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    [分享]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: 2020-12-09
    简介 7*Gg#XQ>(  
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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。 R36A_  
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    模型 9iK%@k  
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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。 [@$t35t~  
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    Table 1. AZ眼睛模型的定义
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    在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. ZlL]AD@  
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    光源 io$fL_R=  
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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。 p<(b^{EX  
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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。 tNDv[IF  
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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。 x?G"58  
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    图2. 字母F光源的设定方法光 oMb@)7  
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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 K!|J/W  
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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。 PCiwQ4~  
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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。 {} Zqaf  
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    图5. 视网膜重点采样规格设定
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    脚本 Uizg.<.  
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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: te#Wv9x  
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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。 -h,?_d>  
    余下的脚本计算与屈光度有关的所有参数。 3|1v)E  
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    分析 2$yNryd  
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    屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 Dq9*il;'  
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    图7. 字母F在视网膜上颜色分析
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    脚本代码 PI$K+}E  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. G Y+li {  
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    Dim entity As T_ENTITY C;XhnqWv+l  
    Dim op As T_OPERATION cPPTGpqw  
    Dim mat As T_MODELMATERIAL +;N;r/d_i  
    Dim A As Double 'Em633  
    Dim pupilDiam As Double a3SBEkC  
    Dim eID As Long Yp;?Zq9  
    Dim parID As Long em?Q4t  
    Dim count As Integer } o@Dsx5  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double A\)~y{9bQ  
    Dim tlens As Double, nlens As Double `-w;/A"MJ  
    Dim curv As Double, conic As Double T8 >aU  
    Dim ok As Long T3h1eU  
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    Sub Main I"2*}v|  
    IQQ QB  
        '用户输入对话框 V&J'2Lq  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 ~Nn}FNe  
            TextBox 220,21,40,21,.TextBox1 'default: 0 @k||gQqIB  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 m,PiuR>  
            OKButton 40,91,90,21 aQglA  
            CancelButton 190,91,90,21 t-)d*|2n}o  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 &r1]A&  
            TextBox 220,49,40,21,.TextBox2 'default: 4 !p{CsR8c  
        End Dialog cng166}1A  
        Dim dlg As UserDialog b>L?0p$ej  
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        ok = Dialog (dlg) 5 N:IH@  
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        If ok=0 Then    'cancel button was pressed WlmkM?@  
            Print "Execution cancelled." 9i+`,r  
            End _~O*V&  
        End If ,#K{+1z:  
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        'Assign accommodation and pupil diameter & use defaults if field left empty ^JAp#?N^9  
        If dlg.TextBox1 = "" Then J(w 3A)(  
            A = 0           'Default accommodation 0?O$->t  
        Else 5+a5p C  
            A = CDbl(dlg.TextBox1) CO`?M,x>  
        End If I*H($ a  
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        If dlg.TextBox2 = "" Then t:*1* ;  
            pupilDiam = 4   'Default pupil diameter 8~ u/gM  
        Else IO<Ds#(  
            pupilDiam = CDbl(dlg.TextBox2) z"f+;1  
        End If h`f$]_c  
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        Print " " . Ky)Co  
        Print "Accommodation = " & A & " Diopters" "w3%BbIx  
        Print "Pupil Diameter = " & pupilDiam & " mm" D qHJ *x4  
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        ' Calculate new parameters with accommodation o2!wz8  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness a] 7nK+N  
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        Rant = 12.0 - 0.4*A                     'Radius of anterior lens U< <XeSp  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens bD. KD)5  
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        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens 06]"{2  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens UT0}Ce>e  
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        tlens = 3.767 + 0.04*A                  'Lens thickness Ako]34Rl,  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction Q hdG(`PY~  
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        'Adjust parameters to account for accommodation RoNE7|gF:  
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        '************************************************************************* Y=t? "E  
        'Aqueous thickness (Position of Lens) Yz#E0aTTA  
        '************************************************************************* d'iSvd.  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) k~)@D| ?  
        GetCustomElement eID, entity nf1O8FwRb  
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        parID = FindFullName( "Geometry.Arizona Eye" ) .q1y)l-^Z  
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        ' Delete any shift(s) in z MV]`[^xQ5  
        count = 0 U9jdb9 |  
        While GetOperationCount(eID)>count &hih p"  
            GetOperation eID, count, op 3^5h:OaT  
            If op.Type="ShiftZ" Then 6-FM<@H{  
                DeleteOperation eID,count KW$.Yy  
                count=count-1 8:[ l1d86  
            End If  \>||  
            count=count+1 y?U@F/^}N  
        Wend ae" o|Q  
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        'Set new shift in L7R!,  
        op.Type = "ShiftZ" sDAP'&  
        op.val1 = taq -fp/3-  
        op.parent = parID z/fSs tN  
        AddOperation eID, op \Foo:jON  
        Print "Set aqueous humor thickness = " & taq-0.55 d"L(eI}G  
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        '************************************************************************* S|af?IW  
        'Radius and conic constant of anterior lens X ]W)D S  
        '************************************************************************* g#`}HuPoE  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) AN3oh1xe:  
        GetConic eID, entity, curv, conic HJBGxy w  
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        SetConic eID, entity, 1/Rant, CCant 41P0)o  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant Kwi+}B!  
