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    [转载]FRED运用: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: 2016-02-24
    简介 Ij,Yuo  
    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。 wRi~Yb?  
    +gNX7xuY  
    模型 %IU4\ZY>  
    `D"1 gD}{A  
    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。 2%]t3\XW  
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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. m9I(TOw  
    8E-Ip>{>  
    光源 APOea  
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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。 |is 9  
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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。 `>y[wa>9r  
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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。 !,R  
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    图2. 字母F光源的设定方法光 F*. /D~K  
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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 c%b\CP\)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。 JkJhfFV  
    VAt>ji7c  
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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。 $Q#?`j  
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    图5. 视网膜重点采样规格设定
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    脚本 @_(nd57oSs  
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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: HoMQt3C  
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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。 Hc>([?P%t  
    余下的脚本计算与屈光度有关的所有参数。 E=A/4p6\$  
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    分析 z=u~]:.1O  
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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。 +Z )`inw  
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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  h=:*7>}  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. B>1M$3`E  
    ozT._ C  
    Dim entity As T_ENTITY XL=2wh  
    Dim op As T_OPERATION hcj{%^p  
    Dim mat As T_MODELMATERIAL twAw01".  
    Dim A As Double fQ^h{n  
    Dim pupilDiam As Double Ua}g  
    Dim eID As Long -=@K %\\~5  
    Dim parID As Long "sC$%D<oc  
    Dim count As Integer _P>1`IR  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double >3v0yh_3  
    Dim tlens As Double, nlens As Double OX'/?B((  
    Dim curv As Double, conic As Double k&n\ =tKN  
    Dim ok As Long y>?k<)nA{  
    ))c*_n  
    Sub Main SB5@\^  
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        '用户输入对话框 9c#L{in  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 "X\q%%P=?  
            TextBox 220,21,40,21,.TextBox1 'default: 0 bDxPgb7N=  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 \ro~-n+o  
            OKButton 40,91,90,21 cKaL K#~  
            CancelButton 190,91,90,21 7MR:X#2v>  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 &pa)Ee>  
            TextBox 220,49,40,21,.TextBox2 'default: 4 Lx9hq7<  
        End Dialog f:)]FHPB1  
        Dim dlg As UserDialog F^4*|g  
    9 ?EY.}~  
        ok = Dialog (dlg) |j\eBCnH3  
    =f/avGX  
        If ok=0 Then    'cancel button was pressed 1Al=v  
            Print "Execution cancelled." jJiCF,m  
            End vbW\~xf  
        End If :==UDVP  
    fo/(()  
        'Assign accommodation and pupil diameter & use defaults if field left empty Lqy|DJ%  
        If dlg.TextBox1 = "" Then &Z#Vw.7U  
            A = 0           'Default accommodation $u/8Rp  
        Else uOy\{5s8  
            A = CDbl(dlg.TextBox1) p?EEox  
        End If _p3WE9T  
     ."$=  
        If dlg.TextBox2 = "" Then T1Ln)CS?9  
            pupilDiam = 4   'Default pupil diameter DR#3njjEC  
        Else sIP6GWK$  
            pupilDiam = CDbl(dlg.TextBox2) 9 &?tQ"@x  
        End If +9& ulr  
    Xmw2$MCB  
        Print " " l%vhV&  
        Print "Accommodation = " & A & " Diopters" NpjsZcA  
        Print "Pupil Diameter = " & pupilDiam & " mm" R$~JhcX*l'  
    74</6T]^  
        ' Calculate new parameters with accommodation ]}*G[[ ^p  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness ^^U)WB  
    pJ<)intcbE  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens qCv}+d)  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens zXA= se0U  
    * S+7BdP  
        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens lW@:q04Z$  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens IWSEssP  
    &AkzSgP  
        tlens = 3.767 + 0.04*A                  'Lens thickness `0-m`>1>  
    Xlgz.j7XR  
        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction HvL9;^!  
    K1qY10F:_  
        'Adjust parameters to account for accommodation o F,R@f  
    "@):*3 4  
        '************************************************************************* I=Lj_UF4  
        'Aqueous thickness (Position of Lens) )xXrs^  
        '************************************************************************* G+%5V5GS  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) jw&}N6^G  
        GetCustomElement eID, entity }sm56}_  
    tF)k6*+  
        parID = FindFullName( "Geometry.Arizona Eye" ) uvAy#,  
    dh7)N}2  
        ' Delete any shift(s) in z n Y.Umj  
        count = 0 3vEjf  
        While GetOperationCount(eID)>count 5}(YMsUb  
            GetOperation eID, count, op iKCTYXN1(  
            If op.Type="ShiftZ" Then ff2.| 20  
                DeleteOperation eID,count omDi<-  
                count=count-1 0L 4]z'5  
            End If ^~hhdwu3a  
            count=count+1 x#!{5;V&K  
        Wend 7~k~S>sO  
    7xa@wa?!L  
        'Set new shift in %d~9at6-B  
        op.Type = "ShiftZ" *~MiL9m+?  
