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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 42>Ge>#F  
    &3J@BMYp  
    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。 P{Q=mEQ  
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    模型 UT}i0I9  
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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。 `9k0Gd  
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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. /b|0PMX  
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    光源 k+1|I)z  
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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。 )Ud-}* g  
    $%VuSrZ&  
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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。 1:Si,d,wh  
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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。 %LYnxo7#C  
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    图2. 字母F光源的设定方法光 @29U@T  
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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 a~8[<Fomj  
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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。 NH_<q"gT  
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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。 3]?#he  
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    图5. 视网膜重点采样规格设定
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    脚本 T6ENtp  
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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: 3P;>XGCxZ  
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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。 }`+B=h-dW  
    余下的脚本计算与屈光度有关的所有参数。 D-N8<:cA  
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    分析 ^eoLAL  
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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。 IUtx!.]4  
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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 p<:!)kt  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. Qyy.IPTP  
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    Dim entity As T_ENTITY awz;z?~  
    Dim op As T_OPERATION "+unS)M;Y  
    Dim mat As T_MODELMATERIAL 6d+p7x  
    Dim A As Double $v Z$'(  
    Dim pupilDiam As Double O`vTnrY  
    Dim eID As Long *YlV-C<}W"  
    Dim parID As Long a@R]X5[O  
    Dim count As Integer Uo2GK3nT  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double ^i:B+ rl  
    Dim tlens As Double, nlens As Double h>Hb `G<  
    Dim curv As Double, conic As Double ~RWktv  
    Dim ok As Long R i^[i}  
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    Sub Main @]ao"ui@/  
    /q5:p`4{J  
        '用户输入对话框 o;?/HE%,[  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 QD%L0;j  
            TextBox 220,21,40,21,.TextBox1 'default: 0 ~}<DG1!  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 ZI=v.wa  
            OKButton 40,91,90,21 T*KMksjxm`  
            CancelButton 190,91,90,21 @lvyDu6e  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 PiA0]>  
            TextBox 220,49,40,21,.TextBox2 'default: 4 jRL<JZ1N  
        End Dialog )&!&AlLn  
        Dim dlg As UserDialog :^(>YAyHj^  
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        ok = Dialog (dlg) QV\eMuNy  
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        If ok=0 Then    'cancel button was pressed NQ6sGL  
            Print "Execution cancelled." NC38fiH_N  
            End >;[*!<pfK5  
        End If tToTxf~  
    @9"J|}  
        'Assign accommodation and pupil diameter & use defaults if field left empty ~ yX2\i"  
        If dlg.TextBox1 = "" Then ]9 @F~)  
            A = 0           'Default accommodation w4gg@aO  
        Else !/wtYI-`  
            A = CDbl(dlg.TextBox1) IC7M$  
        End If k1!@^A  
    %Z1N;g0  
        If dlg.TextBox2 = "" Then ,2W8=ON  
            pupilDiam = 4   'Default pupil diameter MNV % =G  
        Else Gn&4V}F  
            pupilDiam = CDbl(dlg.TextBox2) hodgDrmO/  
        End If X*\ J_  
    }+sT4'Ah>  
        Print " " )vSRHE  
        Print "Accommodation = " & A & " Diopters" S;- LIv  
        Print "Pupil Diameter = " & pupilDiam & " mm" L+i(TM=  
    >:b Q  
        ' Calculate new parameters with accommodation y~\oTJb  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness LSRk7'0  
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        Rant = 12.0 - 0.4*A                     'Radius of anterior lens *I0T{~  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens g pOC`=  
    1aTB%F  
        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens %QP0  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens `V04\05  
    [)TRTxFb  
        tlens = 3.767 + 0.04*A                  'Lens thickness j{Q9{}<e  
    bR)(H%I  
        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction 0ik7v<:  
    t)}scf&^x  
        'Adjust parameters to account for accommodation ^t#&@-'(d  
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        '************************************************************************* l~$+,U&XNe  
        'Aqueous thickness (Position of Lens) %B.yW`,X  
        '************************************************************************* J G{3EWXR  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) _BP&n  
        GetCustomElement eID, entity #n8IZ3+  
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        parID = FindFullName( "Geometry.Arizona Eye" ) ;67x0)kn  
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        ' Delete any shift(s) in z 73\JwOn~  
        count = 0 [wzb<"kW  
        While GetOperationCount(eID)>count k5kxQhPf  
            GetOperation eID, count, op +O?KNZ  
            If op.Type="ShiftZ" Then ]&Rx@&e*  
                DeleteOperation eID,count ys kO  
                count=count-1 OD!& .%  
            End If ?BZPwGMs  
            count=count+1 ybKWOp:O  
        Wend  UWo]s.  
