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    [技术]Arizona眼睛模型 [复制链接]

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    只看楼主 倒序阅读 楼主  发表于: 2021-10-22
    简介 8L1ohj  
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    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。 kZ=s'QRgL  
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    模型 ^`D=GF^tX  
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    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。 sk|=% }y  
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    Table 1. AZ眼睛模型的定义
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    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. d;+[i  
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    光源 W<<9y  
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    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。 b,IocD6v;P  
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    图1. 光源和提示信息使用
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    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。  P5gN#G  
    :h1pBEiH  
    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。 Eaqca{%/^  
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    图2. 字母F光源的设定方法光 Pe2wsR"_U  
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    图3. 字母F在视网膜上位置点列图
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    视网膜的散射 Ap$y%6  
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    在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 .6~`Ubr}E  
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    图4. 视网膜朗伯散射设定
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    注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 tV/Z)fpyH  
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    图5. 视网膜重点采样规格设定
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    脚本 s9oO%e<  
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    内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: 9,]5v +  
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    图6. 用户对话框的创建与编辑
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    图7. 用户对话框编辑器
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    如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 B[9 (FRX  
    余下的脚本计算与屈光度有关的所有参数。 cubUq5  
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    分析 KTEZ4K^o=  
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    屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 nNmsr=y5  
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    图7. 字母F在视网膜上颜色分析
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    脚本代码 H UWxPIu  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. EC6k{y}bA  
    !q"CV  
    Dim entity As T_ENTITY q*)+K9LRk  
    Dim op As T_OPERATION _KD5T4FZR  
    Dim mat As T_MODELMATERIAL ~svO*o Wa  
    Dim A As Double 5y4u5Tm-%  
    Dim pupilDiam As Double kVS?RHR  
    Dim eID As Long (5$ZvXx?}  
    Dim parID As Long  8%RI7Mg  
    Dim count As Integer N{d@^Yj  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double j*;N\;iL!*  
    Dim tlens As Double, nlens As Double W0cgI9=9  
    Dim curv As Double, conic As Double VK3it3FI>3  
    Dim ok As Long kJ)gP2E  
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    Sub Main DW(~Qdk  
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        '用户输入对话框 r(2 R <A  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 G"y.Z2$  
            TextBox 220,21,40,21,.TextBox1 'default: 0 SJgY  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 /OGA$eP  
            OKButton 40,91,90,21 v$w++3H  
            CancelButton 190,91,90,21 "zZI S6j  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 l+y-Fo@  
            TextBox 220,49,40,21,.TextBox2 'default: 4 Rn+4DcR  
        End Dialog l)+:4N?iVv  
        Dim dlg As UserDialog sNU}n<J-  
    }lZ>  
        ok = Dialog (dlg) yy(A(}  
    +1;'B4  
        If ok=0 Then    'cancel button was pressed _ :^ 7a3I  
            Print "Execution cancelled." $1*3!}_0  
            End }{],GHCjQ  
        End If gY9\o#)<  
    ~0-g%C?R  
        'Assign accommodation and pupil diameter & use defaults if field left empty t"s5\;IJ  
        If dlg.TextBox1 = "" Then ^~ L}<]  
            A = 0           'Default accommodation u@.>WHQN  
        Else $(HjI \%l^  
            A = CDbl(dlg.TextBox1) ,|To#umym>  
        End If q'(z #h,cv  
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        If dlg.TextBox2 = "" Then 6/mF2&&g  
            pupilDiam = 4   'Default pupil diameter So4nJ><p  
        Else B/eaqJ  
            pupilDiam = CDbl(dlg.TextBox2) GHN3PEJ>  
        End If &:#m&,tQ  
    ;6DnId2Zh  
        Print " "  ,-rB=|w  
        Print "Accommodation = " & A & " Diopters" =3ADT$YHd  
        Print "Pupil Diameter = " & pupilDiam & " mm" !Ua&0s%  
    t%+$" nP  
        ' Calculate new parameters with accommodation %AR^+*Nu  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness >#N[GrJAE  
    E8-53"m  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens V_a)jJ  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens m4/}Jx[  
    .2X2b<%)  
        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens VO`"<  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens ; Zq/eiB  
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        tlens = 3.767 + 0.04*A                  'Lens thickness YBSl-G'  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction \{PNwF?  
