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    [技术]Arizona眼睛模型 [复制链接]

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    离线infotek
     
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    只看楼主 倒序阅读 楼主  发表于: 2021-10-22
    简介 3p'(E\VJ  
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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。 V<d`.9*}  
    mH'om SCz  
    模型 '9AYE"7Ydk  
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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。 |Lc.XxBkc  
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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. [Fr <tKtB  
    X\BdN Hr  
    光源 GEki34 n0  
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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。 Nh6!h%  
    0EC/l OS  
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    图1. 光源和提示信息使用
    /qd~|[Kx:  
    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。 T lB+ tV>  
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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。 ~VPE9D@  
    L0ZAF2O  
    图2. 字母F光源的设定方法光 M7neOQHq  
    #?bOAWAwLh  
    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 DWU(ld:_  
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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。 ~JOC8dO  
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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。 gq+#=!(2  
    (z%OK[  
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    图5. 视网膜重点采样规格设定
    r#^uY:T%  
    脚本 ^i17MvT'  
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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: 8b+%:eJ  
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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。 E_K32) J-  
    余下的脚本计算与屈光度有关的所有参数。 8|rlP  
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    分析 ,f[Oy:fr  
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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。 iM{cr&0  
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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 BU%gXr4Ra  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. 7T=:dv  
    *GM.2``e  
    Dim entity As T_ENTITY  C0j`H(  
    Dim op As T_OPERATION wUmcA~3D  
    Dim mat As T_MODELMATERIAL nsi&r  
    Dim A As Double rF . Oo0  
    Dim pupilDiam As Double ^+9i~PjL  
    Dim eID As Long ]U5/!e  
    Dim parID As Long '6Yx03t  
    Dim count As Integer g<MCvC@  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double 4-q8:5  
    Dim tlens As Double, nlens As Double o>\epQt~/p  
    Dim curv As Double, conic As Double ] U[4r9V  
    Dim ok As Long Iyt.`z  
    U p: M[S  
    Sub Main Ba;tEF{X  
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        '用户输入对话框 w'P!<JaZ  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 ?) VBkA5j  
            TextBox 220,21,40,21,.TextBox1 'default: 0 W/<C$T4  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 i8` 0-  
            OKButton 40,91,90,21 :Pi="  
            CancelButton 190,91,90,21 e>$E67h<~  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 Y/G~P,9  
            TextBox 220,49,40,21,.TextBox2 'default: 4 +L#Q3}=s  
        End Dialog 7By&cdl  
        Dim dlg As UserDialog !a9/8U_>XF  
    GhY MO6Q4  
        ok = Dialog (dlg) =7<g;u   
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        If ok=0 Then    'cancel button was pressed wRj&k(?*  
            Print "Execution cancelled." lNqF@eCT9  
            End LT) G"U~  
        End If  8=j_~&*  
    0uf)6(f  
        'Assign accommodation and pupil diameter & use defaults if field left empty ~Z x_"  
        If dlg.TextBox1 = "" Then el^WBC3  
            A = 0           'Default accommodation 5U%a$.yr  
        Else ?h'd\.j{  
            A = CDbl(dlg.TextBox1) *W=R:Bl!  
        End If T &kr IZw  
    Y+_t50 S  
        If dlg.TextBox2 = "" Then UU]a).rz  
            pupilDiam = 4   'Default pupil diameter r WPoR/M  
        Else hIMD2  
            pupilDiam = CDbl(dlg.TextBox2) DsF<P@O6  
        End If x8E!Ko](  
    I?%iJ%  
        Print " "  .'^Pg  
        Print "Accommodation = " & A & " Diopters" OG}m+K&<  
        Print "Pupil Diameter = " & pupilDiam & " mm" ~> |o3&G{  
    wdTjJf r  
        ' Calculate new parameters with accommodation Cw&U*H  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness ma(E}s  
    R(N5K4J  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens {/SLDyf%Z  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens w&^_2<a2  
    ".T&nS[z  
        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens cAc>p-y%  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens G,JNUok  
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        tlens = 3.767 + 0.04*A                  'Lens thickness @b"J FB|  
    )%]`uj>*[  
        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction Q{+N{/tF  
    uO;_T/^u  
        'Adjust parameters to account for accommodation 8.4+4Vxh   
    'J"m`a8no  
        '************************************************************************* W4o$J4IX{  
        'Aqueous thickness (Position of Lens) 8\@&~&(y:  
        '************************************************************************* D "9Hv3  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) l|p \8=  
        GetCustomElement eID, entity _qQB.Dzo:  
    \w\{x0u  
        parID = FindFullName( "Geometry.Arizona Eye" ) o&b1-=MC2  
