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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 B>JRta;hj  
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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。 _RAPXU~ 6-  
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    模型 G"C'/  
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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。 L-q.Q  
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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. /5SBLp}Sy  
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    光源 0b4QcfB1[  
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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。 3>-^/  
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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。 GsxrqIaD  
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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。 f7\$rx  
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    图2. 字母F光源的设定方法光 s<aJ pi{n4  
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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 QYDSE  
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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。 tpU[KR[-  
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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。 ]~GwZB'M  
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    图5. 视网膜重点采样规格设定
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    脚本 >6KuZ_  
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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: COZ<^*=A#p  
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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。 V+(1U|@~  
    余下的脚本计算与屈光度有关的所有参数。 +co VE^/w  
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    分析 >;LXy  
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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。 ]MKW5Kq  
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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  At @H  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. Zi/ tax9C  
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    Dim entity As T_ENTITY C8W#$a  
    Dim op As T_OPERATION #rD0`[pz  
    Dim mat As T_MODELMATERIAL JZ3CCf  
    Dim A As Double }>]V_}h  
    Dim pupilDiam As Double H|JPqBNRh  
    Dim eID As Long _)XQb1]  
    Dim parID As Long IOhJL'r  
    Dim count As Integer F>RL&i  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double '"qTmo!  
    Dim tlens As Double, nlens As Double ])`w_y(>  
    Dim curv As Double, conic As Double ~.7/o0'+  
    Dim ok As Long e ?sMOBPlv  
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    Sub Main |Tv}leJF  
    'guXdX]Gu  
        '用户输入对话框 `1 A,sXfa  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 t/%{R.1MN  
            TextBox 220,21,40,21,.TextBox1 'default: 0 5 nF46c  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 4} .PQ{  
            OKButton 40,91,90,21 /<C}v~r  
            CancelButton 190,91,90,21 wIQ~a  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 =>3wI'I  
            TextBox 220,49,40,21,.TextBox2 'default: 4 ( f]@lNmx  
        End Dialog E.LD1Pm0  
        Dim dlg As UserDialog WVZ](D8Gc]  
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        ok = Dialog (dlg) H?oBax:  
    R RRF/Z;))  
        If ok=0 Then    'cancel button was pressed L)(JaZyV5  
            Print "Execution cancelled." hQ7-m.UZw  
            End /{Mo'.=Z  
        End If 27J!oin$  
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        'Assign accommodation and pupil diameter & use defaults if field left empty `)y<X#[8  
        If dlg.TextBox1 = "" Then nwS @r  
            A = 0           'Default accommodation `)~]3zmG  
        Else Z=ZTSl   
            A = CDbl(dlg.TextBox1) QQI,$HId  
        End If Fc&3tw"g  
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        If dlg.TextBox2 = "" Then Ms=5*_J2Jk  
            pupilDiam = 4   'Default pupil diameter 2JdzeJb  
        Else @6lw_E_5  
            pupilDiam = CDbl(dlg.TextBox2) |qs8( 5z0  
        End If k I?+\k\V`  
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        Print " " 6;:z?Q  
        Print "Accommodation = " & A & " Diopters" 2x5^kN7  
        Print "Pupil Diameter = " & pupilDiam & " mm" z( \4{Y  
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        ' Calculate new parameters with accommodation ^/~ZP?%]  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness b1TIVK3m  
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        Rant = 12.0 - 0.4*A                     'Radius of anterior lens 9epMw-)k  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens ej,)< *  
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        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens o;TS69|D  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens _lG|t6y  
    '\O[j*h^.  
        tlens = 3.767 + 0.04*A                  'Lens thickness "hmLe(jo}  
    ]-j.\+(*  
        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction ]4ib^R~Z  
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        'Adjust parameters to account for accommodation **V8a-@  
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        '************************************************************************* <Hf3AB;#4  
        'Aqueous thickness (Position of Lens) a,|Hn  
        '************************************************************************* 5rb<u>e{  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) I A%ZCdA;  
        GetCustomElement eID, entity %*zV&H   
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        parID = FindFullName( "Geometry.Arizona Eye" ) 38 ] }+Bb  
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        ' Delete any shift(s) in z %9 3R/bx  
        count = 0 o:'@|(&<  
        While GetOperationCount(eID)>count =Vm3f^  
            GetOperation eID, count, op t`1M}}.  
