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    [分享]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: 2020-12-09
    简介 tSux5 yV  
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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。 :nR80]  
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    模型 nW^h +   
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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。 B=;kC#Emtf  
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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. c~~4eia)  
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    光源 OF={k[  
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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。 P 4t@BwU$  
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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。 %gs?~Xl)]  
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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。 1x=x,lcL  
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    图2. 字母F光源的设定方法光 P9qIq]M  
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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 ^"D^D`$@  
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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。 _k26(rdI@-  
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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。 qEXN} Pq<  
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    图5. 视网膜重点采样规格设定
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    脚本 :H3/+/x  
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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: >W8"Ar  
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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。 ohq Thl  
    余下的脚本计算与屈光度有关的所有参数。 aQ $sn<-l  
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    分析 R'`'q1=R  
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    屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 ]b; m~|9  
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    图7. 字母F在视网膜上颜色分析
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    脚本代码 \Z3K ~  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. *l{epum;  
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    Dim entity As T_ENTITY / @"{u0  
    Dim op As T_OPERATION YLQ0UeDN'  
    Dim mat As T_MODELMATERIAL C{pOGc@  
    Dim A As Double cZ?$_;=  
    Dim pupilDiam As Double  {Ba&  
    Dim eID As Long PIa!N Py  
    Dim parID As Long V=*^C+6s  
    Dim count As Integer M Zz21H  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double =xIZJ8e  
    Dim tlens As Double, nlens As Double Wj^e)2%  
    Dim curv As Double, conic As Double GnW MI1$  
    Dim ok As Long -grf7w^  
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    Sub Main /Yp#`}Ii  
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        '用户输入对话框 =/46;844T  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 =n"kgn  
            TextBox 220,21,40,21,.TextBox1 'default: 0 \ m~?yq8H  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 NT*r7_e  
            OKButton 40,91,90,21 ]<f(@]R/d  
            CancelButton 190,91,90,21 6 Ln~b<I  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 x+Xd7N1  
            TextBox 220,49,40,21,.TextBox2 'default: 4 B F<u3p??  
        End Dialog D?1fY!C:r  
        Dim dlg As UserDialog I_v}}h{  
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        ok = Dialog (dlg) n_km]~  
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        If ok=0 Then    'cancel button was pressed zVw5(Tc  
            Print "Execution cancelled." ;C$+8%P4  
            End u3+B/ 5x  
        End If Pn">fWRCx  
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        'Assign accommodation and pupil diameter & use defaults if field left empty &}k7iaO  
        If dlg.TextBox1 = "" Then 4G(7V:  
            A = 0           'Default accommodation g) u%?T  
        Else )/::i O&$:  
            A = CDbl(dlg.TextBox1) +_i{4Iz~p  
        End If ,<tJ` ,0X  
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        If dlg.TextBox2 = "" Then ^-~JkW'z  
            pupilDiam = 4   'Default pupil diameter UrvUt$WO  
        Else @Uez2?  
            pupilDiam = CDbl(dlg.TextBox2) JyMk @Y  
        End If m g'q-G`\<  
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        Print " " Q p>b  
        Print "Accommodation = " & A & " Diopters" ,\\ba_*z  
        Print "Pupil Diameter = " & pupilDiam & " mm" aP  
    4$&l`yWU+  
        ' Calculate new parameters with accommodation MMFwT(l<1  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness \QK@wgu  
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        Rant = 12.0 - 0.4*A                     'Radius of anterior lens 8~o']B;lJ  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens &*<27-x  
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        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens F$?Ab\#B  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens TBBnsj6e  
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        tlens = 3.767 + 0.04*A                  'Lens thickness 0!|d .jZI  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction XX~vg>3_  
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        'Adjust parameters to account for accommodation /YvXyi>^"%  
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        '************************************************************************* :G1ddb&0+  
        'Aqueous thickness (Position of Lens) (G"'Fb6d  
        '************************************************************************* 9b+jT{Tg  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) =#G 2}8mQD  
        GetCustomElement eID, entity r.H`3m.0q  
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        parID = FindFullName( "Geometry.Arizona Eye" ) j~ qm$'H  
    o]e,5]  
        ' Delete any shift(s) in z wGArR7r  
        count = 0 |RiJ>/ MK\  
        While GetOperationCount(eID)>count QO'Hyf t  
            GetOperation eID, count, op i?6&4  
            If op.Type="ShiftZ" Then uDDa >Ka#+  
                DeleteOperation eID,count i<Vc~ !pT  
                count=count-1 +FT c/r  
            End If 9*)&hhBs,  
            count=count+1 6Xvpk1  
        Wend _ >OP  
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        'Set new shift in \HeJc:^  
        op.Type = "ShiftZ" y *i&p4Y*  
        op.val1 = taq Pp8S\%z~h  
        op.parent = parID +vh|m5"7I7  
        AddOperation eID, op S>yiD`v  
        Print "Set aqueous humor thickness = " & taq-0.55 n$/|r  
    &K9;GZS?  
