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    [分享]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: 2020-12-09
    简介 @An "ClDa  
    q| EE em  
    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。 ruf*-&Kr7  
    )ld !(d=  
    模型 $%%K9Y  
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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。 ~AX@o-WU  
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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. k`u:Cz#aB  
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    光源 n>5/y c"/q  
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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。 en1NFP  
    MU-T>S4  
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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。 ;`(l)X+7  
    :RqTbE4B  
    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。 InCJ4D  
    ^rP` . Z  
    图2. 字母F光源的设定方法光 b5Sgf'B^  
    Af V a[{E  
    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 $ M8ZF(W  
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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。 P%nN#Qm  
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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。 }5I+VY7a  
    iFi6,V*PRt  
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    图5. 视网膜重点采样规格设定
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    脚本 o;#9$j7QP!  
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    内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: Oosr`e@S  
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    图6. 用户对话框的创建与编辑
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    图7. 用户对话框编辑器
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    如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 bV~z}V&  
    余下的脚本计算与屈光度有关的所有参数。 `RriVYc<  
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    分析 gFx2\QV  
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    屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。  r*gQGvc  
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    图7. 字母F在视网膜上颜色分析
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    脚本代码 tzKIi_2  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. , '_y@9?I  
    Ns*&;x9  
    Dim entity As T_ENTITY /&`sB|  
    Dim op As T_OPERATION lebwGW,!  
    Dim mat As T_MODELMATERIAL x)h|!T=B~  
    Dim A As Double .0[ zZ  
    Dim pupilDiam As Double eMDO;q  
    Dim eID As Long 63EwV p/|  
    Dim parID As Long n*Q~<`T  
    Dim count As Integer Qel2OI`b  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double LZ ?z5U:  
    Dim tlens As Double, nlens As Double .h0@Vs  
    Dim curv As Double, conic As Double :7&-<ae2  
    Dim ok As Long Wvg+5Q  
    vfn _Nq;  
    Sub Main \N[Z58R !z  
    a fOix"  
        '用户输入对话框 M$O*@])  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 _(R1En1  
            TextBox 220,21,40,21,.TextBox1 'default: 0 pel{ ;r  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 \bc ob8u  
            OKButton 40,91,90,21 ]rpU3 3  
            CancelButton 190,91,90,21 )U?O4| \P  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 ry2ZVIFa  
            TextBox 220,49,40,21,.TextBox2 'default: 4 6hW ~Q  
        End Dialog Xqz\%&G  
        Dim dlg As UserDialog fH#*r|~  
    ,?OWwm&J  
        ok = Dialog (dlg) H2plT  
    9Ez>srH(  
        If ok=0 Then    'cancel button was pressed &N`s@Ka  
            Print "Execution cancelled." </.9QV  
            End 3t*e|Ih&j5  
        End If ;AjY-w  
    )yOdRRP  
        'Assign accommodation and pupil diameter & use defaults if field left empty (pU@$H  
        If dlg.TextBox1 = "" Then x+=Ko  
            A = 0           'Default accommodation t,f)!D$  
        Else `[&) X  
            A = CDbl(dlg.TextBox1) ]WO0v`xh  
        End If }u>F}mUa  
    -_p+4tV  
        If dlg.TextBox2 = "" Then npj_i /&g  
            pupilDiam = 4   'Default pupil diameter doERBg`Jh  
        Else gq'}LcV  
            pupilDiam = CDbl(dlg.TextBox2) *i=+["A  
        End If U)PNY  
    p H5iv>H  
        Print " " c6;326aD q  
        Print "Accommodation = " & A & " Diopters" %/K'VE6pb  
        Print "Pupil Diameter = " & pupilDiam & " mm" &{x%"Aq/  
    m,u5S=3A{!  
        ' Calculate new parameters with accommodation 5Dhpcgq<<  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness /F(wb_!  
    #TXN\YNP  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens (F<VcB  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens kPt] [1jo  
    sp2"c"_+  
        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens :nt 7jm,  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens _>6xU t  
    \L-K}U>J  
        tlens = 3.767 + 0.04*A                  'Lens thickness @AvDV$F  
    tm"9`   
        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction BotGPk><c  
    cIm_~HH  
        'Adjust parameters to account for accommodation TSl:a &  
    -$@$  
        '************************************************************************* 4)cQU.(*k  
        'Aqueous thickness (Position of Lens) &EELq"5K  
        '************************************************************************* t7t?xk!2  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) WRq:xDRn0  
        GetCustomElement eID, entity uA'S8b%C  
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        parID = FindFullName( "Geometry.Arizona Eye" ) :75$e%'A  
    ir72fSe  
        ' Delete any shift(s) in z pBd_Ba N  
        count = 0 'V*ixK8R0  
        While GetOperationCount(eID)>count C9,|G7~*q  
            GetOperation eID, count, op c Nhy.Z~D  
            If op.Type="ShiftZ" Then M_:_(y>l  
                DeleteOperation eID,count 4P>[]~S  
                count=count-1 z ?3G`  
            End If MR) *Xh  
            count=count+1 FnoE\2}9  
        Wend sQ)D.9\~  
    i42M.M6D$  
        'Set new shift in n]15 ~GO.  
        op.Type = "ShiftZ" _RTJEG  
        op.val1 = taq oCCTRLb02  
        op.parent = parID g!#M0  
        AddOperation eID, op CQ4MQ<BJ.  
