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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 ;~sr$6  
    N)43};e  
    人眼光学模型可用来设计眼科用设备,光学系统注定了要与人眼一起使用。本文演示了这样一个模型:Arizona眼睛模型,在Jim Schwiegerling教授的书中有详细描述:《Field Guide to Visual and Ophthalmic Optics》。AZ眼睛模型达到了基于平均临床数据所决定的轴上和轴外像差等级。FRED文件包含了此眼睛模型及几个用来分析它的光源,并包括一个基于想要的屈光度来调整模型的内嵌脚本。 w&lZ42(mF  
    e4qj .b  
    模型 \-. Tg!Q6  
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    模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 (clU$m+oXX  
    Y~"9L|`f/  
    Table 1. AZ眼睛模型的定义
    ~r`Wr`]_z  
    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. BGjb`U#%3  
    cINHH !v  
    光源 '.p? 6k!K  
    \OHv|8!EI@  
    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。 jFj~]]j  
    f:%SW  
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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。 FWTx&Ip  
    M@^U 0 ?  
    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。 '>^Xqn  
    d~[UXQC  
    图2. 字母F光源的设定方法光 _9h.Gt  
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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 1-$P0  
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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。  a8h]n:!  
    Jqg3.2q  
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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。 s-Y+x  
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    图5. 视网膜重点采样规格设定
    $'$>UFR  
    脚本 9U10d&M(  
    %}F"*.  
    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: HIPL!ss]  
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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。 3LrsWAz'  
    余下的脚本计算与屈光度有关的所有参数。 h>tsis'N9  
    q)Je.6$#X  
    分析 ^I./L)0= }  
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    屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 eG^z*`**  
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    图7. 字母F在视网膜上颜色分析
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    脚本代码 +UaO<L  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. ?zE<  
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    Dim entity As T_ENTITY 4JK@<GBK6  
    Dim op As T_OPERATION !47A$sQ  
    Dim mat As T_MODELMATERIAL u-M] A z-  
    Dim A As Double v|To+ P6b  
    Dim pupilDiam As Double U$EM.ot  
    Dim eID As Long D JJZJ}7  
    Dim parID As Long XbXgU#%  
    Dim count As Integer %o-jwr}O{  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double T]X{ @_  
    Dim tlens As Double, nlens As Double eU"mG3 __  
    Dim curv As Double, conic As Double &"O_wd[+:  
    Dim ok As Long Ei|0L$NCg  
    g$gVm:=  
    Sub Main d'q;+ jnP  
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        '用户输入对话框 i/M+t~   
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 t*rp3BIG  
            TextBox 220,21,40,21,.TextBox1 'default: 0 ^s.oZj q  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 A<;0L . J  
            OKButton 40,91,90,21 9$EH K  
            CancelButton 190,91,90,21 ]t7ClT)n!  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 !~tnt i6  
            TextBox 220,49,40,21,.TextBox2 'default: 4 ] :GfOgo  
        End Dialog `lvh\[3^  
        Dim dlg As UserDialog \c FAxL(  
    &F86SrsI  
        ok = Dialog (dlg) 4=UI3 2v3  
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        If ok=0 Then    'cancel button was pressed zAu}hVcW  
            Print "Execution cancelled." F1/6&u9I  
            End (J/>Gy)d  
        End If 8QPT\~  
    @<VG8{  
        'Assign accommodation and pupil diameter & use defaults if field left empty 69?I?,7  
        If dlg.TextBox1 = "" Then V~JBZ}`TG<  
            A = 0           'Default accommodation _82<| NN:  
        Else %d ZM9I0  
            A = CDbl(dlg.TextBox1) Mn-<51.%  
        End If mMga"I9  
    q^u6f?B  
        If dlg.TextBox2 = "" Then a_xQ~:H  
            pupilDiam = 4   'Default pupil diameter b,z R5R^D;  
        Else ,7QBJ_-;QJ  
            pupilDiam = CDbl(dlg.TextBox2) fHW-Je7mG  
        End If S_`W@cp[  
    KPD@b=F  
        Print " " osI- o~#>  
        Print "Accommodation = " & A & " Diopters" (tgEa{rPAP  
        Print "Pupil Diameter = " & pupilDiam & " mm" xAFek;GY?  
