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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 6FB 0g8  
    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。 qezWfR`  
    A({czHLhN5  
    模型 A0{xt*g   
    zj`c%9N+  
    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。 n8,%<!F^  
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    Table 1. AZ眼睛模型的定义
    7<j!qWm0  
    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. lx`?n<-X  
    K"!rj.Da  
    光源 aq?bI:>8  
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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。 7P{= Pv+  
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    图1. 光源和提示信息使用
    3qWrSziD  
    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。 j7P49{  
    uX7L1~s-  
    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。 Oc)n,D)0  
    a ,mgM&yD  
    图2. 字母F光源的设定方法光 7?fgcb3  
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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 ?'V78N sA  
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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。 @fd<  
    Z!v,;MW  
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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。  <$nPGz)}  
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    图5. 视网膜重点采样规格设定
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    脚本 Q4mtfpiDx  
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    内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: KDN#CU  
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    图6. 用户对话框的创建与编辑
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    图7. 用户对话框编辑器
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    如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 ~D5 -G?%$"  
    余下的脚本计算与屈光度有关的所有参数。 Gb^63.}  
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    分析 as:=QMV  
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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。 X0*+]tRg  
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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 i?_Q@uA~<:  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. 8mr fs%_  
    i7H([b<_m  
    Dim entity As T_ENTITY +HE,Q6-A  
    Dim op As T_OPERATION CX#d  
    Dim mat As T_MODELMATERIAL puOMtCI  
    Dim A As Double MKtI 3vi?  
    Dim pupilDiam As Double 8z93ETv7`  
    Dim eID As Long oX6C d:c-  
    Dim parID As Long pll5m7[  
    Dim count As Integer lR?1,yLp  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double @.e4~qz\  
    Dim tlens As Double, nlens As Double  o]0E  
    Dim curv As Double, conic As Double <_/etw86Z  
    Dim ok As Long GUQ3XF\  
    _~Lu%   
    Sub Main ,$]m1|t@z  
    ;$eY#ypx  
        '用户输入对话框 T #E{d  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 [<+T@"y  
            TextBox 220,21,40,21,.TextBox1 'default: 0 ~U<j_j)z4.  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 Fmn_fW6  
            OKButton 40,91,90,21 UHJro9  
            CancelButton 190,91,90,21 2Jo|P A` 9  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 Ez <YD  
            TextBox 220,49,40,21,.TextBox2 'default: 4 ''2:ZXX  
        End Dialog i% 0 qN  
        Dim dlg As UserDialog #~Kno@  
    5P*jGOg.  
        ok = Dialog (dlg) YloE4PAY7  
    aeMj4|{\  
        If ok=0 Then    'cancel button was pressed P'}EZ'  
            Print "Execution cancelled." ZrYRLg  
            End uToi4]w"y  
        End If *h?*RUQ  
    g9GPy U  
        'Assign accommodation and pupil diameter & use defaults if field left empty ddYb=L+_b  
        If dlg.TextBox1 = "" Then 1% @i4  
            A = 0           'Default accommodation :t;\`gQoS  
        Else Y}vV.q  
            A = CDbl(dlg.TextBox1) =)#XZ[#F  
        End If kH06Cb  
    j;Z hI y  
        If dlg.TextBox2 = "" Then %PVu>^  
            pupilDiam = 4   'Default pupil diameter 1\TkI=N3  
        Else HELTL$j,b  
            pupilDiam = CDbl(dlg.TextBox2) @$b7 eu  
        End If {s@&3i?ZiC  
    $jC+oYXj  
        Print " " dn5t7D^ x  
        Print "Accommodation = " & A & " Diopters" hzV%QDUpe  
        Print "Pupil Diameter = " & pupilDiam & " mm" sI)jqHZG  
    &Ai +t2  
        ' Calculate new parameters with accommodation @ /e{-Q  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness .j!:Hp(z}  
    _=w=!U&W  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens Dmtsu2o  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens RZvRV?<bR  
    Vg7+G( ,  
        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens S{cK~sZj  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens qE^u{S4Z@  
    <SRSJJR|(  
        tlens = 3.767 + 0.04*A                  'Lens thickness wh]v{Fi'  
    <t*3w  
        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction s 4 Uk5<  
    T.!.3B$@]  
        'Adjust parameters to account for accommodation c*8k _o,  
    )q7!CG'oY  
        '************************************************************************* %F*h}i  
        'Aqueous thickness (Position of Lens) B3u:D"t  
        '************************************************************************* n%dh|j2u  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) e<{Ani0  
        GetCustomElement eID, entity LZPLz@=&]  
    g*U[?I"sC  
        parID = FindFullName( "Geometry.Arizona Eye" ) EU7mP MxJ  
    ~:A=o?V2  
        ' Delete any shift(s) in z XQ k ,xQ  
        count = 0 F-?s8RD  
        While GetOperationCount(eID)>count CJLfpvV  
            GetOperation eID, count, op _'r&'s;<z  
            If op.Type="ShiftZ" Then Daf;; w  
                DeleteOperation eID,count CwzDkr&QC_  
                count=count-1 5DeAH ;  
            End If "CQ:<$|$  
            count=count+1 _nW#Cl~  
        Wend ID=^497  
    gDsb~>rb|  
        'Set new shift in cr{f*U6`  
        op.Type = "ShiftZ" BG20R=p  
        op.val1 = taq 9<!Ie^o?  
        op.parent = parID i\P)P!  