        '************************************************************************* v"bWVc~H  
        'Radius and conic constant of anterior lens 7*5B  
        '************************************************************************* /Y7^!3uM  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) /s\ m V  
        GetConic eID, entity, curv, conic +K 4XMf  
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        SetConic eID, entity, 1/Rant, CCant hw DxGiU  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant |`T(:ZKXZ2  
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        '************************************************************************* ,MY7h 8V/  
        'Radius and conic constant of posterior lens H%wB8Y ]  
        '************************************************************************* Cy~IB [  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) @?,x3\N-  
        GetConic eID, entity, curv, conic  =z.j{%  
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        SetConic eID, entity, 1/Rpost, CCpost pHeG{<^  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost E'QAsU8pP  
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        '************************************************************************* KYFKH+d>m  
        'Lens thickness (Position of posterior lens surface) .hT>a<  
        '************************************************************************* 0j$\k|xFXZ  
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        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) 1b5Z^a<u  
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        ' Delete any z-shift(s) / ;`H )  
        count = 0 ~MG6evm &  
        While GetOperationCount(eID)>count _{*} )&!M  
            GetOperation eID, count, op h3MdQlJ&  
            If op.Type="ShiftZ" Then TDh)}Ms  
                DeleteOperation eID,count "Lp.*o  
                count=count-1 'n &p5%  
            End If t>bzo6cj  
            count=count+1 "-4|HA  
        Wend V}E['fzBFV  
    VI! \+A  
        'Set new z-shift P3oYk_oW  
        op.Type = "ShiftZ" PQHztS"  
        op.val1 = tlens GkAd"<B  
        op.parent = parID c1H.v^Y5  
        AddOperation eID, op o|xf2k  
        Print "Set lens thickness = " & tlens k[Em~>m  
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        '************************************************************************* K9<8FSn  
        'Lens index of refraction oC&}lp)q  
        '************************************************************************* JYdb^j2c  
        eID = FindMaterial( "Lens" ) _J,**AZ~z  
        GetModelMaterial eID, mat 49qa  
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        mat.Nd = nlens dwA"QVp{  
        SetModelMaterial eID, mat zEQ]5>mG  
        Print "Set lens index of refraction = " & nlens mF6-f#t>H+  
    /X}1%p  
        '************************************************************************* ql?w6qFs]  
        'Pupil diameter RoqkT|#$  
        '************************************************************************* ']}-;m\  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) !?,, ZD  
    N_%@_$3G]  
        'Adjust pupil diameter (trimming volume inner hole) 4H8r[  
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        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" Qf:e;1F!  
    8eT#- 9q@  
        ' Adjust pupil location to just in front of the lens &9e  
        parID = FindFullName( "Geometry.Arizona Eye" ) P]+B}))  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) ~kc#"^s J  
        count = 0 !'$*Z(  
        While GetOperationCount(eID)>count =ejcP&-V/  
            GetOperation eID, count, op H I9/  
            If op.Type="ShiftZ" Then cW3'057  
                DeleteOperation eID,count XpAJP++  
                count=count-1 |!oC7!+0^  
            End If l$u52e!7  
            count=count+1 MWwqon|  
        Wend B>u`%Ry&  
        op.Type = "ShiftZ" -@AhJY.  
        op.val1 = taq-0.01 3W'fEh5  
        op.parent = parID r/h\>s+N  
        AddOperation eID, op >MYxj}I4{z  
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        Print "Set pupil diameter = " & pupilDiam J.iz%8  
    9/"&6,  
        'Update AZ Eye subassembly Description dv. 77q  
        eID = FindFullName( "Geometry.Arizona Eye" ) =eA|gt  
        GetEntity eID, entity `0upm%A  
        entity.Description = "Accommodation = " & A & "D" b^R:q7ea  
        SetEntity eID, entity SFg4}*"C/  
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        Update aT^ $'_ G  
        Print "DONE!" ET[5`z  
         5bb#{?2i  
    End Sub / `cy4<  
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    如果屈光度是4,光瞳直径是4,则会输出如下数据: P$'PB*5d|  
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    Accommodation = 4 Diopters g9C-!X-<T  
    Pupil Diameter = 4 mm T4x%3-4 ;  
    Set aqueous humor thickness = 2.81 t__f=QB/  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 kQI'kL8>  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 w&@tP^`  
    Set lens thickness = 3.927 ,DEq"VW_  
    Set lens index of refraction = 1.42672 0d[O/Q`  
    Set pupil diameter = 4 LR&MhG7  
    DONE! :r{-:   
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