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    [技术]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: 2021-10-22
    简介 )N7Y^CN~  
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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。 mt,OniU=Q  
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    模型 X!9 B2w  
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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。 b[o"7^H  
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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. q,93nhs "  
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    光源 ,*7 (%k^`  
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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。 ?~hHGf\^b6  
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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。 +yk24 ` >  
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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。 ykV 5  
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    图2. 字母F光源的设定方法光 qI#;j%V  
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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  SL#0kc0x  
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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。 = kJ,%\E`  
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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。 Yu)NO\3&  
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    图5. 视网膜重点采样规格设定
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    脚本 wt!nMQ  
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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: 5=v}W:^v.  
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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。 !F A]  
    余下的脚本计算与屈光度有关的所有参数。 YQHw1  
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    分析 Z4S!NDMm~  
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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。 ++6`sMJ  
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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 3RYpJAH  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. oU056  
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    Dim entity As T_ENTITY H`1{_  
    Dim op As T_OPERATION V@zg}C|e  
    Dim mat As T_MODELMATERIAL ^l9N48]|?  
    Dim A As Double _ba>19csq%  
    Dim pupilDiam As Double fVF2-Rh=  
    Dim eID As Long _jLL_GD  
    Dim parID As Long 6$kqaS##  
    Dim count As Integer #gRM i)(F  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double `Aw^H!  
    Dim tlens As Double, nlens As Double GFeQ%l`7F  
    Dim curv As Double, conic As Double -:|?h{q?u  
    Dim ok As Long $*e2YQdLo  
    ; <&*rnH  
    Sub Main iII=;:p  
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        '用户输入对话框 9^oKtkoDZ  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 @;*Ksy@1O  
            TextBox 220,21,40,21,.TextBox1 'default: 0 LAB=Vp1y3[  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 #Y*X<L  
            OKButton 40,91,90,21 {:6r;TB  
            CancelButton 190,91,90,21 i,>khc  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 j[`j9mM8  
            TextBox 220,49,40,21,.TextBox2 'default: 4 7gf05Z'=  
        End Dialog %zG;Q@  
        Dim dlg As UserDialog hs^zTZ_  
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        ok = Dialog (dlg) ]^h]t~  
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        If ok=0 Then    'cancel button was pressed Xe$I7iKD  
            Print "Execution cancelled." > V-A;S:  
            End zk$FkbX  
        End If 1oR7iD^  
    U#lCj0iUt,  
        'Assign accommodation and pupil diameter & use defaults if field left empty [k.tWA,&  
        If dlg.TextBox1 = "" Then |iakz|])  
            A = 0           'Default accommodation [xSF6  
        Else ) i;1*jK  
            A = CDbl(dlg.TextBox1) u+Y\6~=+  
        End If q]T1dz?  
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        If dlg.TextBox2 = "" Then nV"~-On  
            pupilDiam = 4   'Default pupil diameter A,JmX  
        Else [w0QZyUn  
            pupilDiam = CDbl(dlg.TextBox2) '))0Lh l  
        End If k.uH~S_  
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        Print " " n&$j0k  
        Print "Accommodation = " & A & " Diopters" Ro\8ZXUQa  
        Print "Pupil Diameter = " & pupilDiam & " mm" o} J&E{Tk  
    , ]bhyp  
        ' Calculate new parameters with accommodation '~5LY!H(pT  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness T1ut"Zu  
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        Rant = 12.0 - 0.4*A                     'Radius of anterior lens &v56#lG  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens '*K:  lx  
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        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens Oxm>c[R  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens ``,fodA8  
    }JF13beU  
        tlens = 3.767 + 0.04*A                  'Lens thickness ]OM"ZG/^  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction SW H2  
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        'Adjust parameters to account for accommodation k Z?=AXu  
    p2#)A"  
        '************************************************************************* H=<S 9M  
        'Aqueous thickness (Position of Lens) :0Bq^G"ge  
        '************************************************************************* PY{ G [  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) m4**~xfC  
        GetCustomElement eID, entity \d 6C%S!  
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        parID = FindFullName( "Geometry.Arizona Eye" ) I4'5P}1yp  
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        ' Delete any shift(s) in z qyZ" %Kz  
        count = 0 ( Z619w  
        While GetOperationCount(eID)>count FEW14 U'O  
            GetOperation eID, count, op qU+t/C.  