        op.val1 = taq A/W7 ;D  
        op.parent = parID 2v; 7ohK  
        AddOperation eID, op TPmZ/c^  
        Print "Set aqueous humor thickness = " & taq-0.55 LxYM "_1A;  
    k}owEBsn}  
        '************************************************************************* H;"N|pBy  
        'Radius and conic constant of anterior lens _yXeX  
        '************************************************************************* rSFXchD/  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) _S7M5{U_  
        GetConic eID, entity, curv, conic ;Bc<u[G  
    :j50]zLy{  
        SetConic eID, entity, 1/Rant, CCant Z~.]ZWj -  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant QK/+*hr;  
    %v6]>FNP'3  
        '************************************************************************* WSX@0A.&)  
        'Radius and conic constant of posterior lens g{f>j d  
        '************************************************************************* Hi 0df3t  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) ^_"q`71Dk  
        GetConic eID, entity, curv, conic `0i}}Zo  
    >ehWjL`8  
        SetConic eID, entity, 1/Rpost, CCpost s9Q)6=mE  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost X;[zfEB  
    28L'7  
        '************************************************************************* 113x9+w[  
        'Lens thickness (Position of posterior lens surface) \(v_",  
        '************************************************************************* bT6)(lm  
    ;ZW}47:BS6  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) 'V1 -iJj9  
    ClVpb ew  
        ' Delete any z-shift(s) X9BBnZ  
        count = 0 i{x0#6_Y  
        While GetOperationCount(eID)>count WoT z'  
            GetOperation eID, count, op XQoT},C  
            If op.Type="ShiftZ" Then UK9MWC5g9  
                DeleteOperation eID,count # ;KG6IE  
                count=count-1 &+|4(d1  
            End If ,0u0 '  
            count=count+1 !/lY q;$R  
        Wend %<o$ J~l~  
    .mU.eLM  
        'Set new z-shift ;. [$  
        op.Type = "ShiftZ" kIZdN D&  
        op.val1 = tlens 4oEq,o_  
        op.parent = parID ~m=%a  
        AddOperation eID, op !`Yi{}1_  
        Print "Set lens thickness = " & tlens ^+l\YB7pD  
    Pj5#G0i%  
        '************************************************************************* -{sv3|P>  
        'Lens index of refraction 5x'y{S<  
        '************************************************************************* g.sV$.T2K  
        eID = FindMaterial( "Lens" ) ,$(v#Tz  
        GetModelMaterial eID, mat 3B|-xq;]I  
    xW ZcSIH!  
        mat.Nd = nlens COJ!b  
        SetModelMaterial eID, mat 10C91/  
        Print "Set lens index of refraction = " & nlens gBS#Z.  
    ZUI\0qh+  
        '************************************************************************* sWCm[HpG  
        'Pupil diameter Q]'!FmXf  
        '************************************************************************* '{*>hj5.8  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) J7] 60H#P  
    \@t5S  
        'Adjust pupil diameter (trimming volume inner hole) <;Z3 5 {  
    *M<=K.*\G  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" DyTk<L  
    ZVR 9vw 28  
        ' Adjust pupil location to just in front of the lens c\ *OId1{;  
        parID = FindFullName( "Geometry.Arizona Eye" ) nAC#_\  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) JX<W[P>M  
        count = 0 @{a-IW 3  
        While GetOperationCount(eID)>count WQC6{^/4[1  
            GetOperation eID, count, op T1di$8  
            If op.Type="ShiftZ" Then oVsazYJ|?  
                DeleteOperation eID,count #E@i@'T  
                count=count-1 (`Mz.VN  
            End If A)\DPLAG  
            count=count+1 Bx!` UdRn  
        Wend ~,1q :Kue  
        op.Type = "ShiftZ" %$KO]   
        op.val1 = taq-0.01 Ax*~[$$~%  
        op.parent = parID YYh_lAS>  
        AddOperation eID, op L2$L.@  
    A:J{  
        Print "Set pupil diameter = " & pupilDiam Y--8v#t  
    bD-Em#>  
        'Update AZ Eye subassembly Description ?0%TE\I8  
        eID = FindFullName( "Geometry.Arizona Eye" ) 6+z]MT  
        GetEntity eID, entity GK%ovK  
        entity.Description = "Accommodation = " & A & "D" gQDK?aQX  
        SetEntity eID, entity \ \}/2#1=c  
    <BA&S _=4  
        Update I@M^Wu]wW  
        Print "DONE!" ~B\:  
         9iNns;^`q  
    End Sub OFbg]{ub?  
    X5<.%@Z  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: mnj A8@1  
    c3t8yifQ  
    Accommodation = 4 Diopters f~9Y1|6  
    Pupil Diameter = 4 mm IW_D$pq  
    Set aqueous humor thickness = 2.81 Rw 8o]  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 +eXfT*=u5  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 Acv{XnB  
    Set lens thickness = 3.927 rv%[?Ml  
    Set lens index of refraction = 1.42672 d~8~RT2m  
    Set pupil diameter = 4 ptQ (7N  
    DONE! 1iDo$]TEK  
    H12@12v  
    (文章来源:讯技光电)
     
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