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    [技术]Arizona眼睛模型 [复制链接]

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    离线infotek
     
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    只看楼主 倒序阅读 楼主  发表于: 2021-10-22
    简介 X{\>TOk   
    1.!rq,+>1  
    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。 v5i[jM8  
    qlD+[`=b  
    模型 )`yxJ;O@$  
    F.ryeOJ  
    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。 #ebT$hf30  
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    Table 1. AZ眼睛模型的定义
    |1X^@  
    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. 6tB-  
    dQ@ e+u5  
    光源 &e@2zfl7  
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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。 E8J `7sa  
    ) Yz` 6  
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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。 lidzs<W-fW  
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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。 \Xc6K!HJM  
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    图2. 字母F光源的设定方法光 K/79Tb-  
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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 96T.xT>&  
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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。 %/b?T]{  
    [5,aBf) X  
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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。 su/l'p'  
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    图5. 视网膜重点采样规格设定
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    脚本 ]WR+>)ERb  
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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: p#hs8xz  
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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。 DvHcT] l>5  
    余下的脚本计算与屈光度有关的所有参数。 Z0g3> iItM  
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    分析 =($RT  
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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。 PN[ `p1F  
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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 0?  (  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. ]c]rIOTN  
    vBx*bZ  
    Dim entity As T_ENTITY akHcN]sa2  
    Dim op As T_OPERATION eU 'DQp*  
    Dim mat As T_MODELMATERIAL 8M*[RlUJB  
    Dim A As Double EQ'iyXhEe  
    Dim pupilDiam As Double  }tv%  
    Dim eID As Long 1OK,r`   
    Dim parID As Long -hj@^Auf  
    Dim count As Integer MKLntX  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double /2pf*\u  
    Dim tlens As Double, nlens As Double |F[E h ~  
    Dim curv As Double, conic As Double +gqtW8 6  
    Dim ok As Long >;kCcfS3ct  
    YMOy 6C  
    Sub Main -jnx0{/  
    xZW6Hk _  
        '用户输入对话框 5A/8G}'XZ  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 g^@ Kx5O\  
            TextBox 220,21,40,21,.TextBox1 'default: 0 {i y[8eLg  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 pV{MW#e  
            OKButton 40,91,90,21 ,0%P3  
            CancelButton 190,91,90,21 l?v`kAMR  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 :L#t?~  
            TextBox 220,49,40,21,.TextBox2 'default: 4 (G $nN*rlu  
        End Dialog {Ak{ ct\t  
        Dim dlg As UserDialog 6*cG>I.Z  
    n_\V G[f  
        ok = Dialog (dlg) rq?:I:0  
    }VxbO8\b(  
        If ok=0 Then    'cancel button was pressed J/S 47J~  
            Print "Execution cancelled." xO)vn\uJ  
            End 0&T0Ls#4  
        End If vKN"o* q  
    RFd.L@-]  
        'Assign accommodation and pupil diameter & use defaults if field left empty )j(13faW|  
        If dlg.TextBox1 = "" Then yE[ -@3v  
            A = 0           'Default accommodation :Y/i%#*1  
        Else HKr")K%  
            A = CDbl(dlg.TextBox1) 6}wXNTd  
        End If <6^MVaD  
    j_S///  
        If dlg.TextBox2 = "" Then EM]~yn!+  
            pupilDiam = 4   'Default pupil diameter ?#?[6t  
        Else Dz/I"bZLC  
            pupilDiam = CDbl(dlg.TextBox2) Sp$~)f'  
        End If Z*S 9pkWcF  
    | n5F_RL  
        Print " " m<)0 XE6w  
        Print "Accommodation = " & A & " Diopters" l<5O\?Vo]  
        Print "Pupil Diameter = " & pupilDiam & " mm" N|hNh$J[  
    v(D{_  
        ' Calculate new parameters with accommodation Qb}7lm{r  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness OrP-+eg  
    n ^P=a'+  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens BE. v+'c"  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens )R$+dPu>  
    9z7^0Ruw  
        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens C{>@b:]p  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens $G/h-6+8  
    N1$lG? )+  
        tlens = 3.767 + 0.04*A                  'Lens thickness jqxeON  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction }&#R-eQT  
    V\^rs41$;  
        'Adjust parameters to account for accommodation w"d~R   
    `&$"oW{HW  
        '************************************************************************* !GI*R2<W  
        'Aqueous thickness (Position of Lens) 2KVMQH`B9  
        '************************************************************************* x&9}] E^<  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) 2%4dA$H#4w  
        GetCustomElement eID, entity m qgA  
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        parID = FindFullName( "Geometry.Arizona Eye" ) Eyi^N0  
    xLX<. z!r  
