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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 ^lt2,x   
    qxDMDMN  
    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。 :"MHmm=uU8  
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    模型 1G7l+6w5~^  
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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。 w7.,ch  
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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. r5N TTc  
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    光源 YLi6G Y  
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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。 `YC7+`q  
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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。 vQyY %  
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    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。 ^h$*7u"^y  
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    图2. 字母F光源的设定方法光 $BMXjXd}  
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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 lYCvYe  
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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。 +T@BOYhgq  
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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。 Rlk3AWl2u  
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    图5. 视网膜重点采样规格设定
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    脚本 CTW\Dt5  
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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: H" `'d  
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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。 M%`CzCL u  
    余下的脚本计算与屈光度有关的所有参数。 Z8ea)_ {#  
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    分析 wQUl!s7M;  
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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。 %rG4X  
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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 up'`)s'  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. UgGa]b[9A  
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    Dim entity As T_ENTITY O*l,&5  
    Dim op As T_OPERATION ;,[0bmL  
    Dim mat As T_MODELMATERIAL {WrEe7dLy  
    Dim A As Double [w'Q9\,p  
    Dim pupilDiam As Double iVn4eLK^v  
    Dim eID As Long * ) <+u~  
    Dim parID As Long XqmB%g(  
    Dim count As Integer  C7ivA h  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double {IJ;)<>&VE  
    Dim tlens As Double, nlens As Double E+O{^C=  
    Dim curv As Double, conic As Double 'c7nh{F  
    Dim ok As Long 8l5>t  
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    Sub Main z qq  
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        '用户输入对话框 F)hj\aHm k  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 q k^FyZ<  
            TextBox 220,21,40,21,.TextBox1 'default: 0 ^qR|lA@=\  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 4-.K<-T%D  
            OKButton 40,91,90,21 CVa>5 vt  
            CancelButton 190,91,90,21 ~r.R|f]IQ  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 &|Duc} t  
            TextBox 220,49,40,21,.TextBox2 'default: 4 Jx.f DVJ  
        End Dialog !{.CGpS ]  
        Dim dlg As UserDialog Dm)B? H"  
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        ok = Dialog (dlg) ^<OYW|q?\r  
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        If ok=0 Then    'cancel button was pressed x8rg/y  
            Print "Execution cancelled." ;bB#P g  
            End 9O3#d  
        End If Wn=sF,c  
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        'Assign accommodation and pupil diameter & use defaults if field left empty #-;W|ib%z  
        If dlg.TextBox1 = "" Then FYYc+6n  
            A = 0           'Default accommodation 1 jidBzu<  
        Else "sN%S's  
            A = CDbl(dlg.TextBox1) H:c5 q0O^x  
        End If N@c G jpQ  
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        If dlg.TextBox2 = "" Then ;98&5X\u<  
            pupilDiam = 4   'Default pupil diameter TF/NA\0c$  
        Else O%T?+1E  
            pupilDiam = CDbl(dlg.TextBox2) (I}owr5:  
        End If $z%(He  
    !vgY3S0?rq  
        Print " " T/'z,,Y  
        Print "Accommodation = " & A & " Diopters" vdq=F|&  
        Print "Pupil Diameter = " & pupilDiam & " mm"  8${n}}  
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        ' Calculate new parameters with accommodation YbP @  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness ,' | J  
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        Rant = 12.0 - 0.4*A                     'Radius of anterior lens s?EQ  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens :VT%d{Vp_  
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        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens n= <c_a)Nb  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens ?wB_fDb}  
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        tlens = 3.767 + 0.04*A                  'Lens thickness .|O T#"LP  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction I8gNg Z  
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        'Adjust parameters to account for accommodation ?y-^Fq|h  
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        '************************************************************************* _c>ww<*3  
        'Aqueous thickness (Position of Lens) F\D iT|?}  
        '************************************************************************* :01d9|#  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) {nKw<F2  
        GetCustomElement eID, entity zIrOMh  
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        parID = FindFullName( "Geometry.Arizona Eye" ) OeqKKVuQ  
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        ' Delete any shift(s) in z T>B'T3or  
        count = 0 =VD],R)  
        While GetOperationCount(eID)>count lJdBUoO  
            GetOperation eID, count, op bh.&vp.kP  
            If op.Type="ShiftZ" Then b  Ssg`  
                DeleteOperation eID,count 6MVu"0#  
                count=count-1 9)oi_U.  
