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    [技术]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: 2021-10-22
    简介 z6L>!=  
    ^ T:qT*v  
    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。 TYJnQ2m  
    @3expC  
    模型 ~H yyq-  
    jV|$? Rcl%  
    模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 ==e#CSJq  
    upEPv .h  
    Table 1. AZ眼睛模型的定义
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    在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. Cr V2 V)|G  
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    光源 &\6`[# bT  
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    多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 .olP m3MC  
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    图1. 光源和提示信息使用
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    除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 VATXsD  
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    在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 x9o^9QJh  
    "e7$q&R |  
    图2. 字母F光源的设定方法光 J:mu%N`  
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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 n%MYX'0  
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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。 Pguyf2/w  
    \Zz= 4 j  
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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。 sKG~<8M}  
    X?}GPA4 W  
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    图5. 视网膜重点采样规格设定
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    脚本 X5oW[  
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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: !Bd* L~D  
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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
    "JUQ)> !?  
    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。 o|*|  
    余下的脚本计算与屈光度有关的所有参数。 6L6~IXL>  
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    分析 cmGj0YUQ1  
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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。 5N3!!FFE  
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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 feq6!k7  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. ?o(X0  
    /HJ(Wt q  
    Dim entity As T_ENTITY J0*]6oD!  
    Dim op As T_OPERATION ~ :b:_ 5"  
    Dim mat As T_MODELMATERIAL 5bznM[%xO  
    Dim A As Double vyx\N{  
    Dim pupilDiam As Double 53+rpU_  
    Dim eID As Long ]E8<;t)#  
    Dim parID As Long $E_vCB _  
    Dim count As Integer lbuW*)  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double 5iI3u 7Mn1  
    Dim tlens As Double, nlens As Double ):\{n8~  
    Dim curv As Double, conic As Double .8PO7#  
    Dim ok As Long y>cmKE  
    [Fj#7VZK  
    Sub Main B[_bJ *  
    Z2j*%/  
        '用户输入对话框 3(GrDO9^  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 .s*EV!SE  
            TextBox 220,21,40,21,.TextBox1 'default: 0 [QqNsco)  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 S{)n0/_  
            OKButton 40,91,90,21 Am?Hkh2  
            CancelButton 190,91,90,21 >dm._*M  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 Yg,WdVI&@  
            TextBox 220,49,40,21,.TextBox2 'default: 4 ;@Hi*d[  
        End Dialog kRXg."b(  
        Dim dlg As UserDialog bq&S?! =s  
    DUliU8B}\  
        ok = Dialog (dlg) pr,1Wp0l  
    -Tkd@  
        If ok=0 Then    'cancel button was pressed irw 7  
            Print "Execution cancelled." NlEWm8u   
            End "PScM9)\  
        End If m#K%dR  
    l5OV!<7~X  
        'Assign accommodation and pupil diameter & use defaults if field left empty dQ|Ht[ s=  
        If dlg.TextBox1 = "" Then hSKH#NS  
            A = 0           'Default accommodation hYv 6-5_  
        Else Aag)c~D  
            A = CDbl(dlg.TextBox1) /\$|D&e  
        End If ~_j%nJ &2  
    m"7R 4O  
        If dlg.TextBox2 = "" Then YB1DL ^ :  
            pupilDiam = 4   'Default pupil diameter t\bxd`,  
        Else 9}0Jc(B/x  
            pupilDiam = CDbl(dlg.TextBox2) M-K@n$k   
        End If 3N*C]  
    q[+: t   
        Print " " I_I;.Ik  
        Print "Accommodation = " & A & " Diopters" @wgGnb)  
        Print "Pupil Diameter = " & pupilDiam & " mm" $#JVI:  
    St&HE:  
        ' Calculate new parameters with accommodation 0@x$Cp  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness SVWSO  
    wvaIgy%z  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens @%G"i:HZ&  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens sH,)e'0  
    lbU+a$  
        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens )bU")  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens m9w ; a  
    SA n=9MG  
        tlens = 3.767 + 0.04*A                  'Lens thickness NWwtq&pz2  
    [#6Esy8|  
        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction /~huTKA}  
    ;U3Vows  
        'Adjust parameters to account for accommodation A?k,}~  
    #&c;RPac!6  
        '************************************************************************* -?`l<y(  
        'Aqueous thickness (Position of Lens) U9sub6w6  
        '************************************************************************* s:F+bG}|  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) Q09~vFBg  
        GetCustomElement eID, entity = d.W'q|  
    .+ o>  
        parID = FindFullName( "Geometry.Arizona Eye" ) afq +;Sh  
    u N0fWj]  
        ' Delete any shift(s) in z }4]x"DfIg  
        count = 0 [y;ZbfMP|o  
        While GetOperationCount(eID)>count <U`Nb) &  
            GetOperation eID, count, op QO1Gq9  
            If op.Type="ShiftZ" Then T\CQ  
                DeleteOperation eID,count Awf = yE:  
                count=count-1 @_ ZW P  
            End If c;}n=7,>:L  
            count=count+1 B_jI!i{N%o  
        Wend f|1FqL+T]  
    :Zo2@8@7  
        'Set new shift in b+apNph  
        op.Type = "ShiftZ" s(Bi& C\  
        op.val1 = taq l 8us6  
        op.parent = parID O[B_7  
        AddOperation eID, op ,8 ?*U]}  
        Print "Set aqueous humor thickness = " & taq-0.55 sn`?Foh  
    C)}LV  
        '************************************************************************* jN>UW}?  
