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    [分享]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: 2020-12-09
    简介 X(>aW*q  
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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。 woU3WS0  
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    模型 JNA_*3 '  
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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。 =mxj2>,&  
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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. L%.=Sb mS  
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    光源 {5T:7*J  
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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。 &Qv%~dvW  
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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。 N)YoWA>#bF  
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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。 \&s$?r  
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    图2. 字母F光源的设定方法光 \j vS`+  
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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 < 'r<MA<  
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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。 p/jAr+XM  
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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。 EJ Ta~  
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    图5. 视网膜重点采样规格设定
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    脚本 <kWNx.eci  
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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: qo}u(p Oj|  
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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。 k%({< ul  
    余下的脚本计算与屈光度有关的所有参数。 ;DI"9  
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    分析 9h^TOZK)  
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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。 }+ TA+;  
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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 Oat #%  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. M0uC0\' #P  
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    Dim entity As T_ENTITY R&1 xZFj  
    Dim op As T_OPERATION 1?#Wg>7'  
    Dim mat As T_MODELMATERIAL  7e@Bkq0)  
    Dim A As Double 'J#uD|9)  
    Dim pupilDiam As Double -<gQ>`(0  
    Dim eID As Long 3- 4jSN\  
    Dim parID As Long 5~SBZYI  
    Dim count As Integer O9MBQNwjA  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double 4 !M6 RL8{  
    Dim tlens As Double, nlens As Double )mRKIM}*W  
    Dim curv As Double, conic As Double Kl+4A}Uo  
    Dim ok As Long ;Q%3WD  
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    Sub Main \W})Z72  
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        '用户输入对话框 [ r=U-  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 yg@}j   
            TextBox 220,21,40,21,.TextBox1 'default: 0 <x1H:8A  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 c jBHczkY  
            OKButton 40,91,90,21 'd|E>8fejG  
            CancelButton 190,91,90,21 ?nx 1{2[  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 \b|Q`)TK  
            TextBox 220,49,40,21,.TextBox2 'default: 4 .1?7)k v  
        End Dialog {c:ef@'U  
        Dim dlg As UserDialog wi-{&  
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        ok = Dialog (dlg) e!*%U= [Q  
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        If ok=0 Then    'cancel button was pressed v@E/?\k"  
            Print "Execution cancelled." +\`t@Ht#  
            End ,V:RE y  
        End If "]{"4qV1=  
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        'Assign accommodation and pupil diameter & use defaults if field left empty 'QEQyJ0EB  
        If dlg.TextBox1 = "" Then vE+OL8V  
            A = 0           'Default accommodation \%:]o-+"I  
        Else  al:c2o  
            A = CDbl(dlg.TextBox1) f@= lK?Pfh  
        End If wPU<jAQyp  
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        If dlg.TextBox2 = "" Then  <E&"]  
            pupilDiam = 4   'Default pupil diameter ; +E@h=?  
        Else s_N]$3'[E  
            pupilDiam = CDbl(dlg.TextBox2) N?;5%pG <  
        End If auT$-Ki8  
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        Print " " A4uDuB;;ZQ  
        Print "Accommodation = " & A & " Diopters" k/ ZuFTN  
        Print "Pupil Diameter = " & pupilDiam & " mm" E$8 4c+  
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        ' Calculate new parameters with accommodation h,V#V1>Hu  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness &:` 7  
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        Rant = 12.0 - 0.4*A                     'Radius of anterior lens ?7cF_Zvve  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens ntSPHK|'  
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        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens ^J>jU`)CJ  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens [D H@>:"dd  
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        tlens = 3.767 + 0.04*A                  'Lens thickness 96Tc:#9i  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction PaEsz$mgy  
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        'Adjust parameters to account for accommodation e6f!6a+%  
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        '************************************************************************* 1!/ U#d"  
        'Aqueous thickness (Position of Lens) |400N +MK  
        '************************************************************************* +6!.)Ea=  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) d%9r"=/  
        GetCustomElement eID, entity X!n-nms  
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        parID = FindFullName( "Geometry.Arizona Eye" ) Wv"[,5 Z13  
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        ' Delete any shift(s) in z ,F J9C3  
        count = 0 (o\:rLZu  
        While GetOperationCount(eID)>count %rT XT  
            GetOperation eID, count, op HPT9B?^  
            If op.Type="ShiftZ" Then J680|\ER  
                DeleteOperation eID,count R9yK"  
                count=count-1 P$@5&/]  
            End If 0X)'8N  
            count=count+1 OZ_'& CZ  
        Wend Lvc*L6  
    / vge@bsE  
        'Set new shift in .l*]W!L]  
        op.Type = "ShiftZ" m \4jiR_o  
        op.val1 = taq )E^4\3 ^:  
        op.parent = parID yi7-[W}  
        AddOperation eID, op / GJ"##<  
        Print "Set aqueous humor thickness = " & taq-0.55 Vd|5JA}<"  
    ''wWw(2O  
        '************************************************************************* ?}B9=R$Pi  
        'Radius and conic constant of anterior lens @-;-DB]j  
        '************************************************************************* v^[Ny0cM  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) -^;G^Uq6=  
        GetConic eID, entity, curv, conic 5in6Y5ckj  
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        SetConic eID, entity, 1/Rant, CCant [/*85 4  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant slHlfWHq  
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        '************************************************************************* bsPwTp^  
        'Radius and conic constant of posterior lens qEf )TW(  
        '************************************************************************* 'mug,jM  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) C|W_j&S65  
        GetConic eID, entity, curv, conic .$4DK*  
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        SetConic eID, entity, 1/Rpost, CCpost TRAs5I%  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost d+ih]?  
