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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 6<$.Z-,  
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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。 q4&! mDU  
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    模型 ES AX}uF  
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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。 5RFro^S9E  
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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. U|V,&RlbR  
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    光源 Mms|jF oQ  
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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。 jwa6`u  
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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。 \<*F#3U1  
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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。 n]`]gLF\i  
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    图2. 字母F光源的设定方法光 |+W{c`KL  
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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 "aF2: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。 dGm%If9P  
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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。 T`":Q1n  
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    图5. 视网膜重点采样规格设定
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    脚本 1F,U^O  
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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: :_6o|9J\t  
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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。 9 d a=q  
    余下的脚本计算与屈光度有关的所有参数。 QUn!& 55  
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    分析 pNOE KiJ  
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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。 jH9PD8D\  
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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 +bLP+]7oZ  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. "h_f- vP  
    f tTD-d  
    Dim entity As T_ENTITY eLPtdP5k  
    Dim op As T_OPERATION ygnZ9ikh<-  
    Dim mat As T_MODELMATERIAL ejZ-A?f-K  
    Dim A As Double dY&v(~&;]  
    Dim pupilDiam As Double ,.p 36ZLP  
    Dim eID As Long 5X)QW5A  
    Dim parID As Long l+F29_o#  
    Dim count As Integer -%MXt  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double M?sax+'  
    Dim tlens As Double, nlens As Double x)dLY.'|  
    Dim curv As Double, conic As Double 8QJr!#u  
    Dim ok As Long _lkVT']  
    .:}<4;Qz94  
    Sub Main &?bsBqpN  
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        '用户输入对话框 #~-Xt! I  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 *W\3cS  
            TextBox 220,21,40,21,.TextBox1 'default: 0 , 4xNW:!j  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 i*N2@Z[  
            OKButton 40,91,90,21 'uL$j=vB  
            CancelButton 190,91,90,21 @NA+Ma{N  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 |e@1@q(a[]  
            TextBox 220,49,40,21,.TextBox2 'default: 4 ,dQ*0XO!  
        End Dialog }C_g;7*  
        Dim dlg As UserDialog a%m )8N;C  
    ^-PYP:*  
        ok = Dialog (dlg) '6qH@r4Z<  
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        If ok=0 Then    'cancel button was pressed qzxWv5UH  
            Print "Execution cancelled." J[6/dM  
            End 4'#=_J  
        End If p1niS:}j  
    ?GNR ab  
        'Assign accommodation and pupil diameter & use defaults if field left empty @JhkUGG]p  
        If dlg.TextBox1 = "" Then YX,;z/Jw2  
            A = 0           'Default accommodation Z72%Bv  
        Else qpe9?`vVX  
            A = CDbl(dlg.TextBox1) Uz_ob9l<#H  
        End If y|O3*`&m  
    ;hq_}.  
        If dlg.TextBox2 = "" Then A}9^,C$#  
            pupilDiam = 4   'Default pupil diameter {ObY1Y`ea  
        Else [rcM32  
            pupilDiam = CDbl(dlg.TextBox2) !O!:=wq  
        End If s-Gd{=%/q  
    Cj~e` VRhk  
        Print " " 2(GY k  
        Print "Accommodation = " & A & " Diopters" `Z>=5:+G@2  
        Print "Pupil Diameter = " & pupilDiam & " mm" 4uO88[=  
    9'H:pb2  
        ' Calculate new parameters with accommodation B^TgEr  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness 0AWxU?$A4  
    N~v<8vJq`  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens IxWi>8  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens tE-bHu370  
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        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens ?H_@/?  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens /!Ag/SmS!9  
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        tlens = 3.767 + 0.04*A                  'Lens thickness 09vVCM;DY  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction 6bj77CoB  
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        'Adjust parameters to account for accommodation (kX:@9Pn  
    [Y`E"1f2  
        '************************************************************************* cy6YajOk7  
        'Aqueous thickness (Position of Lens)  rwSR  
        '************************************************************************* l=P)$O|=w  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) 3%9XJ]Qao  
        GetCustomElement eID, entity F# 9^RA)9  
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        parID = FindFullName( "Geometry.Arizona Eye" ) Xl<*Fn?  