    ',/#|  
        '************************************************************************* Jg)( F|>o  
        'Radius and conic constant of posterior lens $0vWC#.A]  
        '************************************************************************* 'n=bQ"bQu  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) | P`b"x  
        GetConic eID, entity, curv, conic hQ(^;QcSu  
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        SetConic eID, entity, 1/Rpost, CCpost .)=*Yr M  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost \GQRpJ#h1  
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        '************************************************************************* QUaV;6 4  
        'Lens thickness (Position of posterior lens surface) EV-sEl8ki  
        '************************************************************************* fDqDU  
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        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) }a#T\6rY  
    8:)[.  
        ' Delete any z-shift(s) 9HEqB0|ZRu  
        count = 0 _`gkYu3R+  
        While GetOperationCount(eID)>count bRrS d:e  
            GetOperation eID, count, op  Na@;F{  
            If op.Type="ShiftZ" Then  JZ+6)R  
                DeleteOperation eID,count w>8kBQ?b  
                count=count-1 v9FR  
            End If [V qiF~o,  
            count=count+1 X)6G :cD  
        Wend ,|A6l?iV  
    o.w/ ?  
        'Set new z-shift 63J3NwFt  
        op.Type = "ShiftZ" ID`Ot{ y  
        op.val1 = tlens h  Ypj  
        op.parent = parID 0|J9Btbp  
        AddOperation eID, op ~JNE]mg  
        Print "Set lens thickness = " & tlens M$.bC0}T  
    ](v,2(}=  
        '************************************************************************* lNf);!}SM  
        'Lens index of refraction 7 )[2Ud8  
        '************************************************************************* H }]Zp  
        eID = FindMaterial( "Lens" ) S7WHOr9XMV  
        GetModelMaterial eID, mat }st~$JsV1  
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        mat.Nd = nlens mdyl;e{0  
        SetModelMaterial eID, mat >N2kWSa  
        Print "Set lens index of refraction = " & nlens Fx}v.A5  
    TB?'<hD:  
        '************************************************************************* X lItg\R  
        'Pupil diameter G_5{5Ar  
        '************************************************************************* H\n6t-l  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) vea{o 35!  
    8(l0\R,%+z  
        'Adjust pupil diameter (trimming volume inner hole) 38m9t'  
    8+dsTX`|S  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" 8{!|` b'f  
    fa,:d8  
        ' Adjust pupil location to just in front of the lens pbDr:kBL  
        parID = FindFullName( "Geometry.Arizona Eye" ) 5Za<]qxr  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) <}A6 )=T  
        count = 0 =,q/FY:  
        While GetOperationCount(eID)>count pfIK9>i  
            GetOperation eID, count, op ks("( nU  
            If op.Type="ShiftZ" Then )m3emMO2  
                DeleteOperation eID,count eY`9J4o'  
                count=count-1 A^+kA)8  
            End If sC[#R.eq  
            count=count+1 ?Fa$lE4  
        Wend W`JI/  
        op.Type = "ShiftZ" c^'bf_~-W  
        op.val1 = taq-0.01 Ye4 &4t  
        op.parent = parID .sQV0jF{  
        AddOperation eID, op ==?%]ZE8  
    x=a#|]ngG  
        Print "Set pupil diameter = " & pupilDiam c(vi,U-hC  
    Lg,ObVt!  
        'Update AZ Eye subassembly Description yK"\~t[@X:  
        eID = FindFullName( "Geometry.Arizona Eye" ) fKFD>u 0%  
        GetEntity eID, entity L gX2KU"  
        entity.Description = "Accommodation = " & A & "D" L\"wz scn  
        SetEntity eID, entity |oSt%l Q1  
    *oIIcE4g7  
        Update W{!5}Sh  
        Print "DONE!" S1)g\Lv  
         0vDvp`ie#4  
    End Sub RrrlfFms  
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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: % q!i  
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    Accommodation = 4 Diopters IcQpb F0  
    Pupil Diameter = 4 mm *P7n YjG  
    Set aqueous humor thickness = 2.81 n} !')r  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 {yT<22Fl  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 ?P9VdS1-  
    Set lens thickness = 3.927 J0e^v  
    Set lens index of refraction = 1.42672 DwFvM0O6\  
    Set pupil diameter = 4 N;P/$  
    DONE! _C1u}1hW#  
    ^-s7>F`jx  
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    QQ:2987619807 i=>`=. ~  
     
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