    +8^_D?*\n  
        'Adjust parameters to account for accommodation C{Blqf3V0  
    <TjBd1  
        '************************************************************************* &(O06QL  
        'Aqueous thickness (Position of Lens) 8wF#e\Va0  
        '************************************************************************* D<nxr~pQ  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) S;}qLjT  
        GetCustomElement eID, entity v.`+I-\.z)  
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        parID = FindFullName( "Geometry.Arizona Eye" ) 3Xdn62[&  
    #AncOo  
        ' Delete any shift(s) in z g@E&uyM  
        count = 0 !Z/$}xxj  
        While GetOperationCount(eID)>count sb'p-Mj  
            GetOperation eID, count, op aIu2>  
            If op.Type="ShiftZ" Then *ro.mQ_  
                DeleteOperation eID,count 0$2={s4ze  
                count=count-1 ahp1!=Z-=  
            End If z~.9@[LG]  
            count=count+1 @)z*BmP  
        Wend fq Y1ggL  
    7!- \L7<  
        'Set new shift in & s-VSu7  
        op.Type = "ShiftZ" 8_iHVc;<  
        op.val1 = taq d;g-3Pf  
        op.parent = parID T~:_}J  
        AddOperation eID, op I*c;hfu  
        Print "Set aqueous humor thickness = " & taq-0.55 Mdky^;qq3;  
    *8206[y  
        '************************************************************************* MF|*AB|E  
        'Radius and conic constant of anterior lens ~'[jBn)  
        '************************************************************************* [|<EDR  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) {]M>Y%j48  
        GetConic eID, entity, curv, conic B"[{]GP BY  
    :A*0]X;  
        SetConic eID, entity, 1/Rant, CCant FF@`+T  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant > Z++^YVE  
    lWlUWhLnP  
        '************************************************************************* ^^ j/  
        'Radius and conic constant of posterior lens fKYKW?g;)Z  
        '************************************************************************* -eq =4N=s  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) xSOoIsL[  
        GetConic eID, entity, curv, conic uTw|Q{f  
    s*+ZYPk  
        SetConic eID, entity, 1/Rpost, CCpost Z^+a*^w~{  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost tnL."^%A2I  
    /Tcb\:`9  
        '************************************************************************* 2*YP"Ryh  
        'Lens thickness (Position of posterior lens surface) ?.j,Bq5At  
        '************************************************************************* *JS"(. '(  
    r8+*|$K  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) (n}%a6M  
    =N;$0 Y(g  
        ' Delete any z-shift(s) xiJz`KD&  
        count = 0 c&A]pLn+x  
        While GetOperationCount(eID)>count I1~G$)w#  
            GetOperation eID, count, op EaCZx  
            If op.Type="ShiftZ" Then &*ZC0V3  
                DeleteOperation eID,count .f+9 A>  
                count=count-1 Hp*gv/0  
            End If Z]p8IH%~92  
            count=count+1 3f,u}1npa*  
        Wend >eu `!8  
    hOl=W |)v  
        'Set new z-shift L-MiaKcL  
        op.Type = "ShiftZ" G ;jF9i  
        op.val1 = tlens 5{HtJ?sKc5  
        op.parent = parID -P*xyI  
        AddOperation eID, op F[(6*/46x  
        Print "Set lens thickness = " & tlens !rz)bd3$  
    &E`9>&~J  
        '************************************************************************* 5(KG=EHj_  
        'Lens index of refraction 6l<1A$BQ  
        '************************************************************************* EuLXtq  
        eID = FindMaterial( "Lens" ) G+fd.~aGE  
        GetModelMaterial eID, mat oAC^4-Ld  
    C*$|#.l  
        mat.Nd = nlens yX3PUO9  
        SetModelMaterial eID, mat 6,a%&1_  
        Print "Set lens index of refraction = " & nlens %OuX`w=  
    Sr-|,\/O  
        '************************************************************************* _>;&-e  
        'Pupil diameter 2[XltjO  
        '************************************************************************* ,v|CombIc.  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) FSFFk~  
    Bmmb  
        'Adjust pupil diameter (trimming volume inner hole)  JUmw$u  
    xa' nJ"f;  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" H 'D#s;SlR  
    `~0P[>|+  
        ' Adjust pupil location to just in front of the lens pEY>A_F  
        parID = FindFullName( "Geometry.Arizona Eye" ) +tPx0>p;  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) m\/>C|f\  
        count = 0 P_v0))n{  
        While GetOperationCount(eID)>count w< v1 N  
            GetOperation eID, count, op <&KLo>B^  
            If op.Type="ShiftZ" Then r+SEw ;  
                DeleteOperation eID,count 5DmCxg  
                count=count-1 >pN;J)H  
            End If ?VUgwP_=  
            count=count+1 ip<15;Z  
        Wend IU7$%6<Y  
        op.Type = "ShiftZ" 56"#Syj  
        op.val1 = taq-0.01 fm[_@L% x  
        op.parent = parID VjC*(6<Gj  
        AddOperation eID, op 4t,zHR6W  
    C{8i7D  
        Print "Set pupil diameter = " & pupilDiam U.HoFf+HN  
    D!c1;IHZ  
        'Update AZ Eye subassembly Description P\Ai|"=&]  
        eID = FindFullName( "Geometry.Arizona Eye" ) @Q/x&BV  
        GetEntity eID, entity f2`P8$U)R  
        entity.Description = "Accommodation = " & A & "D" w9/nVu  
        SetEntity eID, entity ^).WW  
    83\ o (  
        Update /A %om|+Gq  
        Print "DONE!" 1 ,#{X3  
         w/?nUp  
    End Sub @TdQZZ}G\x  
    BhOXXa{B  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: V h Z=,m  
    14mXx}O  
    Accommodation = 4 Diopters }Q47_]5  
    Pupil Diameter = 4 mm eo>/  
    Set aqueous humor thickness = 2.81 TP{>O%b  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 R)sp  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 MMd0O X)P  
    Set lens thickness = 3.927 YtV |e|aD  
    Set lens index of refraction = 1.42672 }pbBo2  
    Set pupil diameter = 4 T@%;0Ro~  
    DONE! q"{Up  
     
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