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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 Wm!lWQu7  
    PEqO<a1Z8  
    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。 j}}:&>;  
    _EMq"\ND  
    模型 M5DQ{d<r  
    ;T6{J[ h  
    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。 "|<6 bA  
    ?`T< sk8c  
    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. |L|)r)t  
    I{#&!h>]U  
    光源 P6q`i<  
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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。 G=?2{c}U  
    U^+xCX<  
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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。 mHcxK@qw  
    Zq wxi1  
    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。 e_mUO"  
    m]LR4V6k|  
    图2. 字母F光源的设定方法光 /'vCO |?L  
    ?S&pq?   
    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 7g@P$e]  
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    在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 ={_.}   
    ' *hy!f]  
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    图4. 视网膜朗伯散射设定
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    注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 S-)mv'Al'F  
    MR8\'0]  
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    图5. 视网膜重点采样规格设定
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    脚本 O7r<6(q(  
    %N}O Mc.W  
    内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: UG)J4ZX  
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    图6. 用户对话框的创建与编辑
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    图7. 用户对话框编辑器
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    如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 ERSo&8  
    余下的脚本计算与屈光度有关的所有参数。 YbS$D  
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    分析 BGAqg=nDV  
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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。 ]WLQ q4q  
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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 UuDT=_1Sh  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. _"BYnPq@wb  
    fAx7_}k/ m  
    Dim entity As T_ENTITY aDJ\%  
    Dim op As T_OPERATION f5)4H  
    Dim mat As T_MODELMATERIAL WH`E=p^x4  
    Dim A As Double ,SEC~)L  
    Dim pupilDiam As Double $|0_[~0-n  
    Dim eID As Long <PBrW#:'  
    Dim parID As Long 3&*_5<t\X  
    Dim count As Integer Z+jgFl 4  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double ^a9v5hu  
    Dim tlens As Double, nlens As Double X6_m&~}15  
    Dim curv As Double, conic As Double %<^B\|d'?  
    Dim ok As Long UsT+o  
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    Sub Main \etuIFQ#U  
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        '用户输入对话框 ^T}6o Ud  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 Q)"L8v v  
            TextBox 220,21,40,21,.TextBox1 'default: 0 `o7m)T')  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 y\}39Z(]  
            OKButton 40,91,90,21 S<RJ46  
            CancelButton 190,91,90,21 We^! (G  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 ] r8 hMv  
            TextBox 220,49,40,21,.TextBox2 'default: 4 R-xWZRl>  
        End Dialog o+U]=q*|)$  
        Dim dlg As UserDialog V{51wnxT  
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        ok = Dialog (dlg) AEjkqG4qv  
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        If ok=0 Then    'cancel button was pressed JryCL]  
            Print "Execution cancelled." L%D:gy9o  
            End 5o2W[<%v  
        End If aBV{Xr~#(  
    L,I5/K6  
        'Assign accommodation and pupil diameter & use defaults if field left empty .gmNE$d  
        If dlg.TextBox1 = "" Then P%Fkd3e+  
            A = 0           'Default accommodation @S3G>i  
        Else x50,4J%J'r  
            A = CDbl(dlg.TextBox1) C^uH]WO  
        End If ~=W|I:@  
    /mELnJ^  
        If dlg.TextBox2 = "" Then ,TuDG*YA  
            pupilDiam = 4   'Default pupil diameter & w{""'  
        Else zE"ME*ou  
            pupilDiam = CDbl(dlg.TextBox2) cE7xNZ;Bh  
        End If e}qG_*  
    IvLo&6swW  
        Print " " oH/6  
        Print "Accommodation = " & A & " Diopters" <|= UrG  
        Print "Pupil Diameter = " & pupilDiam & " mm" 7%aaqQ1T  
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        ' Calculate new parameters with accommodation x"kc:F  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness kj(Ko{  
    @^Tof5?F?  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens w6F'rsko]  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens Qz*!jwg  
    Z P\A  
        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens chjXsq#Q^  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens %vPs38Fks  
    e/@tU'$  
        tlens = 3.767 + 0.04*A                  'Lens thickness E|u#W3-:  
    >YPC &@9   
        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction TV$Pl[m   
    ?b?`(JTR  
        'Adjust parameters to account for accommodation LQVa,'  
    I>k >^  
        '************************************************************************* |1d;0*HIgX  
        'Aqueous thickness (Position of Lens) a`.] 8Jy)  
        '************************************************************************* S4RvWTtQV  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) 0i}4T:J@`  
        GetCustomElement eID, entity Rpit>  
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        parID = FindFullName( "Geometry.Arizona Eye" ) G([8Q8B4 +  
    f&+=eUp  
        ' Delete any shift(s) in z N>z<v\`  
        count = 0 v,t&t9}/  
        While GetOperationCount(eID)>count !,}W|(P)  
            GetOperation eID, count, op [n/'JeG5  
            If op.Type="ShiftZ" Then )zK`*Fa az  
                DeleteOperation eID,count C`F*00M{  
                count=count-1 +hdD*}qauC  
            End If *hI  
            count=count+1 ` aTkIo:ms  
        Wend Jd_w:H.  