    ][p>Y>:b-  
        'Set new shift in :BV6y|J9O^  
        op.Type = "ShiftZ" $arK(  
        op.val1 = taq m()RU"WY  
        op.parent = parID !*B'?|a<\  
        AddOperation eID, op 9~/J35  
        Print "Set aqueous humor thickness = " & taq-0.55 ia+oX~W!VR  
    ]z/8KL  
        '************************************************************************* '$ t  
        'Radius and conic constant of anterior lens LAS'u "c|  
        '************************************************************************* fO[+LR 'ax  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) hJpxf,?'K  
        GetConic eID, entity, curv, conic Eu@huN*/  
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        SetConic eID, entity, 1/Rant, CCant "4{LN}`  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant 2Tp1n8FV  
    ?Yth0O6?sb  
        '************************************************************************* Ay0U=#XP  
        'Radius and conic constant of posterior lens ,N]H dR  
        '************************************************************************* r w2arx  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) sl`s_$J  
        GetConic eID, entity, curv, conic NRIG1v>  
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        SetConic eID, entity, 1/Rpost, CCpost l:,'j@%  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost VKG&Y_7N  
    _C*fs< #  
        '************************************************************************* Enn"hdI  
        'Lens thickness (Position of posterior lens surface) /)}q Xx&  
        '************************************************************************* E%,^Yvh/  
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        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) xg;+<iW  
    j2StXq3  
        ' Delete any z-shift(s) f=r<nb'H  
        count = 0 %Q fO8P  
        While GetOperationCount(eID)>count Y4`}y-'d  
            GetOperation eID, count, op YA_c N5p/@  
            If op.Type="ShiftZ" Then koZ*+VP=  
                DeleteOperation eID,count bB1UZ O  
                count=count-1 d\|?-hY`[  
            End If )f[ B6Y  
            count=count+1 0uOkMuy<  
        Wend "!ug_'VW  
    :~tAUy":_*  
        'Set new z-shift AQ,' 6F9  
        op.Type = "ShiftZ" |@ s,XS  
        op.val1 = tlens K}buH\yco  
        op.parent = parID ^6MU 0Q2  
        AddOperation eID, op !Sh&3uy_qN  
        Print "Set lens thickness = " & tlens 4C61GB?Vy  
    ~obqG!2m  
        '************************************************************************* |y!=J$ $_H  
        'Lens index of refraction ZojI R\F^  
        '************************************************************************* [B#R94  
        eID = FindMaterial( "Lens" ) 93("oBd[s(  
        GetModelMaterial eID, mat \IV1j)I"u  
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        mat.Nd = nlens 8 D3OOab  
        SetModelMaterial eID, mat j,lT>/  
        Print "Set lens index of refraction = " & nlens .f%fHj  
    F4}]b(L  
        '************************************************************************* =jOv] /  
        'Pupil diameter RKHyw 08  
        '************************************************************************* Z'`g J&6n  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) Pq;U &,  
    \E72L5nJW  
        'Adjust pupil diameter (trimming volume inner hole) }Gz~nf%  
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        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" |:q=T ~x  
    e6R}0w~G  
        ' Adjust pupil location to just in front of the lens (C-{B[Y  
        parID = FindFullName( "Geometry.Arizona Eye" ) )t0$qd ]  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) *4Thd:7 `  
        count = 0 mZtCL  
        While GetOperationCount(eID)>count z;{iM/Xe  
            GetOperation eID, count, op ); !eow  
            If op.Type="ShiftZ" Then s C%&cRQD  
                DeleteOperation eID,count `w#Oih!6A|  
                count=count-1 d6} r#\  
            End If TJ_$vI  
            count=count+1 0=@?ob7  
        Wend `<`` 8  
        op.Type = "ShiftZ" E4`N-3  
        op.val1 = taq-0.01 "CSsCA$/  
        op.parent = parID ddJQC|xR}  
        AddOperation eID, op !;&p"E|b#  
    D.B.7-_8  
        Print "Set pupil diameter = " & pupilDiam we~[] \  
    kO.%9wFbz  
        'Update AZ Eye subassembly Description -Br Mp%C  
        eID = FindFullName( "Geometry.Arizona Eye" ) :~b3^xhc^  
        GetEntity eID, entity Xb:;</  
        entity.Description = "Accommodation = " & A & "D" m ,* QP*  
        SetEntity eID, entity ?*[N_'2W+  
    AF;)#T<  
        Update 5,3'=mA6  
        Print "DONE!" >:AARx%  
         |{BIHgMh  
    End Sub 8 ##-EN;ag  
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    如果屈光度是4,光瞳直径是4,则会输出如下数据: +X#vVD3"  
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    Accommodation = 4 Diopters oX#Q<2z*  
    Pupil Diameter = 4 mm 3 R=,1<  
    Set aqueous humor thickness = 2.81 ]e"=$2d$  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 nOt&pq7  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 oRm L {UDZ  
    Set lens thickness = 3.927 K SbKEA  
    Set lens index of refraction = 1.42672 *]ly0nP  
    Set pupil diameter = 4 YZLkL26[  
    DONE! %q/62f7?  
     
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