    x7 l3&;yDv  
        ' Delete any shift(s) in z 1Ydym2  
        count = 0 Y1Qg|U o  
        While GetOperationCount(eID)>count h#!u"'JW  
            GetOperation eID, count, op O+Qt8,  
            If op.Type="ShiftZ" Then LU4k/  
                DeleteOperation eID,count Auz.wes  
                count=count-1 NRgNW1#  
            End If dwAFJhgh  
            count=count+1 O4i5 fVy{  
        Wend WGeTL`}dh  
    m?Qr)F_M  
        'Set new shift in L#^'9v}Hb  
        op.Type = "ShiftZ" !R.*Vn[  
        op.val1 = taq k9pOY]_Y  
        op.parent = parID 46cd5SLK  
        AddOperation eID, op wa*/Am9;~  
        Print "Set aqueous humor thickness = " & taq-0.55 HKZD*E((  
    !9knF t43  
        '************************************************************************* Mk~]0d  
        'Radius and conic constant of anterior lens r|>a;n Y  
        '************************************************************************* :L!O/Bd8V  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) B5Y 3GWhrx  
        GetConic eID, entity, curv, conic Dtw1q-  
    5VG[FY6Pl  
        SetConic eID, entity, 1/Rant, CCant &hb:~>  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant %8a886;2  
    !$i*u-%4  
        '************************************************************************* ]c'12 g]h  
        'Radius and conic constant of posterior lens SuU_psF  
        '************************************************************************* lSzLR~=Au  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) [j]3='2}G  
        GetConic eID, entity, curv, conic |3A/Og  
    sw'?&:<"Ow  
        SetConic eID, entity, 1/Rpost, CCpost Pgg\(D#X`  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost Rr|&~%#z  
    8(EK17rE `  
        '************************************************************************* Mr3;B+S  
        'Lens thickness (Position of posterior lens surface) =E?!!EIq.  
        '************************************************************************* ;/Z9M"!u[  
    L-T3{I,3  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) (79y!&9p  
    1k *gbXb  
        ' Delete any z-shift(s) 1dy>a=W  
        count = 0 ?Q ]{P]  
        While GetOperationCount(eID)>count 6:v$g  
            GetOperation eID, count, op ymxYE#q  
            If op.Type="ShiftZ" Then "#a_--"k9  
                DeleteOperation eID,count 5D32d1A  
                count=count-1 Rt[zZv  
            End If lStYfO:<'v  
            count=count+1 "XEK oeG{  
        Wend `T gwa  
    ^" EsBt  
        'Set new z-shift zIyMq3  
        op.Type = "ShiftZ" 0 =2D 90  
        op.val1 = tlens MifPZQ  
        op.parent = parID dvAvG.;U  
        AddOperation eID, op ;;9W/m~]  
        Print "Set lens thickness = " & tlens %6vf~oG  
    Uo!#p'<w)p  
        '************************************************************************* &{Zt(%\ '  
        'Lens index of refraction YB^[HE\#y  
        '************************************************************************* f<`is+"  
        eID = FindMaterial( "Lens" ) Z*}5M4  
        GetModelMaterial eID, mat }T}9AQ}|  
    B~ o;,}  
        mat.Nd = nlens me+F0:L  
        SetModelMaterial eID, mat !8Rsz:7^-  
        Print "Set lens index of refraction = " & nlens nnV(MB4z1  
    X_}2xo|T  
        '************************************************************************* *<PQp   
        'Pupil diameter Jv|uI1V  
        '*************************************************************************  i,{'}B  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) "t-u=aDl-.  
    aP%2CP~_P  
        'Adjust pupil diameter (trimming volume inner hole) fI5]ed eS  
    )jh4HMvmC  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" o Q!56\R  
    J;K-Pv +  
        ' Adjust pupil location to just in front of the lens [/s^(2%  
        parID = FindFullName( "Geometry.Arizona Eye" ) E,F'k2yU  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) \B0,?_i  
        count = 0 iBq|]  
        While GetOperationCount(eID)>count RJo"yB$1e6  
            GetOperation eID, count, op r+}5;fQJ  
            If op.Type="ShiftZ" Then x*G-?Xza)  
                DeleteOperation eID,count eVobs2s  
                count=count-1 /.'tfy $  
            End If jIq@@8@o  
            count=count+1 H8V${&!ho  
        Wend *?zyF@K{%  
        op.Type = "ShiftZ" u}eqU%  
        op.val1 = taq-0.01 wF +9Iu  
        op.parent = parID FCC9Ht8U?  
        AddOperation eID, op Mpfdl65  
    U4J9b p|  
        Print "Set pupil diameter = " & pupilDiam 5Av bKT  
    eY)JuJ?  
        'Update AZ Eye subassembly Description 7IrbwAGZ3  
        eID = FindFullName( "Geometry.Arizona Eye" ) /B $9B  
        GetEntity eID, entity -R^OYgF  
        entity.Description = "Accommodation = " & A & "D" #}/YnVk  
        SetEntity eID, entity Xndgs}zz  
    4,8=0[eRG  
        Update r[ UZHX5+S  
        Print "DONE!" (vq0Gl  
         qUH02" z@9  
    End Sub +1Qa7 \  
    V &K:~[M  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: OJ (ho&((  
    jE /pba4R  
    Accommodation = 4 Diopters u!=9.3  
    Pupil Diameter = 4 mm 7oj ^(R,  
    Set aqueous humor thickness = 2.81 sD|P*ir  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 #J 1vN]g  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 LciSQ R!  
    Set lens thickness = 3.927 uSeRn@  
    Set lens index of refraction = 1.42672 SLzxF uV  
    Set pupil diameter = 4 j.? '*?P  
    DONE! 6qW/Td|g  
     
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