh5FF  
        eID = FindMaterial( "Lens" ) 4Z<l>!  
        GetModelMaterial eID, mat @<=#i  
    tQaCNS$=  
        mat.Nd = nlens {:X];A$  
        SetModelMaterial eID, mat 9y*! W  
        Print "Set lens index of refraction = " & nlens ]r1{%:8  
    %Nl(Y@dD*  
        '************************************************************************* O mIBk  
        'Pupil diameter j/pQSlV  
        '************************************************************************* f{c[_OR  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) Kn$1W=B1.  
    "BfmX0&?  
        'Adjust pupil diameter (trimming volume inner hole) aQ:f"0fL  
    5)5bt q)[  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" Hk*cO;c  
    m=,c,*>  
        ' Adjust pupil location to just in front of the lens %,cFX[D/)  
        parID = FindFullName( "Geometry.Arizona Eye" ) Pq>[q?>?  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) +%\j$Pv  
        count = 0 VFSn!o:C  
        While GetOperationCount(eID)>count 2\\3<  
            GetOperation eID, count, op e=UVsYNx  
            If op.Type="ShiftZ" Then *b{lL5  
                DeleteOperation eID,count ]U1,NhZu  
                count=count-1 Q]5^Eiq8  
            End If QU!'W&F6  
            count=count+1 T$8~9 qx  
        Wend Z"|P(]A  
        op.Type = "ShiftZ" AE4~M`6D  
        op.val1 = taq-0.01 GR[>mkW!M  
        op.parent = parID &N_c-@2O  
        AddOperation eID, op N$&ePU J  
    Cj 2 Xl  
        Print "Set pupil diameter = " & pupilDiam U.7y8#qf3R  
    tq:tY}:4  
        'Update AZ Eye subassembly Description ?b7g9 G4  
        eID = FindFullName( "Geometry.Arizona Eye" ) <ii1nz  
        GetEntity eID, entity UdW(\%  
        entity.Description = "Accommodation = " & A & "D" * m&: Yje  
        SetEntity eID, entity Cm;qDvj+u  
    ZHF(q6T  
        Update _<*GU@  
        Print "DONE!" RL Zf{Q>  
         &:CjUaP@  
    End Sub 1 j^c  
    zMYd|2bc  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: m?VRX .>  
    7 Y>`-\  
    Accommodation = 4 Diopters a950M7  
    Pupil Diameter = 4 mm )Ct*G= N  
    Set aqueous humor thickness = 2.81 -?B9>6 h "  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 42>m,fb2[  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 soq".+Q  
    Set lens thickness = 3.927 99Yo1Q 0  
    Set lens index of refraction = 1.42672 %FyygTb;S  
    Set pupil diameter = 4 G(0y|Eq  
    DONE! 2vkB<[tSs  
    s9rtXBJP  
    (文章来源:讯技光电)
     
    分享到