        'Radius and conic constant of anterior lens x+`3G.  
        '************************************************************************* 2]f.mq_PD  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) 3-%~{(T/  
        GetConic eID, entity, curv, conic #N}}8RL  
    &scD)  
        SetConic eID, entity, 1/Rant, CCant 4tNgK[6M  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant g c=|< (  
    LOkDx2@g  
        '************************************************************************* B#n}y  
        'Radius and conic constant of posterior lens oD1=}  
        '************************************************************************* tO3B_zC  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) wk/U"@lq  
        GetConic eID, entity, curv, conic aJ;R8(*;\  
    0Hf-~6  
        SetConic eID, entity, 1/Rpost, CCpost iPNs EQ0We  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost }gaKO 5  
    ~36XJ  
        '************************************************************************* uRhH_c-6C  
        'Lens thickness (Position of posterior lens surface) Ll48)P{+}V  
        '************************************************************************* me\)JCZpb{  
    s_kd@?=`x  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) Yr0i9Qow  
    sRI8znus  
        ' Delete any z-shift(s) S@-X?Lu  
        count = 0 1H@F>}DP  
        While GetOperationCount(eID)>count 3e1"5~?'<  
            GetOperation eID, count, op dU n#'<g5  
            If op.Type="ShiftZ" Then [/]3:|  
                DeleteOperation eID,count lR^Qm|  
                count=count-1 ;yrcH+I$_  
            End If )A;<'{t #L  
            count=count+1 =J\7(0Dz4t  
        Wend -W vAmi  
    U?yXTMD  
        'Set new z-shift mt7:`-  
        op.Type = "ShiftZ" EJY:C9W  
        op.val1 = tlens -ZJ:<  
        op.parent = parID "$9ZkADO  
        AddOperation eID, op xSZw,  
        Print "Set lens thickness = " & tlens <h0ptCB  
    roQIP%h!  
        '************************************************************************* ] "_'o~  
        'Lens index of refraction qIp`'.#m  
        '************************************************************************* > xw+2<  
        eID = FindMaterial( "Lens" ) GrIdQi^8  
        GetModelMaterial eID, mat )BDi2: u  
    ,oe4*b}O=.  
        mat.Nd = nlens IC~D?c0H:  
        SetModelMaterial eID, mat qxh\umm+2  
        Print "Set lens index of refraction = " & nlens hG)lVo!L4j  
    r?*?iw2g  
        '************************************************************************* )I_I?e  
        'Pupil diameter cd#TKmh7re  
        '************************************************************************* SNFz#*  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) Stpho4+/y  
    |R;=P(0it  
        'Adjust pupil diameter (trimming volume inner hole) Rwk|cqr  
    <u\G&cd_tA  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" A}# Mrb  
    p6*D^-  
        ' Adjust pupil location to just in front of the lens (reD  
        parID = FindFullName( "Geometry.Arizona Eye" ) LA5rr}<K  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) %yVZ|d*Q  
        count = 0 llJ)u!=5  
        While GetOperationCount(eID)>count __[q`  
            GetOperation eID, count, op L3\{{QOA  
            If op.Type="ShiftZ" Then F9" K  
                DeleteOperation eID,count q\<vCKI-^  
                count=count-1 d=XhOC$  
            End If ~@bKQ>Xw  
            count=count+1 ^4:= b  
        Wend k:.c(_2M  
        op.Type = "ShiftZ" e2Dj%=`EU  
        op.val1 = taq-0.01 dewu@  
        op.parent = parID ]]4E)j8  
        AddOperation eID, op B~IOM  
    fA^O  
        Print "Set pupil diameter = " & pupilDiam R<)uvW_@  
    s zg1.&  
        'Update AZ Eye subassembly Description Qt$Q/<8U  
        eID = FindFullName( "Geometry.Arizona Eye" ) ?{'Q}%  
        GetEntity eID, entity 1C{~!=6#  
        entity.Description = "Accommodation = " & A & "D" O<*iDd`(e  
        SetEntity eID, entity Ho/5e*X  
     xMU)  
        Update DzEixE-  
        Print "DONE!" JC-L80-  
         wP i=+  
    End Sub ?/~1z*XUW  
    .:0nK bW  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: tg:x}n  
    <tNx*ce5  
    Accommodation = 4 Diopters u/AN| y  
    Pupil Diameter = 4 mm q0 <g#jK  
    Set aqueous humor thickness = 2.81 (|-/S0AV  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 .B@;ch,  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 Tm `CA0@  
    Set lens thickness = 3.927 =uH`EkY:  
    Set lens index of refraction = 1.42672 %K%z<R8  
    Set pupil diameter = 4 %`~8j H@  
    DONE! :;EzvRy  
     
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