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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 R/YqyT\SM  
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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。 y)@wjH{6  
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    模型 77Y/!~kd  
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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。 ]=BB#  
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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. 7@Qcc t4A  
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    光源 ktIFI`@ w)  
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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。 })%{AfDRF  
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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。 t6c4+D'{].  
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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。 > (<f 0  
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    图2. 字母F光源的设定方法光 z$sT !QL~  
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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 e0 ecD3  
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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。 !N^@4*  
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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。 SpBy3wd  
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    图5. 视网膜重点采样规格设定
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    脚本 5^Zg>I  
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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: *-X[u:  
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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。 HzJz+ x:  
    余下的脚本计算与屈光度有关的所有参数。 6A ah9   
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    分析 7tp36TE  
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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。 "dlV k~  
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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 E{(;@PzE  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. *^`Vz?g<  
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    Dim entity As T_ENTITY Zd+bx*rD  
    Dim op As T_OPERATION t{>q|0  
    Dim mat As T_MODELMATERIAL wd6owr  
    Dim A As Double  D%Z|  
    Dim pupilDiam As Double dh\P4  
    Dim eID As Long ,zc(t<|-y  
    Dim parID As Long |W^IlqTH  
    Dim count As Integer l,).p  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double !r-F>!~  
    Dim tlens As Double, nlens As Double gqR(.Pu  
    Dim curv As Double, conic As Double \)e'`29;  
    Dim ok As Long *zLMpL_  
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    Sub Main KPki}'GO  
    'GScszz  
        '用户输入对话框 $[|mGae  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 +ge?w#R  
            TextBox 220,21,40,21,.TextBox1 'default: 0 6u%&<")4HP  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 +C)~bb*  
            OKButton 40,91,90,21 f QFk+C  
            CancelButton 190,91,90,21 '"Nr,vQo  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 A}!J$V:w]  
            TextBox 220,49,40,21,.TextBox2 'default: 4 vQ.R{!",>  
        End Dialog 2<6UwF  
        Dim dlg As UserDialog TA\vZGJ('  
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        ok = Dialog (dlg) (k P9hcV  
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        If ok=0 Then    'cancel button was pressed Nboaf  
            Print "Execution cancelled." 4ppz,L,4  
            End  :11 A  
        End If zm#  ?W  
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        'Assign accommodation and pupil diameter & use defaults if field left empty -g<oS9   
        If dlg.TextBox1 = "" Then >mkFV@`  
            A = 0           'Default accommodation ,: ^u-b|  
        Else ~M$Wd2Th  
            A = CDbl(dlg.TextBox1) YYS0`  
        End If fV~~J2IK  
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        If dlg.TextBox2 = "" Then $Kd>:f=A  
            pupilDiam = 4   'Default pupil diameter 'fW-Y!k%  
        Else ;@J}}h'y  
            pupilDiam = CDbl(dlg.TextBox2) +ai< q>+  
        End If tX[WH\(xI  
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        Print " " MOC/KNb  
        Print "Accommodation = " & A & " Diopters" R-14=|7a-  
        Print "Pupil Diameter = " & pupilDiam & " mm" u:b=\T L  
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        ' Calculate new parameters with accommodation k{0o9,  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness 4!$"ayGv;D  
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        Rant = 12.0 - 0.4*A                     'Radius of anterior lens 8EY:t zw  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens |a@L}m  
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        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens Ca-j?bb!  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens [Qr"cR^  
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        tlens = 3.767 + 0.04*A                  'Lens thickness @|!z9Y*  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction P2Y^d#jO  
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        'Adjust parameters to account for accommodation ?ubro0F:  
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        '************************************************************************* q(}bfIf  
        'Aqueous thickness (Position of Lens) `mqMLo *  
        '************************************************************************* kVL.PY\K  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) 2rMpgV5  
        GetCustomElement eID, entity ,?3G;-  
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        parID = FindFullName( "Geometry.Arizona Eye" ) jdBLsy@  