    4p*?7g_WVH  
        ' Calculate new parameters with accommodation (}VuiNY<3  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness 1w(<0Be  
    cF-Jc}h  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens qT 5Wa O)  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens X9p+a,  
    $0ym_6n  
        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens L;L2j&i%v)  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens 4+BrTGp  
    k0gJ('zah  
        tlens = 3.767 + 0.04*A                  'Lens thickness oM/B.U2a  
    Rv0-vH.n  
        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction oBhL}r  
    ]Fb8.q5(Y  
        'Adjust parameters to account for accommodation r[Zg 2  
    k*A4;Bm  
        '************************************************************************* [^cs~ n4  
        'Aqueous thickness (Position of Lens) -Pv P  
        '************************************************************************* aY3pvOV  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) 4Sd+"3M  
        GetCustomElement eID, entity  /<(R  
    :-W$PIBe  
        parID = FindFullName( "Geometry.Arizona Eye" ) >\N$>"~a  
    [N'r3  
        ' Delete any shift(s) in z H&"_}  
        count = 0 H@VBP Q}Q  
        While GetOperationCount(eID)>count $Ui]hA-:?y  
            GetOperation eID, count, op ]W89.><%14  
            If op.Type="ShiftZ" Then \"<GL;  
                DeleteOperation eID,count 7Y|Wy Oq  
                count=count-1 KFCQYdI`d  
            End If \JF57t}Zk  
            count=count+1 G7Edi;y/{  
        Wend %Z-TbOX  
    p{('KE)  
        'Set new shift in 3<V.6'*k  
        op.Type = "ShiftZ" w*]_FqE  
        op.val1 = taq TXY  
        op.parent = parID /v<e$0~s<  
        AddOperation eID, op $Qx(aWE0  
        Print "Set aqueous humor thickness = " & taq-0.55 %3#b6m~  
    =|DkD- O  
        '************************************************************************* LIm$Wl1U  
        'Radius and conic constant of anterior lens :Kt{t46)  
        '************************************************************************* #t5JUi%in*  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) arpJiG~JR  
        GetConic eID, entity, curv, conic d#M?lS>  
    7z0;FW3>9  
        SetConic eID, entity, 1/Rant, CCant r zc 3k~@  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant 2/a04qA#  
    URj% J/jD  
        '************************************************************************* #UP,;W  
        'Radius and conic constant of posterior lens ?Mgt5by  
        '************************************************************************* F ~11 _  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) i&AXPq>`  
        GetConic eID, entity, curv, conic A `H]q5d  
    1{Sx V  
        SetConic eID, entity, 1/Rpost, CCpost @Reh?]# v  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost SO8|]Fk  
    d- _93  
        '************************************************************************* 3oNt]2w/'  
        'Lens thickness (Position of posterior lens surface) ]c~rPi  
        '************************************************************************* 'h+4zvI"8  
    `s|\" @2  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) !E(J ]a  
    42H#n]Y  
        ' Delete any z-shift(s) iIC9rso"Q1  
        count = 0 a'L7y%  
        While GetOperationCount(eID)>count o 2$<>1^  
            GetOperation eID, count, op h;mQ%9 Yd  
            If op.Type="ShiftZ" Then UVvt&=+4  
                DeleteOperation eID,count +q>C}9s3  
                count=count-1 3mnLV*aRt  
            End If 5,I*F9[3  
            count=count+1 Av[|.~g  
        Wend Qr xO erp  
    Luu-c<*M  
        'Set new z-shift 'TEwU0<%  
        op.Type = "ShiftZ" >O[^\H!\  
        op.val1 = tlens {U2| ):  
        op.parent = parID %%H. &*i,  
        AddOperation eID, op g^|_X1{  
        Print "Set lens thickness = " & tlens :O_<K&  
    5juCeG+Z  
        '************************************************************************* FCw VVF0 y  
        'Lens index of refraction A&@jA5Jb  
        '************************************************************************* {Rh+]=7  
        eID = FindMaterial( "Lens" ) K <fq=:I3  
        GetModelMaterial eID, mat v \L Ip  
    6CzvRvA*P  
        mat.Nd = nlens  Q-3J0=  
        SetModelMaterial eID, mat hJL0M!  
        Print "Set lens index of refraction = " & nlens p>hCh5  
    rea}Uq+po  
        '************************************************************************* OW5|oG  
        'Pupil diameter ob()+p.kK  
        '************************************************************************* %#;(]7Zq  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) _jI)!rfb  
    we@En .>f  
        'Adjust pupil diameter (trimming volume inner hole) \6PIw-)  
    2%, ' }Bus  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" 0.,&B5)  
    ^a0 -5  
        ' Adjust pupil location to just in front of the lens r  E *u  
        parID = FindFullName( "Geometry.Arizona Eye" ) ]k%KTvX*G  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) /$N#_Xblr  
        count = 0 Kps GQM  
        While GetOperationCount(eID)>count ?VHwYD.B  
            GetOperation eID, count, op 1x5CsmS  
            If op.Type="ShiftZ" Then )6S}O* 1  
                DeleteOperation eID,count h4xf%vA(;  
                count=count-1 7QRvl6cv  
            End If GA@Q:n8UuR  
            count=count+1 7m)ykq:?  
        Wend '%/u103{e  
        op.Type = "ShiftZ" D +%k1  
        op.val1 = taq-0.01 29E@e]Y,`  
        op.parent = parID Ih0> ]h-7  
        AddOperation eID, op sA7K ;J})  
    "I 1M$^8n  
        Print "Set pupil diameter = " & pupilDiam ${H&Q*  
    Woy[V  
        'Update AZ Eye subassembly Description 1$!K2=%OXj  
        eID = FindFullName( "Geometry.Arizona Eye" ) %b'VEd7  
        GetEntity eID, entity v-]-wNqT  
        entity.Description = "Accommodation = " & A & "D" Wn</",Gf  
        SetEntity eID, entity m&vYZ3vK[  
    h]z|OhG  
        Update ktJLp Z<0O  
        Print "DONE!" ]3cf}Au  
         z Clm'X/  
    End Sub E;e2{@SX2K  
    FbT&w4Um=  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: nylIP */  
    &:{yf=  
    Accommodation = 4 Diopters ,,-3p#P bw  
    Pupil Diameter = 4 mm w)c#ZJHG  
    Set aqueous humor thickness = 2.81 l.'E\3Bo  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 N=Yi :+  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 NjMLq|X  
    Set lens thickness = 3.927 bWzc=03  
    Set lens index of refraction = 1.42672 ?B4QTx9B  
    Set pupil diameter = 4 CU M~*  
    DONE! d-2I_ )9  
    G+yz8@  
    43]&SXprH  
    QQ:2987619807 FnU;n  
     
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