        AddOperation eID, op 4q^'MZm1  
        Print "Set aqueous humor thickness = " & taq-0.55 /`B:F5r  
    LT '2446  
        '************************************************************************* , rc %#eF  
        'Radius and conic constant of anterior lens ON3~!Q)  
        '************************************************************************* G C3G=DTt  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) .{#J2}+[_}  
        GetConic eID, entity, curv, conic &qFy$`"  
    Oc?]L&ap  
        SetConic eID, entity, 1/Rant, CCant +,Z Q( ZW  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant ^{fA:N=  
    OM7EmMa;  
        '************************************************************************* LZ*ZXFIg  
        'Radius and conic constant of posterior lens ER$qL"H U  
        '************************************************************************* GZqy.AE,  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) 6<C|O-  
        GetConic eID, entity, curv, conic 9r hl2E  
    KdtQJ:_`k  
        SetConic eID, entity, 1/Rpost, CCpost -]~vE fq+T  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost >a2i%j/T  
    L,wEUI  
        '************************************************************************* !@kwHJkv  
        'Lens thickness (Position of posterior lens surface) iwnFCZVS  
        '************************************************************************* 3N5b3F  
    -eoXaP{[  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) qm=N@@R&  
    p!3!&{  
        ' Delete any z-shift(s) s:\FlQ0  
        count = 0 ?T <2Cl'C  
        While GetOperationCount(eID)>count BO)Q$*G~JD  
            GetOperation eID, count, op m'.y,@^B  
            If op.Type="ShiftZ" Then #Rcb iV*M  
                DeleteOperation eID,count _"0Bg3Y  
                count=count-1 LL^WeD_Y  
            End If h#rziZ(  
            count=count+1 DNl '}K1W  
        Wend 6#/v:;bF  
    #Z]l4d3{T  
        'Set new z-shift g/6>>p`J  
        op.Type = "ShiftZ" xF8^#J6>  
        op.val1 = tlens gG6j>%y  
        op.parent = parID 3=~0m  
        AddOperation eID, op i@p0Jnh|  
        Print "Set lens thickness = " & tlens iSg^np  
    (^).$g5Hg  
        '************************************************************************* )4BLm  
        'Lens index of refraction '6zD`Q  
        '************************************************************************* TY6Q ;BTU  
        eID = FindMaterial( "Lens" ) #?EmC]N7  
        GetModelMaterial eID, mat &;]KntxB  
    SV0h'd(b  
        mat.Nd = nlens w5uOkz #  
        SetModelMaterial eID, mat RO+N>Wkt  
        Print "Set lens index of refraction = " & nlens %RS8zN  
    a08`h.dyN  
        '************************************************************************* qmx4hs8sh  
        'Pupil diameter FH}2wO~_  
        '************************************************************************* hFp\,QSx  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) 7dbGUbT  
    !m<v@SmL\  
        'Adjust pupil diameter (trimming volume inner hole) JcDcYB  
    Oq3]ZUVa  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" Q=~ *oYR  
    :7[20n}w  
        ' Adjust pupil location to just in front of the lens 2jiH&'@  
        parID = FindFullName( "Geometry.Arizona Eye" ) qzt.k^'-^  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) 84eqT[I'  
        count = 0 [DzZ:8  
        While GetOperationCount(eID)>count u?B9zt%$-m  
            GetOperation eID, count, op +<1MY'>y  
            If op.Type="ShiftZ" Then 1 ms(03dp  
                DeleteOperation eID,count z[~ph/^  
                count=count-1 k zuI<DW  
            End If vQ",rP%  
            count=count+1 vle`#c.  
        Wend |s$w i>7l  
        op.Type = "ShiftZ" kt;uB X3  
        op.val1 = taq-0.01 bs9X4n5  
        op.parent = parID 6( 0ME$  
        AddOperation eID, op y8arFG  
    |%l&H/  
        Print "Set pupil diameter = " & pupilDiam "F+m}GJ=a  
    d,d ohi  
        'Update AZ Eye subassembly Description 2M o oqJp  
        eID = FindFullName( "Geometry.Arizona Eye" ) [ qx[ 0  
        GetEntity eID, entity )~[rb<:)b  
        entity.Description = "Accommodation = " & A & "D" QRKr2:o{  
        SetEntity eID, entity vnS;T+NZSC  
    EYXHxo  
        Update NwbX]pDT  
        Print "DONE!" > t~2  
         QopA'm  
    End Sub f5o##ia7:  
    &A!?:?3%O  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: V krjs0  
    G~nQR qv  
    Accommodation = 4 Diopters *P0sl( &  
    Pupil Diameter = 4 mm fIwG9cR  
    Set aqueous humor thickness = 2.81 jH~VjE>  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 MlH0  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 wMvAm%}+  
    Set lens thickness = 3.927 V3v/h V:  
    Set lens index of refraction = 1.42672 >%1mx\y^  
    Set pupil diameter = 4 'M!*Ge  
    DONE! q)rxv7Iu\  
    6TkV+\  
    (文章来源:讯技光电)
     
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