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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 $+Vp>  
    G' a{;3  
    人眼光学模型可用来设计眼科用设备,光学系统注定了要与人眼一起使用。本文演示了这样一个模型:Arizona眼睛模型,在Jim Schwiegerling教授的书中有详细描述:《Field Guide to Visual and Ophthalmic Optics》。AZ眼睛模型达到了基于平均临床数据所决定的轴上和轴外像差等级。FRED文件包含了此眼睛模型及几个用来分析它的光源,并包括一个基于想要的屈光度来调整模型的内嵌脚本。 *lws7R  
    M}b[;/~  
    模型 d"hW45L  
    m}>#s3KPA  
    模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 r4FGz!U  
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    Table 1. AZ眼睛模型的定义
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    在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. N\WEp?%~  
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    光源 w%Tjn^d  
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    多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 DAtZp%  
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    图1. 光源和提示信息使用
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    除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 Dwp-*QK^G  
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    在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 ~xaPq=AH  
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    图2. 字母F光源的设定方法光 G^=C#9c.m  
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    图3. 字母F在视网膜上位置点列图
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    视网膜的散射 R#i{eE*WF  
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    在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 h TY7`m">  
    {E+o+2L  
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    图4. 视网膜朗伯散射设定
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    注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 Y$ To)qo  
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    图5. 视网膜重点采样规格设定
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    脚本 n_X)6 s  
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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: Q(J6;s#b  
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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。 bF X0UE>  
    余下的脚本计算与屈光度有关的所有参数。 bzt(;>_8  
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    分析 W~e/3#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。 c8cPGm#i  
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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 2!+saf^-,  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. aV9QIH~  
    ?onTW2cG;  
    Dim entity As T_ENTITY Vo2{aK;  
    Dim op As T_OPERATION 1:+f@#  
    Dim mat As T_MODELMATERIAL %kRQ9I".  
    Dim A As Double KPcOW#.T  
    Dim pupilDiam As Double AQH\ ;L  
    Dim eID As Long 7"c^$fj  
    Dim parID As Long a*4l!-7  
    Dim count As Integer ~j&#DG&L  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double [h GS*  
    Dim tlens As Double, nlens As Double ^+m6lsuA  
    Dim curv As Double, conic As Double 7;T6hKWV[  
    Dim ok As Long L(bYG0ZI5C  
    G(~ s(r{%I  
    Sub Main T3W?-,  
    /Dl{I7W   
        '用户输入对话框 ~RRp5x _  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 ?'dsiA[  
            TextBox 220,21,40,21,.TextBox1 'default: 0 9 J0JSy  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 Y%B:IeF}  
            OKButton 40,91,90,21 ?pF7g$>q  
            CancelButton 190,91,90,21 y)B>g/Hoh  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 ?Thh7#7LM  
            TextBox 220,49,40,21,.TextBox2 'default: 4 mjwh40x.o  
        End Dialog 6/Pw'4H9$  
        Dim dlg As UserDialog iksd^\]f  
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        ok = Dialog (dlg) G{ 9p.Q  
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        If ok=0 Then    'cancel button was pressed sKvz<7pag  
            Print "Execution cancelled." k_^| %xJ  
            End srbU}u3VZ  
        End If ;c!}'2>vM  
    g=T !fF=  
        'Assign accommodation and pupil diameter & use defaults if field left empty tS2Orzc>,  
        If dlg.TextBox1 = "" Then U{+<c [  
            A = 0           'Default accommodation w[bhm$SX]B  
        Else rX-V0  
            A = CDbl(dlg.TextBox1) gg-4ce/  
        End If ,'KQFC   
    t=IpV l!  
        If dlg.TextBox2 = "" Then V@QWJZ"  
            pupilDiam = 4   'Default pupil diameter am$-1+iX  
        Else HFr#Ql>g  
            pupilDiam = CDbl(dlg.TextBox2) U=<d;2N#  
        End If YhVV~bvz*  
    iL%Q@!ka  
        Print " " ?G48GxJ  
        Print "Accommodation = " & A & " Diopters" Xlw8> .\  
        Print "Pupil Diameter = " & pupilDiam & " mm" ? ^E B"{  
    &K1\"  
        ' Calculate new parameters with accommodation .fQ/a`AsU  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness &g{b5x{iD  
    -t<8)9q(  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens E7_)P>aS5  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens Dd(#   
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        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens ww_gG5Fc$  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens ]7*Z'E  
    \5]${vs&s  
        tlens = 3.767 + 0.04*A                  'Lens thickness NaR/IsN8%  
    dFu<h   
        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction qB`-[A9HPe  
    C;u8qVI  
        'Adjust parameters to account for accommodation L=7 U#Q/DE  
    F)W7,^=X>-  
        '************************************************************************* J73B$0FP  
        'Aqueous thickness (Position of Lens) .3{PgrZ  
        '************************************************************************* v-V#?+#  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) 63J_u-o  
        GetCustomElement eID, entity 5eZ8$-&([  
