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    [转载]FRED运用:Arizona眼睛模型 [复制链接]

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    离线xunjigd
     
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    只看楼主 倒序阅读 楼主  发表于: 2016-02-24
    简介 }U^9(  
    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。 `Z@wWs  
    Ix *KL=MG  
    模型 >_F& oA#  
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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。 P@5^`b|  
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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. } KMdfA  
    p19Zxh  
    光源 uq 6T|Zm  
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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。 4h~Oj y16&  
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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。 6&u,.  
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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?[mn^Bo5  
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    图2. 字母F光源的设定方法光 9J%>2AA  
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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 NA3yd^sr  
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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。 gai?LXM l}  
    !tb RqW6v  
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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。 6Nl$&jL  
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    图5. 视网膜重点采样规格设定
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    脚本 .i. |wY  
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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: =~arj  
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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。 T.|0;Eb  
    余下的脚本计算与屈光度有关的所有参数。 H?~u%b@   
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    分析 ~/#?OLj(T  
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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。  JA)gM  
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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 *K98z ?  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. FQ87[| S  
    /9yiMmr5W  
    Dim entity As T_ENTITY ~XxD[T5  
    Dim op As T_OPERATION 6d.m@T6~  
    Dim mat As T_MODELMATERIAL /Z% ?;  
    Dim A As Double :E^B~ OuL  
    Dim pupilDiam As Double .ClCP?HG  
    Dim eID As Long (Q4_3<G+  
    Dim parID As Long p/5!a~1'xN  
    Dim count As Integer B>]5/!_4  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double QbNv+Eu5  
    Dim tlens As Double, nlens As Double e7?W VV,  
    Dim curv As Double, conic As Double jK=*~I  
    Dim ok As Long =ddx/zN  
    "''<:K|  
    Sub Main %1<p1u'r?#  
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        '用户输入对话框 87Uv+((H  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 .;F+ QP0  
            TextBox 220,21,40,21,.TextBox1 'default: 0 \I'Zc]  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 X@Bpjg  
            OKButton 40,91,90,21 7E5Dz7  
            CancelButton 190,91,90,21 ~pA;j7*  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 %<"11;0tp  
            TextBox 220,49,40,21,.TextBox2 'default: 4 6^aYW#O<Ua  
        End Dialog {x4[Bx1  
        Dim dlg As UserDialog ^VIUXa  
    qN0#=X  
        ok = Dialog (dlg) P3yiJ|vP  
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        If ok=0 Then    'cancel button was pressed ygW@[^g  
            Print "Execution cancelled." PHK#b.B>a8  
            End .apX72's,  
        End If _Ry.Wth  
    uy9B8&Sr  
        'Assign accommodation and pupil diameter & use defaults if field left empty KVcZ@0[S  
        If dlg.TextBox1 = "" Then 0V#t ;`Q3  
            A = 0           'Default accommodation h]MVFn{  
        Else YKg[k:F  
            A = CDbl(dlg.TextBox1) ?|7+cz$g  
        End If :I'Ezxv|  
    ,1[??Y  
        If dlg.TextBox2 = "" Then XH *tChf<  
            pupilDiam = 4   'Default pupil diameter Yq?I>  
        Else by U\I5  
            pupilDiam = CDbl(dlg.TextBox2) UjDF  
        End If 5An0D V5  
    NslA/"*  
        Print " " ; BZM~ '  
        Print "Accommodation = " & A & " Diopters" L_|uB  
        Print "Pupil Diameter = " & pupilDiam & " mm" Tb= {g;0 @  
    U&n>fXTHn  
        ' Calculate new parameters with accommodation %7evPiNB  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness h*KHEg"+  
    yUW&Wgc=:  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens JZ% F  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens |3,V%>z  
    W #L"5pRg  
        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens U+"=  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens 4LEE /  
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        tlens = 3.767 + 0.04*A                  'Lens thickness YU=ZZEVi  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction M#cr*%  
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        'Adjust parameters to account for accommodation <gdgcvd  
    8>{W:?I  
        '************************************************************************* n6-Ic',;  
        'Aqueous thickness (Position of Lens) ' f$L  
        '************************************************************************* "x;k'{S  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) L{LU@.;1  
        GetCustomElement eID, entity ~J-|,ZMd  
    /HuYduGdP  
        parID = FindFullName( "Geometry.Arizona Eye" ) }#G"!/ZA0:  
    &U~r}=  
        ' Delete any shift(s) in z uT}TSwgp  