        Print "Set aqueous humor thickness = " & taq-0.55 (}1:]D{)@V  
    ]uikE2nn  
        '************************************************************************* }!&Vcf  
        'Radius and conic constant of anterior lens )&nfV5@"  
        '************************************************************************* k\ 2.\Lwb  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) q& :UP  
        GetConic eID, entity, curv, conic z'W8t|m}Pb  
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        SetConic eID, entity, 1/Rant, CCant \V1geSoE  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant tK|jh  
    @hb K  
        '************************************************************************* 8zOoVO  
        'Radius and conic constant of posterior lens ! H^,p$`[i  
        '************************************************************************* rt _k }  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) Q^B !^_M  
        GetConic eID, entity, curv, conic d,hKy2  
    ;$VQRXq  
        SetConic eID, entity, 1/Rpost, CCpost L/YEW7M  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost k3 YDnMRA9  
    +K@wh  
        '************************************************************************* /"f4aF[  
        'Lens thickness (Position of posterior lens surface) <{z*6FM!'  
        '************************************************************************* vFz#A/1  
    &e-MOM2&  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) dr54 D  
    y{ ?wxg9  
        ' Delete any z-shift(s) 6]Vf`i  
        count = 0 =vpXYj  
        While GetOperationCount(eID)>count N084k}io  
            GetOperation eID, count, op daX$=n  
            If op.Type="ShiftZ" Then (]Pr[xB  
                DeleteOperation eID,count [?=Vqd  
                count=count-1 zL%ruWNG  
            End If HW@r1[Y  
            count=count+1 ik;S!S\v  
        Wend u>K(m))5W3  
    #},4m  
        'Set new z-shift |e]2 >NjQa  
        op.Type = "ShiftZ" "u H VX|`  
        op.val1 = tlens &nRbI:R  
        op.parent = parID zFFip/z\  
        AddOperation eID, op 4GL-3e  
        Print "Set lens thickness = " & tlens ri]"a?Rm  
    ~vL`[JiK  
        '************************************************************************* CY4ntd4M  
        'Lens index of refraction fx"~WeVcO  
        '************************************************************************* GY3g`M   
        eID = FindMaterial( "Lens" ) A_ftf 7,  
        GetModelMaterial eID, mat ){sn!5=  
    |)4aIa  
        mat.Nd = nlens Gy3t   
        SetModelMaterial eID, mat #guq/g$  
        Print "Set lens index of refraction = " & nlens N!TC}#}l  
    Mq#sSBE<K  
        '************************************************************************* b.4H4LV  
        'Pupil diameter Q|CLis-  
        '************************************************************************* $3BH82  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" )  g%.;ZlK  
    0C,2gcq  
        'Adjust pupil diameter (trimming volume inner hole) `yvH0B -  
    Mqk[+n  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" NCKhrDd&  
    n{@^ne4 m  
        ' Adjust pupil location to just in front of the lens n6 VX0R  
        parID = FindFullName( "Geometry.Arizona Eye" ) p_Yx"nO7  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) M In6p  
        count = 0 ^(:Z*+X~>  
        While GetOperationCount(eID)>count ($vaj;  
            GetOperation eID, count, op 6z-&Zu7@  
            If op.Type="ShiftZ" Then T 8. to  
                DeleteOperation eID,count .Jvy0B} B  
                count=count-1 5TB==Fj ?  
            End If -!s?d5k")  
            count=count+1 pAY[XN  
        Wend UD+r{s/%  
        op.Type = "ShiftZ" $.g)%#h:  
        op.val1 = taq-0.01 sT;:V  
        op.parent = parID T l%n|pc  
        AddOperation eID, op h=7eOK]  
    H*H=a  
        Print "Set pupil diameter = " & pupilDiam ;Q}pmBkqB  
    KsG>,# Q  
        'Update AZ Eye subassembly Description E979qKl  
        eID = FindFullName( "Geometry.Arizona Eye" ) {<k}U;uiO  
        GetEntity eID, entity %ylpn7I\6  
        entity.Description = "Accommodation = " & A & "D" G#f(oGn :  
        SetEntity eID, entity M6MtE_E  
    )yyS59s  
        Update o<f#Zi  
        Print "DONE!" h{BO\^6x  
         F,NS:mE  
    End Sub #R#o/@|  
    .o"FT~}z  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: 1^HUu"Kt  
    Qk_Mx"  
    Accommodation = 4 Diopters Kd%>:E*  
    Pupil Diameter = 4 mm &58TX[#  
    Set aqueous humor thickness = 2.81 giNyD4uO  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 &l| :1  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 J nzI- y  
    Set lens thickness = 3.927 ja Ot"iU.B  
    Set lens index of refraction = 1.42672 :{tj5P!S  
    Set pupil diameter = 4 L(ni6-  
    DONE! 3L5o8?[  
    B;6N.X(K  
    (+=TKI<=  
    QQ:2987619807 f[;l7  
     
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