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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 /7p(%vr  
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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。 x FM^-`7  
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    模型 $9r4MMs{$  
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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。 E.ji;5  
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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. P6ktA-Hv>  
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    光源 N'aq4okoL  
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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。 [UC_  
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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。 yJ0 %6],^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。 IO=$+c  
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    图2. 字母F光源的设定方法光 6vps`k$,~  
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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 YX)Rs Vf  
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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。 w{2CV\^>5  
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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。 8Lx1XbwK  
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    图5. 视网膜重点采样规格设定
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    脚本 /BQqg0 8@L  
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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: |j9aTv[`  
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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。 2fu<s^9dh  
    余下的脚本计算与屈光度有关的所有参数。 Yo' Y-h#  
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    分析 r<:d+5"  
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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。 pmWy:0R  
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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 -vT{D$&1  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. W}3%BWn  
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    Dim entity As T_ENTITY b)e;Q5Z(.  
    Dim op As T_OPERATION t^zE^:06  
    Dim mat As T_MODELMATERIAL gt(p%~  
    Dim A As Double s2|.LmC3|B  
    Dim pupilDiam As Double =7H\llL4BC  
    Dim eID As Long :3D6OBkB  
    Dim parID As Long ?a% F3B  
    Dim count As Integer ' v CMf  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double z~~pH9=c2  
    Dim tlens As Double, nlens As Double "9QZX[J|*  
    Dim curv As Double, conic As Double =SeQ- H#  
    Dim ok As Long S5ai@Ks f  
    a@|H6:|  
    Sub Main cb0rkmO  
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        '用户输入对话框 .[1 f$  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 U5~aG!E  
            TextBox 220,21,40,21,.TextBox1 'default: 0 4:a ~Wlp[  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 a:UkVK]MP  
            OKButton 40,91,90,21 =p=/@FN  
            CancelButton 190,91,90,21 F!u)8>s+z{  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 \#Jq%nd  
            TextBox 220,49,40,21,.TextBox2 'default: 4 x7<l*WQ  
        End Dialog _D?/$D7u#%  
        Dim dlg As UserDialog lZ[J1:%  
    7.ein:M|CB  
        ok = Dialog (dlg) j$/#2%OVN  
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        If ok=0 Then    'cancel button was pressed cNmAr8^}  
            Print "Execution cancelled." wEX<[#a-  
            End hHVAN3e  
        End If wL3RcXW``e  
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        'Assign accommodation and pupil diameter & use defaults if field left empty Al8Dw)uG{  
        If dlg.TextBox1 = "" Then SG\ /m'F  
            A = 0           'Default accommodation 8,[ *BgeX  
        Else t1mG]  
            A = CDbl(dlg.TextBox1) \ctzv``/n  
        End If *aWh]x9TlU  
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        If dlg.TextBox2 = "" Then p"~@q}3  
            pupilDiam = 4   'Default pupil diameter /<$|tp\Rc  
        Else 4~$U#$u_  
            pupilDiam = CDbl(dlg.TextBox2) ~uZ9%UB_m  
        End If ^%Cd@!dk  
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        Print " " oPaoQbR(A  
        Print "Accommodation = " & A & " Diopters" CL7 /J[TS  
        Print "Pupil Diameter = " & pupilDiam & " mm" -X7x~x-  
    &1^~G0 Rh\  
        ' Calculate new parameters with accommodation `RE>gX  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness %@)q=*=y  
    iM:-750n/  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens M.MQ?`_"b  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens 4]0:zS*O  
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        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens 2 V\hG?<  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens $E^sA|KcT  
    c1+z(NQ3  
        tlens = 3.767 + 0.04*A                  'Lens thickness U"Bge\6x=  
    y&8`NS#_p?  