        count = 0 T#n1@FgC  
        While GetOperationCount(eID)>count vif8 {S  
            GetOperation eID, count, op kr(<Y|  
            If op.Type="ShiftZ" Then OJsd[l3xR  
                DeleteOperation eID,count PGPbpl&\t  
                count=count-1 `f+8WPJPZ  
            End If n<:d%&^n  
            count=count+1 Px#QZZ  
        Wend Yb\\ w<@g  
    e$EF% cKH  
        'Set new shift in EotwUT|  
        op.Type = "ShiftZ" @ 9 { %Kn  
        op.val1 = taq {?/8jCVd  
        op.parent = parID ~$4.Mf,u  
        AddOperation eID, op akhL\-d)al  
        Print "Set aqueous humor thickness = " & taq-0.55 zZ9<4"CIk  
    t\pK`DM-[  
        '************************************************************************* So=nB} b[?  
        'Radius and conic constant of anterior lens lW$&fuDHF  
        '************************************************************************* d{yIy'+0/  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) FGwnESCC  
        GetConic eID, entity, curv, conic #<wpSs  
    |jk-@ Z*  
        SetConic eID, entity, 1/Rant, CCant N<06sRg#  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant '}Wu3X  
    |[ Ie.&)  
        '************************************************************************* *NW QmC~  
        'Radius and conic constant of posterior lens ^.#X<8hr  
        '************************************************************************* @?Gw|bP  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) OwA~(  
        GetConic eID, entity, curv, conic vK6ibl0  
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        SetConic eID, entity, 1/Rpost, CCpost bEBBwv  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost *IWFeu7y  
    QtY hg$K3  
        '************************************************************************* [v0ri<sm  
        'Lens thickness (Position of posterior lens surface) 1BMB?I  
        '************************************************************************* PZuq'^p  
    * -KJh_  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) G#w^:UL  
    $_RWd#Q(  
        ' Delete any z-shift(s) F#1 Kk#t  
        count = 0 dK}WM46$   
        While GetOperationCount(eID)>count Pr5g6I'G   
            GetOperation eID, count, op Q1`<fD  
            If op.Type="ShiftZ" Then .?rbny  
                DeleteOperation eID,count 2.LJp}>  
                count=count-1 ]<kupaRQ  
            End If [eNkU">}  
            count=count+1 nn@^K6  
        Wend b96t0w!cs  
    6?V<BgCC  
        'Set new z-shift +M'aWlPg,  
        op.Type = "ShiftZ" 5: daa  
        op.val1 = tlens R:'Ou:Mh  
        op.parent = parID +@emX$cFV  
        AddOperation eID, op 'tb(J3ZP  
        Print "Set lens thickness = " & tlens 6<x~Mk'u)  
    khU6*`lQ  
        '************************************************************************* *Y85DEA  
        'Lens index of refraction >4n+PXRXX  
        '************************************************************************* iq"ob8.  
        eID = FindMaterial( "Lens" ) #l*a~^dhqC  
        GetModelMaterial eID, mat .dx 4,|6  
     0]AN;  
        mat.Nd = nlens 4q>7OB:e  
        SetModelMaterial eID, mat {=UFk-$=  
        Print "Set lens index of refraction = " & nlens fdlvn*H  
    G2.|fp_}pG  
        '************************************************************************* +|y*}bG  
        'Pupil diameter #D+7TWDwNt  
        '************************************************************************* 0A;" V'i  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) AV40:y\RW  
    }]AT _bh,  
        'Adjust pupil diameter (trimming volume inner hole) 'X =p7 d|'  
    P$Z}  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" {5^K Xj$B  
    nX0HT )}  
        ' Adjust pupil location to just in front of the lens !FTNmyM~F  
        parID = FindFullName( "Geometry.Arizona Eye" ) *GQDfs`m  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) .VT;H1#  
        count = 0 +R-h ,$\=7  
        While GetOperationCount(eID)>count u!Xb?:3uj  
            GetOperation eID, count, op ~C&*.ZR  
            If op.Type="ShiftZ" Then aaDP9FW9e  
                DeleteOperation eID,count '|A|vCRCG  
                count=count-1 Hd9XfU  
            End If ^ eQFg>  
            count=count+1 f-;$0mTQ  
        Wend I>PZYh'.T  
        op.Type = "ShiftZ" TZ[Zm  
        op.val1 = taq-0.01 1y J5l,q  
        op.parent = parID LL&ud_Y  
        AddOperation eID, op Cyq?5\a  
    BZK2$0  
        Print "Set pupil diameter = " & pupilDiam y$X(S\W  
    q:I$EpKf?Q  
        'Update AZ Eye subassembly Description .evbE O5  
        eID = FindFullName( "Geometry.Arizona Eye" ) ,P{mk%=9  
        GetEntity eID, entity :.k ZR;  
        entity.Description = "Accommodation = " & A & "D" j^flwk  
        SetEntity eID, entity E<>*(x/\e  
    S,)d(g3>  
        Update 62)d22  
        Print "DONE!" E@-ta):  
         OS-sk!  
    End Sub Z(j{F<\jS  
    1B|8ZmFJj  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: +TK3{5`!Ae  
    )p<WDiX1!e  
    Accommodation = 4 Diopters a5@z:i  
    Pupil Diameter = 4 mm F]UQuOR)  
    Set aqueous humor thickness = 2.81 3 iRA$C-p  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 As~(7?]r  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 +Y}V3(w9X  
    Set lens thickness = 3.927 ;}qhc l+  
    Set lens index of refraction = 1.42672 +k.%PO0np  
    Set pupil diameter = 4 :4:N f  
    DONE! ?+~cA^-3T  
    |?d#eQ9a  
    (文章来源:讯技光电)
     
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