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    [技术]Arizona眼睛模型 [复制链接]

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    只看楼主 正序阅读 楼主  发表于: 2021-10-22
    简介 <Z:Fnp  
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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。 D&C83^m  
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    模型 S9@2-Oc  
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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。 N{<9N jmm  
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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. M"l<::z  
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    光源 ~V`F5B  
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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。 0[QVU,]<  
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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。 \7elqX`.yY  
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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。 vOnhJN  
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    图2. 字母F光源的设定方法光 p*l]I *x'<  
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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 "H"4]m1Wc  
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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。 g*a|QBj%  
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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。 b$O1I[o  
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    图5. 视网膜重点采样规格设定
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    脚本 ]%I}hj J  
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    内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: GL- r;  
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    图6. 用户对话框的创建与编辑
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    图7. 用户对话框编辑器
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    如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 stcbM  
    余下的脚本计算与屈光度有关的所有参数。 )cUFb:D*"  
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    分析 %"{jNC?  
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    屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 :^92B?q  
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    图7. 字母F在视网膜上颜色分析
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    脚本代码 u U;]/  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. yL.Z{wd  
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    Dim entity As T_ENTITY +D&aE$<  
    Dim op As T_OPERATION ImZ!8#  
    Dim mat As T_MODELMATERIAL nPh| rW=  
    Dim A As Double W2 p&LP  
    Dim pupilDiam As Double yWkg4  
    Dim eID As Long {T2=bK~  
    Dim parID As Long Kp.d#W_TX  
    Dim count As Integer J=@D]I*3  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double kH9P(`;Vq  
    Dim tlens As Double, nlens As Double XzV:q!e-  
    Dim curv As Double, conic As Double ,rZp(moj  
    Dim ok As Long 2zQ62t}  
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    Sub Main R-\a3q  
    [ _N w5_  
        '用户输入对话框 20Rj Rd  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 LH_rc  
            TextBox 220,21,40,21,.TextBox1 'default: 0 U 4Sxr  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 N~] 4,~  
            OKButton 40,91,90,21 G:k]tZ*`  
            CancelButton 190,91,90,21 jXu)%<  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 Fu;\t 0  
            TextBox 220,49,40,21,.TextBox2 'default: 4 m?4L>'  
        End Dialog dd&n>A3O=  
        Dim dlg As UserDialog ? ^l{t4  
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        ok = Dialog (dlg) E!_mXjlPc  
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        If ok=0 Then    'cancel button was pressed KbP( ;  
            Print "Execution cancelled." 5UU1HC;C  
            End g$P<`.  
        End If :e|[gEA  
    \4qw LM?E^  
        'Assign accommodation and pupil diameter & use defaults if field left empty F )|0U~  
        If dlg.TextBox1 = "" Then S( nZ]QEG  
            A = 0           'Default accommodation rr;p;  
        Else +&j&es  
            A = CDbl(dlg.TextBox1) Q3OGU}F  
        End If m.|__L  
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        If dlg.TextBox2 = "" Then 6~#$bp^-  
            pupilDiam = 4   'Default pupil diameter qT}AY.O%^  
        Else %DqPRl.Gu  
            pupilDiam = CDbl(dlg.TextBox2) RD1N@sHDKc  
        End If [@RJ2q$  
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        Print " " q[rBu9  
        Print "Accommodation = " & A & " Diopters" g~#HiBgWq[  
        Print "Pupil Diameter = " & pupilDiam & " mm" G5K_e:i  
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        ' Calculate new parameters with accommodation A"$UU6Z4  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness 1_Ag:> #X  
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        Rant = 12.0 - 0.4*A                     'Radius of anterior lens bm Hl\?  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens n@ rphJb  
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        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens -kZOve|5  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens [ S_8;j  
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        tlens = 3.767 + 0.04*A                  'Lens thickness D%k`udz<  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction L4wKG&  
    ~ R:=zGDV  
        'Adjust parameters to account for accommodation 4Z"JC9As  
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        '************************************************************************* )C0dN>Gb  
        'Aqueous thickness (Position of Lens) fsr0E=nV  
        '************************************************************************* k%[pZ 5.!  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) R,'` A.Kk  
        GetCustomElement eID, entity a*fUMhIi  
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        parID = FindFullName( "Geometry.Arizona Eye" ) x<-n}VK\  
    /'S@iq  
        ' Delete any shift(s) in z y66V&#`,e0  
        count = 0 pMfP3G7V  
        While GetOperationCount(eID)>count EP ;TfWc}1  
            GetOperation eID, count, op 9iWs'M  
            If op.Type="ShiftZ" Then G"~%[k  
                DeleteOperation eID,count 5m e|dvk  
                count=count-1 :vqfWK6mv  
            End If .S{Q }S  
            count=count+1 @aX$}  
        Wend k8~/lE.Wy  
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        'Set new shift in }/{G  
        op.Type = "ShiftZ" HRPNZ!B  
        op.val1 = taq 5V{ B,T  
        op.parent = parID GG KD8'j]  
        AddOperation eID, op in/ITy-  
        Print "Set aqueous humor thickness = " & taq-0.55 W%)uKQha  
    %^r}$mfy:0  
        '************************************************************************* s?j` _ B  
        'Radius and conic constant of anterior lens e{8j(` (;#  
        '************************************************************************* ATdK)gG  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) ~sd+ch*  
        GetConic eID, entity, curv, conic f"8!uE*;  
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        SetConic eID, entity, 1/Rant, CCant @n-[bN  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant "gR W91 T  
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        '************************************************************************* <`~zKFUQ[  
        'Radius and conic constant of posterior lens ;g0p`wV  
        '************************************************************************* 5tIM@,.I/  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) j#`d%eQ~J  
        GetConic eID, entity, curv, conic K1F,M9 0]  
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        SetConic eID, entity, 1/Rpost, CCpost ^YpA@`n  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost ?-"%%#  
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        '************************************************************************* 6"d^4L?  