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        ' Delete any shift(s) in z )Dhx6xM[a  
        count = 0 Qo3Enwap=  
        While GetOperationCount(eID)>count t 4M-;y  
            GetOperation eID, count, op (g[WZB3x  
            If op.Type="ShiftZ" Then <6.`(isph  
                DeleteOperation eID,count n|H8O3@  
                count=count-1 /: -&b#+  
            End If HI:1Voy  
            count=count+1 //r)dN^  
        Wend \ 6taC  
    (0y!{ (a  
        'Set new shift in 6j1C=O@S  
        op.Type = "ShiftZ" -0`n(`2  
        op.val1 = taq \goiW;b  
        op.parent = parID ]!"7k_  
        AddOperation eID, op "-:g.x*d  
        Print "Set aqueous humor thickness = " & taq-0.55 QaE!?R  
    #$U/*~m $  
        '************************************************************************* WyB^b-QmDh  
        'Radius and conic constant of anterior lens @6!Myez'  
        '************************************************************************* <ir]bQT  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) op-\|<i  
        GetConic eID, entity, curv, conic q l5&&e=-  
    b O}&i3.L;  
        SetConic eID, entity, 1/Rant, CCant hDg"?{  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant 'bH~KK5  
    Y0Tw:1a  
        '************************************************************************* _ A{F2M  
        'Radius and conic constant of posterior lens A ^hafBa  
        '************************************************************************* )iC@n8f7o  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) k=p[Mlic/  
        GetConic eID, entity, curv, conic b ~]v'|5[  
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        SetConic eID, entity, 1/Rpost, CCpost D8*6h)~  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost u^'X>n)oL#  
    h{\S'8  
        '************************************************************************* aS>cXJ;=  
        'Lens thickness (Position of posterior lens surface) >bmdu \j5R  
        '************************************************************************* i;qij[W.z  
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        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) 4kV$JV.l  
    Ue`Y>T7+!  
        ' Delete any z-shift(s) kbH@h2Ww  
        count = 0 N3KI6p6\  
        While GetOperationCount(eID)>count G|t0no\f  
            GetOperation eID, count, op ;5T}@4m|r  
            If op.Type="ShiftZ" Then nu|,wE!i  
                DeleteOperation eID,count .*+jD^Gr  
                count=count-1 N<KsQsy=  
            End If NTCFmdbs 6  
            count=count+1 `d/* sX?k  
        Wend !"E/6z2&(k  
    V+U89j1g  
        'Set new z-shift eQ[}ALIq  
        op.Type = "ShiftZ" ;/ |tU o$  
        op.val1 = tlens OYmutq  
        op.parent = parID sUiO~<Ozpk  
        AddOperation eID, op {7$jwk  
        Print "Set lens thickness = " & tlens g{>0Pa 1?C  
    k7sD"xR3  
        '************************************************************************* ,5T1QWn^f  
        'Lens index of refraction .>}Z3jUrf  
        '************************************************************************* y G mFi  
        eID = FindMaterial( "Lens" ) m' |wlI[lq  
        GetModelMaterial eID, mat `q  | )_  
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        mat.Nd = nlens MlS5/9m@^  
        SetModelMaterial eID, mat N<Ym&$xR  
        Print "Set lens index of refraction = " & nlens W|sU[dxZ  
    4Xwb`?}-  
        '************************************************************************* "HH<5  M  
        'Pupil diameter t -}IKrbv  
        '************************************************************************* ?Ycl!0m  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) oxI?7dy5  
    i ;Kax4k  
        'Adjust pupil diameter (trimming volume inner hole) (KPD`l8.  
    GZuWA a  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" JIYzk]Tj  
    |-cXb.M[  
        ' Adjust pupil location to just in front of the lens mxpw4  
        parID = FindFullName( "Geometry.Arizona Eye" ) 7@k3-?q  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) !4Sd^"  
        count = 0 H,7!"!?@N  
        While GetOperationCount(eID)>count s bR*[2  
            GetOperation eID, count, op  #3RElI  
            If op.Type="ShiftZ" Then udc9KuR@  
                DeleteOperation eID,count )7#3n(_np  
                count=count-1 '0o^T 7C  
            End If cT&lkS  
            count=count+1 }1CvbB%,A  
        Wend 0 xvSi9  
        op.Type = "ShiftZ" xwHE,ykE  
        op.val1 = taq-0.01 @~5Fcfmm  
        op.parent = parID $S2 /*  
        AddOperation eID, op #i*PwgC%_  
    |942#rM  
        Print "Set pupil diameter = " & pupilDiam -Edi"B4K  
    /L|x3RHs  
        'Update AZ Eye subassembly Description -r~9'aEs  
        eID = FindFullName( "Geometry.Arizona Eye" ) <F-IF7>a  
        GetEntity eID, entity qwn EVjf  
        entity.Description = "Accommodation = " & A & "D" [a~@6*=  
        SetEntity eID, entity 4N3O<)C)@  
    m*i,|{UZ  
        Update &t!f dti  
        Print "DONE!" RjrQDh|((  
         $GhL-sqm  
    End Sub @$%.iQ7A;  
    >f1fvv6  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: vD/l`Ib:  
    C58B(Ndo  
    Accommodation = 4 Diopters fwUF5Y  
    Pupil Diameter = 4 mm ^R(=4%8%"  
    Set aqueous humor thickness = 2.81 z?UEn#E2  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 _c:th{*  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 ;/IX w>O(/  
    Set lens thickness = 3.927 G<`(d@g  
    Set lens index of refraction = 1.42672 X_Pbbx_j  
    Set pupil diameter = 4 IEkbVIA(  
    DONE! G$CSZrP.  
     
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