        ' Delete any shift(s) in z cPA-EH  
        count = 0 >Ia{ZbQV  
        While GetOperationCount(eID)>count '9^+J7iO(+  
            GetOperation eID, count, op <>/0 ;J1<  
            If op.Type="ShiftZ" Then j<H`<S  
                DeleteOperation eID,count ]oB-qfbH  
                count=count-1 nEu,1  
            End If ?B ; +,  
            count=count+1 /Am,5X.   
        Wend 0<*R 0  
    -q1vB8gjj  
        'Set new shift in 1gk{|keh  
        op.Type = "ShiftZ" O="# yE)  
        op.val1 = taq j`jF{k b  
        op.parent = parID V`xZ4 i%L  
        AddOperation eID, op 5&a4c"fU  
        Print "Set aqueous humor thickness = " & taq-0.55 T0BFit6  
    3YT>3f!\  
        '************************************************************************* 0S8v41i6  
        'Radius and conic constant of anterior lens _mVq9nBEf  
        '************************************************************************* =9$hZ c  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) ; (I(TG  
        GetConic eID, entity, curv, conic $YuVM  
    r0kJx$f  
        SetConic eID, entity, 1/Rant, CCant =" Q5Z6W  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant tDj~+lmdN  
    _kUf[&  
        '************************************************************************* Ny|2Fcs  
        'Radius and conic constant of posterior lens S9kagiFX\  
        '************************************************************************* 0'u2xe  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) 2q V.`d  
        GetConic eID, entity, curv, conic ~lO^ C  
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        SetConic eID, entity, 1/Rpost, CCpost P,5gaT)  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost Zp'c>ty=  
    .ko8`J%%M  
        '************************************************************************* *L_+rJj,  
        'Lens thickness (Position of posterior lens surface) !Ra.DSL  
        '************************************************************************* (iM*Y"Y  
    v+XB$j^H  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) Hq9yu*!u  
    _  dFZR  
        ' Delete any z-shift(s) W*A-CkrO  
        count = 0 bxX[$q  
        While GetOperationCount(eID)>count V,t&jgG*  
            GetOperation eID, count, op / J 3   
            If op.Type="ShiftZ" Then 5Y<O  
                DeleteOperation eID,count Fw ,'a  
                count=count-1 i'Vrx(y3  
            End If }{"a}zOl  
            count=count+1 ]pUf[^4  
        Wend /C)mx#h]  
    xXG-yh  
        'Set new z-shift E?%SOU<  
        op.Type = "ShiftZ" =TImx.D:  
        op.val1 = tlens {m1=#*  
        op.parent = parID &t .9^;(  
        AddOperation eID, op >q+o MrU  
        Print "Set lens thickness = " & tlens 'iy &%?  
    ",wv*z)_>  
        '************************************************************************* paFiuQ  
        'Lens index of refraction &8VB{S>r  
        '************************************************************************* TI '(  
        eID = FindMaterial( "Lens" ) 'N1_:$z@(  
        GetModelMaterial eID, mat R5 O{;/w  
    ut26sg{s(  
        mat.Nd = nlens Z^t"!oY  
        SetModelMaterial eID, mat 6ww4ZH?j  
        Print "Set lens index of refraction = " & nlens .iK{=L/(y  
    j ys1Ki  
        '************************************************************************* aXi5~,Ks_  
        'Pupil diameter + 3+^J?N  
        '************************************************************************* K/oC+Z;K  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) CKJ9YKu{W  
    ~!o\uTVr  
        'Adjust pupil diameter (trimming volume inner hole) E]z Td$v6  
    V}?d ,.m`{  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" CXC,@T  
    `fw:   
        ' Adjust pupil location to just in front of the lens C.SG m  
        parID = FindFullName( "Geometry.Arizona Eye" ) ?.E ixGzI^  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" )  ByP  
        count = 0 K9JW&5Q  
        While GetOperationCount(eID)>count r{DR$jD  
            GetOperation eID, count, op jKFypIZ4  
            If op.Type="ShiftZ" Then C>%2'S^.b  
                DeleteOperation eID,count c%2C\UB  
                count=count-1 qJq49}2  
            End If 8Ar5^.k  
            count=count+1 W<Ms0  
        Wend M%dJqwH5{  
        op.Type = "ShiftZ" 1pe eecE  
        op.val1 = taq-0.01 ` VL`8  
        op.parent = parID 4F_*,_Y  
        AddOperation eID, op j$Ttoo  
    T KpX]H`  
        Print "Set pupil diameter = " & pupilDiam 9uk}r; %9  
    pJM~'tlHV  
        'Update AZ Eye subassembly Description p-]vf$u  
        eID = FindFullName( "Geometry.Arizona Eye" ) ]"'$i4I{R  
        GetEntity eID, entity N[$bP)h7  
        entity.Description = "Accommodation = " & A & "D" u,<#z0R|;$  
        SetEntity eID, entity _D%aT6,G+(  
    S\7-u\)  
        Update , sEu[m  
        Print "DONE!" 5<o8prt B  
         r:h\{ DVf  
    End Sub .~#<>  
    fhx_v^< X  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: #:rywz+  
    w+ZeVZv!r  
    Accommodation = 4 Diopters {J`Zl1_q  
    Pupil Diameter = 4 mm 0IHcyb  
    Set aqueous humor thickness = 2.81 *ea%KE":  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 21Z}Zj  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 I!IWmU6FN  
    Set lens thickness = 3.927 CXqU< a&  
    Set lens index of refraction = 1.42672 R~40,$e{  
    Set pupil diameter = 4 fIOI  
    DONE! u&)+~X  
     
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