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        ' Delete any shift(s) in z .V*^|UXbHi  
        count = 0 ?Ob3tUz2  
        While GetOperationCount(eID)>count g&.=2uP  
            GetOperation eID, count, op iQ{VY ^ 0  
            If op.Type="ShiftZ" Then r*Xuj=  
                DeleteOperation eID,count @pxcpXCy  
                count=count-1 @ |r{;'  
            End If Mp]rUPK  
            count=count+1 8ipez/  
        Wend 4\i[m:e=@  
    f!"w5qC^  
        'Set new shift in 7o4\oRGV  
        op.Type = "ShiftZ" fR|A(u#9  
        op.val1 = taq Ep}s}Stlr}  
        op.parent = parID ,vDbp?)'U  
        AddOperation eID, op 54/=G(F   
        Print "Set aqueous humor thickness = " & taq-0.55 IK]d3owA  
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        '************************************************************************* ctUp=po  
        'Radius and conic constant of anterior lens Y$zSQ_k;U  
        '************************************************************************* +n)9Tz5  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) OKV8zO  
        GetConic eID, entity, curv, conic ;\]@K6m/Ap  
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        SetConic eID, entity, 1/Rant, CCant Je{ykL?N  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant q:(%*sY>  
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        '************************************************************************* ww/Uzv  
        'Radius and conic constant of posterior lens 6nQq  
        '************************************************************************* *] (iS  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) 6wxs1G  
        GetConic eID, entity, curv, conic |{8Pb3#U  
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        SetConic eID, entity, 1/Rpost, CCpost .u:GjL'$  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost "oD[v  
    /o[w4d8  
        '************************************************************************* ZW}_DT0  
        'Lens thickness (Position of posterior lens surface) }'.m*#Y  
        '************************************************************************* oQ#8nu{k  
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        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) 9gFUaDLo  
    =}*0-\QG  
        ' Delete any z-shift(s) Uv.)?YeGh  
        count = 0 pUTr!fR  
        While GetOperationCount(eID)>count "fI6Cpc  
            GetOperation eID, count, op d5.4l&\u  
            If op.Type="ShiftZ" Then r,udO,Yi=c  
                DeleteOperation eID,count w@b)g  
                count=count-1 yw!{MO  
            End If Fp:'M X  
            count=count+1 E3i4=!Y  
        Wend w &(ag$p'  
    _^;Z~/.  
        'Set new z-shift FtZ?C@1/  
        op.Type = "ShiftZ" Ei|\3Kx  
        op.val1 = tlens yLGRi^d#  
        op.parent = parID q@&6#B  
        AddOperation eID, op xmX 4qtAL  
        Print "Set lens thickness = " & tlens /mMV{[  
    '7/)Ot(  
        '************************************************************************* :t[_:3@  
        'Lens index of refraction ,>M[@4`,U  
        '************************************************************************* g :OI  
        eID = FindMaterial( "Lens" ) Th%zn2R B  
        GetModelMaterial eID, mat Kgv T"s.  
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        mat.Nd = nlens  <Uur^uB  
        SetModelMaterial eID, mat 9z0p5)]n>  
        Print "Set lens index of refraction = " & nlens G6/m#  
    ZoeD:xnh[  
        '************************************************************************* C}X\|J  
        'Pupil diameter 4W])}C %  
        '************************************************************************* !W\+#ez  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) SKtrtm  
    !<oe=)Iz|  
        'Adjust pupil diameter (trimming volume inner hole) mR~&)QBP.  
    s.#`&Sd>  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" R/_&m$ZB  
    omFz@  
        ' Adjust pupil location to just in front of the lens @c#(.=  
        parID = FindFullName( "Geometry.Arizona Eye" ) B1gR5p0  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) @L`jk+Y0vF  
        count = 0 ,_P-$lB  
        While GetOperationCount(eID)>count edD)TpmE,  
            GetOperation eID, count, op H::bwn`Vc  
            If op.Type="ShiftZ" Then jylD6IT  
                DeleteOperation eID,count <$YlH@;)`a  
                count=count-1 E{\2='3\  
            End If )_:NLo:  
            count=count+1 xoL\us`A  
        Wend teP<!RKNb  
        op.Type = "ShiftZ" NRuNKl.v  
        op.val1 = taq-0.01 8(De^H lO  
        op.parent = parID jCY %|  
        AddOperation eID, op z{543~Og59  
    Pfhmo $  
        Print "Set pupil diameter = " & pupilDiam <%^&2UMg  
    Zfw,7am/  
        'Update AZ Eye subassembly Description Om<a<q  
        eID = FindFullName( "Geometry.Arizona Eye" ) 7^Uv7< pw  
        GetEntity eID, entity sT.ss$HY9,  
        entity.Description = "Accommodation = " & A & "D" iCoX& "lb  
        SetEntity eID, entity QP x^_jA  
    maZ)cW?  
        Update y7{?Ip4[  
        Print "DONE!" 0J|3kY-n>  
         :m;p:l|W  
    End Sub _aphkeqd  
    ~Ei<Z`3}7"  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: ^OdP4m( >>  
    ("@!>|H  
    Accommodation = 4 Diopters ;a/E42eN;  
    Pupil Diameter = 4 mm {:s f7  
    Set aqueous humor thickness = 2.81 x^ni1=kU  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 `^vE9nW 7  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 mDWG7Asp  
    Set lens thickness = 3.927 \['Cj*ek  
    Set lens index of refraction = 1.42672 VTM/hJmwJ  
    Set pupil diameter = 4 +q4O D$}  
    DONE! aXVFc5C\  
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    QQ:2987619807 kstIgcI  
     
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