            End If zQyI4RHG[  
            count=count+1 oy8jc];SO  
        Wend v?VDASR2`  
    ^K<3_D>1>  
        'Set new shift in r'*$'QY-N  
        op.Type = "ShiftZ" /i,n75/y?  
        op.val1 = taq SI!A?34  
        op.parent = parID gQPw+0w  
        AddOperation eID, op `D77CC]vU  
        Print "Set aqueous humor thickness = " & taq-0.55 sE[`x^1'8  
    +Hu\b&g  
        '************************************************************************* h+W$\T)  
        'Radius and conic constant of anterior lens 2f[;U"  
        '************************************************************************* I}_}VSG(  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) A08kwYxiW  
        GetConic eID, entity, curv, conic Y%?S:&GH  
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        SetConic eID, entity, 1/Rant, CCant lOt7 ij(,L  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant w0~%,S  
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        '************************************************************************* INA3^p'w  
        'Radius and conic constant of posterior lens v[Q)L!J1  
        '*************************************************************************  T01Iu  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) -P}A26qB  
        GetConic eID, entity, curv, conic 1Vu#:6%  
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        SetConic eID, entity, 1/Rpost, CCpost /JS_gr@DK  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost C-y MWr  
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        '************************************************************************* Xfk DMh  
        'Lens thickness (Position of posterior lens surface) ;eYG\uKC{  
        '************************************************************************* R;!,(l  
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        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) F@?-^ E@  
    qnp}#BZ  
        ' Delete any z-shift(s) I!L J&>  
        count = 0  |,$&jSe  
        While GetOperationCount(eID)>count R,BJr y  
            GetOperation eID, count, op (,h2qP-;ud  
            If op.Type="ShiftZ" Then r-y;"h'  
                DeleteOperation eID,count T]%-Ri  
                count=count-1 ]Kt@F0U<o  
            End If MKfK9>a  
            count=count+1 %&6Q Uv^  
        Wend GTR*3,rw  
    (p5q MP]L  
        'Set new z-shift !'N@ZZ  
        op.Type = "ShiftZ" "K(cDVQ  
        op.val1 = tlens _RaE: )  
        op.parent = parID Lng. X8D  
        AddOperation eID, op _{jC?rzb  
        Print "Set lens thickness = " & tlens }.A]=Ew  
    ~LS</_N  
        '************************************************************************* C][$0  
        'Lens index of refraction !i t orSl  
        '************************************************************************* K) }1;  
        eID = FindMaterial( "Lens" ) F-s{#V1=  
        GetModelMaterial eID, mat dy_Uh)$$|g  
    'JOCL0FP  
        mat.Nd = nlens Z{B  e  
        SetModelMaterial eID, mat ?"Ez  
        Print "Set lens index of refraction = " & nlens E4% -*n  
    RHFRN&RU$  
        '************************************************************************* gk|>E[.  
        'Pupil diameter M[`[+5v  
        '************************************************************************* 4G,FJjE`p  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) %j\&}>P4$  
    s6~;)(r  
        'Adjust pupil diameter (trimming volume inner hole) f- XUto  
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        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" Odo)h  
    /Z6lnm7wJ  
        ' Adjust pupil location to just in front of the lens N)"8CvQL  
        parID = FindFullName( "Geometry.Arizona Eye" ) ;y,g%uqE  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) bJIYe ld  
        count = 0 44 u)F@)  
        While GetOperationCount(eID)>count +KbkdY Z  
            GetOperation eID, count, op (?Mn_FNE|  
            If op.Type="ShiftZ" Then %4LoEm=U  
                DeleteOperation eID,count Ss%Cf6qdWL  
                count=count-1 V| V 9.  
            End If lMFo)4&P  
            count=count+1 x eFx!$3  
        Wend f5*qlQJFz\  
        op.Type = "ShiftZ" l6bY!I>  
        op.val1 = taq-0.01 A M[f  
        op.parent = parID sMMOZ'bT  
        AddOperation eID, op kf'(u..G  
    v ;\cM/&5  
        Print "Set pupil diameter = " & pupilDiam "<=4]Z  
    "Ol:ni1  
        'Update AZ Eye subassembly Description SEM?vQ 0"}  
        eID = FindFullName( "Geometry.Arizona Eye" ) JP Zp*5c6A  
        GetEntity eID, entity X:UlL"G  
        entity.Description = "Accommodation = " & A & "D" Tv"T+!Z  
        SetEntity eID, entity i(|u g_^  
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        Update 5@xR`g-  
        Print "DONE!" ]jD\4\M}  
         GM2}]9  
    End Sub b\0>uU  
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    如果屈光度是4,光瞳直径是4,则会输出如下数据: D \i]gfu8W  
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    Accommodation = 4 Diopters le \f:  
    Pupil Diameter = 4 mm Kzn1ct{65!  
    Set aqueous humor thickness = 2.81 "Vq= Ph  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 =Q<VU/  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 LVg#E*J  
    Set lens thickness = 3.927 k( Sda>-  
    Set lens index of refraction = 1.42672 %"v:x?d$$o  
    Set pupil diameter = 4 lC#wh2B6  
    DONE! EK4%4<"  
    J+t51B(a  
    4"@;.C""  
    QQ:2987619807 ZRf9'UwS  
     
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