    5>.)7D%  
        'Set new shift in 8>.l4:`  
        op.Type = "ShiftZ" 1 h(oty2p  
        op.val1 = taq $YvT* T$_  
        op.parent = parID eto3dJ!R  
        AddOperation eID, op @DgJxY|  
        Print "Set aqueous humor thickness = " & taq-0.55 J{$+\  
    X+;F5b9z  
        '************************************************************************* V$u~}]z  
        'Radius and conic constant of anterior lens uLV@D r   
        '************************************************************************* aVv$k  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) M/GQQG;  
        GetConic eID, entity, curv, conic J%']t$ AR  
    T1bPI/  
        SetConic eID, entity, 1/Rant, CCant )/FB73!  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant W69 -,w/  
    A:Z$i5%'  
        '************************************************************************* 0-~Y[X"9.  
        'Radius and conic constant of posterior lens %V-\|cw   
        '************************************************************************* [Af&K22M(X  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) V6l*!R  
        GetConic eID, entity, curv, conic iTgGf  
    P<b.;Oz__-  
        SetConic eID, entity, 1/Rpost, CCpost L-_dq0T  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost 5Cxh >,k  
    BCV<( @c  
        '************************************************************************* @xR7>-$0p  
        'Lens thickness (Position of posterior lens surface) m7X&"0X  
        '************************************************************************* $ wGDk  
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        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) <,qJ% kc  
    U,"lOG'  
        ' Delete any z-shift(s) e*_8B2da  
        count = 0 'Im7^!-d  
        While GetOperationCount(eID)>count zmkqqiDp_  
            GetOperation eID, count, op `j*&F8}  
            If op.Type="ShiftZ" Then Ms5m.lX  
                DeleteOperation eID,count Z;shFMu  
                count=count-1 Bb[%?~ E!  
            End If Lv@JfN"O  
            count=count+1 BQWEC,*N  
        Wend lTe}[@(  
    o Xwoi!  
        'Set new z-shift g~_cYy  
        op.Type = "ShiftZ" |D)NP N&  
        op.val1 = tlens 2UY0:y  e  
        op.parent = parID ]bO {001y,  
        AddOperation eID, op lJ@2N$w  
        Print "Set lens thickness = " & tlens ($*bwqp]}  
    T[M?:~  
        '************************************************************************* B e+'&+  
        'Lens index of refraction !cnunLc`  
        '************************************************************************* <{m!.9g9  
        eID = FindMaterial( "Lens" ) ey<u  
        GetModelMaterial eID, mat ,Iq+v  
    VKy:e.  
        mat.Nd = nlens k$kq|  
        SetModelMaterial eID, mat 2%0z PflT  
        Print "Set lens index of refraction = " & nlens r$=MBeT  
    ^7v}wpwX\  
        '************************************************************************* lZCvH1&"  
        'Pupil diameter \{J gjd  
        '************************************************************************* i'J.c4  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) Ixm< wKwW#  
    LFy5tX#  
        'Adjust pupil diameter (trimming volume inner hole) (8o~ XL  
    P(G$@},W  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" ~Kda#=  
    A<^IG+Q,B7  
        ' Adjust pupil location to just in front of the lens |Hg)!5EJ  
        parID = FindFullName( "Geometry.Arizona Eye" ) 9F)v=  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) !q~s-~d^  
        count = 0 {'Nvs_{6  
        While GetOperationCount(eID)>count # 'G/&&<  
            GetOperation eID, count, op 2D`@$)KL  
            If op.Type="ShiftZ" Then )c5 M;/s  
                DeleteOperation eID,count !zLd ,`  
                count=count-1 r=4'6!  
            End If o%h"gbvMY!  
            count=count+1 JC`|GaUy  
        Wend ]O',Ei^  
        op.Type = "ShiftZ" 6FG h=~{3,  
        op.val1 = taq-0.01 L?&+*|VxI  
        op.parent = parID  CJg &  
        AddOperation eID, op iZ#dS}VlJ  
    :bwdEni1P  
        Print "Set pupil diameter = " & pupilDiam /S1EQ%_  
    w=d#y )1  
        'Update AZ Eye subassembly Description '#xxjhF^  
        eID = FindFullName( "Geometry.Arizona Eye" ) `x$d8(1J`#  
        GetEntity eID, entity &0SGAJlec  
        entity.Description = "Accommodation = " & A & "D" t5N@ z  
        SetEntity eID, entity *3WK:0  
    NUiZ!&  
        Update -h^FSW($-R  
        Print "DONE!" n[n0iz1-  
         }!\NdQs  
    End Sub 4;Z`u.1  
    _CAW D;P  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: %]nY v#K  
    B)/X:[  
    Accommodation = 4 Diopters >8Zz<S&z  
    Pupil Diameter = 4 mm )5gcLD/zI  
    Set aqueous humor thickness = 2.81 K@U"^ `G2  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 </tiNc  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 -"u}lCz>  
    Set lens thickness = 3.927 _IOeO  
    Set lens index of refraction = 1.42672 [J\5DctX;c  
    Set pupil diameter = 4 !1+L0,I6  
    DONE!  dKDtj:  
     
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