        'Lens thickness (Position of posterior lens surface) 8, >YB+Hb  
        '************************************************************************* .>K):|Opv  
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        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) '_~X(izc  
    N<xf=a+j  
        ' Delete any z-shift(s) k]vrqjn Q  
        count = 0 m}x&]">9  
        While GetOperationCount(eID)>count 2(, `9  
            GetOperation eID, count, op  QTN _Z#'  
            If op.Type="ShiftZ" Then w_gPX0N}3n  
                DeleteOperation eID,count k#4%d1O}  
                count=count-1 a!;]9}u7  
            End If XYKWOrkQqa  
            count=count+1 y5XHJUTu  
        Wend &*}NN5Sv  
    GS%i<HQ3  
        'Set new z-shift J| orvnkK  
        op.Type = "ShiftZ" o4)^U t+  
        op.val1 = tlens {L!w/IeX  
        op.parent = parID yMQuM :d  
        AddOperation eID, op N}Ol`@@#h  
        Print "Set lens thickness = " & tlens x,s Ma*vd  
    Wp0e?bK_  
        '************************************************************************* x4PH-f-7  
        'Lens index of refraction blwdcdh  
        '************************************************************************* vZdn  
        eID = FindMaterial( "Lens" ) d2Z kchf  
        GetModelMaterial eID, mat iK*2 Z$`lw  
    RP 2MtP"M  
        mat.Nd = nlens X(-e-:B4;  
        SetModelMaterial eID, mat G;n'c7BV  
        Print "Set lens index of refraction = " & nlens ~zklrBn&  
    1_Um6vS#  
        '************************************************************************* 4T-9F  
        'Pupil diameter KfU4#2}  
        '************************************************************************* $c-h'o  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) RLypWjMx$  
    "t<$ {  
        'Adjust pupil diameter (trimming volume inner hole) )`RF2Y-A7  
    ?|8QL9Q"|  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" G`9\v=0  
     +X i#y}%  
        ' Adjust pupil location to just in front of the lens }+[H~8)5  
        parID = FindFullName( "Geometry.Arizona Eye" ) 4:\s.Z{!3  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) 8oSndfV  
        count = 0 +\FTR  
        While GetOperationCount(eID)>count `.z;.&x  
            GetOperation eID, count, op 8&6h()  
            If op.Type="ShiftZ" Then \*}JdEHB  
                DeleteOperation eID,count :X>%6Xj?RV  
                count=count-1 >EFjyhVE  
            End If ]Dm'J%P0}  
            count=count+1 p @@TOS  
        Wend `~Eo;'(+^  
        op.Type = "ShiftZ" *p;Fwj]  
        op.val1 = taq-0.01 5oQy $Y  
        op.parent = parID r5qp[Ss3F  
        AddOperation eID, op =J0X{Ovn4z  
    V#?GDe}[  
        Print "Set pupil diameter = " & pupilDiam \UI7H1XDH  
    ^l#Z*0@><~  
        'Update AZ Eye subassembly Description 7|6uY  
        eID = FindFullName( "Geometry.Arizona Eye" ) @O}%sjC1  
        GetEntity eID, entity od{b]HvgS  
        entity.Description = "Accommodation = " & A & "D" xrX^";}j  
        SetEntity eID, entity \ajy%$;$}  
    a3i4eGT-  
        Update >Vr+\c  
        Print "DONE!" ]/!#:  
         ?5e:w?&g@  
    End Sub SxLu<  
     k%V#{t.  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: 75~>[JM  
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    Accommodation = 4 Diopters .P\wE";  
    Pupil Diameter = 4 mm <syMrXk)R(  
    Set aqueous humor thickness = 2.81 +0mU)4n/  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 j  )6A  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 XVjs0/5b  
    Set lens thickness = 3.927 >3V{I'^^-  
    Set lens index of refraction = 1.42672  4l+"J:,  
    Set pupil diameter = 4 Bk&ry)`gD  
    DONE! OD !b*Iy|  
     
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