            If op.Type="ShiftZ" Then 1#C4;3i,  
                DeleteOperation eID,count ,kiv>{  
                count=count-1 (uXL^oja  
            End If YJ^] u}  
            count=count+1 gR&Q3jlIV  
        Wend 'H3^e}   
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        'Set new shift in 0@[$lv;OS  
        op.Type = "ShiftZ" 6^V=?~a&z  
        op.val1 = taq eX?OYDDC0j  
        op.parent = parID \MA+f~)9  
        AddOperation eID, op I& 2c&yO  
        Print "Set aqueous humor thickness = " & taq-0.55 !02`t4Zc-  
    p#&h=,W}  
        '************************************************************************* ^&B@Uw5{  
        'Radius and conic constant of anterior lens ojafy}  
        '************************************************************************* Ghu#XJB?  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) V_R@o3kv;  
        GetConic eID, entity, curv, conic 44gPCW,u  
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        SetConic eID, entity, 1/Rant, CCant 35A|BD) q  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant  .t{MIC  
    |WQBDB`W  
        '************************************************************************* }{,^@xdyW  
        'Radius and conic constant of posterior lens ; ^*}#X d  
        '************************************************************************* u#Pa7_zBj]  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) bk[U/9Z\  
        GetConic eID, entity, curv, conic Z 6t56"u  
    $3W;=Id=+  
        SetConic eID, entity, 1/Rpost, CCpost VEH&&@d  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost cL-[ZvyVX  
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        '************************************************************************* |EIng0a  
        'Lens thickness (Position of posterior lens surface) TCN8a/@z  
        '************************************************************************* ?[VM6- &  
    . S!mf  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) e|NG"<  
    Gk. ruQW"  
        ' Delete any z-shift(s) g%ndvdb m  
        count = 0 BTl k Etm  
        While GetOperationCount(eID)>count F<ZYh  
            GetOperation eID, count, op c%^7!FSg  
            If op.Type="ShiftZ" Then hjU::m,WX  
                DeleteOperation eID,count bh s5x  
                count=count-1 4qphA9i1  
            End If 5/q}`T9i%7  
            count=count+1 i#&z2h-b  
        Wend \(3y7D  
    xN>npP   
        'Set new z-shift Htay-PB }  
        op.Type = "ShiftZ" gD0eFTN  
        op.val1 = tlens l3KVW5-!gS  
        op.parent = parID GSY(  
        AddOperation eID, op N@;?CKU  
        Print "Set lens thickness = " & tlens !!qK=V|>  
    CHdX;'`*  
        '************************************************************************* 8&;UO{  
        'Lens index of refraction }elc `jj  
        '************************************************************************* ;5wn67'  
        eID = FindMaterial( "Lens" ) #c!*</  
        GetModelMaterial eID, mat z(o,m3@v  
    =Ee&da^MB  
        mat.Nd = nlens ' WMh8)  
        SetModelMaterial eID, mat 8a &:6Zuo  
        Print "Set lens index of refraction = " & nlens jL y  
    )r';lGh2#  
        '************************************************************************* zUDg&-J3  
        'Pupil diameter x"eRJii?  
        '************************************************************************* Okgv!Nt8)A  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) cO-7ke  
    R7]l{2V#^  
        'Adjust pupil diameter (trimming volume inner hole) zqd@EF6/bz  
    :fKl]XO  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" V @rI`~$  
    ,4 hJT  
        ' Adjust pupil location to just in front of the lens @(l^]9(V\  
        parID = FindFullName( "Geometry.Arizona Eye" ) y9_V  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) -Bt k 3  
        count = 0 Z<U6<{b  
        While GetOperationCount(eID)>count OHv[#xGuV?  
            GetOperation eID, count, op 9*$t!r{B@  
            If op.Type="ShiftZ" Then 3NZK*!@ '  
                DeleteOperation eID,count M])ZK  
                count=count-1 3sc+3-TF  
            End If J%8(kWQ|  
            count=count+1 ::o lN  
        Wend wWgWWXGT}  
        op.Type = "ShiftZ" k2E0/ @f{k  
        op.val1 = taq-0.01 :WC2Ax7$2  
        op.parent = parID )js)2L~  
        AddOperation eID, op -VZ-<\uH  
    3E7ULK  
        Print "Set pupil diameter = " & pupilDiam Ytgcs( /$  
    -HQQw$  
        'Update AZ Eye subassembly Description >82@Q^O  
        eID = FindFullName( "Geometry.Arizona Eye" ) %el"BSB  
        GetEntity eID, entity [vge56h  
        entity.Description = "Accommodation = " & A & "D" |].pDwgt  
        SetEntity eID, entity 85lCj-cs  
    Z/Eb:  
        Update ]d55m/(   
        Print "DONE!" QS0:@.}$E)  
         ?:Mr=]sD  
    End Sub I6~pV@h^=  
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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: $ oTdfb  
    k $M]3}$U  
    Accommodation = 4 Diopters 4f@o mAM  
    Pupil Diameter = 4 mm r$5i Wu  
    Set aqueous humor thickness = 2.81 Y_}mYvJW  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 U93}-){m  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 _4TH4~cY  
    Set lens thickness = 3.927 ktI/3Mb@  
    Set lens index of refraction = 1.42672 -g)9R%>-  
    Set pupil diameter = 4 A2^\q>_#  
    DONE! W8Q|$ZJ88F  
     
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