            If op.Type="ShiftZ" Then Oq^t[X'  
                DeleteOperation eID,count /3#h]5Y"T  
                count=count-1 C$0rl74Wi  
            End If enx+,[  
            count=count+1 eQz.N<f"  
        Wend GrUpATIx  
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        'Set new shift in [_eT{v2B4  
        op.Type = "ShiftZ" hg %iv%1B'  
        op.val1 = taq l 88n*O  
        op.parent = parID #<~oR5ddlb  
        AddOperation eID, op ;Fo7 -kK  
        Print "Set aqueous humor thickness = " & taq-0.55 **$kW bS  
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        '************************************************************************* ,.kmUd  
        'Radius and conic constant of anterior lens /Xq|S O  
        '************************************************************************* s#'Vasu  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) k8\ KCKql  
        GetConic eID, entity, curv, conic L@'2}7N1%  
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        SetConic eID, entity, 1/Rant, CCant cTW$;Fpc+  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant {qGXv@ I6  
    * V7bALY  
        '************************************************************************* {Q>4zepN!  
        'Radius and conic constant of posterior lens o|u4C{j  
        '************************************************************************* ce;$)Ff\  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) =), O;M  
        GetConic eID, entity, curv, conic a~ RY 8s  
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        SetConic eID, entity, 1/Rpost, CCpost LGw-cX #  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost NT2XG& $W>  
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        '************************************************************************* VDro(?p8Z  
        'Lens thickness (Position of posterior lens surface) =;GmLi3A  
        '************************************************************************* A;5_/ 2  
    ^rs{1S  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) ZeY|JH1  
    dWi< U4  
        ' Delete any z-shift(s) C =CZtjUt  
        count = 0 (-Q~@Q1  
        While GetOperationCount(eID)>count ju5o).!bg  
            GetOperation eID, count, op =`*@OJHH  
            If op.Type="ShiftZ" Then Y}xM&%  
                DeleteOperation eID,count p Hx$  
                count=count-1 M)ao}m>  
            End If V FM!K$_  
            count=count+1 Tay$::V  
        Wend ]8R@2L3s  
    /NjBC[P  
        'Set new z-shift </Y(4Xwf=  
        op.Type = "ShiftZ" *P5\T4!+d  
        op.val1 = tlens k]C k%[d  
        op.parent = parID 8KN 3|)  
        AddOperation eID, op -+u}u=z%  
        Print "Set lens thickness = " & tlens ,;hpqu|  
    FaWDAL=Vhk  
        '************************************************************************* ,}khu  
        'Lens index of refraction Z"'*A\r2  
        '************************************************************************* r`"T{o\e   
        eID = FindMaterial( "Lens" ) PjX V.gz  
        GetModelMaterial eID, mat *iY:R  
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        mat.Nd = nlens XZ{rKf2  
        SetModelMaterial eID, mat {qlcTc  
        Print "Set lens index of refraction = " & nlens U}4I29M  
    4!OGNr$V@  
        '************************************************************************* ?-%(K^y4r  
        'Pupil diameter tBfmjxv  
        '************************************************************************* FfxD=\  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) rW|%eT*/'A  
    ,;5%&T  
        'Adjust pupil diameter (trimming volume inner hole) Cg?Mk6i  
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        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" O9-`e  
    $j(d`@.DN~  
        ' Adjust pupil location to just in front of the lens [3qH? 2&  
        parID = FindFullName( "Geometry.Arizona Eye" ) h_ccE 6]t  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) v&(=^A\eN  
        count = 0 wsQ],ZE  
        While GetOperationCount(eID)>count I^( pZ9  
            GetOperation eID, count, op 4X*U~}  
            If op.Type="ShiftZ" Then &o7PB` (l  
                DeleteOperation eID,count J_7@d]0R  
                count=count-1 U,p'<rmS  
            End If XkkzY5rxOc  
            count=count+1 /;w(sU  
        Wend '(C+qwdRv  
        op.Type = "ShiftZ" F!g1.49""  
        op.val1 = taq-0.01 i$p2am8f  
        op.parent = parID RM,aG}6M)M  
        AddOperation eID, op ;-JFb$m  
    u=qaz7E  
        Print "Set pupil diameter = " & pupilDiam rr2 !H%:  
    6it [i@*"  
        'Update AZ Eye subassembly Description M ;b3- i  
        eID = FindFullName( "Geometry.Arizona Eye" ) NOwd'iU  
        GetEntity eID, entity 9G2rVk  
        entity.Description = "Accommodation = " & A & "D" q2J |koT  
        SetEntity eID, entity Q0Do B  
    ?< ^8,H  
        Update Dn J `]r  
        Print "DONE!" y\uBVa<B  
         ~E((n  
    End Sub n"aF#HR?0d  
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    如果屈光度是4,光瞳直径是4,则会输出如下数据: VD@$y^!H  
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    Accommodation = 4 Diopters 8x)i{>#i  
    Pupil Diameter = 4 mm b/qK/O8J  
    Set aqueous humor thickness = 2.81 ?D2a"a$^  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 ~GX ]K H  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 Yq51+\d  
    Set lens thickness = 3.927 +>1?ck  
    Set lens index of refraction = 1.42672 c1i:m'b_5  
    Set pupil diameter = 4 GTTEg{  
    DONE! u&c%L0)E&  
     
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