        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction V/"RCqY4  
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        'Adjust parameters to account for accommodation ELMz~vp  
    #`%S[)RT  
        '************************************************************************* S[/udA   
        'Aqueous thickness (Position of Lens) . a @7  
        '************************************************************************* #Y-_kQV*  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) wG)[Ik6:  
        GetCustomElement eID, entity cyHbAtl  
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        parID = FindFullName( "Geometry.Arizona Eye" ) ~-lUS0duh  
    ]|w~{X!b4  
        ' Delete any shift(s) in z p= x &X~  
        count = 0 6}c!>n['  
        While GetOperationCount(eID)>count Nr,I`x\N  
            GetOperation eID, count, op upk_;ae  
            If op.Type="ShiftZ" Then Yqo@ g2g  
                DeleteOperation eID,count r]D>p&4  
                count=count-1 BOM0QskLf  
            End If 1)ij*L8k  
            count=count+1 \vV]fX   
        Wend =+DhLH}8  
    Bt$,=k  
        'Set new shift in `VGw5o  
        op.Type = "ShiftZ"  Q$`uZ  
        op.val1 = taq #sjGju"#_  
        op.parent = parID b|kL*{;  
        AddOperation eID, op |G6'GTwZD  
        Print "Set aqueous humor thickness = " & taq-0.55 I D-I<Ev  
    &1 yErGXC  
        '************************************************************************* ..'"kX:5  
        'Radius and conic constant of anterior lens T5T[$%]6  
        '************************************************************************* :ntAU2)H  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) Zn)o@'{}{  
        GetConic eID, entity, curv, conic Ujvm|ml  
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        SetConic eID, entity, 1/Rant, CCant j%]sym  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant D[6sy`5l  
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        '************************************************************************* ){,M v:#+T  
        'Radius and conic constant of posterior lens W}zq9|p  
        '************************************************************************* c0&! S-4M  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) LXrk5>9  
        GetConic eID, entity, curv, conic a;~< iB;3"  
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        SetConic eID, entity, 1/Rpost, CCpost Ks(l :oUB  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost yn(bW\  
    +`B^D  
        '************************************************************************* ]uh/!\  
        'Lens thickness (Position of posterior lens surface) IFa~`Gf[  
        '************************************************************************* M80O;0N%A  
    6iEg]FI  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) ]{+Y!tD  
    <W7WlT  
        ' Delete any z-shift(s) ]E DC s?,  
        count = 0 b~YIaD[Z  
        While GetOperationCount(eID)>count i$6a0'@U  
            GetOperation eID, count, op 7z/O#Fbs  
            If op.Type="ShiftZ" Then y )<+?@sP  
                DeleteOperation eID,count itiSZL,  
                count=count-1 8+Gwv SDU  
            End If SsfC m C  
            count=count+1 e6{E(=R[M  
        Wend N$:-q'hX  
    Vl<7>  
        'Set new z-shift {KEmGHC4R  
        op.Type = "ShiftZ" o :4#Ak S  
        op.val1 = tlens }rs>B,=*k  
        op.parent = parID n8T'}d+mm  
        AddOperation eID, op ^4<&"aoo  
        Print "Set lens thickness = " & tlens D eT$4c*:[  
    T;PLUjp}  
        '************************************************************************* Pl`Nniy  
        'Lens index of refraction .XkVdaX  
        '************************************************************************* #67 7,dn  
        eID = FindMaterial( "Lens" ) 9GTp};Kg  
        GetModelMaterial eID, mat hK{<&T  
    mZM7 4!4X  
        mat.Nd = nlens f3>DmH#  
        SetModelMaterial eID, mat H5UF r,t  
        Print "Set lens index of refraction = " & nlens c"1Z,M;G  
    @+y,E-YTdV  
        '************************************************************************* vO/3bu}  
        'Pupil diameter G)Y,*.,  
        '************************************************************************* 7i#/eRui  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) BD^1V( I/  
    0O]v|  
        'Adjust pupil diameter (trimming volume inner hole) pDvznpQ  
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        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" J ^<uo (  
    <Kl$ek8  
        ' Adjust pupil location to just in front of the lens {5d 5Y%&  
        parID = FindFullName( "Geometry.Arizona Eye" ) [9MbNJt 8~  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) 7~k=t!gTY  
        count = 0 Y ZuA"l Y  
        While GetOperationCount(eID)>count \.Op6ECV9  
            GetOperation eID, count, op ^kz(/c/?  
            If op.Type="ShiftZ" Then )t\aB_ =  
                DeleteOperation eID,count H?xY S| n  
                count=count-1 2\T\p<_20  
            End If ~$"2,&  
            count=count+1 "J+4  
        Wend CHD.b%_|  
        op.Type = "ShiftZ" _G25$%/LU  
        op.val1 = taq-0.01 39F e#u  
        op.parent = parID P$*Ngt  
        AddOperation eID, op u-mD"  
     vP? T  
        Print "Set pupil diameter = " & pupilDiam ]H\tz@ &  
    iJmzVR+  
        'Update AZ Eye subassembly Description 5wl;fL~e  
        eID = FindFullName( "Geometry.Arizona Eye" ) B##X94aTT  
        GetEntity eID, entity V RD^>Gi  
        entity.Description = "Accommodation = " & A & "D" y%kZ##  
        SetEntity eID, entity . sFN[>)  
    ha 2=O  
        Update "VU/Ucb7  
        Print "DONE!" ~(GN Y5  
         DZ`m{l3H  
    End Sub pv-c>8Wb6  
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    如果屈光度是4,光瞳直径是4,则会输出如下数据: {s*2d P)  
    ^M;#x$Y?  
    Accommodation = 4 Diopters ?A*!rW:l;  
    Pupil Diameter = 4 mm 3T4HX|rC  
    Set aqueous humor thickness = 2.81 9 Qa_3+.B  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 hCd? Kti  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 A=p'`]Yld  
    Set lens thickness = 3.927 v_WQ<G?  
    Set lens index of refraction = 1.42672 V{A`?Jl6{  
    Set pupil diameter = 4 SO[ u4b_"h  
    DONE! *)6\ V}`  
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    QQ:2987619807 uLPBl~Y  
     
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