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        parID = FindFullName( "Geometry.Arizona Eye" ) Z# +{ksU  
    S690Y]:h$v  
        ' Delete any shift(s) in z @+gr>a1K#  
        count = 0 RjII(4Et  
        While GetOperationCount(eID)>count n^svRM]eQ  
            GetOperation eID, count, op syEWc(5  
            If op.Type="ShiftZ" Then sd@JQ%O  
                DeleteOperation eID,count k63]Qf=5?N  
                count=count-1 Q: H`TSR]  
            End If y?ps+ce93  
            count=count+1 F~NmLm  
        Wend }`O_  
    \m>mE/N  
        'Set new shift in r[>=iim  
        op.Type = "ShiftZ" e~Oge  
        op.val1 = taq Y7|R vLWoP  
        op.parent = parID kl0!*j  
        AddOperation eID, op ,?OV39h  
        Print "Set aqueous humor thickness = " & taq-0.55 CaSoR |  
    :'L^zGf  
        '************************************************************************* -QUr|:SK:  
        'Radius and conic constant of anterior lens (&2 5 8i,  
        '************************************************************************* 6D[m}/?Uy  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) _K4Igq  
        GetConic eID, entity, curv, conic #~&SkIhBE  
    -,M*j|   
        SetConic eID, entity, 1/Rant, CCant tWs ]Zd  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant /M:R|91:_  
    H nKO  
        '************************************************************************* E3pnu.;U:_  
        'Radius and conic constant of posterior lens 2:31J4t-<  
        '************************************************************************* NTnjVU }  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) >)/,5VSE  
        GetConic eID, entity, curv, conic C^}2::Qu  
    "T*Sg  
        SetConic eID, entity, 1/Rpost, CCpost C q/936`O  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost YLr<^G-v  
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        '************************************************************************* &"D *  
        'Lens thickness (Position of posterior lens surface) ]h(}%fk_  
        '************************************************************************* w]4=uL6  
    (*.t~6c?5  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) ?2Q9z-$  
    e<Hbm  
        ' Delete any z-shift(s) C~16Jj:v  
        count = 0 6Un61s  
        While GetOperationCount(eID)>count \#(3r1(  
            GetOperation eID, count, op `Qf$]Eoft  
            If op.Type="ShiftZ" Then uXs.7+f  
                DeleteOperation eID,count }y<p_dZI  
                count=count-1 dQ4VpR9|;  
            End If F %OA  
            count=count+1 J&64tQl*  
        Wend ~16QdwK  
    #6XN_<  
        'Set new z-shift N5 BC<pu  
        op.Type = "ShiftZ" ohK_~  
        op.val1 = tlens 2v ^bd^]u:  
        op.parent = parID zJp}JO  
        AddOperation eID, op W`baD!*  
        Print "Set lens thickness = " & tlens jv:!vi:  
    '@Zau\xC  
        '************************************************************************* k4|9'V&1*6  
        'Lens index of refraction Yx- 2ux  
        '************************************************************************* Cu5fp.OS7  
        eID = FindMaterial( "Lens" ) a[<'%S#3x  
        GetModelMaterial eID, mat k7rFbrL Z  
    %M=[h2SN  
        mat.Nd = nlens zEG6T*  
        SetModelMaterial eID, mat s>=DfE-;"  
        Print "Set lens index of refraction = " & nlens (1~d/u?2\  
    w2-:!,X  
        '************************************************************************* 8p4J7 -  
        'Pupil diameter tb^8jC  
        '************************************************************************* %9,:  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) %LeQpbyOR  
    l(-We.:(  
        'Adjust pupil diameter (trimming volume inner hole) #) eI]  
    #cB=] (N  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" wVSM\  
    Z(fXN$  
        ' Adjust pupil location to just in front of the lens dP>~ExYtm  
        parID = FindFullName( "Geometry.Arizona Eye" ) m `"^d #  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) \Tf$i(0q  
        count = 0 pmm?Fq!s=  
        While GetOperationCount(eID)>count :%[=v (G[  
            GetOperation eID, count, op iV h^;  
            If op.Type="ShiftZ" Then XLEEd?Vct9  
                DeleteOperation eID,count ~r<@`[-L  
                count=count-1 yc4?'k!  
            End If wul$lJ?tE  
            count=count+1 n#jBqr&!M  
        Wend 3\x@G)1  
        op.Type = "ShiftZ" [E9V#J89  
        op.val1 = taq-0.01 ?gknJ:  
        op.parent = parID W[pOLc-  
        AddOperation eID, op |Ai/q6u  
    K gN=b  
        Print "Set pupil diameter = " & pupilDiam 'r&az BO  
    \!!qzrq  
        'Update AZ Eye subassembly Description XJx$HM&0M  
        eID = FindFullName( "Geometry.Arizona Eye" ) .YV{wL@cB  
        GetEntity eID, entity xvP=i/SO  
        entity.Description = "Accommodation = " & A & "D" $]V,H"  
        SetEntity eID, entity 4 &r5M  
    bve_*7CEM  
        Update RJpH1XQ j  
        Print "DONE!" _?j66-( Q  
         |u r/6{Oj1  
    End Sub 9q +I  
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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:  8*nv+  
    U GA_^?4  
    Accommodation = 4 Diopters L1'PQV  
    Pupil Diameter = 4 mm r[doN{%  
    Set aqueous humor thickness = 2.81 4LG[i}u.N  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 j@N z  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 -^1}J  
    Set lens thickness = 3.927 F52%og~N  
    Set lens index of refraction = 1.42672 9((BOq  
    Set pupil diameter = 4 5yOIwzr&Uu  
    DONE! 1NHiW v  
    a ~s:f5S>  
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    QQ:2987619807 o#"U8N%r  
     
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