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        '************************************************************************* =X>3C"]  
        'Lens thickness (Position of posterior lens surface) "~7| !9<  
        '************************************************************************* "`,PLC  
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        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) X&M4 c5Li  
    T[<llh'+  
        ' Delete any z-shift(s) .^dj B x  
        count = 0 QKZm<lUL  
        While GetOperationCount(eID)>count ssi{(}H/Jv  
            GetOperation eID, count, op ss,t[`AV{  
            If op.Type="ShiftZ" Then 0wZLkU_(  
                DeleteOperation eID,count >H5BY9]I  
                count=count-1 cPI #XPM=  
            End If @OFl^U0/  
            count=count+1 M5exo   
        Wend YIfPE{,  
    @w6^*Z_hQ  
        'Set new z-shift v2EM| Q xp  
        op.Type = "ShiftZ" u;& `_=p  
        op.val1 = tlens b\gl9"X  
        op.parent = parID %MbjKw  
        AddOperation eID, op 2{XQDOyA  
        Print "Set lens thickness = " & tlens +5?hkQCX1^  
    u/ y`M]17  
        '************************************************************************* YcRjbF,|6  
        'Lens index of refraction zi[bpa17W  
        '************************************************************************* Ej'a G   
        eID = FindMaterial( "Lens" ) A~nq4@uj  
        GetModelMaterial eID, mat V[+ Pb]  
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        mat.Nd = nlens pR 1v^m|  
        SetModelMaterial eID, mat YV{^S6M  
        Print "Set lens index of refraction = " & nlens @/anJrt  
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        '************************************************************************* fBD5K3  
        'Pupil diameter "@GopD  
        '************************************************************************* HQ@X"y n  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) A+Y>1-=JO  
    v]U[7 j  
        'Adjust pupil diameter (trimming volume inner hole) <LZvG IMl  
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        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" evg i\"  
    #hR}7K+@  
        ' Adjust pupil location to just in front of the lens }#EiL !Pv  
        parID = FindFullName( "Geometry.Arizona Eye" ) fgn*3 pg  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) e#kPf 'gL  
        count = 0 ./5|i*ow  
        While GetOperationCount(eID)>count X_Y$-I$qd  
            GetOperation eID, count, op &ks>.l\  
            If op.Type="ShiftZ" Then @%ChPjN  
                DeleteOperation eID,count U G^6I5  
                count=count-1 6=A ++H @  
            End If :$/lGIz  
            count=count+1 +Z)||MR"  
        Wend oc\rQ?  
        op.Type = "ShiftZ" $Xz9xzOR  
        op.val1 = taq-0.01 cQgmRHZ]  
        op.parent = parID 4d0PW#97.  
        AddOperation eID, op k[Uc _=  
    HewVwD<C  
        Print "Set pupil diameter = " & pupilDiam rm3 ~]  
    f} } Bb8  
        'Update AZ Eye subassembly Description H -.3r  
        eID = FindFullName( "Geometry.Arizona Eye" ) HOykmx6$  
        GetEntity eID, entity n8zUL1:R  
        entity.Description = "Accommodation = " & A & "D" "-v9V7KCM  
        SetEntity eID, entity 1/a*8vuGh  
     <MvFAuAT  
        Update Qf>dfJ^q  
        Print "DONE!" ! ~&X1,l1*  
         1mI)xDi9  
    End Sub :8Q6=K87  
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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: )_xM)mH  
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    Accommodation = 4 Diopters lmr {Ib2a  
    Pupil Diameter = 4 mm {v;Y}o-p  
    Set aqueous humor thickness = 2.81 {hg,F?p '  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 _e~EQ[,  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 O_F<VV*MFQ  
    Set lens thickness = 3.927 mqq~&nI  
    Set lens index of refraction = 1.42672 d+2I+O03  
    Set pupil diameter = 4 /Pg66H#RUf  
    DONE! KkAk(9Q/3  
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    QQ:2987619807 apGf@b  
     
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